CINXE.COM

<!DOCTYPE html> <html class="client-nojs vector-feature-language-in-header-enabled vector-feature-language-in-main-page-header-disabled vector-feature-sticky-header-disabled vector-feature-page-tools-pinned-disabled vector-feature-toc-pinned-clientpref-1 vector-feature-main-menu-pinned-disabled vector-feature-limited-width-clientpref-1 vector-feature-limited-width-content-enabled vector-feature-custom-font-size-clientpref-1 vector-feature-appearance-pinned-clientpref-1 vector-feature-night-mode-enabled skin-theme-clientpref-day vector-toc-available" lang="en" dir="ltr"> <head> <meta charset="UTF-8"> <title>User talk:Bob K - Wikipedia</title> <script>(function(){var className="client-js vector-feature-language-in-header-enabled vector-feature-language-in-main-page-header-disabled vector-feature-sticky-header-disabled vector-feature-page-tools-pinned-disabled vector-feature-toc-pinned-clientpref-1 vector-feature-main-menu-pinned-disabled vector-feature-limited-width-clientpref-1 vector-feature-limited-width-content-enabled vector-feature-custom-font-size-clientpref-1 vector-feature-appearance-pinned-clientpref-1 vector-feature-night-mode-enabled skin-theme-clientpref-day vector-toc-available";var cookie=document.cookie.match(/(?:^|; )enwikimwclientpreferences=([^;]+)/);if(cookie){cookie[1].split('%2C').forEach(function(pref){className=className.replace(new RegExp('(^| )'+pref.replace(/-clientpref-\w+$|[^\w-]+/g,'')+'-clientpref-\\w+( |$)'),'$1'+pref+'$2');});}document.documentElement.className=className;}());RLCONF={"wgBreakFrames":false,"wgSeparatorTransformTable":["",""],"wgDigitTransformTable":["",""],"wgDefaultDateFormat":"dmy", "wgMonthNames":["","January","February","March","April","May","June","July","August","September","October","November","December"],"wgRequestId":"a728ed1d-47d2-49a8-accc-54ac6f19bba3","wgCanonicalNamespace":"User_talk","wgCanonicalSpecialPageName":false,"wgNamespaceNumber":3,"wgPageName":"User_talk:Bob_K","wgTitle":"Bob K","wgCurRevisionId":1258260636,"wgRevisionId":1258260636,"wgArticleId":3196827,"wgIsArticle":true,"wgIsRedirect":false,"wgAction":"view","wgUserName":null,"wgUserGroups":["*"],"wgCategories":[],"wgPageViewLanguage":"en","wgPageContentLanguage":"en","wgPageContentModel":"wikitext","wgRelevantPageName":"User_talk:Bob_K","wgRelevantArticleId":3196827,"wgIsProbablyEditable":true,"wgRelevantPageIsProbablyEditable":true,"wgRestrictionEdit":[],"wgRestrictionMove":[],"wgRelevantUserName":"Bob K","wgNoticeProject":"wikipedia","wgCiteReferencePreviewsActive":false,"wgFlaggedRevsParams":{"tags":{"status":{"levels":1}}},"wgMediaViewerOnClick":true,"wgMediaViewerEnabledByDefault": true,"wgPopupsFlags":0,"wgVisualEditor":{"pageLanguageCode":"en","pageLanguageDir":"ltr","pageVariantFallbacks":"en"},"wgMFDisplayWikibaseDescriptions":{"search":true,"watchlist":true,"tagline":false,"nearby":true},"wgWMESchemaEditAttemptStepOversample":false,"wgWMEPageLength":50000,"wgRelatedArticlesCompat":[],"wgCentralAuthMobileDomain":false,"wgEditSubmitButtonLabelPublish":true,"wgDiscussionToolsFeaturesEnabled":{"replytool":true,"newtopictool":true,"sourcemodetoolbar":true,"topicsubscription":false,"autotopicsub":false,"visualenhancements":false,"visualenhancements_reply":false,"visualenhancements_pageframe":false},"wgDiscussionToolsFallbackEditMode":"source","wgULSPosition":"interlanguage","wgULSisCompactLinksEnabled":false,"wgVector2022LanguageInHeader":true,"wgULSisLanguageSelectorEmpty":true,"wgCheckUserClientHintsHeadersJsApi":["brands","architecture","bitness","fullVersionList","mobile","model","platform","platformVersion"],"GEHomepageSuggestedEditsEnableTopics":true, "wgGETopicsMatchModeEnabled":false,"wgGEStructuredTaskRejectionReasonTextInputEnabled":false,"wgGELevelingUpEnabledForUser":false};RLSTATE={"ext.globalCssJs.user.styles":"ready","site.styles":"ready","user.styles":"ready","ext.globalCssJs.user":"ready","user":"ready","user.options":"loading","ext.math.styles":"ready","ext.cite.styles":"ready","ext.discussionTools.init.styles":"ready","oojs-ui-core.styles":"ready","oojs-ui.styles.indicators":"ready","mediawiki.widgets.styles":"ready","oojs-ui-core.icons":"ready","skins.vector.search.codex.styles":"ready","skins.vector.styles":"ready","skins.vector.icons":"ready","ext.wikimediamessages.styles":"ready","ext.visualEditor.desktopArticleTarget.noscript":"ready","ext.uls.interlanguage":"ready","ext.wikimediaBadges":"ready"};RLPAGEMODULES=["ext.cite.ux-enhancements","site","mediawiki.page.ready","mediawiki.toc","skins.vector.js","ext.centralNotice.geoIP","ext.centralNotice.startUp","ext.gadget.ReferenceTooltips","ext.gadget.switcher", "ext.urlShortener.toolbar","ext.centralauth.centralautologin","mmv.bootstrap","ext.popups","ext.visualEditor.desktopArticleTarget.init","ext.visualEditor.targetLoader","ext.echo.centralauth","ext.discussionTools.init","ext.eventLogging","ext.wikimediaEvents","ext.navigationTiming","ext.uls.interface","ext.cx.eventlogging.campaigns","ext.checkUser.clientHints"];</script> <script>(RLQ=window.RLQ||[]).push(function(){mw.loader.impl(function(){return["user.options@12s5i",function($,jQuery,require,module){mw.user.tokens.set({"patrolToken":"+\\","watchToken":"+\\","csrfToken":"+\\"}); }];});});</script> <link rel="stylesheet" href="/w/load.php?lang=en&modules=ext.cite.styles%7Cext.discussionTools.init.styles%7Cext.math.styles%7Cext.uls.interlanguage%7Cext.visualEditor.desktopArticleTarget.noscript%7Cext.wikimediaBadges%7Cext.wikimediamessages.styles%7Cmediawiki.widgets.styles%7Coojs-ui-core.icons%2Cstyles%7Coojs-ui.styles.indicators%7Cskins.vector.icons%2Cstyles%7Cskins.vector.search.codex.styles&only=styles&skin=vector-2022"> <script async="" src="/w/load.php?lang=en&modules=startup&only=scripts&raw=1&skin=vector-2022"></script> <meta name="ResourceLoaderDynamicStyles" content=""> <link rel="stylesheet" href="/w/load.php?lang=en&modules=site.styles&only=styles&skin=vector-2022"> <meta name="generator" content="MediaWiki 1.44.0-wmf.4"> <meta name="referrer" content="origin"> <meta name="referrer" content="origin-when-cross-origin"> <meta name="robots" content="noindex,follow,max-image-preview:standard"> <meta name="format-detection" content="telephone=no"> <meta name="viewport" content="width=1120"> <meta property="og:title" content="User talk:Bob K - Wikipedia"> <meta property="og:type" content="website"> <link rel="preconnect" href="//upload.wikimedia.org"> <link rel="alternate" media="only screen and (max-width: 640px)" href="//en.m.wikipedia.org/wiki/User_talk:Bob_K"> <link rel="alternate" type="application/x-wiki" title="Edit this page" href="/w/index.php?title=User_talk:Bob_K&action=edit"> <link rel="apple-touch-icon" href="/static/apple-touch/wikipedia.png"> <link rel="icon" href="/static/favicon/wikipedia.ico"> <link rel="search" type="application/opensearchdescription+xml" href="/w/rest.php/v1/search" title="Wikipedia (en)"> <link rel="EditURI" type="application/rsd+xml" href="//en.wikipedia.org/w/api.php?action=rsd"> <link rel="canonical" href="https://en.wikipedia.org/wiki/User_talk:Bob_K"> <link rel="license" href="https://creativecommons.org/licenses/by-sa/4.0/deed.en"> <link rel="alternate" type="application/atom+xml" title="Wikipedia Atom feed" href="/w/index.php?title=Special:RecentChanges&feed=atom"> <link rel="dns-prefetch" href="//meta.wikimedia.org" /> <link rel="dns-prefetch" href="//login.wikimedia.org"> </head> <body class="ext-discussiontools-replytool-enabled ext-discussiontools-newtopictool-enabled ext-discussiontools-sourcemodetoolbar-enabled skin--responsive skin-vector skin-vector-search-vue mediawiki ltr sitedir-ltr mw-hide-empty-elt ns-3 ns-talk mw-editable page-User_talk_Bob_K rootpage-User_talk_Bob_K skin-vector-2022 action-view"><a class="mw-jump-link" href="#bodyContent">Jump to content</a> <div class="vector-header-container"> <header class="vector-header mw-header"> <div class="vector-header-start"> <nav class="vector-main-menu-landmark" aria-label="Site"> <div id="vector-main-menu-dropdown" class="vector-dropdown vector-main-menu-dropdown vector-button-flush-left vector-button-flush-right" > <input type="checkbox" id="vector-main-menu-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-main-menu-dropdown" class="vector-dropdown-checkbox " aria-label="Main menu" > <label id="vector-main-menu-dropdown-label" for="vector-main-menu-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-menu mw-ui-icon-wikimedia-menu"></span> <span class="vector-dropdown-label-text">Main menu</span> </label> <div class="vector-dropdown-content"> <div id="vector-main-menu-unpinned-container" class="vector-unpinned-container"> <div id="vector-main-menu" class="vector-main-menu vector-pinnable-element"> <div class="vector-pinnable-header vector-main-menu-pinnable-header vector-pinnable-header-unpinned" data-feature-name="main-menu-pinned" data-pinnable-element-id="vector-main-menu" data-pinned-container-id="vector-main-menu-pinned-container" data-unpinned-container-id="vector-main-menu-unpinned-container" > <div class="vector-pinnable-header-label">Main menu</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-main-menu.pin">move to sidebar</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-main-menu.unpin">hide</button> </div> <div id="p-navigation" class="vector-menu mw-portlet mw-portlet-navigation" > <div class="vector-menu-heading"> Navigation </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-mainpage-description" class="mw-list-item"><a href="/wiki/Main_Page" title="Visit the main page [z]" accesskey="z"><span>Main page</span></a></li><li id="n-contents" class="mw-list-item"><a href="/wiki/Wikipedia:Contents" title="Guides to browsing Wikipedia"><span>Contents</span></a></li><li id="n-currentevents" class="mw-list-item"><a href="/wiki/Portal:Current_events" title="Articles related to current events"><span>Current events</span></a></li><li id="n-randompage" class="mw-list-item"><a href="/wiki/Special:Random" title="Visit a randomly selected article [x]" accesskey="x"><span>Random article</span></a></li><li id="n-aboutsite" class="mw-list-item"><a href="/wiki/Wikipedia:About" title="Learn about Wikipedia and how it works"><span>About Wikipedia</span></a></li><li id="n-contactpage" class="mw-list-item"><a href="//en.wikipedia.org/wiki/Wikipedia:Contact_us" title="How to contact Wikipedia"><span>Contact us</span></a></li> </ul> </div> </div> <div id="p-interaction" class="vector-menu mw-portlet mw-portlet-interaction" > <div class="vector-menu-heading"> Contribute </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-help" class="mw-list-item"><a href="/wiki/Help:Contents" title="Guidance on how to use and edit Wikipedia"><span>Help</span></a></li><li id="n-introduction" class="mw-list-item"><a href="/wiki/Help:Introduction" title="Learn how to edit Wikipedia"><span>Learn to edit</span></a></li><li id="n-portal" class="mw-list-item"><a href="/wiki/Wikipedia:Community_portal" title="The hub for editors"><span>Community portal</span></a></li><li id="n-recentchanges" class="mw-list-item"><a href="/wiki/Special:RecentChanges" title="A list of recent changes to Wikipedia [r]" accesskey="r"><span>Recent changes</span></a></li><li id="n-upload" class="mw-list-item"><a href="/wiki/Wikipedia:File_upload_wizard" title="Add images or other media for use on Wikipedia"><span>Upload file</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> <a href="/wiki/Main_Page" class="mw-logo"> <img class="mw-logo-icon" src="/static/images/icons/wikipedia.png" alt="" aria-hidden="true" height="50" width="50"> <span class="mw-logo-container skin-invert"> <img class="mw-logo-wordmark" alt="Wikipedia" src="/static/images/mobile/copyright/wikipedia-wordmark-en.svg" style="width: 7.5em; height: 1.125em;"> <img class="mw-logo-tagline" alt="The Free Encyclopedia" src="/static/images/mobile/copyright/wikipedia-tagline-en.svg" width="117" height="13" style="width: 7.3125em; height: 0.8125em;"> </span> </a> </div> <div class="vector-header-end"> <div id="p-search" role="search" class="vector-search-box-vue vector-search-box-collapses vector-search-box-show-thumbnail vector-search-box-auto-expand-width vector-search-box"> <a href="/wiki/Special:Search" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only search-toggle" title="Search Wikipedia [f]" accesskey="f"><span class="vector-icon mw-ui-icon-search mw-ui-icon-wikimedia-search"></span> <span>Search</span> </a> <div class="vector-typeahead-search-container"> <div class="cdx-typeahead-search cdx-typeahead-search--show-thumbnail cdx-typeahead-search--auto-expand-width"> <form action="/w/index.php" id="searchform" class="cdx-search-input cdx-search-input--has-end-button"> <div id="simpleSearch" class="cdx-search-input__input-wrapper" data-search-loc="header-moved"> <div class="cdx-text-input cdx-text-input--has-start-icon"> <input class="cdx-text-input__input" type="search" name="search" placeholder="Search Wikipedia" aria-label="Search Wikipedia" autocapitalize="sentences" title="Search Wikipedia [f]" accesskey="f" id="searchInput" > <span class="cdx-text-input__icon cdx-text-input__start-icon"></span> </div> <input type="hidden" name="title" value="Special:Search"> </div> <button class="cdx-button cdx-search-input__end-button">Search</button> </form> </div> </div> </div> <nav class="vector-user-links vector-user-links-wide" aria-label="Personal tools"> <div class="vector-user-links-main"> <div id="p-vector-user-menu-preferences" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-userpage" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <nav class="vector-appearance-landmark" aria-label="Appearance"> <div id="vector-appearance-dropdown" class="vector-dropdown " title="Change the appearance of the page's font size, width, and color" > <input type="checkbox" id="vector-appearance-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-appearance-dropdown" class="vector-dropdown-checkbox " aria-label="Appearance" > <label id="vector-appearance-dropdown-label" for="vector-appearance-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-appearance mw-ui-icon-wikimedia-appearance"></span> <span class="vector-dropdown-label-text">Appearance</span> </label> <div class="vector-dropdown-content"> <div id="vector-appearance-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <div id="p-vector-user-menu-notifications" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-overflow" class="vector-menu mw-portlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="https://donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_en.wikipedia.org&uselang=en" class=""><span>Donate</span></a> </li> <li id="pt-createaccount-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=Special:CreateAccount&returnto=User+talk%3ABob+K" title="You are encouraged to create an account and log in; however, it is not mandatory" class=""><span>Create account</span></a> </li> <li id="pt-login-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=Special:UserLogin&returnto=User+talk%3ABob+K" title="You're encouraged to log in; however, it's not mandatory. [o]" accesskey="o" class=""><span>Log in</span></a> </li> </ul> </div> </div> </div> <div id="vector-user-links-dropdown" class="vector-dropdown vector-user-menu vector-button-flush-right vector-user-menu-logged-out" title="Log in and more options" > <input type="checkbox" id="vector-user-links-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-user-links-dropdown" class="vector-dropdown-checkbox " aria-label="Personal tools" > <label id="vector-user-links-dropdown-label" for="vector-user-links-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-ellipsis mw-ui-icon-wikimedia-ellipsis"></span> <span class="vector-dropdown-label-text">Personal tools</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="User menu" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="https://donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_en.wikipedia.org&uselang=en"><span>Donate</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Special:CreateAccount&returnto=User+talk%3ABob+K" title="You are encouraged to create an account and log in; however, it is not mandatory"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>Create account</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Special:UserLogin&returnto=User+talk%3ABob+K" title="You're encouraged to log in; however, it's not mandatory. [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Log in</span></a></li> </ul> </div> </div> <div id="p-user-menu-anon-editor" class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> Pages for logged out editors <a href="/wiki/Help:Introduction" aria-label="Learn more about editing"><span>learn more</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/Special:MyContributions" title="A list of edits made from this IP address [y]" accesskey="y"><span>Contributions</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Special:MyTalk" title="Discussion about edits from this IP address [n]" accesskey="n"><span>Talk</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="Site"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="Contents" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">Contents</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">move to sidebar</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">hide</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">(Top)</div> </a> </li> <li id="toc-Finding_subpages" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Finding_subpages"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Finding subpages</span> </div> </a> <ul id="toc-Finding_subpages-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Moved_images" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Moved_images"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Moved images</span> </div> </a> <ul id="toc-Moved_images-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Convolution" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Convolution"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Convolution</span> </div> </a> <span class="ext-discussiontools-init-sidebar-meta">9 comments</span> <ul id="toc-Convolution-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Disambiguation_link_notification_for_November_19" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Disambiguation_link_notification_for_November_19"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Disambiguation link notification for November 19</span> </div> </a> <span class="ext-discussiontools-init-sidebar-meta">1 comment</span> <ul id="toc-Disambiguation_link_notification_for_November_19-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Single-sideband_modulation_answer_on_my_biggest_Question_of_life" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Single-sideband_modulation_answer_on_my_biggest_Question_of_life"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Single-sideband_modulation answer on my biggest Question of life</span> </div> </a> <span class="ext-discussiontools-init-sidebar-meta">2 comments</span> <ul id="toc-Single-sideband_modulation_answer_on_my_biggest_Question_of_life-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Examples_of_convolution" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Examples_of_convolution"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Examples of convolution</span> </div> </a> <span class="ext-discussiontools-init-sidebar-meta">1 comment</span> <button aria-controls="toc-Examples_of_convolution-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Toggle Examples of convolution subsection</span> </button> <ul id="toc-Examples_of_convolution-sublist" class="vector-toc-list"> <li id="toc-Definition" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Definition"> <div class="vector-toc-text"> <span class="vector-toc-numb">6.1</span> <span>Definition</span> </div> </a> <ul id="toc-Definition-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Domain_of_definition" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Domain_of_definition"> <div class="vector-toc-text"> <span class="vector-toc-numb">6.2</span> <span>Domain of definition</span> </div> </a> <ul id="toc-Domain_of_definition-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Circular_discrete_convolution" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Circular_discrete_convolution"> <div class="vector-toc-text"> <span class="vector-toc-numb">6.3</span> <span>Circular discrete convolution</span> </div> </a> <ul id="toc-Circular_discrete_convolution-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Circular_convolution" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Circular_convolution"> <div class="vector-toc-text"> <span class="vector-toc-numb">6.4</span> <span>Circular convolution</span> </div> </a> <ul id="toc-Circular_convolution-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Discrete_convolution" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Discrete_convolution"> <div class="vector-toc-text"> <span class="vector-toc-numb">6.5</span> <span>Discrete convolution</span> </div> </a> <ul id="toc-Discrete_convolution-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Disambiguation_link_notification_for_May_2" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Disambiguation_link_notification_for_May_2"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>Disambiguation link notification for May 2</span> </div> </a> <span class="ext-discussiontools-init-sidebar-meta">1 comment</span> <ul id="toc-Disambiguation_link_notification_for_May_2-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Some_bubble_tea_for_you!" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Some_bubble_tea_for_you!"> <div class="vector-toc-text"> <span class="vector-toc-numb">8</span> <span>Some bubble tea for you!</span> </div> </a> <span class="ext-discussiontools-init-sidebar-meta">1 comment</span> <ul id="toc-Some_bubble_tea_for_you!-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Renaming_of_Star_transform_article" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Renaming_of_Star_transform_article"> <div class="vector-toc-text"> <span class="vector-toc-numb">9</span> <span>Renaming of Star transform article</span> </div> </a> <span class="ext-discussiontools-init-sidebar-meta">2 comments</span> <ul id="toc-Renaming_of_Star_transform_article-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Your_contributions_to_Z-transform_and_Star_transform" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Your_contributions_to_Z-transform_and_Star_transform"> <div class="vector-toc-text"> <span class="vector-toc-numb">10</span> <span>Your contributions to Z-transform and Star transform</span> </div> </a> <span class="ext-discussiontools-init-sidebar-meta">5 comments</span> <ul id="toc-Your_contributions_to_Z-transform_and_Star_transform-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Instantaneous_phase" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Instantaneous_phase"> <div class="vector-toc-text"> <span class="vector-toc-numb">11</span> <span>Instantaneous phase</span> </div> </a> <span class="ext-discussiontools-init-sidebar-meta">2 comments</span> <ul id="toc-Instantaneous_phase-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Proposed_deletion_of_A_derivation_of_the_discrete_Fourier_transform" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Proposed_deletion_of_A_derivation_of_the_discrete_Fourier_transform"> <div class="vector-toc-text"> <span class="vector-toc-numb">12</span> <span>Proposed deletion of A derivation of the discrete Fourier transform</span> </div> </a> <span class="ext-discussiontools-init-sidebar-meta">1 comment</span> <ul id="toc-Proposed_deletion_of_A_derivation_of_the_discrete_Fourier_transform-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-FFT_of_the_Window_functions" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#FFT_of_the_Window_functions"> <div class="vector-toc-text"> <span class="vector-toc-numb">13</span> <span>FFT of the Window functions</span> </div> </a> <span class="ext-discussiontools-init-sidebar-meta">1 comment</span> <ul id="toc-FFT_of_the_Window_functions-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Decimation_(signal_processing)" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Decimation_(signal_processing)"> <div class="vector-toc-text"> <span class="vector-toc-numb">14</span> <span>Decimation (signal processing)</span> </div> </a> <span class="ext-discussiontools-init-sidebar-meta">3 comments</span> <ul id="toc-Decimation_(signal_processing)-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-ArbCom_Elections_2016:_Voting_now_open!" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#ArbCom_Elections_2016:_Voting_now_open!"> <div class="vector-toc-text"> <span class="vector-toc-numb">15</span> <span>ArbCom Elections 2016: Voting now open!</span> </div> </a> <span class="ext-discussiontools-init-sidebar-meta">1 comment</span> <ul id="toc-ArbCom_Elections_2016:_Voting_now_open!-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-A_barnstar_for_you!" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#A_barnstar_for_you!"> <div class="vector-toc-text"> <span class="vector-toc-numb">16</span> <span>A barnstar for you!</span> </div> </a> <span class="ext-discussiontools-init-sidebar-meta">1 comment</span> <ul id="toc-A_barnstar_for_you!-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Hamming_Window_Equation" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Hamming_Window_Equation"> <div class="vector-toc-text"> <span class="vector-toc-numb">17</span> <span>Hamming Window Equation</span> </div> </a> <span class="ext-discussiontools-init-sidebar-meta">1 comment</span> <ul id="toc-Hamming_Window_Equation-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-ArbCom_2017_election_voter_message" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#ArbCom_2017_election_voter_message"> <div class="vector-toc-text"> <span class="vector-toc-numb">18</span> <span>ArbCom 2017 election voter message</span> </div> </a> <span class="ext-discussiontools-init-sidebar-meta">1 comment</span> <ul id="toc-ArbCom_2017_election_voter_message-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Bandwidth_of_an_AM_signal" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Bandwidth_of_an_AM_signal"> <div class="vector-toc-text"> <span class="vector-toc-numb">19</span> <span>Bandwidth of an AM signal</span> </div> </a> <ul id="toc-Bandwidth_of_an_AM_signal-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Expansion" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Expansion"> <div class="vector-toc-text"> <span class="vector-toc-numb">20</span> <span>Expansion</span> </div> </a> <span class="ext-discussiontools-init-sidebar-meta">2 comments</span> <ul id="toc-Expansion-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-ArbCom_2018_election_voter_message" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#ArbCom_2018_election_voter_message"> <div class="vector-toc-text"> <span class="vector-toc-numb">21</span> <span>ArbCom 2018 election voter message</span> </div> </a> <span class="ext-discussiontools-init-sidebar-meta">1 comment</span> <ul id="toc-ArbCom_2018_election_voter_message-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Disambiguation_link_notification_for_February_22" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Disambiguation_link_notification_for_February_22"> <div class="vector-toc-text"> <span class="vector-toc-numb">22</span> <span>Disambiguation link notification for February 22</span> </div> </a> <span class="ext-discussiontools-init-sidebar-meta">1 comment</span> <ul id="toc-Disambiguation_link_notification_for_February_22-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Fourier_Transform_time_shifting_animation" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Fourier_Transform_time_shifting_animation"> <div class="vector-toc-text"> <span class="vector-toc-numb">23</span> <span>Fourier Transform time shifting animation</span> </div> </a> <span class="ext-discussiontools-init-sidebar-meta">1 comment</span> <ul id="toc-Fourier_Transform_time_shifting_animation-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Community_Insights_Survey" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Community_Insights_Survey"> <div class="vector-toc-text"> <span class="vector-toc-numb">24</span> <span>Community Insights Survey</span> </div> </a> <span class="ext-discussiontools-init-sidebar-meta">1 comment</span> <ul id="toc-Community_Insights_Survey-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Reminder:_Community_Insights_Survey" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Reminder:_Community_Insights_Survey"> <div class="vector-toc-text"> <span class="vector-toc-numb">25</span> <span>Reminder: Community Insights Survey</span> </div> </a> <span class="ext-discussiontools-init-sidebar-meta">1 comment</span> <ul id="toc-Reminder:_Community_Insights_Survey-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Reminder:_Community_Insights_Survey_2" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Reminder:_Community_Insights_Survey_2"> <div class="vector-toc-text"> <span class="vector-toc-numb">26</span> <span>Reminder: Community Insights Survey</span> </div> </a> <span class="ext-discussiontools-init-sidebar-meta">1 comment</span> <ul id="toc-Reminder:_Community_Insights_Survey_2-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-ArbCom_2019_election_voter_message" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#ArbCom_2019_election_voter_message"> <div class="vector-toc-text"> <span class="vector-toc-numb">27</span> <span>ArbCom 2019 election voter message</span> </div> </a> <span class="ext-discussiontools-init-sidebar-meta">1 comment</span> <ul id="toc-ArbCom_2019_election_voter_message-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Google_Code-In_2019_is_coming_-_please_mentor_some_documentation_tasks!" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Google_Code-In_2019_is_coming_-_please_mentor_some_documentation_tasks!"> <div class="vector-toc-text"> <span class="vector-toc-numb">28</span> <span>Google Code-In 2019 is coming - please mentor some documentation tasks!</span> </div> </a> <span class="ext-discussiontools-init-sidebar-meta">1 comment</span> <ul id="toc-Google_Code-In_2019_is_coming_-_please_mentor_some_documentation_tasks!-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Congrats!" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Congrats!"> <div class="vector-toc-text"> <span class="vector-toc-numb">29</span> <span>Congrats!</span> </div> </a> <span class="ext-discussiontools-init-sidebar-meta">9 comments</span> <ul id="toc-Congrats!-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-ArbCom_2020_Elections_voter_message" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#ArbCom_2020_Elections_voter_message"> <div class="vector-toc-text"> <span class="vector-toc-numb">30</span> <span>ArbCom 2020 Elections voter message</span> </div> </a> <span class="ext-discussiontools-init-sidebar-meta">1 comment</span> <ul id="toc-ArbCom_2020_Elections_voter_message-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Disambiguation_link_notification_for_March_3" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Disambiguation_link_notification_for_March_3"> <div class="vector-toc-text"> <span class="vector-toc-numb">31</span> <span>Disambiguation link notification for March 3</span> </div> </a> <span class="ext-discussiontools-init-sidebar-meta">1 comment</span> <ul id="toc-Disambiguation_link_notification_for_March_3-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Revert_war_with_User:Gkl329Hf293_on_Analytic_signal" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Revert_war_with_User:Gkl329Hf293_on_Analytic_signal"> <div class="vector-toc-text"> <span class="vector-toc-numb">32</span> <span>Revert war with User:Gkl329Hf293 on Analytic signal</span> </div> </a> <span class="ext-discussiontools-init-sidebar-meta">3 comments</span> <ul id="toc-Revert_war_with_User:Gkl329Hf293_on_Analytic_signal-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-ArbCom_2021_Elections_voter_message" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#ArbCom_2021_Elections_voter_message"> <div class="vector-toc-text"> <span class="vector-toc-numb">33</span> <span>ArbCom 2021 Elections voter message</span> </div> </a> <span class="ext-discussiontools-init-sidebar-meta">1 comment</span> <ul id="toc-ArbCom_2021_Elections_voter_message-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Orphaned_non-free_image_File:Flinch_No._693_game_box,_1976.jpg" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Orphaned_non-free_image_File:Flinch_No._693_game_box,_1976.jpg"> <div class="vector-toc-text"> <span class="vector-toc-numb">34</span> <span>Orphaned non-free image File:Flinch No. 693 game box, 1976.jpg</span> </div> </a> <span class="ext-discussiontools-init-sidebar-meta">1 comment</span> <ul id="toc-Orphaned_non-free_image_File:Flinch_No._693_game_box,_1976.jpg-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-ArbCom_2022_Elections_voter_message" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#ArbCom_2022_Elections_voter_message"> <div class="vector-toc-text"> <span class="vector-toc-numb">35</span> <span>ArbCom 2022 Elections voter message</span> </div> </a> <span class="ext-discussiontools-init-sidebar-meta">1 comment</span> <ul id="toc-ArbCom_2022_Elections_voter_message-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-ArbCom_2023_Elections_voter_message" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#ArbCom_2023_Elections_voter_message"> <div class="vector-toc-text"> <span class="vector-toc-numb">36</span> <span>ArbCom 2023 Elections voter message</span> </div> </a> <span class="ext-discussiontools-init-sidebar-meta">1 comment</span> <ul id="toc-ArbCom_2023_Elections_voter_message-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Links_to_user_pages_and_sandboxes" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Links_to_user_pages_and_sandboxes"> <div class="vector-toc-text"> <span class="vector-toc-numb">37</span> <span>Links to user pages and sandboxes</span> </div> </a> <span class="ext-discussiontools-init-sidebar-meta">1 comment</span> <ul id="toc-Links_to_user_pages_and_sandboxes-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Wrap_control" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Wrap_control"> <div class="vector-toc-text"> <span class="vector-toc-numb">38</span> <span>Wrap control</span> </div> </a> <span class="ext-discussiontools-init-sidebar-meta">2 comments</span> <ul id="toc-Wrap_control-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-ArbCom_2024_Elections_voter_message" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#ArbCom_2024_Elections_voter_message"> <div class="vector-toc-text"> <span class="vector-toc-numb">39</span> <span>ArbCom 2024 Elections voter message</span> </div> </a> <span class="ext-discussiontools-init-sidebar-meta">1 comment</span> <ul id="toc-ArbCom_2024_Elections_voter_message-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Contents" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Toggle the table of contents" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Toggle the table of contents</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-namespace">User talk</span><span class="mw-page-title-separator">:</span><span class="mw-page-title-main">Bob K</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang mw-portlet-lang-icon-only" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector-empty" aria-label="This article exist only in this language. Add the article for other languages" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only mw-portlet-lang-heading-empty" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language mw-ui-icon-wikimedia-language"></span> <span class="vector-dropdown-label-text">Add languages</span> </label> <div class="vector-dropdown-content"> <div class="mw-portlet-empty-language-selector-body"> Page contents not supported in other languages. </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Namespaces"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-user" class="vector-tab-noicon mw-list-item"><a href="/wiki/User:Bob_K" title="View the user page [c]" accesskey="c"><span>User page</span></a></li><li id="ca-talk" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/User_talk:Bob_K" rel="discussion" title="Discuss improvements to the content page [t]" accesskey="t"><span>Talk</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown emptyPortlet" > <input type="checkbox" id="vector-variants-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-variants-dropdown" class="vector-dropdown-checkbox " aria-label="Change language variant" > <label id="vector-variants-dropdown-label" for="vector-variants-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">English</span> </label> <div class="vector-dropdown-content"> <div id="p-variants" class="vector-menu mw-portlet mw-portlet-variants emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> </div> </div> </nav> </div> <div id="right-navigation" class="vector-collapsible"> <nav aria-label="Views"> <div id="p-views" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-views" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-view" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/User_talk:Bob_K"><span>Read</span></a></li><li id="ca-edit" class="istalk vector-tab-noicon mw-list-item"><a href="/w/index.php?title=User_talk:Bob_K&action=edit" title="Edit this page [e]" accesskey="e"><span>Edit</span></a></li><li id="ca-addsection" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=User_talk:Bob_K&action=edit&section=new" title="Start a new section [+]" accesskey="+"><span>Add topic</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=User_talk:Bob_K&action=history" title="Past revisions of this page [h]" accesskey="h"><span>View history</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Page tools"> <div id="vector-page-tools-dropdown" class="vector-dropdown vector-page-tools-dropdown" > <input type="checkbox" id="vector-page-tools-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-tools-dropdown" class="vector-dropdown-checkbox " aria-label="Tools" > <label id="vector-page-tools-dropdown-label" for="vector-page-tools-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">Tools</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-tools-unpinned-container" class="vector-unpinned-container"> <div id="vector-page-tools" class="vector-page-tools vector-pinnable-element"> <div class="vector-pinnable-header vector-page-tools-pinnable-header vector-pinnable-header-unpinned" data-feature-name="page-tools-pinned" data-pinnable-element-id="vector-page-tools" data-pinned-container-id="vector-page-tools-pinned-container" data-unpinned-container-id="vector-page-tools-unpinned-container" > <div class="vector-pinnable-header-label">Tools</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">move to sidebar</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">hide</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="More options" > <div class="vector-menu-heading"> Actions </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-more-view" class="selected vector-more-collapsible-item mw-list-item"><a href="/wiki/User_talk:Bob_K"><span>Read</span></a></li><li id="ca-more-edit" class="istalk vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=User_talk:Bob_K&action=edit" title="Edit this page [e]" accesskey="e"><span>Edit</span></a></li><li id="ca-more-addsection" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=User_talk:Bob_K&action=edit&section=new"><span>Add topic</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=User_talk:Bob_K&action=history"><span>View history</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> General </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Special:WhatLinksHere/User_talk:Bob_K" title="List of all English Wikipedia pages containing links to this page [j]" accesskey="j"><span>What links here</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Special:RecentChangesLinked/User_talk:Bob_K" rel="nofollow" title="Recent changes in pages linked from this page [k]" accesskey="k"><span>Related changes</span></a></li><li id="t-contributions" class="mw-list-item"><a href="/wiki/Special:Contributions/Bob_K" title="A list of contributions by this user"><span>User contributions</span></a></li><li id="t-log" class="mw-list-item"><a href="/wiki/Special:Log/Bob_K" title="A list of logged actions by this user"><span>User logs</span></a></li><li id="t-userrights" class="mw-list-item"><a href="/wiki/Special:UserRights/Bob_K"><span>View user groups</span></a></li><li id="t-upload" class="mw-list-item"><a href="/wiki/Wikipedia:File_Upload_Wizard" title="Upload files [u]" accesskey="u"><span>Upload file</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/Special:SpecialPages" title="A list of all special pages [q]" accesskey="q"><span>Special pages</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=User_talk:Bob_K&oldid=1258260636" title="Permanent link to this revision of this page"><span>Permanent link</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=User_talk:Bob_K&action=info" title="More information about this page"><span>Page information</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Special:UrlShortener&url=https%3A%2F%2Fen.wikipedia.org%2Fwiki%2FUser_talk%3ABob_K"><span>Get shortened URL</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Special:QrCode&url=https%3A%2F%2Fen.wikipedia.org%2Fwiki%2FUser_talk%3ABob_K"><span>Download QR code</span></a></li> </ul> </div> </div> <div id="p-coll-print_export" class="vector-menu mw-portlet mw-portlet-coll-print_export" > <div class="vector-menu-heading"> Print/export </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Special:DownloadAsPdf&page=User_talk%3ABob_K&action=show-download-screen" title="Download this page as a PDF file"><span>Download as PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=User_talk:Bob_K&printable=yes" title="Printable version of this page [p]" accesskey="p"><span>Printable version</span></a></li> </ul> </div> </div> <div id="p-wikibase-otherprojects" class="vector-menu mw-portlet mw-portlet-wikibase-otherprojects emptyPortlet" > <div class="vector-menu-heading"> In other projects </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="Page tools"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Appearance"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Appearance</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">move to sidebar</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">hide</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">From Wikipedia, the free encyclopedia</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="en" dir="ltr"><span data-mw-thread-id="h--2005-11-19T11:38:00.000Z"><span data-mw-comment-start="" id="h--2005-11-19T11:38:00.000Z"></span><span data-mw-comment-end="h--2005-11-19T11:38:00.000Z"></span></span><p><b><span data-mw-comment-start="" id="c-DV8_2XL-2005-11-19T11:38:00.000Z"></span>Welcome!</b> </p><p>Hello, Bob K, and <a href="/wiki/Wikipedia:Welcome,_newcomers" class="mw-redirect" title="Wikipedia:Welcome, newcomers">welcome</a> to Wikipedia! Thank you for your contributions. I hope you like the place and decide to stay. Here are a few good links for newcomers: </p> <ul><li><a href="/wiki/Wikipedia:Five_pillars" title="Wikipedia:Five pillars">The five pillars of Wikipedia</a></li> <li><a href="/wiki/Wikipedia:How_to_edit_a_page" class="mw-redirect" title="Wikipedia:How to edit a page">How to edit a page</a></li> <li><a href="/wiki/Help:Contents" title="Help:Contents">Help pages</a></li> <li><a href="/wiki/Wikipedia:Tutorial" class="mw-redirect" title="Wikipedia:Tutorial">Tutorial</a></li> <li><a href="/wiki/Wikipedia:How_to_write_a_great_article" class="mw-redirect" title="Wikipedia:How to write a great article">How to write a great article</a></li> <li><a href="/wiki/Wikipedia:Manual_of_Style" title="Wikipedia:Manual of Style">Manual of Style</a></li></ul> <p>I hope you enjoy editing here and being a <a href="/wiki/Wikipedia:Wikipedians" title="Wikipedia:Wikipedians">Wikipedian</a>! Please <a href="/wiki/Wikipedia:Sign_your_posts_on_talk_pages" class="mw-redirect" title="Wikipedia:Sign your posts on talk pages">sign your name</a> on talk pages using four tildes (~~~~); this will automatically produce your name and the date. If you need help, check out <a href="/wiki/Wikipedia:Where_to_ask_a_question" class="mw-redirect" title="Wikipedia:Where to ask a question">Wikipedia:Where to ask a question</a>, ask me on my talk page, or place <code>{{helpme}}</code> on your talk page and someone will show up shortly to answer your questions. Again, welcome! <a href="/wiki/User:DV8_2XL" title="User:DV8 2XL">DV8 2XL</a> <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-DV8_2XL-2005-11-19T11:38:00.000Z" class="ext-discussiontools-init-timestamplink">11:38, 19 November 2005 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-DV8_2XL-2005-11-19T11:38:00.000Z"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-DV8_2XL-2005-11-19T11:38:00.000Z"></span> </p> <meta property="mw:PageProp/toc"/> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="Finding_subpages" data-mw-thread-id="h-Finding_subpages"><span data-mw-comment-start="" id="h-Finding_subpages"></span>Finding subpages<span data-mw-comment-end="h-Finding_subpages"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=User_talk:Bob_K&action=edit&section=1" title="Edit section: Finding subpages"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Is there any way to list all the subpages of a specific page? </p> <dl><dd>To find all subpages of <a href="/wiki/Manifold" title="Manifold">Manifold</a>, for instance, go to <a href="/wiki/Special:AllPages" title="Special:AllPages">Special:Allpages</a> and type "manifold/" in the box labelled "Display all pages starting with:" (I learned this trick from <a href="/wiki/User:R.Koot" class="mw-redirect" title="User:R.Koot">R. Koot</a>) -- <a href="/wiki/User:Jitse_Niesen" title="User:Jitse Niesen">Jitse Niesen</a></dd></dl> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="Moved_images" data-mw-thread-id="h-Moved_images"><span data-mw-comment-start="" id="h-Moved_images"></span>Moved images<span data-mw-comment-end="h-Moved_images"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=User_talk:Bob_K&action=edit&section=2" title="Edit section: Moved images"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a class="external autonumber" href="https://commons.wikimedia.org/wiki/Image:Window_function_%28rectangular%29.png">[2]</a> </p> <dl><dd>I also went there and changed PD to PD-self, but I didn't realize that I was not logged in, because I wasn't a member of commons. It seemed to work anyway. Is that true? And did I need to do that? If so, shouldn't someone have notified me?... like maybe the person who moved the image? Is is going to stay in one place now? Should I have uploaded it differently than I did? -- Bob K</dd></dl> <dl><dd><dl><dd>Since the image contains English text not suitable to <a class="external free" href="https://simple.wikipedia.org/">http://simple.wikipedia.org/</a> I think <a href="/w/index.php?title=User:Tiaguito&action=edit&redlink=1" class="new" title="User:Tiaguito (page does not exist)">User:Tiaguito</a>'s move to commons was wrong, and your original upload was fine. It's not a problem since it still shows up fine in the articles. -- <a href="/wiki/User:Jeandr%C3%A9" class="mw-redirect" title="User:Jeandré">Jeandré</a>, 2006-01-11<a href="/wiki/User_talk:Jeandr%C3%A9" class="mw-redirect" title="User talk:Jeandré">t</a>11:00z</dd></dl></dd></dl> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="Convolution" data-mw-thread-id="h-Convolution-2009-01-19T11:04:00.000Z"><span data-mw-comment-start="" id="h-Convolution-2009-01-19T11:04:00.000Z"></span>Convolution<span data-mw-comment-end="h-Convolution-2009-01-19T11:04:00.000Z"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=User_talk:Bob_K&action=edit&section=3" title="Edit section: Convolution"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span><div class="ext-discussiontools-init-section-bar"><div class="ext-discussiontools-init-section-metadata"></div><div class="ext-discussiontools-init-section-actions"></div></div></div> <p><span data-mw-comment-start="" id="c-Thenub314-2009-01-19T11:04:00.000Z-Convolution"></span>Hi, your edit summary said that some characters do not appear correctly in Internet Explorer. They seem fine on my copy, which has no special fonts installed. But if this is generally a problem for people running internet explorer, then something should be done to make changes across several articles. Is it possible to get a screen shot to see what it looks like on your copy? <a href="/wiki/User:Thenub314" title="User:Thenub314">Thenub314</a> (<a href="/wiki/User_talk:Thenub314" title="User talk:Thenub314">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-Thenub314-2009-01-19T11:04:00.000Z-Convolution" class="ext-discussiontools-init-timestamplink">11:04, 19 January 2009 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Thenub314-2009-01-19T11:04:00.000Z-Convolution"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Thenub314-2009-01-19T11:04:00.000Z-Convolution"></span> </p> <dl><dd><span data-mw-comment-start="" id="c-Bob_K-2009-01-19T14:28:00.000Z-Thenub314-2009-01-19T11:04:00.000Z"></span>When <a href="/wiki/User:Bdmy" title="User:Bdmy">User:Bdmy</a> changed ƒ*<i>g</i><sub>T</sub> to ƒ∗<i>g</i><sub>T</sub>, the asterisk became an empty square (aka "box") on my IE screen. Upon further reading, such as <a href="/wiki/Talk:Set_(mathematics)#Box-fixing" title="Talk:Set (mathematics)">Talk:Set_(mathematics)#Box-fixing</a> and <a href="/wiki/Template_talk:SpecialChars#Internet_Explorer" class="mw-redirect" title="Template talk:SpecialChars">Template_talk:SpecialChars#Internet_Explorer</a>, I learned that the problem is associated with IE. I have Firefox, and it works, but I use IE for everything else, as do many other readers.</dd> <dd>--<a href="/wiki/User:Bob_K" title="User:Bob K">Bob K</a> (<a class="mw-selflink-fragment" href="#top">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-Bob_K-2009-01-19T14:28:00.000Z-Thenub314-2009-01-19T11:04:00.000Z" class="ext-discussiontools-init-timestamplink">14:28, 19 January 2009 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Bob_K-2009-01-19T14:28:00.000Z-Thenub314-2009-01-19T11:04:00.000Z"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Bob_K-2009-01-19T14:28:00.000Z-Thenub314-2009-01-19T11:04:00.000Z"></span></dd></dl> <dl><dd><dl><dd><span data-mw-comment-start="" id="c-Thenub314-2009-01-19T15:05:00.000Z-Bob_K-2009-01-19T14:28:00.000Z"></span>This is good to know. I when I tried IE on my vista machine it worked fine, when I tried on my XP machine it displayed a box. I wonder why they only fixed the bug on Vista? Oddly, as an a side, on my XP system the PNG graphics also looked very pixelated. I am surprised the issue about boxes has never come up on the <a href="/wiki/Wikipedia_talk:WPM" class="mw-redirect" title="Wikipedia talk:WPM">WT:WPM</a>. I will try to keep this in mind when editing articles, and make sure to use * instead of ∗. <a href="/wiki/User:Thenub314" title="User:Thenub314">Thenub314</a> (<a href="/wiki/User_talk:Thenub314" title="User talk:Thenub314">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-Thenub314-2009-01-19T15:05:00.000Z-Bob_K-2009-01-19T14:28:00.000Z" class="ext-discussiontools-init-timestamplink">15:05, 19 January 2009 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Thenub314-2009-01-19T15:05:00.000Z-Bob_K-2009-01-19T14:28:00.000Z"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Thenub314-2009-01-19T15:05:00.000Z-Bob_K-2009-01-19T14:28:00.000Z"></span></dd></dl></dd></dl> <dl><dd><b><span data-mw-comment-start="" id="c-Bob_K-2009-01-19T14:55:00.000Z-Thenub314-2009-01-19T11:04:00.000Z"></span>Ah Ha!</b> I discovered an easy fix. I changed <b>Times New Roman</b> to <b>Lucida Sans Unicode</b> in a pull down menu at <span class="nowrap">Tools -> Internet Options -> Fonts -> Webpage Font:</span>. That fixes the problem for me. But how do we disseminate that information to the readership?</dd> <dd>--<a href="/wiki/User:Bob_K" title="User:Bob K">Bob K</a> (<a class="mw-selflink-fragment" href="#top">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-Bob_K-2009-01-19T14:55:00.000Z-Thenub314-2009-01-19T11:04:00.000Z" class="ext-discussiontools-init-timestamplink">14:55, 19 January 2009 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Bob_K-2009-01-19T14:55:00.000Z-Thenub314-2009-01-19T11:04:00.000Z"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Bob_K-2009-01-19T14:55:00.000Z-Thenub314-2009-01-19T11:04:00.000Z"></span></dd></dl> <dl><dd><dl><dd><span data-mw-comment-start="" id="c-Thenub314-2009-01-19T15:05:00.000Z-Bob_K-2009-01-19T14:55:00.000Z"></span>Well, one could include a link on the special characters template that discusses possible fixes. <a href="/wiki/User:Thenub314" title="User:Thenub314">Thenub314</a> (<a href="/wiki/User_talk:Thenub314" title="User talk:Thenub314">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-Thenub314-2009-01-19T15:05:00.000Z-Bob_K-2009-01-19T14:55:00.000Z" class="ext-discussiontools-init-timestamplink">15:05, 19 January 2009 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Thenub314-2009-01-19T15:05:00.000Z-Bob_K-2009-01-19T14:55:00.000Z"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Thenub314-2009-01-19T15:05:00.000Z-Bob_K-2009-01-19T14:55:00.000Z"></span></dd></dl></dd></dl> <dl><dd><span data-mw-comment-start="" id="c-Bob_K-2009-01-19T15:20:00.000Z-Thenub314-2009-01-19T11:04:00.000Z"></span>Yes, I was just looking into that. But I haven't figured out where the "fix" page should exist. Any suggestions?</dd> <dd>--<a href="/wiki/User:Bob_K" title="User:Bob K">Bob K</a> (<a class="mw-selflink-fragment" href="#top">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-Bob_K-2009-01-19T15:20:00.000Z-Thenub314-2009-01-19T11:04:00.000Z" class="ext-discussiontools-init-timestamplink">15:20, 19 January 2009 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Bob_K-2009-01-19T15:20:00.000Z-Thenub314-2009-01-19T11:04:00.000Z"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Bob_K-2009-01-19T15:20:00.000Z-Thenub314-2009-01-19T11:04:00.000Z"></span></dd></dl> <dl><dd><span data-mw-comment-start="" id="c-Bob_K-2009-01-19T17:03:00.000Z-Thenub314-2009-01-19T11:04:00.000Z"></span>More progress... I just created section <a class="external text" href="https://meta.wikimedia.org/wiki/Help:Special_characters#Changing_Internet_Explorer.27s_.28IE.29_default_font">Changing Internet Explorer's (IE) default font</a></dd> <dd>--<a href="/wiki/User:Bob_K" title="User:Bob K">Bob K</a> (<a class="mw-selflink-fragment" href="#top">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-Bob_K-2009-01-19T17:03:00.000Z-Thenub314-2009-01-19T11:04:00.000Z" class="ext-discussiontools-init-timestamplink">17:03, 19 January 2009 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Bob_K-2009-01-19T17:03:00.000Z-Thenub314-2009-01-19T11:04:00.000Z"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Bob_K-2009-01-19T17:03:00.000Z-Thenub314-2009-01-19T11:04:00.000Z"></span></dd></dl> <dl><dd><dl><dd><span data-mw-comment-start="" id="c-Thenub314-2009-01-19T19:07:00.000Z-Bob_K-2009-01-19T17:03:00.000Z"></span>Nice work! It is looking much better. <a href="/wiki/User:Thenub314" title="User:Thenub314">Thenub314</a> (<a href="/wiki/User_talk:Thenub314" title="User talk:Thenub314">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-Thenub314-2009-01-19T19:07:00.000Z-Bob_K-2009-01-19T17:03:00.000Z" class="ext-discussiontools-init-timestamplink">19:07, 19 January 2009 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Thenub314-2009-01-19T19:07:00.000Z-Bob_K-2009-01-19T17:03:00.000Z"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Thenub314-2009-01-19T19:07:00.000Z-Bob_K-2009-01-19T17:03:00.000Z"></span></dd></dl></dd></dl> <dl><dd><dl><dd><dl><dd><span data-mw-comment-start="" id="c-KorgBoy-2018-08-15T12:52:00.000Z-Thenub314-2009-01-19T19:07:00.000Z"></span>From <a href="/wiki/Talk:Convolution" title="Talk:Convolution">Talk:Convolution</a> : The "reflection" of g(t) is h(t) = g(-t). E.g., h(0.2) = g(-0.2), and h(-0.2) = g(0.2). Sleep on it. --Bob K (talk) 13:56, 10 August 2018 (UTC)</dd></dl></dd></dl></dd></dl> <dl><dd><dl><dd><dl><dd><dl><dd>The fabricated reflection of g(t) about the vertical axis is h(t). It is only feasible to say that g(-t) = g(t) after that fabrication. Otherwise, it's wrong (and vague) to simply and generally say that the 'reflection of g(t) is g(-t)'. Sleep on that one. <a href="/w/index.php?title=User:KorgBoy&action=edit&redlink=1" class="new" title="User:KorgBoy (page does not exist)">KorgBoy</a> (<a href="/wiki/User_talk:KorgBoy" title="User talk:KorgBoy">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-KorgBoy-2018-08-15T12:52:00.000Z-Thenub314-2009-01-19T19:07:00.000Z" class="ext-discussiontools-init-timestamplink">12:52, 15 August 2018 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-KorgBoy-2018-08-15T12:52:00.000Z-Thenub314-2009-01-19T19:07:00.000Z"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-KorgBoy-2018-08-15T12:52:00.000Z-Thenub314-2009-01-19T19:07:00.000Z"></span></dd></dl></dd></dl></dd></dl></dd></dl> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="Disambiguation_link_notification_for_November_19" data-mw-thread-id="h-Disambiguation_link_notification_for_November_19-2012-11-19T11:28:00.000Z"><span data-mw-comment-start="" id="h-Disambiguation_link_notification_for_November_19-2012-11-19T11:28:00.000Z"></span>Disambiguation link notification for November 19<span data-mw-comment-end="h-Disambiguation_link_notification_for_November_19-2012-11-19T11:28:00.000Z"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=User_talk:Bob_K&action=edit&section=4" title="Edit section: Disambiguation link notification for November 19"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span><div class="ext-discussiontools-init-section-bar"><div class="ext-discussiontools-init-section-metadata"></div><div class="ext-discussiontools-init-section-actions"></div></div></div> <p><span data-mw-comment-start="" id="c-DPL_bot-2012-11-19T11:28:00.000Z-Disambiguation_link_notification_for_November_19"></span>Hi. Thank you for your recent edits. Wikipedia appreciates your help. We noticed though that when you edited <a href="/wiki/Fourier_analysis" title="Fourier analysis">Fourier analysis</a>, you added a link pointing to the disambiguation page <a href="/wiki/DFT" class="mw-disambig" title="DFT">DFT</a> (<a href="//toolserver.org/~dispenser/cgi-bin/dablinks.py/Fourier_analysis" class="extiw" title="tools:~dispenser/cgi-bin/dablinks.py/Fourier analysis">check to confirm</a> | <a href="//toolserver.org/~dispenser/cgi-bin/dab_solver.py/Fourier_analysis" class="extiw" title="tools:~dispenser/cgi-bin/dab solver.py/Fourier analysis">fix with Dab solver</a>). Such links are almost always unintended, since a disambiguation page is merely a list of "Did you mean..." article titles. <small>Read the <a href="/wiki/User:DPL_bot/Dablink_notification_FAQ" title="User:DPL bot/Dablink notification FAQ">FAQ</a> • Join us at the <a href="/wiki/Wikipedia:Disambiguation_pages_with_links" title="Wikipedia:Disambiguation pages with links">DPL WikiProject</a>.</small> </p><p>It's OK to remove this message. Also, to stop receiving these messages, follow these <a href="/wiki/User:DPL_bot" title="User:DPL bot">opt-out instructions</a>. Thanks, <a href="/wiki/User:DPL_bot" title="User:DPL bot">DPL bot</a> (<a href="/wiki/User_talk:DPL_bot" title="User talk:DPL bot">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-DPL_bot-2012-11-19T11:28:00.000Z-Disambiguation_link_notification_for_November_19" class="ext-discussiontools-init-timestamplink">11:28, 19 November 2012 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-DPL_bot-2012-11-19T11:28:00.000Z-Disambiguation_link_notification_for_November_19"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-DPL_bot-2012-11-19T11:28:00.000Z-Disambiguation_link_notification_for_November_19"></span> </p> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="Single-sideband_modulation_answer_on_my_biggest_Question_of_life" data-mw-thread-id="h-Single-sideband_modulation_answer_on_my_biggest_Question_of_life-2013-02-07T20:03:00.000Z"><span data-mw-comment-start="" id="h-Single-sideband_modulation_answer_on_my_biggest_Question_of_life-2013-02-07T20:03:00.000Z"></span>Single-sideband_modulation answer on my biggest Question of life<span data-mw-comment-end="h-Single-sideband_modulation_answer_on_my_biggest_Question_of_life-2013-02-07T20:03:00.000Z"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=User_talk:Bob_K&action=edit&section=5" title="Edit section: Single-sideband_modulation answer on my biggest Question of life"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span><div class="ext-discussiontools-init-section-bar"><div class="ext-discussiontools-init-section-metadata"></div><div class="ext-discussiontools-init-section-actions"></div></div></div> <p><span data-mw-comment-start="" id="c-Xakepp35-2013-02-07T20:03:00.000Z-Single-sideband_modulation_answer_on_my_biggest_Question_of_life"></span>Спасибо! Привет тебе из России. Не хворай ;-) <a rel="nofollow" class="external free" href="http://translate.google.com/#ru/en/">http://translate.google.com/#ru/en/</a> <a href="/wiki/User:Xakepp35" title="User:Xakepp35">Xakepp35</a> (<a href="/wiki/User_talk:Xakepp35" title="User talk:Xakepp35">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-Xakepp35-2013-02-07T20:03:00.000Z-Single-sideband_modulation_answer_on_my_biggest_Question_of_life" class="ext-discussiontools-init-timestamplink">20:03, 7 February 2013 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Xakepp35-2013-02-07T20:03:00.000Z-Single-sideband_modulation_answer_on_my_biggest_Question_of_life"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Xakepp35-2013-02-07T20:03:00.000Z-Single-sideband_modulation_answer_on_my_biggest_Question_of_life"></span> </p> <dl><dd><span data-mw-comment-start="" id="c-Bob_K-2013-02-08T21:21:00.000Z-Xakepp35-2013-02-07T20:03:00.000Z"></span>You're very welcome. I'm glad to know the answer actually reached you. And thanks for the well wishes. --<a href="/wiki/User:Bob_K" title="User:Bob K">Bob K</a> (<a class="mw-selflink-fragment" href="#top">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-Bob_K-2013-02-08T21:21:00.000Z-Xakepp35-2013-02-07T20:03:00.000Z" class="ext-discussiontools-init-timestamplink">21:21, 8 February 2013 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Bob_K-2013-02-08T21:21:00.000Z-Xakepp35-2013-02-07T20:03:00.000Z"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Bob_K-2013-02-08T21:21:00.000Z-Xakepp35-2013-02-07T20:03:00.000Z"></span></dd></dl> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="Examples_of_convolution" data-mw-thread-id="h-Examples_of_convolution-2013-03-09T22:14:00.000Z"><span data-mw-comment-start="" id="h-Examples_of_convolution-2013-03-09T22:14:00.000Z"></span>Examples of <a href="/wiki/Convolution" title="Convolution">convolution</a><span data-mw-comment-end="h-Examples_of_convolution-2013-03-09T22:14:00.000Z"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=User_talk:Bob_K&action=edit&section=6" title="Edit section: Examples of convolution"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span><div class="ext-discussiontools-init-section-bar"><div class="ext-discussiontools-init-section-metadata"></div><div class="ext-discussiontools-init-section-actions"></div></div></div> <p><span data-mw-comment-start="" id="c-Mathijs_Krijzer-2013-03-09T22:14:00.000Z-Examples_of_convolution"></span>I saw the wiki page, but I couldn't find any examples using actual numbers evaluating the formula. Could you give some examples of convolution, please? <a href="/w/index.php?title=User:Mathijs_Krijzer&action=edit&redlink=1" class="new" title="User:Mathijs Krijzer (page does not exist)">Mathijs Krijzer</a> (<a href="/wiki/User_talk:Mathijs_Krijzer" title="User talk:Mathijs Krijzer">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-Mathijs_Krijzer-2013-03-09T22:14:00.000Z-Examples_of_convolution" class="ext-discussiontools-init-timestamplink">22:14, 9 March 2013 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Mathijs_Krijzer-2013-03-09T22:14:00.000Z-Examples_of_convolution"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Mathijs_Krijzer-2013-03-09T22:14:00.000Z-Examples_of_convolution"></span> </p> <div class="mw-heading mw-heading4"><h4 id="Definition" data-mw-thread-id="h-Definition-Examples_of_convolution"><span data-mw-comment-start="" id="h-Definition-Examples_of_convolution"></span>Definition<span data-mw-comment-end="h-Definition-Examples_of_convolution"></span></h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=User_talk:Bob_K&action=edit&section=7" title="Edit section: Definition"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>The convolution of <i>f</i> and <i>g</i> is written <i>f</i>∗<i>g</i>, using an <a href="/wiki/Asterisk" title="Asterisk">asterisk</a> or star. It is defined as the integral of the product of the two functions after one is reversed and shifted. As such, it is a particular kind of <a href="/wiki/Integral_transform" title="Integral transform">integral transform</a>: </p> <dl><dd><table> <tbody><tr> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (f*g)(t)\ \ \,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mi>f</mi> <mo>∗</mo> <mi>g</mi> <mo stretchy="false">)</mo> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> <mtext> </mtext> <mtext> </mtext> <mspace width="thinmathspace"></mspace> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (f*g)(t)\ \ \,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/47ef1f9f1331b1cf980a00f69c88e257156a4a5a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:10.596ex; height:2.843ex;" alt="{\displaystyle (f*g)(t)\ \ \,}"/></span> </td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\stackrel {\mathrm {def} }{=}}\ \int _{-\infty }^{\infty }f(\tau )\,g(t-\tau )\,d\tau }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-REL"> <mover> <mrow class="MJX-TeXAtom-OP MJX-fixedlimits"> <mo>=</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">d</mi> <mi mathvariant="normal">e</mi> <mi mathvariant="normal">f</mi> </mrow> </mrow> </mover> </mrow> </mrow> <mtext> </mtext> <msubsup> <mo>∫</mo> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <mi mathvariant="normal">∞</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">∞</mi> </mrow> </msubsup> <mi>f</mi> <mo stretchy="false">(</mo> <mi>τ</mi> <mo stretchy="false">)</mo> <mspace width="thinmathspace"></mspace> <mi>g</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo>−</mo> <mi>τ</mi> <mo stretchy="false">)</mo> <mspace width="thinmathspace"></mspace> <mi>d</mi> <mi>τ</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\stackrel {\mathrm {def} }{=}}\ \int _{-\infty }^{\infty }f(\tau )\,g(t-\tau )\,d\tau }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/30c3ca8f4972b9997b729a89d2ab236ec77caa4e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:23.346ex; height:6.009ex;" alt="{\displaystyle {\stackrel {\mathrm {def} }{=}}\ \int _{-\infty }^{\infty }f(\tau )\,g(t-\tau )\,d\tau }"/></span> </td></tr> <tr> <td> </td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle =\int _{-\infty }^{\infty }f(t-\tau )\,g(\tau )\,d\tau .}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>=</mo> <msubsup> <mo>∫</mo> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <mi mathvariant="normal">∞</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">∞</mi> </mrow> </msubsup> <mi>f</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo>−</mo> <mi>τ</mi> <mo stretchy="false">)</mo> <mspace width="thinmathspace"></mspace> <mi>g</mi> <mo stretchy="false">(</mo> <mi>τ</mi> <mo stretchy="false">)</mo> <mspace width="thinmathspace"></mspace> <mi>d</mi> <mi>τ</mi> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle =\int _{-\infty }^{\infty }f(t-\tau )\,g(\tau )\,d\tau .}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2df6a1b45cdb754e633962fb137a805d967c9845" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:23.223ex; height:6.009ex;" alt="{\displaystyle =\int _{-\infty }^{\infty }f(t-\tau )\,g(\tau )\,d\tau .}"/></span> (<a href="#Properties">commutativity</a>) </td></tr></tbody></table></dd></dl> <div class="mw-heading mw-heading4"><h4 id="Domain_of_definition" data-mw-thread-id="h-Domain_of_definition-Examples_of_convolution"><span data-mw-comment-start="" id="h-Domain_of_definition-Examples_of_convolution"></span>Domain of definition<span data-mw-comment-end="h-Domain_of_definition-Examples_of_convolution"></span></h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=User_talk:Bob_K&action=edit&section=8" title="Edit section: Domain of definition"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>The convolution of two complex-valued functions on <b>R</b><sup><i>d</i></sup> </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (f*g)(x)=\int _{\mathbf {R} ^{d}}f(y)g(x-y)\,dy}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mi>f</mi> <mo>∗</mo> <mi>g</mi> <mo stretchy="false">)</mo> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> <mo>=</mo> <msub> <mo>∫</mo> <mrow class="MJX-TeXAtom-ORD"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="bold">R</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>d</mi> </mrow> </msup> </mrow> </msub> <mi>f</mi> <mo stretchy="false">(</mo> <mi>y</mi> <mo stretchy="false">)</mo> <mi>g</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo>−</mo> <mi>y</mi> <mo stretchy="false">)</mo> <mspace width="thinmathspace"></mspace> <mi>d</mi> <mi>y</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (f*g)(x)=\int _{\mathbf {R} ^{d}}f(y)g(x-y)\,dy}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/78eb429cee1a779700061220d41049e985f1da1f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:32.079ex; height:5.676ex;" alt="{\displaystyle (f*g)(x)=\int _{\mathbf {R} ^{d}}f(y)g(x-y)\,dy}"/></span></dd></dl> <p>is well-defined only if <i>f</i> and <i>g</i> decay sufficiently rapidly at infinity in order for the integral to exist. Conditions for the existence of the convolution may be tricky, since a blow-up in <i>g</i> at infinity can be easily offset by sufficiently rapid decay in <i>f</i>. The question of existence thus may involve different conditions on <i>f</i> and <i>g</i>. </p> <div class="mw-heading mw-heading4"><h4 id="Circular_discrete_convolution" data-mw-thread-id="h-Circular_discrete_convolution-Examples_of_convolution"><span data-mw-comment-start="" id="h-Circular_discrete_convolution-Examples_of_convolution"></span>Circular discrete convolution<span data-mw-comment-end="h-Circular_discrete_convolution-Examples_of_convolution"></span></h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=User_talk:Bob_K&action=edit&section=9" title="Edit section: Circular discrete convolution"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>When a function <i>g<sub>N</sub></i> is periodic, with period <i>N</i>, then for functions, <i>f</i>, such that <i>f</i>∗<i>g<sub>N</sub></i> exists, the convolution is also periodic and identical to: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (f*g_{N})[n]\equiv \sum _{m=0}^{N-1}\left(\sum _{k=-\infty }^{\infty }{f}[m+kN]\right)g_{N}[n-m].\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mi>f</mi> <mo>∗</mo> <msub> <mi>g</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>N</mi> </mrow> </msub> <mo stretchy="false">)</mo> <mo stretchy="false">[</mo> <mi>n</mi> <mo stretchy="false">]</mo> <mo>≡</mo> <munderover> <mo>∑</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>m</mi> <mo>=</mo> <mn>0</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>N</mi> <mo>−</mo> <mn>1</mn> </mrow> </munderover> <mrow> <mo>(</mo> <mrow> <munderover> <mo>∑</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> <mo>=</mo> <mo>−</mo> <mi mathvariant="normal">∞</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">∞</mi> </mrow> </munderover> <mrow class="MJX-TeXAtom-ORD"> <mi>f</mi> </mrow> <mo stretchy="false">[</mo> <mi>m</mi> <mo>+</mo> <mi>k</mi> <mi>N</mi> <mo stretchy="false">]</mo> </mrow> <mo>)</mo> </mrow> <msub> <mi>g</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>N</mi> </mrow> </msub> <mo stretchy="false">[</mo> <mi>n</mi> <mo>−</mo> <mi>m</mi> <mo stretchy="false">]</mo> <mo>.</mo> <mspace width="thinmathspace"></mspace> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (f*g_{N})[n]\equiv \sum _{m=0}^{N-1}\left(\sum _{k=-\infty }^{\infty }{f}[m+kN]\right)g_{N}[n-m].\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/85512f0cc63fbdc3ecff2a1565b830297ec71bb7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.171ex; width:49.461ex; height:7.509ex;" alt="{\displaystyle (f*g_{N})[n]\equiv \sum _{m=0}^{N-1}\left(\sum _{k=-\infty }^{\infty }{f}[m+kN]\right)g_{N}[n-m].\,}"/></span></dd></dl> <div class="mw-heading mw-heading4"><h4 id="Circular_convolution" data-mw-thread-id="h-Circular_convolution-Examples_of_convolution"><span data-mw-comment-start="" id="h-Circular_convolution-Examples_of_convolution"></span>Circular convolution<span data-mw-comment-end="h-Circular_convolution-Examples_of_convolution"></span></h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=User_talk:Bob_K&action=edit&section=10" title="Edit section: Circular convolution"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1236090951">.mw-parser-output .hatnote{font-style:italic}.mw-parser-output div.hatnote{padding-left:1.6em;margin-bottom:0.5em}.mw-parser-output .hatnote i{font-style:normal}.mw-parser-output .hatnote+link+.hatnote{margin-top:-0.5em}@media print{body.ns-0 .mw-parser-output .hatnote{display:none!important}}</style><div role="note" class="hatnote navigation-not-searchable">Main article: <a href="/wiki/Circular_convolution" title="Circular convolution">Circular convolution</a></div> <p>When a function <i>g</i><sub><i>T</i></sub> is periodic, with period <i>T</i>, then for functions, <i>f</i>, such that <i>f</i>∗<i>g</i><sub><i>T</i></sub> exists, the convolution is also periodic and identical to: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (f*g_{T})(t)\equiv \int _{t_{0}}^{t_{0}+T}\left[\sum _{k=-\infty }^{\infty }f(\tau +kT)\right]g_{T}(t-\tau )\,d\tau ,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mi>f</mi> <mo>∗</mo> <msub> <mi>g</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>T</mi> </mrow> </msub> <mo stretchy="false">)</mo> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> <mo>≡</mo> <msubsup> <mo>∫</mo> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> </mrow> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>t</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mo>+</mo> <mi>T</mi> </mrow> </msubsup> <mrow> <mo>[</mo> <mrow> <munderover> <mo>∑</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> <mo>=</mo> <mo>−</mo> <mi mathvariant="normal">∞</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">∞</mi> </mrow> </munderover> <mi>f</mi> <mo stretchy="false">(</mo> <mi>τ</mi> <mo>+</mo> <mi>k</mi> <mi>T</mi> <mo stretchy="false">)</mo> </mrow> <mo>]</mo> </mrow> <msub> <mi>g</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>T</mi> </mrow> </msub> <mo stretchy="false">(</mo> <mi>t</mi> <mo>−</mo> <mi>τ</mi> <mo stretchy="false">)</mo> <mspace width="thinmathspace"></mspace> <mi>d</mi> <mi>τ</mi> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (f*g_{T})(t)\equiv \int _{t_{0}}^{t_{0}+T}\left[\sum _{k=-\infty }^{\infty }f(\tau +kT)\right]g_{T}(t-\tau )\,d\tau ,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/46ca67ae76bc1e6841511aa12fab10aed9cb970d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.171ex; width:51.633ex; height:7.509ex;" alt="{\displaystyle (f*g_{T})(t)\equiv \int _{t_{0}}^{t_{0}+T}\left[\sum _{k=-\infty }^{\infty }f(\tau +kT)\right]g_{T}(t-\tau )\,d\tau ,}"/></span></dd></dl> <p>where <i>t</i><sub>o</sub> is an arbitrary choice. The summation is called a <a href="/wiki/Periodic_summation" title="Periodic summation">periodic summation</a> of the function <i>f</i>. </p> <div class="mw-heading mw-heading4"><h4 id="Discrete_convolution" data-mw-thread-id="h-Discrete_convolution-Examples_of_convolution"><span data-mw-comment-start="" id="h-Discrete_convolution-Examples_of_convolution"></span>Discrete convolution<span data-mw-comment-end="h-Discrete_convolution-Examples_of_convolution"></span></h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=User_talk:Bob_K&action=edit&section=11" title="Edit section: Discrete convolution"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>For complex-valued functions <i>f</i>, <i>g</i> defined on the set <b>Z</b> of integers, the <b>discrete convolution</b> of <i>f</i> and <i>g</i> is given by: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (f*g)[n]\ {\stackrel {\mathrm {def} }{=}}\ \sum _{m=-\infty }^{\infty }f[m]\,g[n-m]}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">(</mo> <mi>f</mi> <mo>∗</mo> <mi>g</mi> <mo stretchy="false">)</mo> <mo stretchy="false">[</mo> <mi>n</mi> <mo stretchy="false">]</mo> <mtext> </mtext> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-REL"> <mover> <mrow class="MJX-TeXAtom-OP MJX-fixedlimits"> <mo>=</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">d</mi> <mi mathvariant="normal">e</mi> <mi mathvariant="normal">f</mi> </mrow> </mrow> </mover> </mrow> </mrow> <mtext> </mtext> <munderover> <mo>∑</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>m</mi> <mo>=</mo> <mo>−</mo> <mi mathvariant="normal">∞</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">∞</mi> </mrow> </munderover> <mi>f</mi> <mo stretchy="false">[</mo> <mi>m</mi> <mo stretchy="false">]</mo> <mspace width="thinmathspace"></mspace> <mi>g</mi> <mo stretchy="false">[</mo> <mi>n</mi> <mo>−</mo> <mi>m</mi> <mo stretchy="false">]</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle (f*g)[n]\ {\stackrel {\mathrm {def} }{=}}\ \sum _{m=-\infty }^{\infty }f[m]\,g[n-m]}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/271b9c48087f01b626627a423d8e9003aa765728" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.005ex; width:32.606ex; height:6.843ex;" alt="{\displaystyle (f*g)[n]\ {\stackrel {\mathrm {def} }{=}}\ \sum _{m=-\infty }^{\infty }f[m]\,g[n-m]}"/></span> <dl><dd><dl><dd><dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle =\sum _{m=-\infty }^{\infty }f[n-m]\,g[m].}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>=</mo> <munderover> <mo>∑</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>m</mi> <mo>=</mo> <mo>−</mo> <mi mathvariant="normal">∞</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">∞</mi> </mrow> </munderover> <mi>f</mi> <mo stretchy="false">[</mo> <mi>n</mi> <mo>−</mo> <mi>m</mi> <mo stretchy="false">]</mo> <mspace width="thinmathspace"></mspace> <mi>g</mi> <mo stretchy="false">[</mo> <mi>m</mi> <mo stretchy="false">]</mo> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle =\sum _{m=-\infty }^{\infty }f[n-m]\,g[m].}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f067498b1393be11cf4cecfb08f3096f14bdce59" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.005ex; width:22.815ex; height:6.843ex;" alt="{\displaystyle =\sum _{m=-\infty }^{\infty }f[n-m]\,g[m].}"/></span> (<a href="#Properties">commutativity</a>)</dd></dl></dd></dl></dd></dl></dd></dl> <p>When multiplying two <a href="/wiki/Polynomial" title="Polynomial">polynomials</a>, the coefficients of the product are given by the convolution of the original coefficient <a href="/wiki/Sequence" title="Sequence">sequences</a>, extended with zeros where necessary to avoid undefined terms; this is known as the <a href="/wiki/Cauchy_product" title="Cauchy product">Cauchy product</a> of the coefficients of the two polynomials. </p> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="Disambiguation_link_notification_for_May_2" data-mw-thread-id="h-Disambiguation_link_notification_for_May_2-2013-05-02T11:16:00.000Z"><span data-mw-comment-start="" id="h-Disambiguation_link_notification_for_May_2-2013-05-02T11:16:00.000Z"></span>Disambiguation link notification for May 2<span data-mw-comment-end="h-Disambiguation_link_notification_for_May_2-2013-05-02T11:16:00.000Z"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=User_talk:Bob_K&action=edit&section=12" title="Edit section: Disambiguation link notification for May 2"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span><div class="ext-discussiontools-init-section-bar"><div class="ext-discussiontools-init-section-metadata"></div><div class="ext-discussiontools-init-section-actions"></div></div></div> <p><span data-mw-comment-start="" id="c-DPL_bot-2013-05-02T11:16:00.000Z-Disambiguation_link_notification_for_May_2"></span>Hi. Thank you for your recent edits. Wikipedia appreciates your help. We noticed though that when you edited <a href="/wiki/Nyquist_rate" title="Nyquist rate">Nyquist rate</a>, you added a link pointing to the disambiguation page <a href="/wiki/Bandwidth" class="mw-disambig" title="Bandwidth">Bandwidth</a> (<a href="//toolserver.org/~dispenser/cgi-bin/dablinks.py/Nyquist_rate" class="extiw" title="tools:~dispenser/cgi-bin/dablinks.py/Nyquist rate">check to confirm</a> | <a href="//toolserver.org/~dispenser/cgi-bin/dab_solver.py/Nyquist_rate" class="extiw" title="tools:~dispenser/cgi-bin/dab solver.py/Nyquist rate">fix with Dab solver</a>). Such links are almost always unintended, since a disambiguation page is merely a list of "Did you mean..." article titles. <small>Read the <a href="/wiki/User:DPL_bot/Dablink_notification_FAQ" title="User:DPL bot/Dablink notification FAQ">FAQ</a> • Join us at the <a href="/wiki/Wikipedia:Disambiguation_pages_with_links" title="Wikipedia:Disambiguation pages with links">DPL WikiProject</a>.</small> </p><p>It's OK to remove this message. Also, to stop receiving these messages, follow these <a href="/wiki/User:DPL_bot" title="User:DPL bot">opt-out instructions</a>. Thanks, <a href="/wiki/User:DPL_bot" title="User:DPL bot">DPL bot</a> (<a href="/wiki/User_talk:DPL_bot" title="User talk:DPL bot">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-DPL_bot-2013-05-02T11:16:00.000Z-Disambiguation_link_notification_for_May_2" class="ext-discussiontools-init-timestamplink">11:16, 2 May 2013 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-DPL_bot-2013-05-02T11:16:00.000Z-Disambiguation_link_notification_for_May_2"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-DPL_bot-2013-05-02T11:16:00.000Z-Disambiguation_link_notification_for_May_2"></span> </p> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="Some_bubble_tea_for_you!" data-mw-thread-id="h-Some_bubble_tea_for_you!-2014-02-04T22:26:00.000Z"><span id="Some_bubble_tea_for_you.21"></span><span data-mw-comment-start="" id="h-Some_bubble_tea_for_you!-2014-02-04T22:26:00.000Z"></span>Some bubble tea for you!<span data-mw-comment-end="h-Some_bubble_tea_for_you!-2014-02-04T22:26:00.000Z"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=User_talk:Bob_K&action=edit&section=13" title="Edit section: Some bubble tea for you!"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span><div class="ext-discussiontools-init-section-bar"><div class="ext-discussiontools-init-section-metadata"></div><div class="ext-discussiontools-init-section-actions"></div></div></div> <table style="background-color: #fdffe7; border: 1px solid #fceb92;"> <tbody><tr> <td style="vertical-align: middle; padding: 5px;"><span data-mw-comment-start="" id="c-David_Lloyd-Jones-2014-02-04T22:26:00.000Z-Some_bubble_tea_for_you!"></span><span typeof="mw:File"><a href="/wiki/File:Bubble_Tea.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a2/Bubble_Tea.png/65px-Bubble_Tea.png" decoding="async" width="65" height="122" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a2/Bubble_Tea.png/98px-Bubble_Tea.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a2/Bubble_Tea.png/130px-Bubble_Tea.png 2x" data-file-width="434" data-file-height="812"/></a></span> </td> <td style="vertical-align: middle; padding: 3px;">I thought your comment on the technical sophistication of a signls processing article I was reading was very sensible. <pre><a href="/wiki/User:David_Lloyd-Jones" title="User:David Lloyd-Jones">David Lloyd-Jones</a> (<a href="/wiki/User_talk:David_Lloyd-Jones" title="User talk:David Lloyd-Jones">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-David_Lloyd-Jones-2014-02-04T22:26:00.000Z-Some_bubble_tea_for_you!" class="ext-discussiontools-init-timestamplink">22:26, 4 February 2014 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-David_Lloyd-Jones-2014-02-04T22:26:00.000Z-Some_bubble_tea_for_you!"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-David_Lloyd-Jones-2014-02-04T22:26:00.000Z-Some_bubble_tea_for_you!"></span> </pre> </td></tr></tbody></table> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="Renaming_of_Star_transform_article" data-mw-thread-id="h-Renaming_of_Star_transform_article-2014-02-06T13:04:00.000Z"><span data-mw-comment-start="" id="h-Renaming_of_Star_transform_article-2014-02-06T13:04:00.000Z"></span>Renaming of <a href="/wiki/Star_transform" class="mw-redirect" title="Star transform">Star transform</a> article<span data-mw-comment-end="h-Renaming_of_Star_transform_article-2014-02-06T13:04:00.000Z"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=User_talk:Bob_K&action=edit&section=14" title="Edit section: Renaming of Star transform article"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span><div class="ext-discussiontools-init-section-bar"><div class="ext-discussiontools-init-section-metadata"></div><div class="ext-discussiontools-init-section-actions"></div></div></div> <p><span data-mw-comment-start="" id="c-Sagie-2014-02-06T13:04:00.000Z-Renaming_of_Star_transform_article"></span>Please explain the criteria for your assertion that (quote): "<i>"starred transform" receives the higher percentage of relevant hits on the internet</i>", which was your argument for renaming the article "star transform". Consider the following results: </p> <dl><dd><ul><li>"star transform" <ul><li>Google Scholar: 125 results</li> <li>IEEE Xplore: 4 results</li></ul></li> <li>"starred transform" <ul><li>Google Scholar: 36 results</li> <li>IEEE Xplore: 1 result</li></ul></li></ul></dd></dl> <p>Based on these results, I expect you to revert your changes. --<a href="/wiki/User:Sagie" title="User:Sagie">Sagie</a> (<a href="/wiki/User_talk:Sagie" title="User talk:Sagie">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-Sagie-2014-02-06T13:04:00.000Z-Renaming_of_Star_transform_article" class="ext-discussiontools-init-timestamplink">13:04, 6 February 2014 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Sagie-2014-02-06T13:04:00.000Z-Renaming_of_Star_transform_article"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Sagie-2014-02-06T13:04:00.000Z-Renaming_of_Star_transform_article"></span> </p> <dl><dd><span data-mw-comment-start="" id="c-Bob_K-2014-02-06T14:32:00.000Z-Sagie-2014-02-06T13:04:00.000Z"></span>I saw the Google Scholar results, but my informal inspection of the hits revealed that the "star transform" hits were mostly about text compression algorithms, which I assume are irrelevant here. There were many other irrelevant hits as well.</dd> <dd>--<a href="/wiki/User:Bob_K" title="User:Bob K">Bob K</a> (<a class="mw-selflink-fragment" href="#top">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-Bob_K-2014-02-06T14:32:00.000Z-Sagie-2014-02-06T13:04:00.000Z" class="ext-discussiontools-init-timestamplink">14:32, 6 February 2014 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Bob_K-2014-02-06T14:32:00.000Z-Sagie-2014-02-06T13:04:00.000Z"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Bob_K-2014-02-06T14:32:00.000Z-Sagie-2014-02-06T13:04:00.000Z"></span></dd></dl> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="Your_contributions_to_Z-transform_and_Star_transform" data-mw-thread-id="h-Your_contributions_to_Z-transform_and_Star_transform-2014-02-06T13:09:00.000Z"><span data-mw-comment-start="" id="h-Your_contributions_to_Z-transform_and_Star_transform-2014-02-06T13:09:00.000Z"></span>Your contributions to <a href="/wiki/Z-transform" title="Z-transform">Z-transform</a> and <a href="/wiki/Star_transform" class="mw-redirect" title="Star transform">Star transform</a><span data-mw-comment-end="h-Your_contributions_to_Z-transform_and_Star_transform-2014-02-06T13:09:00.000Z"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=User_talk:Bob_K&action=edit&section=15" title="Edit section: Your contributions to Z-transform and Star transform"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span><div class="ext-discussiontools-init-section-bar"><div class="ext-discussiontools-init-section-metadata"></div><div class="ext-discussiontools-init-section-actions"></div></div></div> <p><span data-mw-comment-start="" id="c-Sagie-2014-02-06T13:09:00.000Z-Your_contributions_to_Z-transform_and_Star_transform"></span>While your contribution to said articles is very appreciated, you have also been systematically deleting information from them. Specifically, you have deleted (twice) information about relationship between the Z-transform and the Laplace transform, by means of the star transform: </p> <ol><li>in your first edits that relationship was removed altogether.</li> <li>in your last edits (following my retrieval of said information) you've removed information regarding the conversion from a continuous-time Laplace representation to a discrete time Z/star representation, which is what the star transform is all about, since from before it was even known as star/starred transform (see E. Jury, "Analysis and Synthesis of Sampled-Data Control Systems", Sept. 1954)</li></ol> <p>While the information about star transform could probably have been presented more succinctly in the Z-transform article, I find removing it altogether is completely unacceptable. I'd appreciate your reinstating of the removed information. </p><p>--<a href="/wiki/User:Sagie" title="User:Sagie">Sagie</a> (<a href="/wiki/User_talk:Sagie" title="User talk:Sagie">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-Sagie-2014-02-06T13:09:00.000Z-Your_contributions_to_Z-transform_and_Star_transform" class="ext-discussiontools-init-timestamplink">13:09, 6 February 2014 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Sagie-2014-02-06T13:09:00.000Z-Your_contributions_to_Z-transform_and_Star_transform"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Sagie-2014-02-06T13:09:00.000Z-Your_contributions_to_Z-transform_and_Star_transform"></span> </p> <dl><dd><dl><dd><span data-mw-comment-start="" id="c-Sagie-2014-02-06T13:11:00.000Z-Sagie-2014-02-06T13:09:00.000Z"></span>Regarding the second point I made, note that you've removed this information from both articles (<a href="/wiki/Z-transform" title="Z-transform">Z-transform</a> and <a href="/wiki/Star_transform" class="mw-redirect" title="Star transform">Star transform</a>)</dd> <dd>--<a href="/wiki/User:Sagie" title="User:Sagie">Sagie</a> (<a href="/wiki/User_talk:Sagie" title="User talk:Sagie">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-Sagie-2014-02-06T13:11:00.000Z-Sagie-2014-02-06T13:09:00.000Z" class="ext-discussiontools-init-timestamplink">13:11, 6 February 2014 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Sagie-2014-02-06T13:11:00.000Z-Sagie-2014-02-06T13:09:00.000Z"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Sagie-2014-02-06T13:11:00.000Z-Sagie-2014-02-06T13:09:00.000Z"></span></dd></dl></dd></dl> <p><br/><span data-mw-comment-start="" id="c-Bob_K-2014-02-06T15:41:00.000Z-Your_contributions_to_Z-transform_and_Star_transform"></span> Comparing the current version of <a href="/wiki/Starred_transform" title="Starred transform">Starred transform</a> to the 23Mar'13 version, it appears that what you're concerned about is merely this: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x(t)\rightarrow X^{*}(s)\rightarrow x^{*}(t)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>x</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> <mo stretchy="false">→</mo> <msup> <mi>X</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>∗</mo> </mrow> </msup> <mo stretchy="false">(</mo> <mi>s</mi> <mo stretchy="false">)</mo> <mo stretchy="false">→</mo> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>∗</mo> </mrow> </msup> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x(t)\rightarrow X^{*}(s)\rightarrow x^{*}(t)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c09d6680f321656c1d7e3222da6eee98e98ef6a7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:22.19ex; height:2.843ex;" alt="{\displaystyle x(t)\rightarrow X^{*}(s)\rightarrow x^{*}(t)}"/></span></dd></dl> <p>Really? </p><p>--<a href="/wiki/User:Bob_K" title="User:Bob K">Bob K</a> (<a class="mw-selflink-fragment" href="#top">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-Bob_K-2014-02-06T15:41:00.000Z-Your_contributions_to_Z-transform_and_Star_transform" class="ext-discussiontools-init-timestamplink">15:41, 6 February 2014 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Bob_K-2014-02-06T15:41:00.000Z-Your_contributions_to_Z-transform_and_Star_transform"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Bob_K-2014-02-06T15:41:00.000Z-Your_contributions_to_Z-transform_and_Star_transform"></span> </p> <dl><dd><dl><dd><span data-mw-comment-start="" id="c-Sagie-2014-02-19T12:30:00.000Z-Bob_K-2014-02-06T15:41:00.000Z"></span>I don't know why you're playing dumb. Your changes to said article are far more than the above mentioned deletion. What I'm mainly concerned about is you deleting the following paragraph, which the main way to convert between the transforms: <dl><dd><dl><dd>The star transform can be related to the <a href="/wiki/Laplace_transform" title="Laplace transform">Laplace transform</a>, by taking the residues of the Laplace transform of a function, as such:</dd> <dd> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle X^{*}(s)=\sum {\bigg [}{\text{residues of }}X(\lambda ){\frac {1}{1-e^{-T(s-\lambda )}}}{\bigg ]}_{{\text{at poles of }}X(\lambda )},}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>X</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>∗</mo> </mrow> </msup> <mo stretchy="false">(</mo> <mi>s</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mo>∑</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mo maxsize="2.047em" minsize="2.047em">[</mo> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mtext>residues of </mtext> </mrow> <mi>X</mi> <mo stretchy="false">(</mo> <mi>λ</mi> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mrow> <mn>1</mn> <mo>−</mo> <msup> <mi>e</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <mi>T</mi> <mo stretchy="false">(</mo> <mi>s</mi> <mo>−</mo> <mi>λ</mi> <mo stretchy="false">)</mo> </mrow> </msup> </mrow> </mfrac> </mrow> <msub> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mo maxsize="2.047em" minsize="2.047em">]</mo> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mtext>at poles of </mtext> </mrow> <mi>X</mi> <mo stretchy="false">(</mo> <mi>λ</mi> <mo stretchy="false">)</mo> </mrow> </msub> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle X^{*}(s)=\sum {\bigg [}{\text{residues of }}X(\lambda ){\frac {1}{1-e^{-T(s-\lambda )}}}{\bigg ]}_{{\text{at poles of }}X(\lambda )},}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/59044a7a824c68235098845532661cd9741755a6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.005ex; width:56.962ex; height:6.676ex;" alt="{\displaystyle X^{*}(s)=\sum {\bigg [}{\text{residues of }}X(\lambda ){\frac {1}{1-e^{-T(s-\lambda )}}}{\bigg ]}_{{\text{at poles of }}X(\lambda )},}"/></span></dd></dl></dd></dl></dd></dl></dd> <dd>--<a href="/wiki/User:Sagie" title="User:Sagie">Sagie</a> (<a href="/wiki/User_talk:Sagie" title="User talk:Sagie">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-Sagie-2014-02-19T12:30:00.000Z-Bob_K-2014-02-06T15:41:00.000Z" class="ext-discussiontools-init-timestamplink">12:30, 19 February 2014 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Sagie-2014-02-19T12:30:00.000Z-Bob_K-2014-02-06T15:41:00.000Z"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Sagie-2014-02-19T12:30:00.000Z-Bob_K-2014-02-06T15:41:00.000Z"></span></dd></dl></dd></dl> <p><span data-mw-comment-start="" id="c-Bob_K-2014-02-19T17:09:00.000Z-Your_contributions_to_Z-transform_and_Star_transform"></span>First of all, your point no. 1 is irrelevant. It's quibbling about the route I took, rather than the result. Regarding your point no. 2, indeed I seem to have made a mistake when I tried to compare the Feb 6 version (<a class="external free" href="https://en.wikipedia.org/w/index.php?title=Starred_transform&oldid=594159008">https://en.wikipedia.org/w/index.php?title=Starred_transform&oldid=594159008</a>) version with the Mar 2013 version (<a class="external free" href="https://en.wikipedia.org/w/index.php?title=Starred_transform&oldid=546556726">https://en.wikipedia.org/w/index.php?title=Starred_transform&oldid=546556726</a>). Had I done it correctly, my suggestion would have been to better-support the deleted, isolated fragment, as you have now apparently done (<a href="/wiki/Starred_transform#Relation_to_Laplace_transform" title="Starred transform">Starred_transform#Relation_to_Laplace_transform</a>) on your own. Better. Not sure if your text changes are an improvement though. Not sure that I really care anymore. Perhaps others are watching who will weigh in.<br/> --<a href="/wiki/User:Bob_K" title="User:Bob K">Bob K</a> (<a class="mw-selflink-fragment" href="#top">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-Bob_K-2014-02-19T17:09:00.000Z-Your_contributions_to_Z-transform_and_Star_transform" class="ext-discussiontools-init-timestamplink">17:09, 19 February 2014 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Bob_K-2014-02-19T17:09:00.000Z-Your_contributions_to_Z-transform_and_Star_transform"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Bob_K-2014-02-19T17:09:00.000Z-Your_contributions_to_Z-transform_and_Star_transform"></span> </p> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="Instantaneous_phase" data-mw-thread-id="h-Instantaneous_phase-2014-06-17T11:35:00.000Z"><span data-mw-comment-start="" id="h-Instantaneous_phase-2014-06-17T11:35:00.000Z"></span><a href="/wiki/Instantaneous_phase" class="mw-redirect" title="Instantaneous phase">Instantaneous phase</a><span data-mw-comment-end="h-Instantaneous_phase-2014-06-17T11:35:00.000Z"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=User_talk:Bob_K&action=edit&section=16" title="Edit section: Instantaneous phase"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span><div class="ext-discussiontools-init-section-bar"><div class="ext-discussiontools-init-section-metadata"></div><div class="ext-discussiontools-init-section-actions"></div></div></div> <p><span data-mw-comment-start="" id="c-Bob_K-2014-06-17T11:35:00.000Z-Instantaneous_phase"></span>Question for you on [Instantaneous phase]]. Does it make sense to you that in the figure, the y-axis has different scale in the top vs the bottom graphs? Thanks. 22:06, 16 June 2014 (UTC) </p> <dl><dd>Since they are being compared side-by-side, one can certainly make a good case for using one scale for both. And by-the-way, phase unwrapping algorithms are not fool-proof when looking at angle-modulated signals with possible smeared 180 degree phase shifts. The approach I've used in systems since the 1970's, is to simply stack three "copies" of the wrapped phase plot vertically, and label the y-axis [-3π,3π]... works like a charm. Another good trick is to not try to "connect the dots" of the graph. Instead, vertically elongate each dot (for instance 1 pixel wide and 8 pixels high), which tends to make them look connected without having to make error-prone algorithmic decisions.</dd> <dd>--<a href="/wiki/User:Bob_K" title="User:Bob K">Bob K</a> (<a class="mw-selflink-fragment" href="#top">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-Bob_K-2014-06-17T11:35:00.000Z-Instantaneous_phase" class="ext-discussiontools-init-timestamplink">11:35, 17 June 2014 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Bob_K-2014-06-17T11:35:00.000Z-Instantaneous_phase"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Bob_K-2014-06-17T11:35:00.000Z-Instantaneous_phase"></span></dd></dl> <dl><dd><dl><dd><span data-mw-comment-start="" id="c-Jytdog-2014-06-17T11:59:00.000Z-Bob_K-2014-06-17T11:35:00.000Z"></span>Thanks for that, and for the extra advice too! <a href="/wiki/User:Jytdog" title="User:Jytdog">Jytdog</a> (<a href="/wiki/User_talk:Jytdog" title="User talk:Jytdog">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-Jytdog-2014-06-17T11:59:00.000Z-Bob_K-2014-06-17T11:35:00.000Z" class="ext-discussiontools-init-timestamplink">11:59, 17 June 2014 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Jytdog-2014-06-17T11:59:00.000Z-Bob_K-2014-06-17T11:35:00.000Z"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Jytdog-2014-06-17T11:59:00.000Z-Bob_K-2014-06-17T11:35:00.000Z"></span></dd></dl></dd></dl> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="Proposed_deletion_of_A_derivation_of_the_discrete_Fourier_transform" data-mw-thread-id="h-Proposed_deletion_of_A_derivation_of_the_discrete_Fourier_transform-2015-02-09T00:42:00.000Z"><span data-mw-comment-start="" id="h-Proposed_deletion_of_A_derivation_of_the_discrete_Fourier_transform-2015-02-09T00:42:00.000Z"></span>Proposed deletion of A derivation of the discrete Fourier transform<span data-mw-comment-end="h-Proposed_deletion_of_A_derivation_of_the_discrete_Fourier_transform-2015-02-09T00:42:00.000Z"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=User_talk:Bob_K&action=edit&section=17" title="Edit section: Proposed deletion of A derivation of the discrete Fourier transform"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span><div class="ext-discussiontools-init-section-bar"><div class="ext-discussiontools-init-section-metadata"></div><div class="ext-discussiontools-init-section-actions"></div></div></div> <span data-mw-comment-start="" id="c-David_Eppstein-2015-02-09T00:42:00.000Z-Proposed_deletion_of_A_derivation_of_the_discrete_Fourier_transform"></span><figure class="mw-halign-left" typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/en/thumb/7/74/Ambox_warning_yellow.svg/48px-Ambox_warning_yellow.svg.png" decoding="async" width="48" height="42" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/7/74/Ambox_warning_yellow.svg/72px-Ambox_warning_yellow.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/7/74/Ambox_warning_yellow.svg/96px-Ambox_warning_yellow.svg.png 2x" data-file-width="386" data-file-height="334"/></span><figcaption></figcaption></figure> <p>The article <a href="/w/index.php?title=A_derivation_of_the_discrete_Fourier_transform&action=edit&redlink=1" class="new" title="A derivation of the discrete Fourier transform (page does not exist)">A derivation of the discrete Fourier transform</a> has been <a href="/wiki/Wikipedia:Proposed_deletion" title="Wikipedia:Proposed deletion">proposed for deletion</a> because of the following concern: </p> <dl><dd><b>Unsourced alternative-pov <a href="/wiki/Wikipedia:Content_forking" class="mw-redirect" title="Wikipedia:Content forking">content fork</a> of <a href="/wiki/Discrete_Fourier_transform" title="Discrete Fourier transform">discrete Fourier transform</a>, written in an essay-like and unencyclopedic way, not suitable for merging.</b></dd></dl> <p>While all constructive contributions to Wikipedia are appreciated, content or articles may be <a href="/wiki/Wikipedia:DEL#REASON" class="mw-redirect" title="Wikipedia:DEL">deleted for any of several reasons</a>. </p><p>You may prevent the proposed deletion by removing the <span class="nowrap"><code>{{proposed deletion/dated}}</code></span> notice, but please explain why in your <a href="/wiki/Help:Edit_summary" title="Help:Edit summary">edit summary</a> or on <a href="/w/index.php?title=Talk:A_derivation_of_the_discrete_Fourier_transform&action=edit&redlink=1" class="new" title="Talk:A derivation of the discrete Fourier transform (page does not exist)">the article's talk page</a>. </p><p>Please consider improving the article to address the issues raised. Removing <span class="nowrap"><code>{{proposed deletion/dated}}</code></span> will stop the <a href="/wiki/Wikipedia:Proposed_deletion" title="Wikipedia:Proposed deletion">proposed deletion process</a>, but other <a href="/wiki/Wikipedia:Deletion_process" title="Wikipedia:Deletion process">deletion processes</a> exist. In particular, the <a href="/wiki/Wikipedia:Criteria_for_speedy_deletion" title="Wikipedia:Criteria for speedy deletion">speedy deletion</a> process can result in deletion without discussion, and <a href="/wiki/Wikipedia:Articles_for_deletion" title="Wikipedia:Articles for deletion">articles for deletion</a> allows discussion to reach <a href="/wiki/Wikipedia:Consensus" title="Wikipedia:Consensus">consensus</a> for deletion. —<a href="/wiki/User:David_Eppstein" title="User:David Eppstein">David Eppstein</a> (<a href="/wiki/User_talk:David_Eppstein" title="User talk:David Eppstein">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-David_Eppstein-2015-02-09T00:42:00.000Z-Proposed_deletion_of_A_derivation_of_the_discrete_Fourier_transform" class="ext-discussiontools-init-timestamplink">00:42, 9 February 2015 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-David_Eppstein-2015-02-09T00:42:00.000Z-Proposed_deletion_of_A_derivation_of_the_discrete_Fourier_transform"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-David_Eppstein-2015-02-09T00:42:00.000Z-Proposed_deletion_of_A_derivation_of_the_discrete_Fourier_transform"></span> </p> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="FFT_of_the_Window_functions" data-mw-thread-id="h-FFT_of_the_Window_functions-2015-06-17T14:50:00.000Z"><span data-mw-comment-start="" id="h-FFT_of_the_Window_functions-2015-06-17T14:50:00.000Z"></span>FFT of the Window functions<span data-mw-comment-end="h-FFT_of_the_Window_functions-2015-06-17T14:50:00.000Z"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=User_talk:Bob_K&action=edit&section=18" title="Edit section: FFT of the Window functions"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span><div class="ext-discussiontools-init-section-bar"><div class="ext-discussiontools-init-section-metadata"></div><div class="ext-discussiontools-init-section-actions"></div></div></div> <p><span data-mw-comment-start="" id="c-AboutFace_22-2015-06-17T14:50:00.000Z-FFT_of_the_Window_functions"></span>Hello Bob K, </p><p>I've read your posts in the section: <b>Talk:Window function</b>. I posted a question yesterday in that section under the title identical to this post. I would appreciate if you could take a look at it. Thanks much. --<a href="/wiki/User:AboutFace_22" title="User:AboutFace 22">AboutFace 22</a> (<a href="/wiki/User_talk:AboutFace_22" title="User talk:AboutFace 22">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-AboutFace_22-2015-06-17T14:50:00.000Z-FFT_of_the_Window_functions" class="ext-discussiontools-init-timestamplink">14:50, 17 June 2015 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-AboutFace_22-2015-06-17T14:50:00.000Z-FFT_of_the_Window_functions"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-AboutFace_22-2015-06-17T14:50:00.000Z-FFT_of_the_Window_functions"></span> </p><p><br/> </p> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="Decimation_(signal_processing)" data-mw-thread-id="h-Decimation_(signal_processing)-2017-08-24T08:32:00.000Z"><span id="Decimation_.28signal_processing.29"></span><span data-mw-comment-start="" id="h-Decimation_(signal_processing)-2017-08-24T08:32:00.000Z"></span>Decimation (signal processing)<span data-mw-comment-end="h-Decimation_(signal_processing)-2017-08-24T08:32:00.000Z"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=User_talk:Bob_K&action=edit&section=19" title="Edit section: Decimation (signal processing)"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span><div class="ext-discussiontools-init-section-bar"><div class="ext-discussiontools-init-section-metadata"></div><div class="ext-discussiontools-init-section-actions"></div></div></div> <p><span data-mw-comment-start="" id="c-Swadim-2017-08-24T08:32:00.000Z-Decimation_(signal_processing)"></span>Hello Bob K, please comment your deleting of my text regarding: </p><p>"In the easer case can be use the algorithm<b>:</b><sup id="cite_ref-slyusardopstr_1-0" class="reference"><a href="#cite_note-slyusardopstr-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle y[n]=\sum _{k=0}^{M-1}x[k]\ e^{-i2\pi fkT}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>y</mi> <mo stretchy="false">[</mo> <mi>n</mi> <mo stretchy="false">]</mo> <mo>=</mo> <munderover> <mo>∑</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> <mo>=</mo> <mn>0</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>M</mi> <mo>−</mo> <mn>1</mn> </mrow> </munderover> <mi>x</mi> <mo stretchy="false">[</mo> <mi>k</mi> <mo stretchy="false">]</mo> <mtext> </mtext> <msup> <mi>e</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <mi>i</mi> <mn>2</mn> <mi>π</mi> <mi>f</mi> <mi>k</mi> <mi>T</mi> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle y[n]=\sum _{k=0}^{M-1}x[k]\ e^{-i2\pi fkT}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8a25ccfc79069021499c67382606108c81c4c32e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.171ex; width:23.415ex; height:7.509ex;" alt="{\displaystyle y[n]=\sum _{k=0}^{M-1}x[k]\ e^{-i2\pi fkT}}"/></span>,</dd></dl> <p>where T is interval between samples of signal." </p><p>This Algorithm is very importent for decimation of ADC samples before digital beamforming in digital antenna arrays in radars and MIMO systems in communications. I'm sorry, but I should cancelled your deleting of this text. It's very imporetent for Wiki-readers. Thank you for your understanding. Best regards,<a href="/wiki/User:Swadim" title="User:Swadim">Swadim</a> (<a href="/wiki/User_talk:Swadim" title="User talk:Swadim">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-Swadim-2017-08-24T08:32:00.000Z-Decimation_(signal_processing)" class="ext-discussiontools-init-timestamplink">08:32, 24 August 2017 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Swadim-2017-08-24T08:32:00.000Z-Decimation_(signal_processing)"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Swadim-2017-08-24T08:32:00.000Z-Decimation_(signal_processing)"></span> </p> <dl><dd><span data-mw-comment-start="" id="c-Bob_K-2017-08-24T12:11:00.000Z-Swadim-2017-08-24T08:32:00.000Z"></span>The formula you inserted is not even a function of n. It is just <b>one</b> sample of a <a href="/wiki/Discrete_Fourier_transform" title="Discrete Fourier transform">discrete Fourier transform</a>, X(f). In the future, please discuss your ideas on <a href="/wiki/Talk:Decimation_(signal_processing)" class="mw-redirect" title="Talk:Decimation (signal processing)">the talk page</a>, before changing the article. --<a href="/wiki/User:Bob_K" title="User:Bob K">Bob K</a> (<a class="mw-selflink-fragment" href="#top">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-Bob_K-2017-08-24T12:11:00.000Z-Swadim-2017-08-24T08:32:00.000Z" class="ext-discussiontools-init-timestamplink">12:11, 24 August 2017 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Bob_K-2017-08-24T12:11:00.000Z-Swadim-2017-08-24T08:32:00.000Z"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Bob_K-2017-08-24T12:11:00.000Z-Swadim-2017-08-24T08:32:00.000Z"></span></dd></dl> <p><span data-mw-comment-start="" id="c-Swadim-2017-08-25T10:00:00.000Z-Decimation_(signal_processing)"></span>Thank you! I has some mistake on this formula. The true formula is </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle y[n]=\sum _{k=0}^{M-1}x[nM+k]\ e^{-i2\pi fkT},n=0,1,..,N}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>y</mi> <mo stretchy="false">[</mo> <mi>n</mi> <mo stretchy="false">]</mo> <mo>=</mo> <munderover> <mo>∑</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> <mo>=</mo> <mn>0</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>M</mi> <mo>−</mo> <mn>1</mn> </mrow> </munderover> <mi>x</mi> <mo stretchy="false">[</mo> <mi>n</mi> <mi>M</mi> <mo>+</mo> <mi>k</mi> <mo stretchy="false">]</mo> <mtext> </mtext> <msup> <mi>e</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <mi>i</mi> <mn>2</mn> <mi>π</mi> <mi>f</mi> <mi>k</mi> <mi>T</mi> </mrow> </msup> <mo>,</mo> <mi>n</mi> <mo>=</mo> <mn>0</mn> <mo>,</mo> <mn>1</mn> <mo>,</mo> <mo>.</mo> <mo>.</mo> <mo>,</mo> <mi>N</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle y[n]=\sum _{k=0}^{M-1}x[nM+k]\ e^{-i2\pi fkT},n=0,1,..,N}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f055b5099b8594f03b170bbacf865d7f3c42d7e1" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.171ex; width:45.178ex; height:7.509ex;" alt="{\displaystyle y[n]=\sum _{k=0}^{M-1}x[nM+k]\ e^{-i2\pi fkT},n=0,1,..,N}"/></span>. For example by <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 2\pi fkT=k\pi /2}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>2</mn> <mi>π</mi> <mi>f</mi> <mi>k</mi> <mi>T</mi> <mo>=</mo> <mi>k</mi> <mi>π</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mn>2</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 2\pi fkT=k\pi /2}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/30e52941fdb3beaaba33826dcc3157dd15cb2e3e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:14.587ex; height:2.843ex;" alt="{\displaystyle 2\pi fkT=k\pi /2}"/></span> we have</dd></dl> <p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle e^{-i2\pi fkT}=1,e^{-i\pi /2},e^{-i\pi },...}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>e</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <mi>i</mi> <mn>2</mn> <mi>π</mi> <mi>f</mi> <mi>k</mi> <mi>T</mi> </mrow> </msup> <mo>=</mo> <mn>1</mn> <mo>,</mo> <msup> <mi>e</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <mi>i</mi> <mi>π</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mn>2</mn> </mrow> </msup> <mo>,</mo> <msup> <mi>e</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <mi>i</mi> <mi>π</mi> </mrow> </msup> <mo>,</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle e^{-i2\pi fkT}=1,e^{-i\pi /2},e^{-i\pi },...}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7f7ba75c8b2cba259abc72d7bc194e95eb935f62" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:27.772ex; height:3.176ex;" alt="{\displaystyle e^{-i2\pi fkT}=1,e^{-i\pi /2},e^{-i\pi },...}"/></span> and<sup id="cite_ref-slyusardopstr_1-1" class="reference"><a href="#cite_note-slyusardopstr-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle Re(y[n])=\sum _{k=0}^{M-1}(Re(x[nM+k])cos{k\pi /2}+Im(x[nM+k])sin{k\pi /2})\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>R</mi> <mi>e</mi> <mo stretchy="false">(</mo> <mi>y</mi> <mo stretchy="false">[</mo> <mi>n</mi> <mo stretchy="false">]</mo> <mo stretchy="false">)</mo> <mo>=</mo> <munderover> <mo>∑</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> <mo>=</mo> <mn>0</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>M</mi> <mo>−</mo> <mn>1</mn> </mrow> </munderover> <mo stretchy="false">(</mo> <mi>R</mi> <mi>e</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">[</mo> <mi>n</mi> <mi>M</mi> <mo>+</mo> <mi>k</mi> <mo stretchy="false">]</mo> <mo stretchy="false">)</mo> <mi>c</mi> <mi>o</mi> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> <mi>π</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mn>2</mn> </mrow> <mo>+</mo> <mi>I</mi> <mi>m</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">[</mo> <mi>n</mi> <mi>M</mi> <mo>+</mo> <mi>k</mi> <mo stretchy="false">]</mo> <mo stretchy="false">)</mo> <mi>s</mi> <mi>i</mi> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> <mi>π</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mn>2</mn> </mrow> <mo stretchy="false">)</mo> <mspace width="thinmathspace"></mspace> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Re(y[n])=\sum _{k=0}^{M-1}(Re(x[nM+k])cos{k\pi /2}+Im(x[nM+k])sin{k\pi /2})\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0f89a9c1323caf91122774fc2e80d821fa8a39cd" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.171ex; width:67.414ex; height:7.509ex;" alt="{\displaystyle Re(y[n])=\sum _{k=0}^{M-1}(Re(x[nM+k])cos{k\pi /2}+Im(x[nM+k])sin{k\pi /2})\,}"/></span>,</dd></dl> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle Im(y[n])=\sum _{k=0}^{M-1}(Im(x[nM+k])cos{k\pi /2}-Re(x[nM+k])sin{k\pi /2})\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>I</mi> <mi>m</mi> <mo stretchy="false">(</mo> <mi>y</mi> <mo stretchy="false">[</mo> <mi>n</mi> <mo stretchy="false">]</mo> <mo stretchy="false">)</mo> <mo>=</mo> <munderover> <mo>∑</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> <mo>=</mo> <mn>0</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>M</mi> <mo>−</mo> <mn>1</mn> </mrow> </munderover> <mo stretchy="false">(</mo> <mi>I</mi> <mi>m</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">[</mo> <mi>n</mi> <mi>M</mi> <mo>+</mo> <mi>k</mi> <mo stretchy="false">]</mo> <mo stretchy="false">)</mo> <mi>c</mi> <mi>o</mi> <mi>s</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> <mi>π</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mn>2</mn> </mrow> <mo>−</mo> <mi>R</mi> <mi>e</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">[</mo> <mi>n</mi> <mi>M</mi> <mo>+</mo> <mi>k</mi> <mo stretchy="false">]</mo> <mo stretchy="false">)</mo> <mi>s</mi> <mi>i</mi> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> <mi>π</mi> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mn>2</mn> </mrow> <mo stretchy="false">)</mo> <mspace width="thinmathspace"></mspace> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Im(y[n])=\sum _{k=0}^{M-1}(Im(x[nM+k])cos{k\pi /2}-Re(x[nM+k])sin{k\pi /2})\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d29e41e563fc0a580886ec5d327d5b447a9449cb" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.171ex; width:67.779ex; height:7.509ex;" alt="{\displaystyle Im(y[n])=\sum _{k=0}^{M-1}(Im(x[nM+k])cos{k\pi /2}-Re(x[nM+k])sin{k\pi /2})\,}"/></span>.</dd></dl> <p><br/> For <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle Im(x[nM+k])=0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>I</mi> <mi>m</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">[</mo> <mi>n</mi> <mi>M</mi> <mo>+</mo> <mi>k</mi> <mo stretchy="false">]</mo> <mo stretchy="false">)</mo> <mo>=</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Im(x[nM+k])=0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b47e755b2ecbcc79d44ff8fe22e0ee7836ac8e13" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:19.794ex; height:2.843ex;" alt="{\displaystyle Im(x[nM+k])=0}"/></span> we have </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle Re(y[n])=x[nM]-x[nM+2]+x[nM+4]-...,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>R</mi> <mi>e</mi> <mo stretchy="false">(</mo> <mi>y</mi> <mo stretchy="false">[</mo> <mi>n</mi> <mo stretchy="false">]</mo> <mo stretchy="false">)</mo> <mo>=</mo> <mi>x</mi> <mo stretchy="false">[</mo> <mi>n</mi> <mi>M</mi> <mo stretchy="false">]</mo> <mo>−</mo> <mi>x</mi> <mo stretchy="false">[</mo> <mi>n</mi> <mi>M</mi> <mo>+</mo> <mn>2</mn> <mo stretchy="false">]</mo> <mo>+</mo> <mi>x</mi> <mo stretchy="false">[</mo> <mi>n</mi> <mi>M</mi> <mo>+</mo> <mn>4</mn> <mo stretchy="false">]</mo> <mo>−</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Re(y[n])=x[nM]-x[nM+2]+x[nM+4]-...,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/36b88bb8ba02bf723edf55ca0f97bda42f69bcf5" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:50.223ex; height:2.843ex;" alt="{\displaystyle Re(y[n])=x[nM]-x[nM+2]+x[nM+4]-...,}"/></span>,</dd></dl> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle Im(y[n])=-x[nM+1]+x[nM+3]-x[nM+5]-...}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>I</mi> <mi>m</mi> <mo stretchy="false">(</mo> <mi>y</mi> <mo stretchy="false">[</mo> <mi>n</mi> <mo stretchy="false">]</mo> <mo stretchy="false">)</mo> <mo>=</mo> <mo>−</mo> <mi>x</mi> <mo stretchy="false">[</mo> <mi>n</mi> <mi>M</mi> <mo>+</mo> <mn>1</mn> <mo stretchy="false">]</mo> <mo>+</mo> <mi>x</mi> <mo stretchy="false">[</mo> <mi>n</mi> <mi>M</mi> <mo>+</mo> <mn>3</mn> <mo stretchy="false">]</mo> <mo>−</mo> <mi>x</mi> <mo stretchy="false">[</mo> <mi>n</mi> <mi>M</mi> <mo>+</mo> <mn>5</mn> <mo stretchy="false">]</mo> <mo>−</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Im(y[n])=-x[nM+1]+x[nM+3]-x[nM+5]-...}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5d21c05500866ce1d63e999586bfa23d3acd81bf" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:55.365ex; height:2.843ex;" alt="{\displaystyle Im(y[n])=-x[nM+1]+x[nM+3]-x[nM+5]-...}"/></span>.</dd></dl> <p>For video signals (<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle Im(x[nM+k])=0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>I</mi> <mi>m</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">[</mo> <mi>n</mi> <mi>M</mi> <mo>+</mo> <mi>k</mi> <mo stretchy="false">]</mo> <mo stretchy="false">)</mo> <mo>=</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Im(x[nM+k])=0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b47e755b2ecbcc79d44ff8fe22e0ee7836ac8e13" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:19.794ex; height:2.843ex;" alt="{\displaystyle Im(x[nM+k])=0}"/></span> and <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle Re(x[nM+k])>=0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>R</mi> <mi>e</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">[</mo> <mi>n</mi> <mi>M</mi> <mo>+</mo> <mi>k</mi> <mo stretchy="false">]</mo> <mo stretchy="false">)</mo> <mo>>=</mo> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Re(x[nM+k])>=0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4f5de3af54d980f1cc94d3145a881796e79113ef" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:21.238ex; height:2.843ex;" alt="{\displaystyle Re(x[nM+k])>=0}"/></span>) </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle y[n]=\sum _{k=0}^{M-1}x[nM+k]\ }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>y</mi> <mo stretchy="false">[</mo> <mi>n</mi> <mo stretchy="false">]</mo> <mo>=</mo> <munderover> <mo>∑</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> <mo>=</mo> <mn>0</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>M</mi> <mo>−</mo> <mn>1</mn> </mrow> </munderover> <mi>x</mi> <mo stretchy="false">[</mo> <mi>n</mi> <mi>M</mi> <mo>+</mo> <mi>k</mi> <mo stretchy="false">]</mo> <mtext> </mtext> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle y[n]=\sum _{k=0}^{M-1}x[nM+k]\ }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d9bc4a8e7248c6495245f0a8305f83b2bf86c142" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.171ex; width:22.249ex; height:7.509ex;" alt="{\displaystyle y[n]=\sum _{k=0}^{M-1}x[nM+k]\ }"/></span>.</dd></dl> <p>It's enough for your understanding? <a href="/wiki/User:Swadim" title="User:Swadim">Swadim</a> (<a href="/wiki/User_talk:Swadim" title="User talk:Swadim">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-Swadim-2017-08-25T10:00:00.000Z-Decimation_(signal_processing)" class="ext-discussiontools-init-timestamplink">10:00, 25 August 2017 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Swadim-2017-08-25T10:00:00.000Z-Decimation_(signal_processing)"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Swadim-2017-08-25T10:00:00.000Z-Decimation_(signal_processing)"></span> </p> <style data-mw-deduplicate="TemplateStyles:r1232521257">.mw-parser-output .reflist-talk{margin:auto 0;border:1px dashed var(--border-color-base,#a2a9b1);padding:4px;padding-left:1em}.mw-parser-output .reflist-talk-title{font-weight:bold}</style><div class="reflist-talk"> <p class="reflist-talk-title">References</p> <style data-mw-deduplicate="TemplateStyles:r1239543626">.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-slyusardopstr-1"><span class="mw-cite-backlink">^ <a href="#cite_ref-slyusardopstr_1-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-slyusardopstr_1-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text">Slyusar V. I. Synthesis of algorithms for measurement of range to M sources with the use of additional gating of the ADC readings.// Radioelectronics and Communications Systems. - Vol. 39. - no. 5. - 1996. - P. 36 – 40. <a rel="nofollow" class="external autonumber" href="http://www.slyusar.kiev.ua/en/IZV_VUZ_05_96.pdf">[1]</a></span> </li> </ol></div></div> </div> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="ArbCom_Elections_2016:_Voting_now_open!" data-mw-thread-id="h-ArbCom_Elections_2016:_Voting_now_open!-2016-11-21T22:08:00.000Z"><span id="ArbCom_Elections_2016:_Voting_now_open.21"></span><span data-mw-comment-start="" id="h-ArbCom_Elections_2016:_Voting_now_open!-2016-11-21T22:08:00.000Z"></span><a href="/wiki/Wikipedia:ACE2016" class="mw-redirect" title="Wikipedia:ACE2016">ArbCom Elections 2016</a>: Voting now open!<span data-mw-comment-end="h-ArbCom_Elections_2016:_Voting_now_open!-2016-11-21T22:08:00.000Z"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=User_talk:Bob_K&action=edit&section=20" title="Edit section: ArbCom Elections 2016: Voting now open!"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span><div class="ext-discussiontools-init-section-bar"><div class="ext-discussiontools-init-section-metadata"></div><div class="ext-discussiontools-init-section-actions"></div></div></div> <span data-mw-comment-start="" id="c-MediaWiki_message_delivery-2016-11-21T22:08:00.000Z-ArbCom_Elections_2016:_Voting_now_open!"></span><style data-mw-deduplicate="TemplateStyles:r1256334245">.mw-parser-output .ivmbox{margin-bottom:1em;border:1px solid var(--border-color-base,#a2a9b1);background-color:var(--background-color-warning-subtle,#fdf2d5);padding:0.5em;display:flex;align-items:center}@media screen{html.skin-theme-clientpref-night .mw-parser-output .ivmbox[style*="background"]{background-color:var(--background-color-warning-subtle,ivory)!important;color:inherit}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .ivmbox[style*="background"]{background-color:var(--background-color-warning-subtle,ivory)!important;color:inherit}}.mw-parser-output .ivmbox-image{padding-left:1px;padding-right:0.5em;max-width:100px;flex:1 0 25px}.mw-parser-output .ivmbox-text{padding:0.5em 0}.mw-parser-output .ivmbox-text>:first-child{margin-top:0}.mw-parser-output .ivmbox-text>:last-child{margin-bottom:0}</style><div class="ivmbox" style=""> <div class="ivmbox-image" style="flex-basis: 40px"><span typeof="mw:File"><a href="/wiki/File:Scale_of_justice_2.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/0e/Scale_of_justice_2.svg/40px-Scale_of_justice_2.svg.png" decoding="async" width="40" height="41" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/0e/Scale_of_justice_2.svg/60px-Scale_of_justice_2.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/0e/Scale_of_justice_2.svg/80px-Scale_of_justice_2.svg.png 2x" data-file-width="204" data-file-height="208"/></a></span></div> <div class="ivmbox-text"> <p>Hello, Bob K. Voting in the <b><a href="/wiki/Wikipedia:ACE2016" class="mw-redirect" title="Wikipedia:ACE2016">2016 Arbitration Committee elections</a></b> is open from Monday, 00:00, 21 November through Sunday, 23:59, 4 December to all unblocked users who have registered an account before Wednesday, 00:00, 28 October 2016 and have made at least 150 mainspace edits before Sunday, 00:00, 1 November 2016. </p><p>The <a href="/wiki/Wikipedia:ARBCOM" class="mw-redirect" title="Wikipedia:ARBCOM">Arbitration Committee</a> is the panel of editors responsible for conducting the <a href="/wiki/Wikipedia:Arbitration" title="Wikipedia:Arbitration">Wikipedia arbitration process</a>. It has the authority to impose binding solutions to disputes between editors, primarily for serious conduct disputes the community has been unable to resolve. This includes the authority to impose <a href="/wiki/Wikipedia:BAN" class="mw-redirect" title="Wikipedia:BAN">site bans</a>, <a href="/wiki/Wikipedia:TBAN" class="mw-redirect" title="Wikipedia:TBAN">topic bans</a>, editing restrictions, and other measures needed to maintain our editing environment. The <a href="/wiki/Wikipedia:Arbitration/Policy" title="Wikipedia:Arbitration/Policy">arbitration policy</a> describes the Committee's roles and responsibilities in greater detail. </p><p>If you wish to participate in the 2016 election, please review <a href="/wiki/Wikipedia:Arbitration_Committee_Elections_December_2016/Candidates" title="Wikipedia:Arbitration Committee Elections December 2016/Candidates">the candidates' statements</a> and submit your choices on <b><a href="/wiki/Special:SecurePoll/vote/399" title="Special:SecurePoll/vote/399">the voting page</a></b>. <a href="/wiki/User:MediaWiki_message_delivery" title="User:MediaWiki message delivery">MediaWiki message delivery</a> (<a href="/wiki/User_talk:MediaWiki_message_delivery" title="User talk:MediaWiki message delivery">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-MediaWiki_message_delivery-2016-11-21T22:08:00.000Z-ArbCom_Elections_2016:_Voting_now_open!" class="ext-discussiontools-init-timestamplink">22:08, 21 November 2016 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-MediaWiki_message_delivery-2016-11-21T22:08:00.000Z-ArbCom_Elections_2016:_Voting_now_open!"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-MediaWiki_message_delivery-2016-11-21T22:08:00.000Z-ArbCom_Elections_2016:_Voting_now_open!"></span> </p> </div> </div> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="A_barnstar_for_you!" data-mw-thread-id="h-A_barnstar_for_you!-2016-11-27T00:59:00.000Z"><span id="A_barnstar_for_you.21"></span><span data-mw-comment-start="" id="h-A_barnstar_for_you!-2016-11-27T00:59:00.000Z"></span>A barnstar for you!<span data-mw-comment-end="h-A_barnstar_for_you!-2016-11-27T00:59:00.000Z"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=User_talk:Bob_K&action=edit&section=21" title="Edit section: A barnstar for you!"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span><div class="ext-discussiontools-init-section-bar"><div class="ext-discussiontools-init-section-metadata"></div><div class="ext-discussiontools-init-section-actions"></div></div></div> <table style="background-color: #fdffe7; border: 1px solid #fceb92;"> <tbody><tr> <td rowspan="2" style="vertical-align: middle; padding: 5px;"><span data-mw-comment-start="" id="c-Cmglee-2016-11-27T00:59:00.000Z-A_barnstar_for_you!"></span><span typeof="mw:File"><a href="/wiki/File:Editors_Barnstar_Hires.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/19/Editors_Barnstar_Hires.png/100px-Editors_Barnstar_Hires.png" decoding="async" width="100" height="95" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/19/Editors_Barnstar_Hires.png/150px-Editors_Barnstar_Hires.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/19/Editors_Barnstar_Hires.png/200px-Editors_Barnstar_Hires.png 2x" data-file-width="2000" data-file-height="1900"/></a></span> </td> <td style="font-size: x-large; padding: 3px 3px 0 3px; height: 1.5em;"><b>The Editor's Barnstar</b> </td></tr> <tr> <td style="vertical-align: middle; padding: 3px;">Thanks, Bob K, for resolving once and for all (I hope!) the four-year-old controversy about the convolution and cross-correlation graphs in <a href="/wiki/File:Comparison_convolution_correlation.svg" title="File:Comparison convolution correlation.svg">File:comparison_convolution_correlation.svg</a>. Cheers, <b><a href="/wiki/User:Cmglee" title="User:Cmglee">cmɢʟee</a></b>⎆<a href="/wiki/User_talk:Cmglee" title="User talk:Cmglee">τaʟκ</a> <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-Cmglee-2016-11-27T00:59:00.000Z-A_barnstar_for_you!" class="ext-discussiontools-init-timestamplink">00:59, 27 November 2016 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Cmglee-2016-11-27T00:59:00.000Z-A_barnstar_for_you!"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Cmglee-2016-11-27T00:59:00.000Z-A_barnstar_for_you!"></span> </td></tr></tbody></table> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="Hamming_Window_Equation" data-mw-thread-id="h-Hamming_Window_Equation-2017-09-26T14:39:00.000Z"><span data-mw-comment-start="" id="h-Hamming_Window_Equation-2017-09-26T14:39:00.000Z"></span>Hamming Window Equation<span data-mw-comment-end="h-Hamming_Window_Equation-2017-09-26T14:39:00.000Z"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=User_talk:Bob_K&action=edit&section=22" title="Edit section: Hamming Window Equation"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span><div class="ext-discussiontools-init-section-bar"><div class="ext-discussiontools-init-section-metadata"></div><div class="ext-discussiontools-init-section-actions"></div></div></div> <p><span data-mw-comment-start="" id="c-Bob_K-2017-09-26T14:39:00.000Z-Hamming_Window_Equation"></span>Bob, </p><p>"Introduction to Signal Processing", by Sophocles J. Orfanidis shows the equation for the Hamming Window like the one shown in Equation \ref{eqn:orfanidis_hamming}. However, MATLAB, and "Digital Signal Processing Using MATLAB", by Ingle and Proakis show the Hamming Window as shown in Equation \ref{eqn:ingle_hamming}. \begin{equation} </p> <pre> \label{eqn:orfanidis_hamming} w(m)=0.54+0.46cos(\frac{\pi m}{M}) </pre> <p>\end{equation} \begin{equation} </p> <pre> \label{eqn:ingle_hamming} w(m)=0.54-0.46cos(\frac{\pi m}{M}) </pre> <p>\end{equation} </p><p>If I plot both of these, only Equation \ref{eqn:ingle_hamming} appears and behaves like a Hamming Window. Have you tried plotting Equation \ref{eqn:orfanidis_hamming}? </p><p><br/> </p> <dl><dd>The Orfanidis formula is zero-phase, w<sub>0</sub>(n). The Matlab formula is w[n], as <u>clearly</u> defined in the article. The zero-phase formula will also look and behave like a Hamming window, when you are windowing data between -N/2 and N/2.</dd> <dd>--<a href="/wiki/User:Bob_K" title="User:Bob K">Bob K</a> (<a class="mw-selflink-fragment" href="#top">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-Bob_K-2017-09-26T14:39:00.000Z-Hamming_Window_Equation" class="ext-discussiontools-init-timestamplink">14:39, 26 September 2017 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Bob_K-2017-09-26T14:39:00.000Z-Hamming_Window_Equation"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Bob_K-2017-09-26T14:39:00.000Z-Hamming_Window_Equation"></span></dd></dl> <p>Thank you sincerely for the edification. I'm definitely a newly at DSP and did not recognize the condition, just that I've tried entering that equation several times in MATLAB and other tools and don't get what I need. </p> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="ArbCom_2017_election_voter_message" data-mw-thread-id="h-ArbCom_2017_election_voter_message-2017-12-03T18:42:00.000Z"><span data-mw-comment-start="" id="h-ArbCom_2017_election_voter_message-2017-12-03T18:42:00.000Z"></span>ArbCom 2017 election voter message<span data-mw-comment-end="h-ArbCom_2017_election_voter_message-2017-12-03T18:42:00.000Z"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=User_talk:Bob_K&action=edit&section=23" title="Edit section: ArbCom 2017 election voter message"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span><div class="ext-discussiontools-init-section-bar"><div class="ext-discussiontools-init-section-metadata"></div><div class="ext-discussiontools-init-section-actions"></div></div></div> <span data-mw-comment-start="" id="c-MediaWiki_message_delivery-2017-12-03T18:42:00.000Z-ArbCom_2017_election_voter_message"></span><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1256334245"><div class="ivmbox" style=""> <div class="ivmbox-image" style="flex-basis: 40px"><span typeof="mw:File"><a href="/wiki/File:Scale_of_justice_2.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/0e/Scale_of_justice_2.svg/40px-Scale_of_justice_2.svg.png" decoding="async" width="40" height="41" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/0e/Scale_of_justice_2.svg/60px-Scale_of_justice_2.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/0e/Scale_of_justice_2.svg/80px-Scale_of_justice_2.svg.png 2x" data-file-width="204" data-file-height="208"/></a></span></div> <div class="ivmbox-text"> <p>Hello, Bob K. Voting in the <b><a href="/wiki/Wikipedia:ACE2017" class="mw-redirect" title="Wikipedia:ACE2017">2017 Arbitration Committee elections</a></b> is now open until 23.59 on Sunday, 10 December. All users who registered an account before Saturday, 28 October 2017, made at least 150 mainspace edits before Wednesday, 1 November 2017 and are not currently blocked are eligible to vote. Users with alternate accounts may only vote once. </p><p>The <a href="/wiki/Wikipedia:ARBCOM" class="mw-redirect" title="Wikipedia:ARBCOM">Arbitration Committee</a> is the panel of editors responsible for conducting the <a href="/wiki/Wikipedia:Arbitration" title="Wikipedia:Arbitration">Wikipedia arbitration process</a>. It has the authority to impose binding solutions to disputes between editors, primarily for serious conduct disputes the community has been unable to resolve. This includes the authority to impose <a href="/wiki/Wikipedia:BAN" class="mw-redirect" title="Wikipedia:BAN">site bans</a>, <a href="/wiki/Wikipedia:TBAN" class="mw-redirect" title="Wikipedia:TBAN">topic bans</a>, editing restrictions, and other measures needed to maintain our editing environment. The <a href="/wiki/Wikipedia:Arbitration/Policy" title="Wikipedia:Arbitration/Policy">arbitration policy</a> describes the Committee's roles and responsibilities in greater detail. </p><p>If you wish to participate in the 2017 election, please review <a href="/wiki/Wikipedia:Arbitration_Committee_Elections_December_2017/Candidates" title="Wikipedia:Arbitration Committee Elections December 2017/Candidates">the candidates</a> and submit your choices on the <b><a href="/wiki/Special:SecurePoll/vote/400" title="Special:SecurePoll/vote/400">voting page</a></b>. <a href="/wiki/User:MediaWiki_message_delivery" title="User:MediaWiki message delivery">MediaWiki message delivery</a> (<a href="/wiki/User_talk:MediaWiki_message_delivery" title="User talk:MediaWiki message delivery">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-MediaWiki_message_delivery-2017-12-03T18:42:00.000Z-ArbCom_2017_election_voter_message" class="ext-discussiontools-init-timestamplink">18:42, 3 December 2017 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-MediaWiki_message_delivery-2017-12-03T18:42:00.000Z-ArbCom_2017_election_voter_message"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-MediaWiki_message_delivery-2017-12-03T18:42:00.000Z-ArbCom_2017_election_voter_message"></span> </p> </div> </div> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="Bandwidth_of_an_AM_signal" data-mw-thread-id="h-Bandwidth_of_an_AM_signal"><span data-mw-comment-start="" id="h-Bandwidth_of_an_AM_signal"></span>Bandwidth of an AM signal<span data-mw-comment-end="h-Bandwidth_of_an_AM_signal"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=User_talk:Bob_K&action=edit&section=24" title="Edit section: Bandwidth of an AM signal"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Bob_K, please see <a class="external free" href="https://en.wikipedia.org/wiki/Talk:Single-sideband_modulation#Bandwidth_of_an_AM_signal">https://en.wikipedia.org/wiki/Talk:Single-sideband_modulation#Bandwidth_of_an_AM_signal</a> </p> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="Expansion" data-mw-thread-id="h-Expansion-2018-11-17T16:51:00.000Z"><span data-mw-comment-start="" id="h-Expansion-2018-11-17T16:51:00.000Z"></span>Expansion<span data-mw-comment-end="h-Expansion-2018-11-17T16:51:00.000Z"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=User_talk:Bob_K&action=edit&section=25" title="Edit section: Expansion"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span><div class="ext-discussiontools-init-section-bar"><div class="ext-discussiontools-init-section-metadata"></div><div class="ext-discussiontools-init-section-actions"></div></div></div> <p><span data-mw-comment-start="" id="c-Dicklyon-2018-11-17T16:51:00.000Z-Expansion"></span>Bob, expansion is a good concept to add, but in practice upsampling is not implemented in two steps like that. I'd rewrite the lead to describe the net process instead of the steps. <a href="/wiki/User:Dicklyon" title="User:Dicklyon">Dicklyon</a> (<a href="/wiki/User_talk:Dicklyon" title="User talk:Dicklyon">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-Dicklyon-2018-11-17T16:51:00.000Z-Expansion" class="ext-discussiontools-init-timestamplink">16:51, 17 November 2018 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Dicklyon-2018-11-17T16:51:00.000Z-Expansion"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Dicklyon-2018-11-17T16:51:00.000Z-Expansion"></span> </p> <dl><dd><span data-mw-comment-start="" id="c-Bob_K-2018-11-17T22:00:00.000Z-Dicklyon-2018-11-17T16:51:00.000Z"></span>Hi Dick. I think we're covered, because the very next paragraph begins with "Rate increase by an integer factor L can be explained as a 2-step process, with an equivalent implementation that is more efficient:"</dd></dl> <dl><dd>I recall at the time we were writing the lede, it seemed very likely that people would come to Upsampling expecting to read about Expansion. So it seemed important to be clear about the terminology right up front. Anyhow, feel free to take your own suggestion. I'm sure you'll do a great job.</dd></dl> <dl><dd>--<a href="/wiki/User:Bob_K" title="User:Bob K">Bob K</a> (<a class="mw-selflink-fragment" href="#top">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-Bob_K-2018-11-17T22:00:00.000Z-Dicklyon-2018-11-17T16:51:00.000Z" class="ext-discussiontools-init-timestamplink">22:00, 17 November 2018 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Bob_K-2018-11-17T22:00:00.000Z-Dicklyon-2018-11-17T16:51:00.000Z"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Bob_K-2018-11-17T22:00:00.000Z-Dicklyon-2018-11-17T16:51:00.000Z"></span></dd></dl> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="ArbCom_2018_election_voter_message" data-mw-thread-id="h-ArbCom_2018_election_voter_message-2018-11-19T18:42:00.000Z"><span data-mw-comment-start="" id="h-ArbCom_2018_election_voter_message-2018-11-19T18:42:00.000Z"></span>ArbCom 2018 election voter message<span data-mw-comment-end="h-ArbCom_2018_election_voter_message-2018-11-19T18:42:00.000Z"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=User_talk:Bob_K&action=edit&section=26" title="Edit section: ArbCom 2018 election voter message"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span><div class="ext-discussiontools-init-section-bar"><div class="ext-discussiontools-init-section-metadata"></div><div class="ext-discussiontools-init-section-actions"></div></div></div> <span data-mw-comment-start="" id="c-MediaWiki_message_delivery-2018-11-19T18:42:00.000Z-ArbCom_2018_election_voter_message"></span><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1256334245"><div class="ivmbox" style=""> <div class="ivmbox-image" style="flex-basis: 40px"><span typeof="mw:File"><a href="/wiki/File:Scale_of_justice_2.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/0e/Scale_of_justice_2.svg/40px-Scale_of_justice_2.svg.png" decoding="async" width="40" height="41" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/0e/Scale_of_justice_2.svg/60px-Scale_of_justice_2.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/0e/Scale_of_justice_2.svg/80px-Scale_of_justice_2.svg.png 2x" data-file-width="204" data-file-height="208"/></a></span></div> <div class="ivmbox-text"> <p>Hello, Bob K. Voting in the <b><a href="/wiki/Wikipedia:ACE2018" class="mw-redirect" title="Wikipedia:ACE2018">2018 Arbitration Committee elections</a></b> is now open until 23.59 on Sunday, 3 December. All users who registered an account before Sunday, 28 October 2018, made at least 150 mainspace edits before Thursday, 1 November 2018 and are not currently blocked are eligible to vote. Users with alternate accounts may only vote once. </p><p>The <a href="/wiki/Wikipedia:ARBCOM" class="mw-redirect" title="Wikipedia:ARBCOM">Arbitration Committee</a> is the panel of editors responsible for conducting the <a href="/wiki/Wikipedia:Arbitration" title="Wikipedia:Arbitration">Wikipedia arbitration process</a>. It has the authority to impose binding solutions to disputes between editors, primarily for serious conduct disputes the community has been unable to resolve. This includes the authority to impose <a href="/wiki/Wikipedia:BAN" class="mw-redirect" title="Wikipedia:BAN">site bans</a>, <a href="/wiki/Wikipedia:TBAN" class="mw-redirect" title="Wikipedia:TBAN">topic bans</a>, editing restrictions, and other measures needed to maintain our editing environment. The <a href="/wiki/Wikipedia:Arbitration/Policy" title="Wikipedia:Arbitration/Policy">arbitration policy</a> describes the Committee's roles and responsibilities in greater detail. </p><p>If you wish to participate in the 2018 election, please review <a href="/wiki/Wikipedia:Arbitration_Committee_Elections_December_2018/Candidates" title="Wikipedia:Arbitration Committee Elections December 2018/Candidates">the candidates</a> and submit your choices on the <b><a href="/wiki/Special:SecurePoll/vote/710" title="Special:SecurePoll/vote/710">voting page</a></b>. <a href="/wiki/User:MediaWiki_message_delivery" title="User:MediaWiki message delivery">MediaWiki message delivery</a> (<a href="/wiki/User_talk:MediaWiki_message_delivery" title="User talk:MediaWiki message delivery">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-MediaWiki_message_delivery-2018-11-19T18:42:00.000Z-ArbCom_2018_election_voter_message" class="ext-discussiontools-init-timestamplink">18:42, 19 November 2018 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-MediaWiki_message_delivery-2018-11-19T18:42:00.000Z-ArbCom_2018_election_voter_message"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-MediaWiki_message_delivery-2018-11-19T18:42:00.000Z-ArbCom_2018_election_voter_message"></span> </p> </div> </div> <p><br/> </p> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="Disambiguation_link_notification_for_February_22" data-mw-thread-id="h-Disambiguation_link_notification_for_February_22-2019-02-22T09:08:00.000Z"><span data-mw-comment-start="" id="h-Disambiguation_link_notification_for_February_22-2019-02-22T09:08:00.000Z"></span>Disambiguation link notification for February 22<span data-mw-comment-end="h-Disambiguation_link_notification_for_February_22-2019-02-22T09:08:00.000Z"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=User_talk:Bob_K&action=edit&section=27" title="Edit section: Disambiguation link notification for February 22"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span><div class="ext-discussiontools-init-section-bar"><div class="ext-discussiontools-init-section-metadata"></div><div class="ext-discussiontools-init-section-actions"></div></div></div> <p><span data-mw-comment-start="" id="c-DPL_bot-2019-02-22T09:08:00.000Z-Disambiguation_link_notification_for_February_22"></span>Hi. Thank you for your recent edits. An automated process has detected that when you recently edited <a href="/wiki/Window_function" title="Window function">Window function</a>, you added a link pointing to the disambiguation page <a href="/wiki/Finite_Fourier_transform" title="Finite Fourier transform">Finite Fourier transform</a> (<a rel="nofollow" class="external text" href="//dispenser.info.tm/~dispenser/cgi-bin/dablinks.py/Window_function">check to confirm</a> | <a rel="nofollow" class="external text" href="//dispenser.info.tm/~dispenser/cgi-bin/dab_solver.py/Window_function?client=notify">fix with Dab solver</a>). Such links are <a href="/wiki/Wikipedia:INTDABLINK" class="mw-redirect" title="Wikipedia:INTDABLINK">usually incorrect</a>, since a disambiguation page is merely a list of unrelated topics with similar titles. <small>(Read the <a href="/wiki/User:DPL_bot/Dablink_notification_FAQ" title="User:DPL bot/Dablink notification FAQ">FAQ</a> • Join us at the <a href="/wiki/Wikipedia:Disambiguation_pages_with_links" title="Wikipedia:Disambiguation pages with links">DPL WikiProject</a>.)</small> </p><p>It's OK to remove this message. Also, to stop receiving these messages, follow these <a href="/wiki/User:DPL_bot" title="User:DPL bot">opt-out instructions</a>. Thanks, <a href="/wiki/User:DPL_bot" title="User:DPL bot">DPL bot</a> (<a href="/wiki/User_talk:DPL_bot" title="User talk:DPL bot">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-DPL_bot-2019-02-22T09:08:00.000Z-Disambiguation_link_notification_for_February_22" class="ext-discussiontools-init-timestamplink">09:08, 22 February 2019 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-DPL_bot-2019-02-22T09:08:00.000Z-Disambiguation_link_notification_for_February_22"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-DPL_bot-2019-02-22T09:08:00.000Z-Disambiguation_link_notification_for_February_22"></span> </p> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="Fourier_Transform_time_shifting_animation" data-mw-thread-id="h-Fourier_Transform_time_shifting_animation-2019-02-24T09:10:00.000Z"><span data-mw-comment-start="" id="h-Fourier_Transform_time_shifting_animation-2019-02-24T09:10:00.000Z"></span>Fourier Transform time shifting animation<span data-mw-comment-end="h-Fourier_Transform_time_shifting_animation-2019-02-24T09:10:00.000Z"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=User_talk:Bob_K&action=edit&section=28" title="Edit section: Fourier Transform time shifting animation"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span><div class="ext-discussiontools-init-section-bar"><div class="ext-discussiontools-init-section-metadata"></div><div class="ext-discussiontools-init-section-actions"></div></div></div> <p><span data-mw-comment-start="" id="c-Davidjessop-2019-02-24T09:10:00.000Z-Fourier_Transform_time_shifting_animation"></span>Hi Bob, </p><p>I've noticed you undid my contribution of the animation on the wikipeida page witht the comment "I am familiar with the subject, but can't make sense out of the gif. Sorry. Looks like you put a lot of effort into it!" </p><p>I have to say that someone else may find the animaion helpful, I suggest adding a discussion on the talk page about it and see if a general concensous can be reached in regards to it. </p><p>For now i've added it back in and started the topic on the talk page </p><p><a href="/w/index.php?title=User:Davidjessop&action=edit&redlink=1" class="new" title="User:Davidjessop (page does not exist)">Davidjessop</a> (<a href="/wiki/User_talk:Davidjessop" class="mw-redirect" title="User talk:Davidjessop">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-Davidjessop-2019-02-24T09:10:00.000Z-Fourier_Transform_time_shifting_animation" class="ext-discussiontools-init-timestamplink">09:10, 24 February 2019 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Davidjessop-2019-02-24T09:10:00.000Z-Fourier_Transform_time_shifting_animation"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Davidjessop-2019-02-24T09:10:00.000Z-Fourier_Transform_time_shifting_animation"></span> </p> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="Community_Insights_Survey" data-mw-thread-id="h-Community_Insights_Survey-2019-09-06T16:01:00.000Z"><span data-mw-comment-start="" id="h-Community_Insights_Survey-2019-09-06T16:01:00.000Z"></span>Community Insights Survey<span data-mw-comment-end="h-Community_Insights_Survey-2019-09-06T16:01:00.000Z"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=User_talk:Bob_K&action=edit&section=29" title="Edit section: Community Insights Survey"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span><div class="ext-discussiontools-init-section-bar"><div class="ext-discussiontools-init-section-metadata"></div><div class="ext-discussiontools-init-section-actions"></div></div></div> <div class="plainlinks mw-content-ltr" lang="en" dir="ltr"> <p><b><span data-mw-comment-start="" id="c-RMaung_(WMF)-2019-09-06T16:01:00.000Z-Community_Insights_Survey"></span>Share your experience in this survey</b> </p><p>Hi Bob K, </p><p>The Wikimedia Foundation is asking for your feedback in a survey about your experience with Wikipedia and Wikimedia. The purpose of this survey is to learn how well the Foundation is supporting your work on wiki and how we can change or improve things in the future. The opinions you share will directly affect the current and future work of the Wikimedia Foundation. </p><p>Please take 15 to 25 minutes to <b><a rel="nofollow" class="external text" href="https://wikimedia.qualtrics.com/jfe/form/SV_0pSrrkJAKVRXPpj?Target=CI2019List(enwiki,act4)">give your feedback through this survey</a></b>. It is available in various languages. </p><p>This survey is hosted by a third-party and <a class="external text" href="https://foundation.wikimedia.org/wiki/Community_Insights_2019_Survey_Privacy_Statement">governed by this privacy statement</a> (in English). </p><p>Find <a href="https://meta.wikimedia.org/wiki/Community_Insights/Frequent_questions" class="extiw" title="m:Community Insights/Frequent questions">more information about this project</a>. <a rel="nofollow" class="external text" href="mailto:surveys@wikimedia.org">Email us</a> if you have any questions, or if you don't want to receive future messages about taking this survey. </p><p>Sincerely, </p> </div> <p><a href="/wiki/User:RMaung_(WMF)" title="User:RMaung (WMF)">RMaung (WMF)</a> <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-RMaung_(WMF)-2019-09-06T16:01:00.000Z-Community_Insights_Survey" class="ext-discussiontools-init-timestamplink">16:01, 6 September 2019 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-RMaung_(WMF)-2019-09-06T16:01:00.000Z-Community_Insights_Survey"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-RMaung_(WMF)-2019-09-06T16:01:00.000Z-Community_Insights_Survey"></span> </p><div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="Reminder:_Community_Insights_Survey" data-mw-thread-id="h-Reminder:_Community_Insights_Survey-2019-09-20T15:38:00.000Z"><span data-mw-comment-start="" id="h-Reminder:_Community_Insights_Survey-2019-09-20T15:38:00.000Z"></span>Reminder: Community Insights Survey<span data-mw-comment-end="h-Reminder:_Community_Insights_Survey-2019-09-20T15:38:00.000Z"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=User_talk:Bob_K&action=edit&section=30" title="Edit section: Reminder: Community Insights Survey"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span><div class="ext-discussiontools-init-section-bar"><div class="ext-discussiontools-init-section-metadata"></div><div class="ext-discussiontools-init-section-actions"></div></div></div> <div class="plainlinks mw-content-ltr" lang="en" dir="ltr"> <p><b><span data-mw-comment-start="" id="c-RMaung_(WMF)-2019-09-20T15:38:00.000Z-Reminder:_Community_Insights_Survey"></span>Share your experience in this survey</b> </p><p>Hi Bob K, </p><p>A couple of weeks ago, we invited you to take the Community Insights Survey. It is the Wikimedia Foundation’s annual survey of our global communities. We want to learn how well we support your work on wiki. We are 10% towards our goal for participation. If you have not already taken the survey, you can help us reach our goal! <b>Your voice matters to us.</b> </p><p>Please take 15 to 25 minutes to <b><a rel="nofollow" class="external text" href="https://wikimedia.qualtrics.com/jfe/form/SV_0pSrrkJAKVRXPpj?Target=CI2019List(enwiki,act4)">give your feedback through this survey</a></b>. It is available in various languages. </p><p>This survey is hosted by a third-party and <a class="external text" href="https://foundation.wikimedia.org/wiki/Community_Insights_2019_Survey_Privacy_Statement">governed by this privacy statement</a> (in English). </p><p>Find <a href="https://meta.wikimedia.org/wiki/Community_Insights/Frequent_questions" class="extiw" title="m:Community Insights/Frequent questions">more information about this project</a>. <a rel="nofollow" class="external text" href="mailto:surveys@wikimedia.org">Email us</a> if you have any questions, or if you don't want to receive future messages about taking this survey. </p><p>Sincerely, </p> </div> <p><a href="/wiki/User:RMaung_(WMF)" title="User:RMaung (WMF)">RMaung (WMF)</a> <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-RMaung_(WMF)-2019-09-20T15:38:00.000Z-Reminder:_Community_Insights_Survey" class="ext-discussiontools-init-timestamplink">15:38, 20 September 2019 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-RMaung_(WMF)-2019-09-20T15:38:00.000Z-Reminder:_Community_Insights_Survey"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-RMaung_(WMF)-2019-09-20T15:38:00.000Z-Reminder:_Community_Insights_Survey"></span> </p><div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="Reminder:_Community_Insights_Survey_2" data-mw-thread-id="h-Reminder:_Community_Insights_Survey_2-2019-10-03T20:39:00.000Z"><span data-mw-comment-start="" id="h-Reminder:_Community_Insights_Survey_2-2019-10-03T20:39:00.000Z"></span>Reminder: Community Insights Survey<span data-mw-comment-end="h-Reminder:_Community_Insights_Survey_2-2019-10-03T20:39:00.000Z"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=User_talk:Bob_K&action=edit&section=31" title="Edit section: Reminder: Community Insights Survey"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span><div class="ext-discussiontools-init-section-bar"><div class="ext-discussiontools-init-section-metadata"></div><div class="ext-discussiontools-init-section-actions"></div></div></div> <div class="plainlinks mw-content-ltr" lang="en" dir="ltr"> <p><b><span data-mw-comment-start="" id="c-RMaung_(WMF)-2019-10-03T20:39:00.000Z-Reminder:_Community_Insights_Survey_2"></span>Share your experience in this survey</b> </p><p>Hi Bob K, </p><p>There are only a few weeks left to take the Community Insights Survey! We are 30% towards our goal for participation. If you have not already taken the survey, you can help us reach our goal! With this poll, the Wikimedia Foundation gathers feedback on how well we support your work on wiki. It only takes 15-25 minutes to complete, and it has a direct impact on the support we provide. </p><p>Please take 15 to 25 minutes to <b><a rel="nofollow" class="external text" href="https://wikimedia.qualtrics.com/jfe/form/SV_0pSrrkJAKVRXPpj?Target=CI2019List(enwiki,act4)">give your feedback through this survey</a></b>. It is available in various languages. </p><p>This survey is hosted by a third-party and <a class="external text" href="https://foundation.wikimedia.org/wiki/Community_Insights_2019_Survey_Privacy_Statement">governed by this privacy statement</a> (in English). </p><p>Find <a href="https://meta.wikimedia.org/wiki/Community_Insights/Frequent_questions" class="extiw" title="m:Community Insights/Frequent questions">more information about this project</a>. <a rel="nofollow" class="external text" href="mailto:surveys@wikimedia.org">Email us</a> if you have any questions, or if you don't want to receive future messages about taking this survey. </p><p>Sincerely, </p> </div> <p><a href="/wiki/User:RMaung_(WMF)" title="User:RMaung (WMF)">RMaung (WMF)</a> <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-RMaung_(WMF)-2019-10-03T20:39:00.000Z-Reminder:_Community_Insights_Survey_2" class="ext-discussiontools-init-timestamplink">20:39, 3 October 2019 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-RMaung_(WMF)-2019-10-03T20:39:00.000Z-Reminder:_Community_Insights_Survey_2"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-RMaung_(WMF)-2019-10-03T20:39:00.000Z-Reminder:_Community_Insights_Survey_2"></span> </p><div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="ArbCom_2019_election_voter_message" data-mw-thread-id="h-ArbCom_2019_election_voter_message-2019-11-19T00:05:00.000Z"><span data-mw-comment-start="" id="h-ArbCom_2019_election_voter_message-2019-11-19T00:05:00.000Z"></span>ArbCom 2019 election voter message<span data-mw-comment-end="h-ArbCom_2019_election_voter_message-2019-11-19T00:05:00.000Z"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=User_talk:Bob_K&action=edit&section=32" title="Edit section: ArbCom 2019 election voter message"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span><div class="ext-discussiontools-init-section-bar"><div class="ext-discussiontools-init-section-metadata"></div><div class="ext-discussiontools-init-section-actions"></div></div></div> <table class="messagebox" style="border: 1px solid #AAA; background: ivory; padding: 0.5em; width: 100%;"> <tbody><tr><td style="vertical-align:middle; padding-left:1px; padding-right:0.5em;"><span data-mw-comment-start="" id="c-MediaWiki_message_delivery-2019-11-19T00:05:00.000Z-ArbCom_2019_election_voter_message"></span><span typeof="mw:File"><a href="/wiki/File:Scale_of_justice_2.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/0e/Scale_of_justice_2.svg/40px-Scale_of_justice_2.svg.png" decoding="async" width="40" height="41" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/0e/Scale_of_justice_2.svg/60px-Scale_of_justice_2.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/0e/Scale_of_justice_2.svg/80px-Scale_of_justice_2.svg.png 2x" data-file-width="204" data-file-height="208"/></a></span></td><td>Hello! Voting in the <b><a href="/wiki/Wikipedia:ACE2019" class="mw-redirect" title="Wikipedia:ACE2019">2019 Arbitration Committee elections</a></b> is now open until 23:59 on Monday, 2 December 2019. All <b><a href="/wiki/Wikipedia:Arbitration_Committee_Elections_December_2019#Election_timeline" title="Wikipedia:Arbitration Committee Elections December 2019">eligible users</a></b> are allowed to vote. Users with alternate accounts may only vote once. <p>The <a href="/wiki/Wikipedia:ARBCOM" class="mw-redirect" title="Wikipedia:ARBCOM">Arbitration Committee</a> is the panel of editors responsible for conducting the <a href="/wiki/Wikipedia:Arbitration" title="Wikipedia:Arbitration">Wikipedia arbitration process</a>. It has the authority to impose binding solutions to disputes between editors, primarily for serious conduct disputes the community has been unable to resolve. This includes the authority to impose <a href="/wiki/Wikipedia:BAN" class="mw-redirect" title="Wikipedia:BAN">site bans</a>, <a href="/wiki/Wikipedia:TBAN" class="mw-redirect" title="Wikipedia:TBAN">topic bans</a>, editing restrictions, and other measures needed to maintain our editing environment. The <a href="/wiki/Wikipedia:Arbitration/Policy" title="Wikipedia:Arbitration/Policy">arbitration policy</a> describes the Committee's roles and responsibilities in greater detail. </p><p>If you wish to participate in the 2019 election, please review <a href="/wiki/Wikipedia:Arbitration_Committee_Elections_December_2019/Candidates" title="Wikipedia:Arbitration Committee Elections December 2019/Candidates">the candidates</a> and submit your choices on the <b><a href="/wiki/Special:SecurePoll/vote/751" title="Special:SecurePoll/vote/751">voting page</a></b>. If you no longer wish to receive these messages, you may add <code>{{<a href="/wiki/Template:NoACEMM" class="mw-redirect" title="Template:NoACEMM">NoACEMM</a>}}</code> to your user talk page. <a href="/wiki/User:MediaWiki_message_delivery" title="User:MediaWiki message delivery">MediaWiki message delivery</a> (<a href="/wiki/User_talk:MediaWiki_message_delivery" title="User talk:MediaWiki message delivery">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-MediaWiki_message_delivery-2019-11-19T00:05:00.000Z-ArbCom_2019_election_voter_message" class="ext-discussiontools-init-timestamplink">00:05, 19 November 2019 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-MediaWiki_message_delivery-2019-11-19T00:05:00.000Z-ArbCom_2019_election_voter_message"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-MediaWiki_message_delivery-2019-11-19T00:05:00.000Z-ArbCom_2019_election_voter_message"></span> </p> </td></tr> </tbody></table> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="Google_Code-In_2019_is_coming_-_please_mentor_some_documentation_tasks!" data-mw-thread-id="h-Google_Code-In_2019_is_coming_-_please_mentor_some_documentation_tasks!-2019-11-23T21:59:00.000Z"><span id="Google_Code-In_2019_is_coming_-_please_mentor_some_documentation_tasks.21"></span><span data-mw-comment-start="" id="h-Google_Code-In_2019_is_coming_-_please_mentor_some_documentation_tasks!-2019-11-23T21:59:00.000Z"></span>Google Code-In 2019 is coming - please mentor some documentation tasks!<span data-mw-comment-end="h-Google_Code-In_2019_is_coming_-_please_mentor_some_documentation_tasks!-2019-11-23T21:59:00.000Z"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=User_talk:Bob_K&action=edit&section=33" title="Edit section: Google Code-In 2019 is coming - please mentor some documentation tasks!"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span><div class="ext-discussiontools-init-section-bar"><div class="ext-discussiontools-init-section-metadata"></div><div class="ext-discussiontools-init-section-actions"></div></div></div> <p><span data-mw-comment-start="" id="c-Martin_Urbanec-2019-11-23T21:59:00.000Z-Google_Code-In_2019_is_coming_-_please_mentor_some_documentation_tasks!"></span>Hello, </p><p><a href="https://www.mediawiki.org/wiki/Google_Code-in/2019" class="extiw" title="mw:Google Code-in/2019">Google Code-In</a>, Google-organized contest in which the Wikimedia Foundation participates, starts in a few weeks. This contest is about taking high school students into the world of opensource. I'm sending you this message because you recently edited a documentation page at the English Wikipedia. </p><p>I would like to ask you to take part in Google Code-In as a mentor. That would mean to prepare at least one task (it can be documentation related, or something else - the other categories are Code, Design, Quality Assurance and Outreach) for the participants, and help the student to complete it. Please sign up at <a href="https://www.mediawiki.org/wiki/Google_Code-in/2019" class="extiw" title="mw:Google Code-in/2019">the contest page</a> and send us your Google account address to google-code-in-admins@lists.wikimedia.org, so we can invite you in! </p><p>From my own experience, Google Code-In can be fun, you can make several new friends, attract new people to your wiki and make them part of your community. </p><p>If you have any questions, please let us know at google-code-in-admins@lists.wikimedia.org. </p><p>Thank you! </p><p>--<a href="/wiki/User:Martin_Urbanec" title="User:Martin Urbanec">User:Martin Urbanec</a> (<a href="/wiki/User_talk:Martin_Urbanec" title="User talk:Martin Urbanec">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-Martin_Urbanec-2019-11-23T21:59:00.000Z-Google_Code-In_2019_is_coming_-_please_mentor_some_documentation_tasks!" class="ext-discussiontools-init-timestamplink">21:59, 23 November 2019 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Martin_Urbanec-2019-11-23T21:59:00.000Z-Google_Code-In_2019_is_coming_-_please_mentor_some_documentation_tasks!"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Martin_Urbanec-2019-11-23T21:59:00.000Z-Google_Code-In_2019_is_coming_-_please_mentor_some_documentation_tasks!"></span> </p> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="Congrats!" data-mw-thread-id="h-Congrats!-2020-05-06T14:42:00.000Z"><span id="Congrats.21"></span><span data-mw-comment-start="" id="h-Congrats!-2020-05-06T14:42:00.000Z"></span>Congrats!<span data-mw-comment-end="h-Congrats!-2020-05-06T14:42:00.000Z"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=User_talk:Bob_K&action=edit&section=34" title="Edit section: Congrats!"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span><div class="ext-discussiontools-init-section-bar"><div class="ext-discussiontools-init-section-metadata"></div><div class="ext-discussiontools-init-section-actions"></div></div></div> <p><span data-mw-comment-start="" id="c-Paulmlieberman-2020-05-06T14:42:00.000Z-Congrats!"></span>Hi, Bob. Congratulations on the Yankee Dutch Crossing article! You should tell Gaye. I'll bet she'll be delighted. I assume you are Bob Kettig, and that you contra dance at Glen Echo. We haven't really met, but we've seen each other on the dance floor. BTW, I recently moved all the external links in the contra article. They need to be cleaned up and, especially, pruned. Maybe we could collaborate on that. Paulmlieberman (<a href="/wiki/User_talk:Paulmlieberman#top" title="User talk:Paulmlieberman">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-Paulmlieberman-2020-05-06T14:42:00.000Z-Congrats!" class="ext-discussiontools-init-timestamplink">14:42, 6 May 2020 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Paulmlieberman-2020-05-06T14:42:00.000Z-Congrats!"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Paulmlieberman-2020-05-06T14:42:00.000Z-Congrats!"></span> </p> <dl><dd><span data-mw-comment-start="" id="c-Bob_K-2020-05-06T22:02:00.000Z-Paulmlieberman-2020-05-06T14:42:00.000Z"></span>Thanks Paul, and yes I am Kettig, and I know you too. My suggestion for what to do next is move the band links to the External links section.</dd> <dd>--<a href="/wiki/User:Bob_K" title="User:Bob K">Bob K</a> (<a class="mw-selflink-fragment" href="#top">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-Bob_K-2020-05-06T22:02:00.000Z-Paulmlieberman-2020-05-06T14:42:00.000Z" class="ext-discussiontools-init-timestamplink">22:02, 6 May 2020 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Bob_K-2020-05-06T22:02:00.000Z-Paulmlieberman-2020-05-06T14:42:00.000Z"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Bob_K-2020-05-06T22:02:00.000Z-Paulmlieberman-2020-05-06T14:42:00.000Z"></span></dd></dl> <dl><dd><dl><dd><span data-mw-comment-start="" id="c-Sdkb-2020-05-09T00:51:00.000Z-Bob_K-2020-05-06T22:02:00.000Z"></span>Congrats, <a href="/wiki/User:Bob_K" title="User:Bob K">Bob K</a>! <span class="template-ping">@<a href="/wiki/User:Paulmlieberman" title="User:Paulmlieberman">Paulmlieberman</a>:</span> it looks like everything is good here, but do please be careful not to accidentally out anyone (<a href="/wiki/Wikipedia:OUTING" class="mw-redirect" title="Wikipedia:OUTING">WP:OUTING</a>) — people prefer varying degrees of anonymity on Wikipedia, and for privacy it's best to assume they may not want to disclose more than they have on their user page. Off-wiki communications are fine, though; we need all the social connection we can get during this time <abbr title="Smiling face" style="border-bottom: none;"><span typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/79/Face-smile.svg/18px-Face-smile.svg.png" decoding="async" width="18" height="18" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/79/Face-smile.svg/27px-Face-smile.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/79/Face-smile.svg/36px-Face-smile.svg.png 2x" data-file-width="48" data-file-height="48"/></span></span></abbr>. Cheers, <span style="color:#AAA"><small>{{u|</small><span style="border-radius:9em;padding:0 5px;background:#088"><a href="/wiki/User:Sdkb" title="User:Sdkb"><span style="color:#FFF"><b>Sdkb</b></span></a></span><small>}}</small></span> <sup><a href="/wiki/User_talk:Sdkb" title="User talk:Sdkb"><b>talk</b></a></sup> <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-Sdkb-2020-05-09T00:51:00.000Z-Bob_K-2020-05-06T22:02:00.000Z" class="ext-discussiontools-init-timestamplink">00:51, 9 May 2020 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Sdkb-2020-05-09T00:51:00.000Z-Bob_K-2020-05-06T22:02:00.000Z"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Sdkb-2020-05-09T00:51:00.000Z-Bob_K-2020-05-06T22:02:00.000Z"></span></dd></dl></dd></dl> <dl><dd><dl><dd><dl><dd><span data-mw-comment-start="" id="c-Bob_K-2020-05-09T01:24:00.000Z-Sdkb-2020-05-09T00:51:00.000Z"></span>Actually, you are the one who has mentioned both my surname and a heretofore unmentioned first name (Gaye). Have I mentioned any names that give rise to your concern? --<a href="/wiki/User:Bob_K" title="User:Bob K">Bob K</a> (<a class="mw-selflink-fragment" href="#top">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-Bob_K-2020-05-09T01:24:00.000Z-Sdkb-2020-05-09T00:51:00.000Z" class="ext-discussiontools-init-timestamplink">01:24, 9 May 2020 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Bob_K-2020-05-09T01:24:00.000Z-Sdkb-2020-05-09T00:51:00.000Z"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Bob_K-2020-05-09T01:24:00.000Z-Sdkb-2020-05-09T00:51:00.000Z"></span></dd></dl></dd></dl></dd></dl> <dl><dd><dl><dd><dl><dd><dl><dd><span class="template-ping"><span data-mw-comment-start="" id="c-Sdkb-2020-05-09T01:30:00.000Z-Bob_K-2020-05-09T01:24:00.000Z"></span>@<a href="/wiki/User:Bob_K" title="User:Bob K">Bob K</a>:</span> I was addressing Paulmlieberman there (I'm a different user than him, although also a dancer!). I wish talk pages were better formatted to make it easier to tell everyone apart haha. Cheers, <span style="color:#AAA"><small>{{u|</small><span style="border-radius:9em;padding:0 5px;background:#088"><a href="/wiki/User:Sdkb" title="User:Sdkb"><span style="color:#FFF"><b>Sdkb</b></span></a></span><small>}}</small></span> <sup><a href="/wiki/User_talk:Sdkb" title="User talk:Sdkb"><b>talk</b></a></sup> <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-Sdkb-2020-05-09T01:30:00.000Z-Bob_K-2020-05-09T01:24:00.000Z" class="ext-discussiontools-init-timestamplink">01:30, 9 May 2020 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Sdkb-2020-05-09T01:30:00.000Z-Bob_K-2020-05-09T01:24:00.000Z"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Sdkb-2020-05-09T01:30:00.000Z-Bob_K-2020-05-09T01:24:00.000Z"></span></dd></dl></dd></dl></dd></dl></dd></dl> <dl><dd><dl><dd><dl><dd><span data-mw-comment-start="" id="c-Bob_K-2020-05-09T01:43:00.000Z-Sdkb-2020-05-09T00:51:00.000Z"></span>Doh! Thanks for clearing that up. Now of course, it's obvious. Your sig just did not "compute", and I just disregarded it. --<a href="/wiki/User:Bob_K" title="User:Bob K">Bob K</a> (<a class="mw-selflink-fragment" href="#top">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-Bob_K-2020-05-09T01:43:00.000Z-Sdkb-2020-05-09T00:51:00.000Z" class="ext-discussiontools-init-timestamplink">01:43, 9 May 2020 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Bob_K-2020-05-09T01:43:00.000Z-Sdkb-2020-05-09T00:51:00.000Z"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Bob_K-2020-05-09T01:43:00.000Z-Sdkb-2020-05-09T00:51:00.000Z"></span></dd></dl></dd></dl></dd></dl> <dl><dd><span data-mw-comment-start="" id="c-Bob_K-2020-05-08T22:46:00.000Z-Paulmlieberman-2020-05-06T14:42:00.000Z"></span>BTW, I have also authored a <a href="/wiki/Salty_Dog_Rag" title="Salty Dog Rag">Salty Dog Rag</a> article... just trying to stay relevant, during the pandemic.</dd> <dd>--<a href="/wiki/User:Bob_K" title="User:Bob K">Bob K</a> (<a class="mw-selflink-fragment" href="#top">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-Bob_K-2020-05-08T22:46:00.000Z-Paulmlieberman-2020-05-06T14:42:00.000Z" class="ext-discussiontools-init-timestamplink">22:46, 8 May 2020 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Bob_K-2020-05-08T22:46:00.000Z-Paulmlieberman-2020-05-06T14:42:00.000Z"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Bob_K-2020-05-08T22:46:00.000Z-Paulmlieberman-2020-05-06T14:42:00.000Z"></span></dd></dl> <p><span data-mw-comment-start="" id="c-Paulmlieberman-2020-05-09T02:01:00.000Z-Congrats!"></span>Thanks guys! My apologies for naming names here. If I ever feel the urge again, I'll do it on FB. God, I miss contra! Paulmlieberman (<a href="/wiki/User_talk:Paulmlieberman#top" title="User talk:Paulmlieberman">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-Paulmlieberman-2020-05-09T02:01:00.000Z-Congrats!" class="ext-discussiontools-init-timestamplink">02:01, 9 May 2020 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Paulmlieberman-2020-05-09T02:01:00.000Z-Congrats!"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Paulmlieberman-2020-05-09T02:01:00.000Z-Congrats!"></span> </p><p><span data-mw-comment-start="" id="c-Bob_K-2020-05-09T02:12:00.000Z-Congrats!"></span>No worries, Paul. When I started on Wikipedia, 15 years ago, I was reluctant to use my full name, and that just became my "normal". With 20/20 hindsight, if I had it to do over again, I'd use my full name, not because I care about recognition (I don't), but just because Wikipedia has gained my trust.<br/> --<a href="/wiki/User:Bob_K" title="User:Bob K">Bob K</a> (<a class="mw-selflink-fragment" href="#top">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-Bob_K-2020-05-09T02:12:00.000Z-Congrats!" class="ext-discussiontools-init-timestamplink">02:12, 9 May 2020 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Bob_K-2020-05-09T02:12:00.000Z-Congrats!"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Bob_K-2020-05-09T02:12:00.000Z-Congrats!"></span> </p> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="ArbCom_2020_Elections_voter_message" data-mw-thread-id="h-ArbCom_2020_Elections_voter_message-2020-11-24T01:20:00.000Z"><span data-mw-comment-start="" id="h-ArbCom_2020_Elections_voter_message-2020-11-24T01:20:00.000Z"></span>ArbCom 2020 Elections voter message<span data-mw-comment-end="h-ArbCom_2020_Elections_voter_message-2020-11-24T01:20:00.000Z"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=User_talk:Bob_K&action=edit&section=35" title="Edit section: ArbCom 2020 Elections voter message"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span><div class="ext-discussiontools-init-section-bar"><div class="ext-discussiontools-init-section-metadata"></div><div class="ext-discussiontools-init-section-actions"></div></div></div> <table class="messagebox" style="border: 1px solid #AAA; background: ivory; padding: 0.5em; width: 100%;"> <tbody><tr><td style="vertical-align:middle; padding-left:1px; padding-right:0.5em;"><span data-mw-comment-start="" id="c-MediaWiki_message_delivery-2020-11-24T01:20:00.000Z-ArbCom_2020_Elections_voter_message"></span><span typeof="mw:File"><a href="/wiki/File:Scale_of_justice_2.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/0e/Scale_of_justice_2.svg/40px-Scale_of_justice_2.svg.png" decoding="async" width="40" height="41" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/0e/Scale_of_justice_2.svg/60px-Scale_of_justice_2.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/0e/Scale_of_justice_2.svg/80px-Scale_of_justice_2.svg.png 2x" data-file-width="204" data-file-height="208"/></a></span></td><td>Hello! Voting in the <b><a href="/wiki/Wikipedia:ACE2020" class="mw-redirect" title="Wikipedia:ACE2020">2020 Arbitration Committee elections</a></b> is now open until 23:59 (UTC) on Monday, 7 December 2020. All <b><a href="/wiki/Wikipedia:Arbitration_Committee_Elections_December_2020#Election_timeline" title="Wikipedia:Arbitration Committee Elections December 2020">eligible users</a></b> are allowed to vote. Users with alternate accounts may only vote once. <p>The <a href="/wiki/Wikipedia:ARBCOM" class="mw-redirect" title="Wikipedia:ARBCOM">Arbitration Committee</a> is the panel of editors responsible for conducting the <a href="/wiki/Wikipedia:Arbitration" title="Wikipedia:Arbitration">Wikipedia arbitration process</a>. It has the authority to impose binding solutions to disputes between editors, primarily for serious conduct disputes the community has been unable to resolve. This includes the authority to impose <a href="/wiki/Wikipedia:BAN" class="mw-redirect" title="Wikipedia:BAN">site bans</a>, <a href="/wiki/Wikipedia:TBAN" class="mw-redirect" title="Wikipedia:TBAN">topic bans</a>, editing restrictions, and other measures needed to maintain our editing environment. The <a href="/wiki/Wikipedia:Arbitration/Policy" title="Wikipedia:Arbitration/Policy">arbitration policy</a> describes the Committee's roles and responsibilities in greater detail. </p><p>If you wish to participate in the 2020 election, please review <a href="/wiki/Wikipedia:Arbitration_Committee_Elections_December_2020/Candidates" title="Wikipedia:Arbitration Committee Elections December 2020/Candidates">the candidates</a> and submit your choices on the <b><a href="/wiki/Special:SecurePoll/vote/752" title="Special:SecurePoll/vote/752">voting page</a></b>. If you no longer wish to receive these messages, you may add <code>{{<a href="/wiki/Template:NoACEMM" class="mw-redirect" title="Template:NoACEMM">NoACEMM</a>}}</code> to your user talk page. <a href="/wiki/User:MediaWiki_message_delivery" title="User:MediaWiki message delivery">MediaWiki message delivery</a> (<a href="/wiki/User_talk:MediaWiki_message_delivery" title="User talk:MediaWiki message delivery">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-MediaWiki_message_delivery-2020-11-24T01:20:00.000Z-ArbCom_2020_Elections_voter_message" class="ext-discussiontools-init-timestamplink">01:20, 24 November 2020 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-MediaWiki_message_delivery-2020-11-24T01:20:00.000Z-ArbCom_2020_Elections_voter_message"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-MediaWiki_message_delivery-2020-11-24T01:20:00.000Z-ArbCom_2020_Elections_voter_message"></span> </p> </td></tr> </tbody></table> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="Disambiguation_link_notification_for_March_3" data-mw-thread-id="h-Disambiguation_link_notification_for_March_3-2021-03-03T06:07:00.000Z"><span data-mw-comment-start="" id="h-Disambiguation_link_notification_for_March_3-2021-03-03T06:07:00.000Z"></span>Disambiguation link notification for March 3<span data-mw-comment-end="h-Disambiguation_link_notification_for_March_3-2021-03-03T06:07:00.000Z"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=User_talk:Bob_K&action=edit&section=36" title="Edit section: Disambiguation link notification for March 3"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span><div class="ext-discussiontools-init-section-bar"><div class="ext-discussiontools-init-section-metadata"></div><div class="ext-discussiontools-init-section-actions"></div></div></div> <p><span data-mw-comment-start="" id="c-DPL_bot-2021-03-03T06:07:00.000Z-Disambiguation_link_notification_for_March_3"></span>An automated process has detected that when you recently edited <a href="/wiki/Discrete-time_Fourier_transform" title="Discrete-time Fourier transform">Discrete-time Fourier transform</a>, you added a link pointing to the disambiguation page <a href="/wiki/Normalized_frequency" class="mw-disambig" title="Normalized frequency">Normalized frequency</a>. </p><p>(<a href="/wiki/User:DPL_bot" title="User:DPL bot">Opt-out instructions</a>.) --<a href="/wiki/User:DPL_bot" title="User:DPL bot">DPL bot</a> (<a href="/wiki/User_talk:DPL_bot" title="User talk:DPL bot">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-DPL_bot-2021-03-03T06:07:00.000Z-Disambiguation_link_notification_for_March_3" class="ext-discussiontools-init-timestamplink">06:07, 3 March 2021 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-DPL_bot-2021-03-03T06:07:00.000Z-Disambiguation_link_notification_for_March_3"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-DPL_bot-2021-03-03T06:07:00.000Z-Disambiguation_link_notification_for_March_3"></span> </p> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="Revert_war_with_User:Gkl329Hf293_on_Analytic_signal" data-mw-thread-id="h-Revert_war_with_User:Gkl329Hf293_on_Analytic_signal-2021-09-25T20:44:00.000Z"><span data-mw-comment-start="" id="h-Revert_war_with_User:Gkl329Hf293_on_Analytic_signal-2021-09-25T20:44:00.000Z"></span>Revert war with <a href="/wiki/User:Gkl329Hf293" title="User:Gkl329Hf293">User:Gkl329Hf293</a> on <a href="/wiki/Analytic_signal" title="Analytic signal">Analytic signal</a><span data-mw-comment-end="h-Revert_war_with_User:Gkl329Hf293_on_Analytic_signal-2021-09-25T20:44:00.000Z"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=User_talk:Bob_K&action=edit&section=37" title="Edit section: Revert war with User:Gkl329Hf293 on Analytic signal"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span><div class="ext-discussiontools-init-section-bar"><div class="ext-discussiontools-init-section-metadata"></div><div class="ext-discussiontools-init-section-actions"></div></div></div> <p><span data-mw-comment-start="" id="c-Elwoz-2021-09-25T20:44:00.000Z-Revert_war_with_User:Gkl329Hf293_on_Analytic_signal"></span>You might be interested to know that <a href="/wiki/User:Gkl329Hf293" title="User:Gkl329Hf293">User:Gkl329Hf293</a> has also been reverting edits to <a href="/wiki/Dirac_delta_function" title="Dirac delta function">Dirac delta function</a> with no explanation and I have reported them for edit warring at <a class="external autonumber" href="https://en.wikipedia.org/wiki/Wikipedia:Administrators%27_noticeboard/Edit_warring#User:Gkl329Hf293_reported_by_User:Elwoz_(Result:_Blocked)">[3]</a>. <a href="/wiki/User:Elwoz" title="User:Elwoz">Elwoz</a> (<a href="/wiki/User_talk:Elwoz" title="User talk:Elwoz">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-Elwoz-2021-09-25T20:44:00.000Z-Revert_war_with_User:Gkl329Hf293_on_Analytic_signal" class="ext-discussiontools-init-timestamplink">20:44, 25 September 2021 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Elwoz-2021-09-25T20:44:00.000Z-Revert_war_with_User:Gkl329Hf293_on_Analytic_signal"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Elwoz-2021-09-25T20:44:00.000Z-Revert_war_with_User:Gkl329Hf293_on_Analytic_signal"></span> </p> <dl><dd><span data-mw-comment-start="" id="c-Bob_K-2021-09-26T12:24:00.000Z-Elwoz-2021-09-25T20:44:00.000Z"></span>Thank you. I was hoping someone else would step in. I didn't (and still don't) know any other way to handle that situation. --<a href="/wiki/User:Bob_K" title="User:Bob K">Bob K</a> (<a class="mw-selflink-fragment" href="#top">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-Bob_K-2021-09-26T12:24:00.000Z-Elwoz-2021-09-25T20:44:00.000Z" class="ext-discussiontools-init-timestamplink">12:24, 26 September 2021 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Bob_K-2021-09-26T12:24:00.000Z-Elwoz-2021-09-25T20:44:00.000Z"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Bob_K-2021-09-26T12:24:00.000Z-Elwoz-2021-09-25T20:44:00.000Z"></span></dd></dl> <dl><dd><dl><dd><span data-mw-comment-start="" id="c-Elwoz-2021-09-28T12:36:00.000Z-Bob_K-2021-09-26T12:24:00.000Z"></span>It's a little tedious, but I just followed the instructions in the "create a new report" form at <a class="external free" href="https://en.wikipedia.org/wiki/Wikipedia:Administrators%27_noticeboard/Edit_warring">https://en.wikipedia.org/wiki/Wikipedia:Administrators%27_noticeboard/Edit_warring</a> . <a href="/wiki/User:Elwoz" title="User:Elwoz">Elwoz</a> (<a href="/wiki/User_talk:Elwoz" title="User talk:Elwoz">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-Elwoz-2021-09-28T12:36:00.000Z-Bob_K-2021-09-26T12:24:00.000Z" class="ext-discussiontools-init-timestamplink">12:36, 28 September 2021 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Elwoz-2021-09-28T12:36:00.000Z-Bob_K-2021-09-26T12:24:00.000Z"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Elwoz-2021-09-28T12:36:00.000Z-Bob_K-2021-09-26T12:24:00.000Z"></span></dd></dl></dd></dl> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="ArbCom_2021_Elections_voter_message" data-mw-thread-id="h-ArbCom_2021_Elections_voter_message-2021-11-23T00:05:00.000Z"><span data-mw-comment-start="" id="h-ArbCom_2021_Elections_voter_message-2021-11-23T00:05:00.000Z"></span>ArbCom 2021 Elections voter message<span data-mw-comment-end="h-ArbCom_2021_Elections_voter_message-2021-11-23T00:05:00.000Z"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=User_talk:Bob_K&action=edit&section=38" title="Edit section: ArbCom 2021 Elections voter message"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span><div class="ext-discussiontools-init-section-bar"><div class="ext-discussiontools-init-section-metadata"></div><div class="ext-discussiontools-init-section-actions"></div></div></div> <table class="messagebox" style="border: 1px solid #AAA; background: ivory; padding: 0.5em; width: 100%;"> <tbody><tr><td style="vertical-align:middle; padding-left:1px; padding-right:0.5em;"><span data-mw-comment-start="" id="c-MediaWiki_message_delivery-2021-11-23T00:05:00.000Z-ArbCom_2021_Elections_voter_message"></span><span typeof="mw:File"><a href="/wiki/File:Scale_of_justice_2.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/0e/Scale_of_justice_2.svg/40px-Scale_of_justice_2.svg.png" decoding="async" width="40" height="41" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/0e/Scale_of_justice_2.svg/60px-Scale_of_justice_2.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/0e/Scale_of_justice_2.svg/80px-Scale_of_justice_2.svg.png 2x" data-file-width="204" data-file-height="208"/></a></span></td><td>Hello! Voting in the <b><a href="/wiki/Wikipedia:ACE2021" class="mw-redirect" title="Wikipedia:ACE2021">2021 Arbitration Committee elections</a></b> is now open until 23:59 (UTC) on Monday, 6 December 2021. All <b><a href="/wiki/Wikipedia:Arbitration_Committee_Elections_December_2021#Election_timeline" title="Wikipedia:Arbitration Committee Elections December 2021">eligible users</a></b> are allowed to vote. Users with alternate accounts may only vote once. <p>The <a href="/wiki/Wikipedia:ARBCOM" class="mw-redirect" title="Wikipedia:ARBCOM">Arbitration Committee</a> is the panel of editors responsible for conducting the <a href="/wiki/Wikipedia:Arbitration" title="Wikipedia:Arbitration">Wikipedia arbitration process</a>. It has the authority to impose binding solutions to disputes between editors, primarily for serious conduct disputes the community has been unable to resolve. This includes the authority to impose <a href="/wiki/Wikipedia:BAN" class="mw-redirect" title="Wikipedia:BAN">site bans</a>, <a href="/wiki/Wikipedia:TBAN" class="mw-redirect" title="Wikipedia:TBAN">topic bans</a>, editing restrictions, and other measures needed to maintain our editing environment. The <a href="/wiki/Wikipedia:Arbitration/Policy" title="Wikipedia:Arbitration/Policy">arbitration policy</a> describes the Committee's roles and responsibilities in greater detail. </p><p>If you wish to participate in the 2021 election, please review <a href="/wiki/Wikipedia:Arbitration_Committee_Elections_December_2021/Candidates" title="Wikipedia:Arbitration Committee Elections December 2021/Candidates">the candidates</a> and submit your choices on the <b><a href="/wiki/Special:SecurePoll/vote/801" title="Special:SecurePoll/vote/801">voting page</a></b>. If you no longer wish to receive these messages, you may add <code>{{<a href="/wiki/Template:NoACEMM" class="mw-redirect" title="Template:NoACEMM">NoACEMM</a>}}</code> to your user talk page. <small><a href="/wiki/User:MediaWiki_message_delivery" title="User:MediaWiki message delivery">MediaWiki message delivery</a> (<a href="/wiki/User_talk:MediaWiki_message_delivery" title="User talk:MediaWiki message delivery">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-MediaWiki_message_delivery-2021-11-23T00:05:00.000Z-ArbCom_2021_Elections_voter_message" class="ext-discussiontools-init-timestamplink">00:05, 23 November 2021 (UTC)</a></small><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-MediaWiki_message_delivery-2021-11-23T00:05:00.000Z-ArbCom_2021_Elections_voter_message"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-MediaWiki_message_delivery-2021-11-23T00:05:00.000Z-ArbCom_2021_Elections_voter_message"></span> </p> </td></tr> </tbody></table> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="Orphaned_non-free_image_File:Flinch_No._693_game_box,_1976.jpg" data-mw-thread-id="h-Orphaned_non-free_image_File:Flinch_No._693_game_box,_1976.jpg-20220728172400"><span id="Orphaned_non-free_image_File:Flinch_No._693_game_box.2C_1976.jpg"></span><span data-mw-comment-start="" id="h-Orphaned_non-free_image_File:Flinch_No._693_game_box,_1976.jpg-20220728172400"></span>Orphaned non-free image File:Flinch No. 693 game box, 1976.jpg<span data-mw-comment-end="h-Orphaned_non-free_image_File:Flinch_No._693_game_box,_1976.jpg-20220728172400"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=User_talk:Bob_K&action=edit&section=39" title="Edit section: Orphaned non-free image File:Flinch No. 693 game box, 1976.jpg"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span><div class="ext-discussiontools-init-section-bar"><div class="ext-discussiontools-init-section-metadata"></div><div class="ext-discussiontools-init-section-actions"></div></div></div> <span data-mw-comment-start="" id="c-B-bot-20220728172400-Orphaned_non-free_image_File:Flinch_No._693_game_box,_1976.jpg"></span><figure class="mw-halign-left" typeof="mw:File"><span title="⚠"><img alt="⚠" src="//upload.wikimedia.org/wikipedia/commons/thumb/3/34/Ambox_warning_blue.svg/35px-Ambox_warning_blue.svg.png" decoding="async" width="35" height="30" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/34/Ambox_warning_blue.svg/53px-Ambox_warning_blue.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/34/Ambox_warning_blue.svg/70px-Ambox_warning_blue.svg.png 2x" data-file-width="378" data-file-height="326"/></span><figcaption>⚠</figcaption></figure><p> Thanks for uploading <b><a href="/w/index.php?title=File:Flinch_No._693_game_box,_1976.jpg&action=edit&redlink=1" class="new" title="File:Flinch No. 693 game box, 1976.jpg (page does not exist)">File:Flinch No. 693 game box, 1976.jpg</a></b>. The image description page currently specifies that the image is non-free and may only be used on Wikipedia under a <a href="/wiki/Wikipedia:Non-free_content" title="Wikipedia:Non-free content">claim of fair use</a>. However, the image is currently not used in any articles on Wikipedia. If the image was previously in an article, please go to the article and see why it was removed. You may add it back if you think that that will be useful. However, please note that images for which a replacement could be created are not acceptable for use on Wikipedia (see <a href="/wiki/Wikipedia:Non-free_content#Policy" title="Wikipedia:Non-free content">our policy for non-free media</a>). </p><p>Note that any non-free images not used in any <b>articles</b> will be deleted after seven days, as described in <a href="/wiki/Wikipedia:Criteria_for_speedy_deletion#F5" title="Wikipedia:Criteria for speedy deletion">section F5 of the criteria for speedy deletion</a>. Thank you. --<a href="/wiki/User:B-bot" title="User:B-bot">B-bot</a> (<a href="/wiki/User_talk:B-bot" title="User talk:B-bot">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-B-bot-20220728172400-Orphaned_non-free_image_File:Flinch_No._693_game_box,_1976.jpg" class="ext-discussiontools-init-timestamplink">17:24, 28 July 2022 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-B-bot-20220728172400-Orphaned_non-free_image_File:Flinch_No._693_game_box,_1976.jpg"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-B-bot-20220728172400-Orphaned_non-free_image_File:Flinch_No._693_game_box,_1976.jpg"></span> </p> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="ArbCom_2022_Elections_voter_message" data-mw-thread-id="h-ArbCom_2022_Elections_voter_message-20221129002200"><span data-mw-comment-start="" id="h-ArbCom_2022_Elections_voter_message-20221129002200"></span>ArbCom 2022 Elections voter message<span data-mw-comment-end="h-ArbCom_2022_Elections_voter_message-20221129002200"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=User_talk:Bob_K&action=edit&section=40" title="Edit section: ArbCom 2022 Elections voter message"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span><div class="ext-discussiontools-init-section-bar"><div class="ext-discussiontools-init-section-metadata"></div><div class="ext-discussiontools-init-section-actions"></div></div></div> <div class="ivmbox" style="margin-bottom: 1em; border: 1px solid #AAA; background-color: ivory; padding: 0.5em; display: flex; align-items: center;"> <div class="ivmbox-image" style="padding-left:1px; padding-right:0.5em; flex: 1 0 40px;"><span data-mw-comment-start="" id="c-MediaWiki_message_delivery-20221129002200-ArbCom_2022_Elections_voter_message"></span><span typeof="mw:File"><a href="/wiki/File:Scale_of_justice_2.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/0e/Scale_of_justice_2.svg/40px-Scale_of_justice_2.svg.png" decoding="async" width="40" height="41" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/0e/Scale_of_justice_2.svg/60px-Scale_of_justice_2.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/0e/Scale_of_justice_2.svg/80px-Scale_of_justice_2.svg.png 2x" data-file-width="204" data-file-height="208"/></a></span></div> <div class="ivmbox-text"> <p>Hello! Voting in the <b><a href="/wiki/Wikipedia:ACE2022" class="mw-redirect" title="Wikipedia:ACE2022">2022 Arbitration Committee elections</a></b> is now open until 23:59 (UTC) on Monday, 12 December 2022. All <b><a href="/wiki/Wikipedia:Arbitration_Committee_Elections_December_2022#Election_timeline" title="Wikipedia:Arbitration Committee Elections December 2022">eligible users</a></b> are allowed to vote. Users with alternate accounts may only vote once. </p><p>The <a href="/wiki/Wikipedia:ARBCOM" class="mw-redirect" title="Wikipedia:ARBCOM">Arbitration Committee</a> is the panel of editors responsible for conducting the <a href="/wiki/Wikipedia:Arbitration" title="Wikipedia:Arbitration">Wikipedia arbitration process</a>. It has the authority to impose binding solutions to disputes between editors, primarily for serious conduct disputes the community has been unable to resolve. This includes the authority to impose <a href="/wiki/Wikipedia:BAN" class="mw-redirect" title="Wikipedia:BAN">site bans</a>, <a href="/wiki/Wikipedia:TBAN" class="mw-redirect" title="Wikipedia:TBAN">topic bans</a>, editing restrictions, and other measures needed to maintain our editing environment. The <a href="/wiki/Wikipedia:Arbitration/Policy" title="Wikipedia:Arbitration/Policy">arbitration policy</a> describes the Committee's roles and responsibilities in greater detail. </p><p>If you wish to participate in the 2022 election, please review <a href="/wiki/Wikipedia:Arbitration_Committee_Elections_December_2022/Candidates" title="Wikipedia:Arbitration Committee Elections December 2022/Candidates">the candidates</a> and submit your choices on the <b><a href="/wiki/Special:SecurePoll/vote/804" title="Special:SecurePoll/vote/804">voting page</a></b>. If you no longer wish to receive these messages, you may add <code>{{<a href="/wiki/Template:NoACEMM" class="mw-redirect" title="Template:NoACEMM">NoACEMM</a>}}</code> to your user talk page. <small><a href="/wiki/User:MediaWiki_message_delivery" title="User:MediaWiki message delivery">MediaWiki message delivery</a> (<a href="/wiki/User_talk:MediaWiki_message_delivery" title="User talk:MediaWiki message delivery">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-MediaWiki_message_delivery-20221129002200-ArbCom_2022_Elections_voter_message" class="ext-discussiontools-init-timestamplink">00:22, 29 November 2022 (UTC)</a></small><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-MediaWiki_message_delivery-20221129002200-ArbCom_2022_Elections_voter_message"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-MediaWiki_message_delivery-20221129002200-ArbCom_2022_Elections_voter_message"></span> </p> </div> </div> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="ArbCom_2023_Elections_voter_message" data-mw-thread-id="h-ArbCom_2023_Elections_voter_message-20231128002400"><span data-mw-comment-start="" id="h-ArbCom_2023_Elections_voter_message-20231128002400"></span>ArbCom 2023 Elections voter message<span data-mw-comment-end="h-ArbCom_2023_Elections_voter_message-20231128002400"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=User_talk:Bob_K&action=edit&section=41" title="Edit section: ArbCom 2023 Elections voter message"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span><div class="ext-discussiontools-init-section-bar"><div class="ext-discussiontools-init-section-metadata"></div><div class="ext-discussiontools-init-section-actions"></div></div></div> <div class="ivmbox" style="margin-bottom: 1em; border: 1px solid #AAA; background-color: ivory; padding: 0.5em; display: flex; align-items: center;"> <div class="ivmbox-image" style="padding-left:1px; padding-right:0.5em; flex: 1 0 40px; max-width: 100px"><span data-mw-comment-start="" id="c-MediaWiki_message_delivery-20231128002400-ArbCom_2023_Elections_voter_message"></span><span typeof="mw:File"><a href="/wiki/File:Scale_of_justice_2.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/0e/Scale_of_justice_2.svg/40px-Scale_of_justice_2.svg.png" decoding="async" width="40" height="41" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/0e/Scale_of_justice_2.svg/60px-Scale_of_justice_2.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/0e/Scale_of_justice_2.svg/80px-Scale_of_justice_2.svg.png 2x" data-file-width="204" data-file-height="208"/></a></span></div> <div class="ivmbox-text"> <p>Hello! Voting in the <b><a href="/wiki/Wikipedia:ACE2023" class="mw-redirect" title="Wikipedia:ACE2023">2023 Arbitration Committee elections</a></b> is now open until 23:59 (UTC) on Monday, 11 December 2023. All <b><a href="/wiki/Wikipedia:Arbitration_Committee_Elections_December_2023#Election_timeline" title="Wikipedia:Arbitration Committee Elections December 2023">eligible users</a></b> are allowed to vote. Users with alternate accounts may only vote once. </p><p>The <a href="/wiki/Wikipedia:ARBCOM" class="mw-redirect" title="Wikipedia:ARBCOM">Arbitration Committee</a> is the panel of editors responsible for conducting the <a href="/wiki/Wikipedia:Arbitration" title="Wikipedia:Arbitration">Wikipedia arbitration process</a>. It has the authority to impose binding solutions to disputes between editors, primarily for serious conduct disputes the community has been unable to resolve. This includes the authority to impose <a href="/wiki/Wikipedia:BAN" class="mw-redirect" title="Wikipedia:BAN">site bans</a>, <a href="/wiki/Wikipedia:TBAN" class="mw-redirect" title="Wikipedia:TBAN">topic bans</a>, editing restrictions, and other measures needed to maintain our editing environment. The <a href="/wiki/Wikipedia:Arbitration/Policy" title="Wikipedia:Arbitration/Policy">arbitration policy</a> describes the Committee's roles and responsibilities in greater detail. </p><p>If you wish to participate in the 2023 election, please review <a href="/wiki/Wikipedia:Arbitration_Committee_Elections_December_2023/Candidates" title="Wikipedia:Arbitration Committee Elections December 2023/Candidates">the candidates</a> and submit your choices on the <b><a href="/wiki/Special:SecurePoll/vote/806" title="Special:SecurePoll/vote/806">voting page</a></b>. If you no longer wish to receive these messages, you may add <code>{{<a href="/wiki/Template:NoACEMM" class="mw-redirect" title="Template:NoACEMM">NoACEMM</a>}}</code> to your user talk page. <small><a href="/wiki/User:MediaWiki_message_delivery" title="User:MediaWiki message delivery">MediaWiki message delivery</a> (<a href="/wiki/User_talk:MediaWiki_message_delivery" title="User talk:MediaWiki message delivery">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-MediaWiki_message_delivery-20231128002400-ArbCom_2023_Elections_voter_message" class="ext-discussiontools-init-timestamplink">00:24, 28 November 2023 (UTC)</a></small><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-MediaWiki_message_delivery-20231128002400-ArbCom_2023_Elections_voter_message"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-MediaWiki_message_delivery-20231128002400-ArbCom_2023_Elections_voter_message"></span> </p> </div> </div> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="Links_to_user_pages_and_sandboxes" data-mw-thread-id="h-Links_to_user_pages_and_sandboxes-20231231141400"><span data-mw-comment-start="" id="h-Links_to_user_pages_and_sandboxes-20231231141400"></span>Links to user pages and sandboxes<span data-mw-comment-end="h-Links_to_user_pages_and_sandboxes-20231231141400"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=User_talk:Bob_K&action=edit&section=42" title="Edit section: Links to user pages and sandboxes"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span><div class="ext-discussiontools-init-section-bar"><div class="ext-discussiontools-init-section-metadata"></div><div class="ext-discussiontools-init-section-actions"></div></div></div> <p><span data-mw-comment-start="" id="c-Arjayay-20231231141400-Links_to_user_pages_and_sandboxes"></span><span typeof="mw:File"><a href="/wiki/File:Information_orange.svg" class="mw-file-description"><img alt="Information icon" src="//upload.wikimedia.org/wikipedia/en/thumb/f/f0/Information_orange.svg/25px-Information_orange.svg.png" decoding="async" width="25" height="25" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/f/f0/Information_orange.svg/38px-Information_orange.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/f/f0/Information_orange.svg/50px-Information_orange.svg.png 2x" data-file-width="256" data-file-height="256"/></a></span> Please do <b>not</b> introduce <a href="/wiki/Wikipedia:LINK" class="mw-redirect" title="Wikipedia:LINK">links</a> in actual articles to <a href="/wiki/Wikipedia:User_pages" title="Wikipedia:User pages">user pages</a> or <a href="/wiki/Wikipedia:Sandbox" title="Wikipedia:Sandbox">sandboxes</a>, as you did at <a href="/wiki/Fourier_transform" title="Fourier transform">Fourier transform</a>. Since these pages have not been accepted as articles, user pages, sandboxes and drafts are not suitable for linking in articles. and such links are contrary to the <a href="/wiki/MOS:DRAFTNOLINK" class="mw-redirect" title="MOS:DRAFTNOLINK">Manual of Style</a>. These links have been deleted, please do not re-add any such links, thank you - <a href="/wiki/User:Arjayay" title="User:Arjayay">Arjayay</a> (<a href="/wiki/User_talk:Arjayay" title="User talk:Arjayay">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-Arjayay-20231231141400-Links_to_user_pages_and_sandboxes" class="ext-discussiontools-init-timestamplink">14:14, 31 December 2023 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Arjayay-20231231141400-Links_to_user_pages_and_sandboxes"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Arjayay-20231231141400-Links_to_user_pages_and_sandboxes"></span> </p> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="Wrap_control" data-mw-thread-id="h-Wrap_control-20240817155000"><span data-mw-comment-start="" id="h-Wrap_control-20240817155000"></span>Wrap control<span data-mw-comment-end="h-Wrap_control-20240817155000"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=User_talk:Bob_K&action=edit&section=43" title="Edit section: Wrap control"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span><div class="ext-discussiontools-init-section-bar"><div class="ext-discussiontools-init-section-metadata"></div><div class="ext-discussiontools-init-section-actions"></div></div></div> <p><span data-mw-comment-start="" id="c-Kvng-20240817155000-Wrap_control"></span>In <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Sampling_(signal_processing)&diff=1240172211&oldid=1239942541">this edit</a> you removed non-breaking spaces between numbers and units. These are generally desirable per <a href="/wiki/MOS:NBSP" class="mw-redirect" title="MOS:NBSP">MOS:NBSP</a>. The edit includes other formatting changes that I assume are good so I did not not revert. Would you mind cleaning this up? ~<a href="/wiki/User:Kvng" title="User:Kvng">Kvng</a> (<a href="/wiki/User_talk:Kvng" title="User talk:Kvng">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-Kvng-20240817155000-Wrap_control" class="ext-discussiontools-init-timestamplink">15:50, 17 August 2024 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Kvng-20240817155000-Wrap_control"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Kvng-20240817155000-Wrap_control"></span> </p> <dl><dd><span data-mw-comment-start="" id="c-Bob_K-20240817221100-Kvng-20240817155000"></span>Yes sir, and I thank you. I will try. I was using the edit, not edit source, and I did not understand the grey colored things that just seemed annoying at the time. Please feel free to help me where I inevitably fall short. --<a href="/wiki/User:Bob_K" title="User:Bob K">Bob K</a> (<a class="mw-selflink-fragment" href="#top">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-Bob_K-20240817221100-Kvng-20240817155000" class="ext-discussiontools-init-timestamplink">22:11, 17 August 2024 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Bob_K-20240817221100-Kvng-20240817155000"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Bob_K-20240817221100-Kvng-20240817155000"></span></dd></dl> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="ArbCom_2024_Elections_voter_message" data-mw-thread-id="h-ArbCom_2024_Elections_voter_message-20241119000700"><span data-mw-comment-start="" id="h-ArbCom_2024_Elections_voter_message-20241119000700"></span>ArbCom 2024 Elections voter message<span data-mw-comment-end="h-ArbCom_2024_Elections_voter_message-20241119000700"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=User_talk:Bob_K&action=edit&section=44" title="Edit section: ArbCom 2024 Elections voter message"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span><div class="ext-discussiontools-init-section-bar"><div class="ext-discussiontools-init-section-metadata"></div><div class="ext-discussiontools-init-section-actions"></div></div></div> <div class="ivmbox" style="margin-bottom: 1em; border: 1px solid #a2a9b1; background-color: #fdf2d5; padding: 0.5em; display: flex; align-items: center;"> <div class="ivmbox-image noresize" style="padding-left:1px; padding-right:0.5em;"><span data-mw-comment-start="" id="c-MediaWiki_message_delivery-20241119000700-ArbCom_2024_Elections_voter_message"></span><span typeof="mw:File"><a href="/wiki/File:Scale_of_justice_2.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/0e/Scale_of_justice_2.svg/40px-Scale_of_justice_2.svg.png" decoding="async" width="40" height="41" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/0e/Scale_of_justice_2.svg/60px-Scale_of_justice_2.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/0e/Scale_of_justice_2.svg/80px-Scale_of_justice_2.svg.png 2x" data-file-width="204" data-file-height="208"/></a></span></div> <div class="ivmbox-text"> <p>Hello! Voting in the <b><a href="/wiki/Wikipedia:ACE2024" class="mw-redirect" title="Wikipedia:ACE2024">2024 Arbitration Committee elections</a></b> is now open until 23:59 (UTC) on Monday, 2 December 2024. All <b><a href="/wiki/Wikipedia:Arbitration_Committee_Elections_December_2024#Election_timeline" title="Wikipedia:Arbitration Committee Elections December 2024">eligible users</a></b> are allowed to vote. Users with alternate accounts may only vote once. </p><p>The <a href="/wiki/Wikipedia:ARBCOM" class="mw-redirect" title="Wikipedia:ARBCOM">Arbitration Committee</a> is the panel of editors responsible for conducting the <a href="/wiki/Wikipedia:Arbitration" title="Wikipedia:Arbitration">Wikipedia arbitration process</a>. It has the authority to impose binding solutions to disputes between editors, primarily for serious conduct disputes the community has been unable to resolve. This includes the authority to impose <a href="/wiki/Wikipedia:BAN" class="mw-redirect" title="Wikipedia:BAN">site bans</a>, <a href="/wiki/Wikipedia:TBAN" class="mw-redirect" title="Wikipedia:TBAN">topic bans</a>, editing restrictions, and other measures needed to maintain our editing environment. The <a href="/wiki/Wikipedia:Arbitration/Policy" title="Wikipedia:Arbitration/Policy">arbitration policy</a> describes the Committee's roles and responsibilities in greater detail. </p><p>If you wish to participate in the 2024 election, please review <a href="/wiki/Wikipedia:Arbitration_Committee_Elections_December_2024/Candidates" title="Wikipedia:Arbitration Committee Elections December 2024/Candidates">the candidates</a> and submit your choices on the <b><a href="/wiki/Special:SecurePoll/vote/813" title="Special:SecurePoll/vote/813">voting page</a></b>. If you no longer wish to receive these messages, you may add <code>{{<a href="/wiki/Template:NoACEMM" class="mw-redirect" title="Template:NoACEMM">NoACEMM</a>}}</code> to your user talk page. <small><a href="/wiki/User:MediaWiki_message_delivery" title="User:MediaWiki message delivery">MediaWiki message delivery</a> (<a href="/wiki/User_talk:MediaWiki_message_delivery" title="User talk:MediaWiki message delivery">talk</a>) <a href="https://en.wikipedia.org/wiki/User_talk:Bob_K#c-MediaWiki_message_delivery-20241119000700-ArbCom_2024_Elections_voter_message" class="ext-discussiontools-init-timestamplink">00:07, 19 November 2024 (UTC)</a></small><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-MediaWiki_message_delivery-20241119000700-ArbCom_2024_Elections_voter_message"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-MediaWiki_message_delivery-20241119000700-ArbCom_2024_Elections_voter_message"></span> </p> </div> </div>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Retrieved from "<a dir="ltr" href="https://en.wikipedia.org/w/index.php?title=User_talk:Bob_K&oldid=1258260636">https://en.wikipedia.org/w/index.php?title=User_talk:Bob_K&oldid=1258260636</a>"</div></div> <div id="catlinks" class="catlinks catlinks-allhidden" data-mw="interface"></div> </div> </main> </div> <div class="mw-footer-container"> <footer id="footer" class="mw-footer" > <ul id="footer-info"> <li id="footer-info-lastmod"> This page was last edited on 19 November 2024, at 00:07<span class="anonymous-show"> (UTC)</span>.</li> <li id="footer-info-copyright">Text is available under the <a href="/wiki/Wikipedia:Text_of_the_Creative_Commons_Attribution-ShareAlike_4.0_International_License" title="Wikipedia:Text of the Creative Commons Attribution-ShareAlike 4.0 International License">Creative Commons Attribution-ShareAlike 4.0 License</a>; additional terms may apply. By using this site, you agree to the <a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Terms_of_Use" class="extiw" title="foundation:Special:MyLanguage/Policy:Terms of Use">Terms of Use</a> and <a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Privacy_policy" class="extiw" title="foundation:Special:MyLanguage/Policy:Privacy policy">Privacy Policy</a>. Wikipedia® is a registered trademark of the <a rel="nofollow" class="external text" href="https://wikimediafoundation.org/">Wikimedia Foundation, Inc.</a>, a non-profit organization.</li> </ul> <ul id="footer-places"> <li id="footer-places-privacy"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Privacy_policy">Privacy policy</a></li> <li id="footer-places-about"><a href="/wiki/Wikipedia:About">About Wikipedia</a></li> <li id="footer-places-disclaimers"><a href="/wiki/Wikipedia:General_disclaimer">Disclaimers</a></li> <li id="footer-places-contact"><a href="//en.wikipedia.org/wiki/Wikipedia:Contact_us">Contact Wikipedia</a></li> <li id="footer-places-wm-codeofconduct"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Universal_Code_of_Conduct">Code of Conduct</a></li> <li id="footer-places-developers"><a href="https://developer.wikimedia.org">Developers</a></li> <li id="footer-places-statslink"><a href="https://stats.wikimedia.org/#/en.wikipedia.org">Statistics</a></li> <li id="footer-places-cookiestatement"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Cookie_statement">Cookie statement</a></li> <li id="footer-places-mobileview"><a href="//en.m.wikipedia.org/w/index.php?title=User_talk:Bob_K&mobileaction=toggle_view_mobile" class="noprint stopMobileRedirectToggle">Mobile view</a></li> </ul> <ul id="footer-icons" class="noprint"> <li id="footer-copyrightico"><a href="https://wikimediafoundation.org/" class="cdx-button cdx-button--fake-button cdx-button--size-large cdx-button--fake-button--enabled"><img src="/static/images/footer/wikimedia-button.svg" width="84" height="29" alt="Wikimedia Foundation" loading="lazy"></a></li> <li id="footer-poweredbyico"><a href="https://www.mediawiki.org/" class="cdx-button cdx-button--fake-button cdx-button--size-large cdx-button--fake-button--enabled"><img src="/w/resources/assets/poweredby_mediawiki.svg" alt="Powered by MediaWiki" width="88" height="31" loading="lazy"></a></li> </ul> </footer> </div> </div> </div> <div class="vector-settings" id="p-dock-bottom"> <ul></ul> </div><script>(RLQ=window.RLQ||[]).push(function(){mw.config.set({"wgHostname":"mw-web.codfw.main-f69cdc8f6-78s75","wgBackendResponseTime":205,"wgDiscussionToolsPageThreads":[{"headingLevel":null,"name":"h-DV8_2XL-2005-11-19T11:38:00.000Z","type":"heading","level":0,"id":"h--2005-11-19T11:38:00.000Z","replies":[{"timestamp":"2005-11-19T11:38:00.000Z","author":"DV8 2XL","type":"comment","level":1,"id":"c-DV8_2XL-2005-11-19T11:38:00.000Z","replies":[]}]},{"headingLevel":2,"name":"h-","type":"heading","level":0,"id":"h-Finding_subpages","replies":[]},{"headingLevel":2,"name":"h-","type":"heading","level":0,"id":"h-Moved_images","replies":[]},{"headingLevel":2,"name":"h-Thenub314-2009-01-19T11:04:00.000Z","type":"heading","level":0,"id":"h-Convolution-2009-01-19T11:04:00.000Z","replies":[{"timestamp":"2009-01-19T11:04:00.000Z","author":"Thenub314","type":"comment","level":1,"id":"c-Thenub314-2009-01-19T11:04:00.000Z-Convolution","replies":[{"timestamp":"2009-01-19T14:28:00.000Z","author":"Bob K","type":"comment","level":2,"id":"c-Bob_K-2009-01-19T14:28:00.000Z-Thenub314-2009-01-19T11:04:00.000Z","replies":[{"timestamp":"2009-01-19T15:05:00.000Z","author":"Thenub314","type":"comment","level":3,"id":"c-Thenub314-2009-01-19T15:05:00.000Z-Bob_K-2009-01-19T14:28:00.000Z","replies":[]}]},{"timestamp":"2009-01-19T14:55:00.000Z","author":"Bob K","type":"comment","level":2,"id":"c-Bob_K-2009-01-19T14:55:00.000Z-Thenub314-2009-01-19T11:04:00.000Z","replies":[{"timestamp":"2009-01-19T15:05:00.000Z","author":"Thenub314","type":"comment","level":3,"id":"c-Thenub314-2009-01-19T15:05:00.000Z-Bob_K-2009-01-19T14:55:00.000Z","replies":[]}]},{"timestamp":"2009-01-19T15:20:00.000Z","author":"Bob K","type":"comment","level":2,"id":"c-Bob_K-2009-01-19T15:20:00.000Z-Thenub314-2009-01-19T11:04:00.000Z","replies":[]},{"timestamp":"2009-01-19T17:03:00.000Z","author":"Bob K","type":"comment","level":2,"id":"c-Bob_K-2009-01-19T17:03:00.000Z-Thenub314-2009-01-19T11:04:00.000Z","replies":[{"timestamp":"2009-01-19T19:07:00.000Z","author":"Thenub314","type":"comment","level":3,"id":"c-Thenub314-2009-01-19T19:07:00.000Z-Bob_K-2009-01-19T17:03:00.000Z","replies":[{"timestamp":"2018-08-15T12:52:00.000Z","author":"KorgBoy","type":"comment","level":4,"id":"c-KorgBoy-2018-08-15T12:52:00.000Z-Thenub314-2009-01-19T19:07:00.000Z","replies":[]}]}]}]}]},{"headingLevel":2,"name":"h-DPL_bot-2012-11-19T11:28:00.000Z","type":"heading","level":0,"id":"h-Disambiguation_link_notification_for_November_19-2012-11-19T11:28:00.000Z","replies":[{"timestamp":"2012-11-19T11:28:00.000Z","author":"DPL bot","type":"comment","level":1,"id":"c-DPL_bot-2012-11-19T11:28:00.000Z-Disambiguation_link_notification_for_November_19","replies":[],"displayName":"opt-out instructions"}]},{"headingLevel":2,"name":"h-Xakepp35-2013-02-07T20:03:00.000Z","type":"heading","level":0,"id":"h-Single-sideband_modulation_answer_on_my_biggest_Question_of_life-2013-02-07T20:03:00.000Z","replies":[{"timestamp":"2013-02-07T20:03:00.000Z","author":"Xakepp35","type":"comment","level":1,"id":"c-Xakepp35-2013-02-07T20:03:00.000Z-Single-sideband_modulation_answer_on_my_biggest_Question_of_life","replies":[{"timestamp":"2013-02-08T21:21:00.000Z","author":"Bob K","type":"comment","level":2,"id":"c-Bob_K-2013-02-08T21:21:00.000Z-Xakepp35-2013-02-07T20:03:00.000Z","replies":[]}]}]},{"headingLevel":2,"name":"h-Mathijs_Krijzer-2013-03-09T22:14:00.000Z","type":"heading","level":0,"id":"h-Examples_of_convolution-2013-03-09T22:14:00.000Z","replies":[{"timestamp":"2013-03-09T22:14:00.000Z","author":"Mathijs Krijzer","type":"comment","level":1,"id":"c-Mathijs_Krijzer-2013-03-09T22:14:00.000Z-Examples_of_convolution","replies":[]},{"headingLevel":4,"name":"h-","type":"heading","level":0,"id":"h-Definition-Examples_of_convolution","replies":[]},{"headingLevel":4,"name":"h-","type":"heading","level":0,"id":"h-Domain_of_definition-Examples_of_convolution","replies":[]},{"headingLevel":4,"name":"h-","type":"heading","level":0,"id":"h-Circular_discrete_convolution-Examples_of_convolution","replies":[]},{"headingLevel":4,"name":"h-","type":"heading","level":0,"id":"h-Circular_convolution-Examples_of_convolution","replies":[]},{"headingLevel":4,"name":"h-","type":"heading","level":0,"id":"h-Discrete_convolution-Examples_of_convolution","replies":[]}]},{"headingLevel":2,"name":"h-DPL_bot-2013-05-02T11:16:00.000Z","type":"heading","level":0,"id":"h-Disambiguation_link_notification_for_May_2-2013-05-02T11:16:00.000Z","replies":[{"timestamp":"2013-05-02T11:16:00.000Z","author":"DPL bot","type":"comment","level":1,"id":"c-DPL_bot-2013-05-02T11:16:00.000Z-Disambiguation_link_notification_for_May_2","replies":[],"displayName":"opt-out instructions"}]},{"headingLevel":2,"name":"h-David_Lloyd-Jones-2014-02-04T22:26:00.000Z","type":"heading","level":0,"id":"h-Some_bubble_tea_for_you!-2014-02-04T22:26:00.000Z","replies":[{"timestamp":"2014-02-04T22:26:00.000Z","author":"David Lloyd-Jones","type":"comment","level":1,"id":"c-David_Lloyd-Jones-2014-02-04T22:26:00.000Z-Some_bubble_tea_for_you!","replies":[]}]},{"headingLevel":2,"name":"h-Sagie-2014-02-06T13:04:00.000Z","type":"heading","level":0,"id":"h-Renaming_of_Star_transform_article-2014-02-06T13:04:00.000Z","replies":[{"timestamp":"2014-02-06T13:04:00.000Z","author":"Sagie","type":"comment","level":1,"id":"c-Sagie-2014-02-06T13:04:00.000Z-Renaming_of_Star_transform_article","replies":[{"timestamp":"2014-02-06T14:32:00.000Z","author":"Bob K","type":"comment","level":2,"id":"c-Bob_K-2014-02-06T14:32:00.000Z-Sagie-2014-02-06T13:04:00.000Z","replies":[]}]}]},{"headingLevel":2,"name":"h-Sagie-2014-02-06T13:09:00.000Z","type":"heading","level":0,"id":"h-Your_contributions_to_Z-transform_and_Star_transform-2014-02-06T13:09:00.000Z","replies":[{"timestamp":"2014-02-06T13:09:00.000Z","author":"Sagie","type":"comment","level":1,"id":"c-Sagie-2014-02-06T13:09:00.000Z-Your_contributions_to_Z-transform_and_Star_transform","replies":[{"timestamp":"2014-02-06T13:11:00.000Z","author":"Sagie","type":"comment","level":3,"id":"c-Sagie-2014-02-06T13:11:00.000Z-Sagie-2014-02-06T13:09:00.000Z","replies":[]}]},{"timestamp":"2014-02-06T15:41:00.000Z","author":"Bob K","type":"comment","level":1,"id":"c-Bob_K-2014-02-06T15:41:00.000Z-Your_contributions_to_Z-transform_and_Star_transform","replies":[{"timestamp":"2014-02-19T12:30:00.000Z","author":"Sagie","type":"comment","level":3,"id":"c-Sagie-2014-02-19T12:30:00.000Z-Bob_K-2014-02-06T15:41:00.000Z","replies":[]}]},{"timestamp":"2014-02-19T17:09:00.000Z","author":"Bob K","type":"comment","level":1,"id":"c-Bob_K-2014-02-19T17:09:00.000Z-Your_contributions_to_Z-transform_and_Star_transform","replies":[]}]},{"headingLevel":2,"name":"h-Bob_K-2014-06-17T11:35:00.000Z","type":"heading","level":0,"id":"h-Instantaneous_phase-2014-06-17T11:35:00.000Z","replies":[{"timestamp":"2014-06-17T11:35:00.000Z","author":"Bob K","type":"comment","level":1,"id":"c-Bob_K-2014-06-17T11:35:00.000Z-Instantaneous_phase","replies":[{"timestamp":"2014-06-17T11:59:00.000Z","author":"Jytdog","type":"comment","level":3,"id":"c-Jytdog-2014-06-17T11:59:00.000Z-Bob_K-2014-06-17T11:35:00.000Z","replies":[]}]}]},{"headingLevel":2,"name":"h-David_Eppstein-2015-02-09T00:42:00.000Z","type":"heading","level":0,"id":"h-Proposed_deletion_of_A_derivation_of_the_discrete_Fourier_transform-2015-02-09T00:42:00.000Z","replies":[{"timestamp":"2015-02-09T00:42:00.000Z","author":"David Eppstein","type":"comment","level":1,"id":"c-David_Eppstein-2015-02-09T00:42:00.000Z-Proposed_deletion_of_A_derivation_of_the_discrete_Fourier_transform","replies":[]}]},{"headingLevel":2,"name":"h-AboutFace_22-2015-06-17T14:50:00.000Z","type":"heading","level":0,"id":"h-FFT_of_the_Window_functions-2015-06-17T14:50:00.000Z","replies":[{"timestamp":"2015-06-17T14:50:00.000Z","author":"AboutFace 22","type":"comment","level":1,"id":"c-AboutFace_22-2015-06-17T14:50:00.000Z-FFT_of_the_Window_functions","replies":[]}]},{"headingLevel":2,"name":"h-Swadim-2017-08-24T08:32:00.000Z","type":"heading","level":0,"id":"h-Decimation_(signal_processing)-2017-08-24T08:32:00.000Z","replies":[{"timestamp":"2017-08-24T08:32:00.000Z","author":"Swadim","type":"comment","level":1,"id":"c-Swadim-2017-08-24T08:32:00.000Z-Decimation_(signal_processing)","replies":[{"timestamp":"2017-08-24T12:11:00.000Z","author":"Bob K","type":"comment","level":2,"id":"c-Bob_K-2017-08-24T12:11:00.000Z-Swadim-2017-08-24T08:32:00.000Z","replies":[]}]},{"timestamp":"2017-08-25T10:00:00.000Z","author":"Swadim","type":"comment","level":1,"id":"c-Swadim-2017-08-25T10:00:00.000Z-Decimation_(signal_processing)","replies":[]}]},{"headingLevel":2,"name":"h-MediaWiki_message_delivery-2016-11-21T22:08:00.000Z","type":"heading","level":0,"id":"h-ArbCom_Elections_2016:_Voting_now_open!-2016-11-21T22:08:00.000Z","replies":[{"timestamp":"2016-11-21T22:08:00.000Z","author":"MediaWiki message delivery","type":"comment","level":1,"id":"c-MediaWiki_message_delivery-2016-11-21T22:08:00.000Z-ArbCom_Elections_2016:_Voting_now_open!","replies":[]}]},{"headingLevel":2,"name":"h-Cmglee-2016-11-27T00:59:00.000Z","type":"heading","level":0,"id":"h-A_barnstar_for_you!-2016-11-27T00:59:00.000Z","replies":[{"timestamp":"2016-11-27T00:59:00.000Z","author":"Cmglee","type":"comment","level":1,"id":"c-Cmglee-2016-11-27T00:59:00.000Z-A_barnstar_for_you!","replies":[],"displayName":"cmɢʟee"}]},{"headingLevel":2,"name":"h-Bob_K-2017-09-26T14:39:00.000Z","type":"heading","level":0,"id":"h-Hamming_Window_Equation-2017-09-26T14:39:00.000Z","replies":[{"timestamp":"2017-09-26T14:39:00.000Z","author":"Bob K","type":"comment","level":1,"id":"c-Bob_K-2017-09-26T14:39:00.000Z-Hamming_Window_Equation","replies":[]}]},{"headingLevel":2,"name":"h-MediaWiki_message_delivery-2017-12-03T18:42:00.000Z","type":"heading","level":0,"id":"h-ArbCom_2017_election_voter_message-2017-12-03T18:42:00.000Z","replies":[{"timestamp":"2017-12-03T18:42:00.000Z","author":"MediaWiki message delivery","type":"comment","level":1,"id":"c-MediaWiki_message_delivery-2017-12-03T18:42:00.000Z-ArbCom_2017_election_voter_message","replies":[]}]},{"headingLevel":2,"name":"h-","type":"heading","level":0,"id":"h-Bandwidth_of_an_AM_signal","replies":[]},{"headingLevel":2,"name":"h-Dicklyon-2018-11-17T16:51:00.000Z","type":"heading","level":0,"id":"h-Expansion-2018-11-17T16:51:00.000Z","replies":[{"timestamp":"2018-11-17T16:51:00.000Z","author":"Dicklyon","type":"comment","level":1,"id":"c-Dicklyon-2018-11-17T16:51:00.000Z-Expansion","replies":[{"timestamp":"2018-11-17T22:00:00.000Z","author":"Bob K","type":"comment","level":2,"id":"c-Bob_K-2018-11-17T22:00:00.000Z-Dicklyon-2018-11-17T16:51:00.000Z","replies":[]}]}]},{"headingLevel":2,"name":"h-MediaWiki_message_delivery-2018-11-19T18:42:00.000Z","type":"heading","level":0,"id":"h-ArbCom_2018_election_voter_message-2018-11-19T18:42:00.000Z","replies":[{"timestamp":"2018-11-19T18:42:00.000Z","author":"MediaWiki message delivery","type":"comment","level":1,"id":"c-MediaWiki_message_delivery-2018-11-19T18:42:00.000Z-ArbCom_2018_election_voter_message","replies":[]}]},{"headingLevel":2,"name":"h-DPL_bot-2019-02-22T09:08:00.000Z","type":"heading","level":0,"id":"h-Disambiguation_link_notification_for_February_22-2019-02-22T09:08:00.000Z","replies":[{"timestamp":"2019-02-22T09:08:00.000Z","author":"DPL bot","type":"comment","level":1,"id":"c-DPL_bot-2019-02-22T09:08:00.000Z-Disambiguation_link_notification_for_February_22","replies":[],"displayName":"opt-out instructions"}]},{"headingLevel":2,"name":"h-Davidjessop-2019-02-24T09:10:00.000Z","type":"heading","level":0,"id":"h-Fourier_Transform_time_shifting_animation-2019-02-24T09:10:00.000Z","replies":[{"timestamp":"2019-02-24T09:10:00.000Z","author":"Davidjessop","type":"comment","level":1,"id":"c-Davidjessop-2019-02-24T09:10:00.000Z-Fourier_Transform_time_shifting_animation","replies":[]}]},{"headingLevel":2,"name":"h-RMaung_(WMF)-2019-09-06T16:01:00.000Z","type":"heading","level":0,"id":"h-Community_Insights_Survey-2019-09-06T16:01:00.000Z","replies":[{"timestamp":"2019-09-06T16:01:00.000Z","author":"RMaung (WMF)","type":"comment","level":1,"id":"c-RMaung_(WMF)-2019-09-06T16:01:00.000Z-Community_Insights_Survey","replies":[]}]},{"headingLevel":2,"name":"h-RMaung_(WMF)-2019-09-20T15:38:00.000Z","type":"heading","level":0,"id":"h-Reminder:_Community_Insights_Survey-2019-09-20T15:38:00.000Z","replies":[{"timestamp":"2019-09-20T15:38:00.000Z","author":"RMaung (WMF)","type":"comment","level":1,"id":"c-RMaung_(WMF)-2019-09-20T15:38:00.000Z-Reminder:_Community_Insights_Survey","replies":[]}]},{"headingLevel":2,"name":"h-RMaung_(WMF)-2019-10-03T20:39:00.000Z","type":"heading","level":0,"id":"h-Reminder:_Community_Insights_Survey_2-2019-10-03T20:39:00.000Z","replies":[{"timestamp":"2019-10-03T20:39:00.000Z","author":"RMaung (WMF)","type":"comment","level":1,"id":"c-RMaung_(WMF)-2019-10-03T20:39:00.000Z-Reminder:_Community_Insights_Survey_2","replies":[]}]},{"headingLevel":2,"name":"h-MediaWiki_message_delivery-2019-11-19T00:05:00.000Z","type":"heading","level":0,"id":"h-ArbCom_2019_election_voter_message-2019-11-19T00:05:00.000Z","replies":[{"timestamp":"2019-11-19T00:05:00.000Z","author":"MediaWiki message delivery","type":"comment","level":1,"id":"c-MediaWiki_message_delivery-2019-11-19T00:05:00.000Z-ArbCom_2019_election_voter_message","replies":[]}]},{"headingLevel":2,"name":"h-Martin_Urbanec-2019-11-23T21:59:00.000Z","type":"heading","level":0,"id":"h-Google_Code-In_2019_is_coming_-_please_mentor_some_documentation_tasks!-2019-11-23T21:59:00.000Z","replies":[{"timestamp":"2019-11-23T21:59:00.000Z","author":"Martin Urbanec","type":"comment","level":1,"id":"c-Martin_Urbanec-2019-11-23T21:59:00.000Z-Google_Code-In_2019_is_coming_-_please_mentor_some_documentation_tasks!","replies":[],"displayName":"User:Martin Urbanec"}]},{"headingLevel":2,"name":"h-Paulmlieberman-2020-05-06T14:42:00.000Z","type":"heading","level":0,"id":"h-Congrats!-2020-05-06T14:42:00.000Z","replies":[{"timestamp":"2020-05-06T14:42:00.000Z","author":"Paulmlieberman","type":"comment","level":1,"id":"c-Paulmlieberman-2020-05-06T14:42:00.000Z-Congrats!","replies":[{"timestamp":"2020-05-06T22:02:00.000Z","author":"Bob K","type":"comment","level":2,"id":"c-Bob_K-2020-05-06T22:02:00.000Z-Paulmlieberman-2020-05-06T14:42:00.000Z","replies":[{"timestamp":"2020-05-09T00:51:00.000Z","author":"Sdkb","type":"comment","level":3,"id":"c-Sdkb-2020-05-09T00:51:00.000Z-Bob_K-2020-05-06T22:02:00.000Z","replies":[{"timestamp":"2020-05-09T01:24:00.000Z","author":"Bob K","type":"comment","level":4,"id":"c-Bob_K-2020-05-09T01:24:00.000Z-Sdkb-2020-05-09T00:51:00.000Z","replies":[{"timestamp":"2020-05-09T01:30:00.000Z","author":"Sdkb","type":"comment","level":5,"id":"c-Sdkb-2020-05-09T01:30:00.000Z-Bob_K-2020-05-09T01:24:00.000Z","replies":[]}]},{"timestamp":"2020-05-09T01:43:00.000Z","author":"Bob K","type":"comment","level":4,"id":"c-Bob_K-2020-05-09T01:43:00.000Z-Sdkb-2020-05-09T00:51:00.000Z","replies":[]}]}]},{"timestamp":"2020-05-08T22:46:00.000Z","author":"Bob K","type":"comment","level":2,"id":"c-Bob_K-2020-05-08T22:46:00.000Z-Paulmlieberman-2020-05-06T14:42:00.000Z","replies":[]}]},{"timestamp":"2020-05-09T02:01:00.000Z","author":"Paulmlieberman","type":"comment","level":1,"id":"c-Paulmlieberman-2020-05-09T02:01:00.000Z-Congrats!","replies":[]},{"timestamp":"2020-05-09T02:12:00.000Z","author":"Bob K","type":"comment","level":1,"id":"c-Bob_K-2020-05-09T02:12:00.000Z-Congrats!","replies":[]}]},{"headingLevel":2,"name":"h-MediaWiki_message_delivery-2020-11-24T01:20:00.000Z","type":"heading","level":0,"id":"h-ArbCom_2020_Elections_voter_message-2020-11-24T01:20:00.000Z","replies":[{"timestamp":"2020-11-24T01:20:00.000Z","author":"MediaWiki message delivery","type":"comment","level":1,"id":"c-MediaWiki_message_delivery-2020-11-24T01:20:00.000Z-ArbCom_2020_Elections_voter_message","replies":[]}]},{"headingLevel":2,"name":"h-DPL_bot-2021-03-03T06:07:00.000Z","type":"heading","level":0,"id":"h-Disambiguation_link_notification_for_March_3-2021-03-03T06:07:00.000Z","replies":[{"timestamp":"2021-03-03T06:07:00.000Z","author":"DPL bot","type":"comment","level":1,"id":"c-DPL_bot-2021-03-03T06:07:00.000Z-Disambiguation_link_notification_for_March_3","replies":[],"displayName":"Opt-out instructions"}]},{"headingLevel":2,"name":"h-Elwoz-2021-09-25T20:44:00.000Z","type":"heading","level":0,"id":"h-Revert_war_with_User:Gkl329Hf293_on_Analytic_signal-2021-09-25T20:44:00.000Z","replies":[{"timestamp":"2021-09-25T20:44:00.000Z","author":"Elwoz","type":"comment","level":1,"id":"c-Elwoz-2021-09-25T20:44:00.000Z-Revert_war_with_User:Gkl329Hf293_on_Analytic_signal","replies":[{"timestamp":"2021-09-26T12:24:00.000Z","author":"Bob K","type":"comment","level":2,"id":"c-Bob_K-2021-09-26T12:24:00.000Z-Elwoz-2021-09-25T20:44:00.000Z","replies":[{"timestamp":"2021-09-28T12:36:00.000Z","author":"Elwoz","type":"comment","level":3,"id":"c-Elwoz-2021-09-28T12:36:00.000Z-Bob_K-2021-09-26T12:24:00.000Z","replies":[]}]}]}]},{"headingLevel":2,"name":"h-MediaWiki_message_delivery-2021-11-23T00:05:00.000Z","type":"heading","level":0,"id":"h-ArbCom_2021_Elections_voter_message-2021-11-23T00:05:00.000Z","replies":[{"timestamp":"2021-11-23T00:05:00.000Z","author":"MediaWiki message delivery","type":"comment","level":1,"id":"c-MediaWiki_message_delivery-2021-11-23T00:05:00.000Z-ArbCom_2021_Elections_voter_message","replies":[]}]},{"headingLevel":2,"name":"h-B-bot-20220728172400","type":"heading","level":0,"id":"h-Orphaned_non-free_image_File:Flinch_No._693_game_box,_1976.jpg-20220728172400","replies":[{"timestamp":"20220728172400","author":"B-bot","type":"comment","level":1,"id":"c-B-bot-20220728172400-Orphaned_non-free_image_File:Flinch_No._693_game_box,_1976.jpg","replies":[]}]},{"headingLevel":2,"name":"h-MediaWiki_message_delivery-20221129002200","type":"heading","level":0,"id":"h-ArbCom_2022_Elections_voter_message-20221129002200","replies":[{"timestamp":"20221129002200","author":"MediaWiki message delivery","type":"comment","level":1,"id":"c-MediaWiki_message_delivery-20221129002200-ArbCom_2022_Elections_voter_message","replies":[]}]},{"headingLevel":2,"name":"h-MediaWiki_message_delivery-20231128002400","type":"heading","level":0,"id":"h-ArbCom_2023_Elections_voter_message-20231128002400","replies":[{"timestamp":"20231128002400","author":"MediaWiki message delivery","type":"comment","level":1,"id":"c-MediaWiki_message_delivery-20231128002400-ArbCom_2023_Elections_voter_message","replies":[]}]},{"headingLevel":2,"name":"h-Arjayay-20231231141400","type":"heading","level":0,"id":"h-Links_to_user_pages_and_sandboxes-20231231141400","replies":[{"timestamp":"20231231141400","author":"Arjayay","type":"comment","level":1,"id":"c-Arjayay-20231231141400-Links_to_user_pages_and_sandboxes","replies":[]}]},{"headingLevel":2,"name":"h-Kvng-20240817155000","type":"heading","level":0,"id":"h-Wrap_control-20240817155000","replies":[{"timestamp":"20240817155000","author":"Kvng","type":"comment","level":1,"id":"c-Kvng-20240817155000-Wrap_control","replies":[{"timestamp":"20240817221100","author":"Bob K","type":"comment","level":2,"id":"c-Bob_K-20240817221100-Kvng-20240817155000","replies":[]}]}]},{"headingLevel":2,"name":"h-MediaWiki_message_delivery-20241119000700","type":"heading","level":0,"id":"h-ArbCom_2024_Elections_voter_message-20241119000700","replies":[{"timestamp":"20241119000700","author":"MediaWiki message delivery","type":"comment","level":1,"id":"c-MediaWiki_message_delivery-20241119000700-ArbCom_2024_Elections_voter_message","replies":[]}]}],"wgPageParseReport":{"discussiontools":{"limitreport-timeusage":"0.086"},"limitreport":{"cputime":"0.305","walltime":"0.510","ppvisitednodes":{"value":1699,"limit":1000000},"postexpandincludesize":{"value":8988,"limit":2097152},"templateargumentsize":{"value":4636,"limit":2097152},"expansiondepth":{"value":9,"limit":100},"expensivefunctioncount":{"value":0,"limit":500},"unstrip-depth":{"value":0,"limit":20},"unstrip-size":{"value":6346,"limit":5000000},"entityaccesscount":{"value":0,"limit":400},"timingprofile":["100.00% 124.503 1 -total"," 29.17% 36.317 1 Template:Main"," 18.09% 22.525 1 Template:Reflist-talk"," 15.92% 19.816 3 Template:Ivmbox"," 14.36% 17.882 1 Template:Reflist"," 8.68% 10.804 9 Template:Ifsubst"," 6.21% 7.735 6 Template:Tlx"," 5.71% 7.115 2 Template:Tlc"," 5.39% 6.708 1 Template:Smiley_face"," 5.18% 6.452 2 Template:Re"]},"scribunto":{"limitreport-timeusage":{"value":"0.026","limit":"10.000"},"limitreport-memusage":{"value":1258192,"limit":52428800}},"cachereport":{"origin":"mw-web.codfw.main-bd7b77474-vm58c","timestamp":"20241119091004","ttl":864000,"transientcontent":true}}});});</script> </body> </html>