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Black box - Wikipedia

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</ul> </li> <li id="toc-Testing_the_black_box_model" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Testing_the_black_box_model"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.3</span> <span>Testing the black box model</span> </div> </a> <ul id="toc-Testing_the_black_box_model-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Other_theories" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Other_theories"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Other theories</span> </div> </a> <button aria-controls="toc-Other_theories-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 Other theories subsection</span> </button> <ul id="toc-Other_theories-sublist" class="vector-toc-list"> <li id="toc-Adoption_in_humanities" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Adoption_in_humanities"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.1</span> <span>Adoption in humanities</span> </div> </a> <ul id="toc-Adoption_in_humanities-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Black_box_theory" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Black_box_theory"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.2</span> <span>Black box theory</span> </div> </a> <ul id="toc-Black_box_theory-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Applications" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Applications"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Applications</span> </div> </a> <button aria-controls="toc-Applications-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 Applications subsection</span> </button> <ul id="toc-Applications-sublist" class="vector-toc-list"> <li id="toc-Computing_and_mathematics" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Computing_and_mathematics"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.1</span> <span>Computing and mathematics</span> </div> </a> <ul id="toc-Computing_and_mathematics-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Science_and_technology" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Science_and_technology"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.2</span> <span>Science and technology</span> </div> </a> <ul id="toc-Science_and_technology-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Other_applications" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Other_applications"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.3</span> <span>Other applications</span> </div> </a> <ul id="toc-Other_applications-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-See_also" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#See_also"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>See also</span> </div> </a> <ul id="toc-See_also-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-References" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#References"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>References</span> </div> </a> <ul id="toc-References-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-main">Black box</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <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" aria-label="Go to an article in another language. Available in 39 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--action-progressive mw-portlet-lang-heading-39" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">39 languages</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%B5%D9%86%D8%AF%D9%88%D9%82_%D8%A3%D8%B3%D9%88%D8%AF_(%D8%B3%D8%A8%D8%B1%D8%A7%D9%86%D9%8A%D8%A9)" title="صندوق أسود (سبرانية) – Arabic" lang="ar" hreflang="ar" data-title="صندوق أسود (سبرانية)" data-language-autonym="العربية" data-language-local-name="Arabic" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Qara_qutu_(kibernetika)" title="Qara qutu (kibernetika) – Azerbaijani" lang="az" hreflang="az" data-title="Qara qutu (kibernetika)" data-language-autonym="Azərbaycanca" data-language-local-name="Azerbaijani" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%A7%D0%BE%D1%80%D0%BD%D0%B0%D1%8F_%D1%81%D0%BA%D1%80%D1%8B%D0%BD%D1%8F_(%D0%BA%D1%96%D0%B1%D0%B5%D1%80%D0%BD%D0%B5%D1%82%D1%8B%D0%BA%D0%B0)" title="Чорная скрыня (кібернетыка) – Belarusian" lang="be" hreflang="be" data-title="Чорная скрыня (кібернетыка)" data-language-autonym="Беларуская" data-language-local-name="Belarusian" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%A7%D0%B5%D1%80%D0%BD%D0%B0_%D0%BA%D1%83%D1%82%D0%B8%D1%8F" title="Черна кутия – Bulgarian" lang="bg" hreflang="bg" data-title="Черна кутия" data-language-autonym="Български" data-language-local-name="Bulgarian" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Caixa_negra_(sistemes)" title="Caixa negra (sistemes) – Catalan" lang="ca" hreflang="ca" data-title="Caixa negra (sistemes)" data-language-autonym="Català" data-language-local-name="Catalan" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/%C4%8Cern%C3%A1_sk%C5%99%C3%AD%C5%88ka_(kybernetika)" title="Černá skříňka (kybernetika) – Czech" lang="cs" hreflang="cs" data-title="Černá skříňka (kybernetika)" data-language-autonym="Čeština" data-language-local-name="Czech" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Black_Box_(Systemtheorie)" title="Black Box (Systemtheorie) – German" lang="de" hreflang="de" data-title="Black Box (Systemtheorie)" data-language-autonym="Deutsch" data-language-local-name="German" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Must_kast" title="Must kast – Estonian" lang="et" hreflang="et" data-title="Must kast" data-language-autonym="Eesti" data-language-local-name="Estonian" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Caja_negra_(sistemas)" title="Caja negra (sistemas) – Spanish" lang="es" hreflang="es" data-title="Caja negra (sistemas)" data-language-autonym="Español" data-language-local-name="Spanish" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Nigra_skatolo_(Sistemiko)" title="Nigra skatolo (Sistemiko) – Esperanto" lang="eo" hreflang="eo" data-title="Nigra skatolo (Sistemiko)" data-language-autonym="Esperanto" data-language-local-name="Esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Kutxa_beltz_(sistema)" title="Kutxa beltz (sistema) – Basque" lang="eu" hreflang="eu" data-title="Kutxa beltz (sistema)" data-language-autonym="Euskara" data-language-local-name="Basque" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%AC%D8%B9%D8%A8%D9%87_%D8%B3%DB%8C%D8%A7%D9%87_(%D8%B3%D8%A7%D9%85%D8%A7%D9%86%D9%87)" title="جعبه سیاه (سامانه) – Persian" lang="fa" hreflang="fa" data-title="جعبه سیاه (سامانه)" data-language-autonym="فارسی" data-language-local-name="Persian" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Bo%C3%AEte_noire_(syst%C3%A8me)" title="Boîte noire (système) – French" lang="fr" hreflang="fr" data-title="Boîte noire (système)" data-language-autonym="Français" data-language-local-name="French" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Bosca_dubh" title="Bosca dubh – Irish" lang="ga" hreflang="ga" data-title="Bosca dubh" data-language-autonym="Gaeilge" data-language-local-name="Irish" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EB%B8%94%EB%9E%99%EB%B0%95%EC%8A%A4" title="블랙박스 – Korean" lang="ko" hreflang="ko" data-title="블랙박스" data-language-autonym="한국어" data-language-local-name="Korean" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Modello_black_box" title="Modello black box – Italian" lang="it" hreflang="it" data-title="Modello black box" data-language-autonym="Italiano" data-language-local-name="Italian" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%A7%D7%95%D7%A4%D7%A1%D7%94_%D7%A9%D7%97%D7%95%D7%A8%D7%94_(%D7%94%D7%A0%D7%93%D7%A1%D7%94)" title="קופסה שחורה (הנדסה) – Hebrew" lang="he" hreflang="he" data-title="קופסה שחורה (הנדסה)" data-language-autonym="עברית" data-language-local-name="Hebrew" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%A8%E1%83%90%E1%83%95%E1%83%98_%E1%83%A7%E1%83%A3%E1%83%97%E1%83%98" title="შავი ყუთი – Georgian" lang="ka" hreflang="ka" data-title="შავი ყუთი" data-language-autonym="ქართული" data-language-local-name="Georgian" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Meln%C4%81_kaste" title="Melnā kaste – Latvian" lang="lv" hreflang="lv" data-title="Melnā kaste" data-language-autonym="Latviešu" data-language-local-name="Latvian" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Feketedoboz_(rendszerelm%C3%A9let)" title="Feketedoboz (rendszerelmélet) – Hungarian" lang="hu" hreflang="hu" data-title="Feketedoboz (rendszerelmélet)" data-language-autonym="Magyar" data-language-local-name="Hungarian" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-my mw-list-item"><a href="https://my.wikipedia.org/wiki/%E1%80%98%E1%80%9C%E1%80%80%E1%80%BA%E1%80%98%E1%80%B1%E1%80%AC%E1%80%80%E1%80%BA%E1%80%85%E1%80%BA" title="ဘလက်ဘောက်စ် – Burmese" lang="my" hreflang="my" data-title="ဘလက်ဘောက်စ်" data-language-autonym="မြန်မာဘာသာ" data-language-local-name="Burmese" class="interlanguage-link-target"><span>မြန်မာဘာသာ</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Zwarte_doos" title="Zwarte doos – Dutch" lang="nl" hreflang="nl" data-title="Zwarte doos" data-language-autonym="Nederlands" data-language-local-name="Dutch" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E3%83%96%E3%83%A9%E3%83%83%E3%82%AF%E3%83%9C%E3%83%83%E3%82%AF%E3%82%B9" title="ブラックボックス – Japanese" lang="ja" hreflang="ja" data-title="ブラックボックス" data-language-autonym="日本語" data-language-local-name="Japanese" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Svart_boks" title="Svart boks – Norwegian Bokmål" lang="nb" hreflang="nb" data-title="Svart boks" data-language-autonym="Norsk bokmål" data-language-local-name="Norwegian Bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Czarna_skrzynka_(system)" title="Czarna skrzynka (system) – Polish" lang="pl" hreflang="pl" data-title="Czarna skrzynka (system)" data-language-autonym="Polski" data-language-local-name="Polish" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Caixa_preta_(teoria_dos_sistemas)" title="Caixa preta (teoria dos sistemas) – Portuguese" lang="pt" hreflang="pt" data-title="Caixa preta (teoria dos sistemas)" data-language-autonym="Português" data-language-local-name="Portuguese" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-rue mw-list-item"><a href="https://rue.wikipedia.org/wiki/%D0%A7%D0%BE%D1%80%D0%BD%D0%B0_%D1%81%D0%BA%D1%80%D0%B8%D0%BD%D1%8C%D0%BA%D0%B0_(%D0%BA%D1%96%D0%B1%D0%B5%D1%80%D0%BD%D0%B5%D1%82%D1%96%D0%BA%D0%B0)" title="Чорна скринька (кібернетіка) – Rusyn" lang="rue" hreflang="rue" data-title="Чорна скринька (кібернетіка)" data-language-autonym="Русиньскый" data-language-local-name="Rusyn" class="interlanguage-link-target"><span>Русиньскый</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%A7%D1%91%D1%80%D0%BD%D1%8B%D0%B9_%D1%8F%D1%89%D0%B8%D0%BA" title="Чёрный ящик – Russian" lang="ru" hreflang="ru" data-title="Чёрный ящик" data-language-autonym="Русский" data-language-local-name="Russian" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Black_box" title="Black box – Simple English" lang="en-simple" hreflang="en-simple" data-title="Black box" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/%C4%8Cierna_skrinka_(v%C5%A1eobecn%C3%BD_pojem)" title="Čierna skrinka (všeobecný pojem) – Slovak" lang="sk" hreflang="sk" data-title="Čierna skrinka (všeobecný pojem)" data-language-autonym="Slovenčina" data-language-local-name="Slovak" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/%C4%8Crna_%C5%A1katla_(tehnika)" title="Črna škatla (tehnika) – Slovenian" lang="sl" hreflang="sl" data-title="Črna škatla (tehnika)" data-language-autonym="Slovenščina" data-language-local-name="Slovenian" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%A6%D1%80%D0%BD%D0%B0_%D0%BA%D1%83%D1%82%D0%B8%D1%98%D0%B0" title="Црна кутија – Serbian" lang="sr" hreflang="sr" data-title="Црна кутија" data-language-autonym="Српски / srpski" data-language-local-name="Serbian" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Musta_laatikko_(systeemiteoria)" title="Musta laatikko (systeemiteoria) – Finnish" lang="fi" hreflang="fi" data-title="Musta laatikko (systeemiteoria)" data-language-autonym="Suomi" data-language-local-name="Finnish" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Svart_l%C3%A5da" title="Svart låda – Swedish" lang="sv" hreflang="sv" data-title="Svart låda" data-language-autonym="Svenska" data-language-local-name="Swedish" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Kara_kutu_(sibernetik)" title="Kara kutu (sibernetik) – Turkish" lang="tr" hreflang="tr" data-title="Kara kutu (sibernetik)" data-language-autonym="Türkçe" data-language-local-name="Turkish" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a 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</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"><div class="shortdescription nomobile noexcerpt noprint searchaux" style="display:none">System where only the inputs and outputs can be viewed, and not its implementation</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">This article is about the abstract concept of black box systems. For black boxes in aircraft, see <a href="/wiki/Flight_recorder" title="Flight recorder">Flight recorder</a>. For other uses, see <a href="/wiki/Black_box_(disambiguation)" class="mw-disambig" title="Black box (disambiguation)">Black box (disambiguation)</a>.</div> <style data-mw-deduplicate="TemplateStyles:r1257001546">.mw-parser-output .infobox-subbox{padding:0;border:none;margin:-3px;width:auto;min-width:100%;font-size:100%;clear:none;float:none;background-color:transparent}.mw-parser-output .infobox-3cols-child{margin:auto}.mw-parser-output .infobox .navbar{font-size:100%}@media screen{html.skin-theme-clientpref-night .mw-parser-output .infobox-full-data:not(.notheme)>div:not(.notheme)[style]{background:#1f1f23!important;color:#f8f9fa}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .infobox-full-data:not(.notheme) div:not(.notheme){background:#1f1f23!important;color:#f8f9fa}}@media(min-width:640px){body.skin--responsive .mw-parser-output .infobox-table{display:table!important}body.skin--responsive .mw-parser-output .infobox-table>caption{display:table-caption!important}body.skin--responsive .mw-parser-output .infobox-table>tbody{display:table-row-group}body.skin--responsive .mw-parser-output .infobox-table tr{display:table-row!important}body.skin--responsive .mw-parser-output .infobox-table th,body.skin--responsive .mw-parser-output .infobox-table td{padding-left:inherit;padding-right:inherit}}</style><table class="infobox" style="width:18em; text-align:center; font-size:95%;"><tbody><tr><th colspan="2" class="infobox-above" style="padding-bottom:0.3em; background:transparent; line-height:1.1em; font-size:125%; font-weight:bold;"><a class="mw-selflink selflink">Black box systems</a></th></tr><tr><td colspan="2" class="infobox-image"><span typeof="mw:File"><a href="/wiki/File:Black_box_diagram.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e4/Black_box_diagram.svg/200px-Black_box_diagram.svg.png" decoding="async" width="200" height="63" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e4/Black_box_diagram.svg/300px-Black_box_diagram.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e4/Black_box_diagram.svg/400px-Black_box_diagram.svg.png 2x" data-file-width="271" data-file-height="85" /></a></span></td></tr><tr><th colspan="2" class="infobox-header" style="background:#E7C6A5;">System</th></tr><tr><td colspan="2" class="infobox-full-data" style="line-height:1.4em;"><a class="mw-selflink selflink">Black box</a>, <a href="/wiki/Oracle_machine" title="Oracle machine">Oracle machine</a></td></tr><tr><th colspan="2" class="infobox-header" style="background:#E7C6A5;">Methods and techniques</th></tr><tr><td colspan="2" class="infobox-full-data" style="line-height:1.4em;"><a href="/wiki/Black-box_testing" title="Black-box testing">Black-box testing</a>, <a href="/wiki/Blackboxing" title="Blackboxing">Blackboxing</a> <hr /></td></tr><tr><th colspan="2" class="infobox-header" style="background:#E7C6A5;">Related techniques</th></tr><tr><td colspan="2" class="infobox-full-data" style="line-height:1.4em;"><a href="/wiki/Feed_forward_(control)" title="Feed forward (control)">Feed forward</a>, <a href="/wiki/Obfuscation" title="Obfuscation">Obfuscation</a>, <a href="/wiki/Pattern_recognition" title="Pattern recognition">Pattern recognition</a>, <a href="/wiki/White_box_(software_engineering)" title="White box (software engineering)">White box</a>, <a href="/wiki/White-box_testing" title="White-box testing">White-box testing</a>, <a href="/wiki/Gray-box_testing" title="Gray-box testing">Gray-box testing</a>, <a href="/wiki/System_identification" title="System identification">System identification</a></td></tr><tr><th colspan="2" class="infobox-header" style="background:#E7C6A5;">Fundamentals</th></tr><tr><td colspan="2" class="infobox-full-data" style="line-height:1.4em;"><a href="/wiki/A_priori_information" class="mw-redirect" title="A priori information"><i>A priori</i> information</a>, <a href="/wiki/Control_system" title="Control system">Control systems</a>, <a href="/wiki/Open_system_(systems_theory)" title="Open system (systems theory)">Open systems</a>, <a href="/wiki/Operations_research" title="Operations research">Operations research</a>, <a href="/wiki/Thermodynamic_system" title="Thermodynamic system">Thermodynamic systems</a></td></tr><tr><td colspan="2" class="infobox-navbar"><style data-mw-deduplicate="TemplateStyles:r1129693374">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist dd,.mw-parser-output .hlist dt,.mw-parser-output .hlist li{margin:0;display:inline}.mw-parser-output .hlist.inline,.mw-parser-output .hlist.inline dl,.mw-parser-output .hlist.inline ol,.mw-parser-output .hlist.inline ul,.mw-parser-output .hlist dl dl,.mw-parser-output .hlist dl ol,.mw-parser-output .hlist dl ul,.mw-parser-output .hlist ol dl,.mw-parser-output .hlist ol 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(";font-weight:normal}.mw-parser-output .hlist dd dd:last-child::after,.mw-parser-output .hlist dd dt:last-child::after,.mw-parser-output .hlist dd li:last-child::after,.mw-parser-output .hlist dt dd:last-child::after,.mw-parser-output .hlist dt dt:last-child::after,.mw-parser-output .hlist dt li:last-child::after,.mw-parser-output .hlist li dd:last-child::after,.mw-parser-output .hlist li dt:last-child::after,.mw-parser-output .hlist li li:last-child::after{content:")";font-weight:normal}.mw-parser-output .hlist ol{counter-reset:listitem}.mw-parser-output .hlist ol>li{counter-increment:listitem}.mw-parser-output .hlist ol>li::before{content:" "counter(listitem)"\a0 "}.mw-parser-output .hlist dd ol>li:first-child::before,.mw-parser-output .hlist dt ol>li:first-child::before,.mw-parser-output .hlist li ol>li:first-child::before{content:" ("counter(listitem)"\a0 "}</style><style data-mw-deduplicate="TemplateStyles:r1239400231">.mw-parser-output .navbar{display:inline;font-size:88%;font-weight:normal}.mw-parser-output .navbar-collapse{float:left;text-align:left}.mw-parser-output .navbar-boxtext{word-spacing:0}.mw-parser-output .navbar ul{display:inline-block;white-space:nowrap;line-height:inherit}.mw-parser-output .navbar-brackets::before{margin-right:-0.125em;content:"[ "}.mw-parser-output .navbar-brackets::after{margin-left:-0.125em;content:" ]"}.mw-parser-output .navbar li{word-spacing:-0.125em}.mw-parser-output .navbar a>span,.mw-parser-output .navbar a>abbr{text-decoration:inherit}.mw-parser-output .navbar-mini abbr{font-variant:small-caps;border-bottom:none;text-decoration:none;cursor:inherit}.mw-parser-output .navbar-ct-full{font-size:114%;margin:0 7em}.mw-parser-output .navbar-ct-mini{font-size:114%;margin:0 4em}html.skin-theme-clientpref-night .mw-parser-output .navbar li a abbr{color:var(--color-base)!important}@media(prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .navbar li a abbr{color:var(--color-base)!important}}@media print{.mw-parser-output .navbar{display:none!important}}</style><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Black-box" title="Template:Black-box"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Black-box" title="Template talk:Black-box"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Black-box" title="Special:EditPage/Template:Black-box"><abbr title="Edit this template">e</abbr></a></li></ul></div></td></tr></tbody></table> <p> In science, computing, and engineering, a <b>black box</b> is a system which can be viewed in terms of its inputs and outputs (or <a href="/wiki/Transfer_function" title="Transfer function">transfer characteristics</a>), without any knowledge of its internal workings.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">&#91;</span>1<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">&#91;</span>2<span class="cite-bracket">&#93;</span></a></sup> Its implementation is "opaque" (black). The term can be used to refer to many inner workings, such as those of a <a href="/wiki/Transistor" title="Transistor">transistor</a>, an <a href="/wiki/Engine" title="Engine">engine</a>, an <a href="/wiki/Algorithm" title="Algorithm">algorithm</a>, the <a href="/wiki/Human_brain" title="Human brain">human brain</a>, or an institution or <a href="/wiki/Government" title="Government">government</a>. </p><p>To analyze an <a href="/wiki/Open_system_(systems_theory)" title="Open system (systems theory)">open system</a> with a typical "black box approach", only the behavior of the stimulus/response will be accounted for, to infer the (unknown) <i>box</i>. The usual representation of this "black box system" is a <a href="/wiki/Data_flow_diagram" class="mw-redirect" title="Data flow diagram">data flow diagram</a> centered in the box. </p><p>The opposite of a black box is a system where the inner components or logic are available for inspection, which is most commonly referred to as a <a href="/wiki/White_box_(software_engineering)" title="White box (software engineering)">white box</a> (sometimes also known as a "clear box" or a "glass box"). </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="History">History</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Black_box&amp;action=edit&amp;section=1" title="Edit section: History"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/File:Blackbox3D-withGraphs.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/5b/Blackbox3D-withGraphs.svg/500px-Blackbox3D-withGraphs.svg.png" decoding="async" width="500" height="143" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/5b/Blackbox3D-withGraphs.svg/750px-Blackbox3D-withGraphs.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/5b/Blackbox3D-withGraphs.svg/1000px-Blackbox3D-withGraphs.svg.png 2x" data-file-width="1423" data-file-height="407" /></a><figcaption>A black box model can be used to describe the outputs of systems.</figcaption></figure> <p>The modern meaning of the term "black box" seems to have entered the English language around 1945. In electronic <a href="/wiki/Circuit_theory" class="mw-redirect" title="Circuit theory">circuit theory</a> the process of <a href="/wiki/Network_synthesis" title="Network synthesis">network synthesis</a> from <a href="/wiki/Transfer_function" title="Transfer function">transfer functions</a>, which led to electronic circuits being regarded as "black boxes" characterized by their response to signals applied to their <a href="/wiki/Port_(circuit_theory)" title="Port (circuit theory)">ports</a>, can be traced to <a href="/wiki/Wilhelm_Cauer" title="Wilhelm Cauer">Wilhelm Cauer</a> who published his ideas in their most developed form in 1941.<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">&#91;</span>3<span class="cite-bracket">&#93;</span></a></sup> Although Cauer did not himself use the term, others who followed him certainly did describe the method as black-box analysis.<sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">&#91;</span>4<span class="cite-bracket">&#93;</span></a></sup> <a href="/wiki/Vitold_Belevitch" title="Vitold Belevitch">Vitold Belevitch</a><sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">&#91;</span>5<span class="cite-bracket">&#93;</span></a></sup> puts the concept of black-boxes even earlier, attributing the explicit use of <a href="/wiki/Two-port_network" title="Two-port network">two-port networks</a> as black boxes to <a href="/wiki/Franz_Breisig" title="Franz Breisig">Franz Breisig</a> in 1921 and argues that 2-terminal components were implicitly treated as black-boxes before that. </p><p>In <a href="/wiki/Cybernetics" title="Cybernetics">cybernetics</a>, a full treatment was given by <a href="/wiki/Ross_Ashby" class="mw-redirect" title="Ross Ashby">Ross Ashby</a> in 1956.<sup id="cite_ref-ash56_6-0" class="reference"><a href="#cite_note-ash56-6"><span class="cite-bracket">&#91;</span>6<span class="cite-bracket">&#93;</span></a></sup> A black box was described by <a href="/wiki/Norbert_Wiener" title="Norbert Wiener">Norbert Wiener</a> in 1961 as an unknown system that was to be identified using the techniques of <a href="/wiki/System_identification" title="System identification">system identification</a>.<sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite-bracket">&#91;</span>7<span class="cite-bracket">&#93;</span></a></sup> He saw the first step in <a href="/wiki/Self_organization#Self-organization_in_cybernetics" class="mw-redirect" title="Self organization">self-organization</a> as being to be able to copy the output behavior of a black box. Many other engineers, scientists and epistemologists, such as <a href="/wiki/Mario_Bunge" title="Mario Bunge">Mario Bunge</a>,<sup id="cite_ref-Bunge63_8-0" class="reference"><a href="#cite_note-Bunge63-8"><span class="cite-bracket">&#91;</span>8<span class="cite-bracket">&#93;</span></a></sup> used and perfected the black box theory in the 1960s. </p> <div class="mw-heading mw-heading2"><h2 id="Systems_theory">Systems theory</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Black_box&amp;action=edit&amp;section=2" title="Edit section: Systems theory"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure typeof="mw:File/Thumb"><a href="/wiki/File:OpenSystemRepresentation.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/77/OpenSystemRepresentation.svg/252px-OpenSystemRepresentation.svg.png" decoding="async" width="252" height="200" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/77/OpenSystemRepresentation.svg/378px-OpenSystemRepresentation.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/77/OpenSystemRepresentation.svg/504px-OpenSystemRepresentation.svg.png 2x" data-file-width="931" data-file-height="740" /></a><figcaption>The <i><a href="/wiki/Open_system_(systems_theory)" title="Open system (systems theory)">open systems theory</a></i> is the foundation of <i>black box theory</i>. Both have focus on input and output flows, representing exchanges with the surroundings.</figcaption></figure> <p>In <a href="/wiki/Systems_theory" title="Systems theory">systems theory</a>, the <i>black box</i> is an abstraction representing a class of concrete <a href="/wiki/Open_system_(systems_theory)" title="Open system (systems theory)">open system</a> which can be viewed solely in terms of its <i>stimuli inputs</i> and <i>output reactions</i>: </p> <style data-mw-deduplicate="TemplateStyles:r1244412712">.mw-parser-output .templatequote{overflow:hidden;margin:1em 0;padding:0 32px}.mw-parser-output .templatequotecite{line-height:1.5em;text-align:left;margin-top:0}@media(min-width:500px){.mw-parser-output .templatequotecite{padding-left:1.6em}}</style><blockquote class="templatequote"><p>The constitution and structure of the box are altogether irrelevant to the approach under consideration, which is purely external or phenomenological. In other words, only the behavior of the system will be accounted for.</p><div class="templatequotecite">—&#8202;<cite><a href="/wiki/Mario_Bunge" title="Mario Bunge">Mario Bunge</a><sup id="cite_ref-Bunge63_8-1" class="reference"><a href="#cite_note-Bunge63-8"><span class="cite-bracket">&#91;</span>8<span class="cite-bracket">&#93;</span></a></sup></cite></div></blockquote> <p>The understanding of a <i>black box</i> is based on the "explanatory principle", the <a href="/wiki/Hypothesis" title="Hypothesis">hypothesis</a> of a <a href="/wiki/Causal_relation" class="mw-redirect" title="Causal relation">causal relation</a> between the <i>input</i> and the <i>output</i>. This principle states that <i>input</i> and <i>output</i> are distinct, that the system has observable (and relatable) inputs and outputs and that the system is black to the observer (non-openable).<sup id="cite_ref-gla09_9-0" class="reference"><a href="#cite_note-gla09-9"><span class="cite-bracket">&#91;</span>9<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Recording_of_observed_states">Recording of observed states</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Black_box&amp;action=edit&amp;section=3" title="Edit section: Recording of observed states"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>An observer makes observations over time. All observations of inputs and outputs of a <i>black box</i> can be written in a table, in which, at each of a sequence of times, the states of the <i>box's</i> various parts, input and output, are recorded. Thus, using an example from <a href="/wiki/William_Ross_Ashby" class="mw-redirect" title="William Ross Ashby">Ashby</a>, examining a box that has fallen from a <a href="/wiki/Flying_saucer" title="Flying saucer">flying saucer</a> might lead to this protocol:<sup id="cite_ref-ash56_6-1" class="reference"><a href="#cite_note-ash56-6"><span class="cite-bracket">&#91;</span>6<span class="cite-bracket">&#93;</span></a></sup> </p> <table class="wikitable"> <tbody><tr> <th>Time </th> <th>States of input and output </th></tr> <tr> <td>11:18 </td> <td>I did nothing—the Box emitted a steady hum at 240&#160;Hz. </td></tr> <tr> <td>11:19 </td> <td>I pushed over the switch marked K: the note rose to 480&#160;Hz and remained steady. </td></tr> <tr> <td>11:20 </td> <td>I accidentally pushed the button marked “!”—the Box increased in temperature by 20&#160;°C. </td></tr> <tr> <td>... </td> <td>Etc. </td></tr></tbody></table><p>Thus, every system, fundamentally, is investigated by the collection of a long protocol, drawn out in time, showing the sequence of input and output states. From this there follows the fundamental deduction that all knowledge obtainable from a Black Box (of given input and output) is such as can be obtained by re-coding the protocol (the <i>observation table</i>); all that, and nothing more.<sup id="cite_ref-ash56_6-2" class="reference"><a href="#cite_note-ash56-6"><span class="cite-bracket">&#91;</span>6<span class="cite-bracket">&#93;</span></a></sup> </p><p>If the observer also controls input, the investigation turns into an <a href="/wiki/Experiment" title="Experiment">experiment</a> (illustration), and hypotheses about <a href="/wiki/Causality" title="Causality">cause and effect</a> can be tested directly. </p><p>When the experimenter is also motivated to control the box, there is active feedback in the box/observer relation, promoting what in <a href="/wiki/Control_system" title="Control system">control theory</a> is called a <a href="/wiki/Feed_forward_(control)" title="Feed forward (control)">feed forward</a> architecture. </p> <div class="mw-heading mw-heading3"><h3 id="Modeling">Modeling</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Black_box&amp;action=edit&amp;section=4" title="Edit section: Modeling"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1251242444">.mw-parser-output .ambox{border:1px solid #a2a9b1;border-left:10px solid #36c;background-color:#fbfbfb;box-sizing:border-box}.mw-parser-output .ambox+link+.ambox,.mw-parser-output .ambox+link+style+.ambox,.mw-parser-output .ambox+link+link+.ambox,.mw-parser-output .ambox+.mw-empty-elt+link+.ambox,.mw-parser-output .ambox+.mw-empty-elt+link+style+.ambox,.mw-parser-output .ambox+.mw-empty-elt+link+link+.ambox{margin-top:-1px}html body.mediawiki .mw-parser-output .ambox.mbox-small-left{margin:4px 1em 4px 0;overflow:hidden;width:238px;border-collapse:collapse;font-size:88%;line-height:1.25em}.mw-parser-output .ambox-speedy{border-left:10px solid #b32424;background-color:#fee7e6}.mw-parser-output .ambox-delete{border-left:10px solid #b32424}.mw-parser-output .ambox-content{border-left:10px solid #f28500}.mw-parser-output .ambox-style{border-left:10px solid #fc3}.mw-parser-output .ambox-move{border-left:10px solid #9932cc}.mw-parser-output .ambox-protection{border-left:10px solid #a2a9b1}.mw-parser-output .ambox .mbox-text{border:none;padding:0.25em 0.5em;width:100%}.mw-parser-output .ambox .mbox-image{border:none;padding:2px 0 2px 0.5em;text-align:center}.mw-parser-output .ambox .mbox-imageright{border:none;padding:2px 0.5em 2px 0;text-align:center}.mw-parser-output .ambox .mbox-empty-cell{border:none;padding:0;width:1px}.mw-parser-output .ambox .mbox-image-div{width:52px}@media(min-width:720px){.mw-parser-output .ambox{margin:0 10%}}@media print{body.ns-0 .mw-parser-output .ambox{display:none!important}}</style><table class="box-Expand_section plainlinks metadata ambox mbox-small-left ambox-content" role="presentation"><tbody><tr><td class="mbox-image"><span typeof="mw:File"><a href="/wiki/File:Wiki_letter_w_cropped.svg" class="mw-file-description"><img alt="[icon]" src="//upload.wikimedia.org/wikipedia/commons/thumb/1/1c/Wiki_letter_w_cropped.svg/20px-Wiki_letter_w_cropped.svg.png" decoding="async" width="20" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/1c/Wiki_letter_w_cropped.svg/30px-Wiki_letter_w_cropped.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/1c/Wiki_letter_w_cropped.svg/40px-Wiki_letter_w_cropped.svg.png 2x" data-file-width="44" data-file-height="31" /></a></span></td><td class="mbox-text"><div class="mbox-text-span">This section <b>needs expansion</b>. You can help by <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Black_box&amp;action=edit&amp;section=">adding to it</a>. <span class="date-container"><i>(<span class="date">June 2019</span>)</i></span></div></td></tr></tbody></table> <p>The <i>modeling process</i> is the construction of a predictive <a href="/wiki/Mathematical_model" title="Mathematical model">mathematical model</a>, using existing historic data (observation table). </p> <div class="mw-heading mw-heading3"><h3 id="Testing_the_black_box_model">Testing the black box model</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Black_box&amp;action=edit&amp;section=5" title="Edit section: Testing the black box model"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1251242444"><table class="box-Expand_section plainlinks metadata ambox mbox-small-left ambox-content" role="presentation"><tbody><tr><td class="mbox-image"><span typeof="mw:File"><a href="/wiki/File:Wiki_letter_w_cropped.svg" class="mw-file-description"><img alt="[icon]" src="//upload.wikimedia.org/wikipedia/commons/thumb/1/1c/Wiki_letter_w_cropped.svg/20px-Wiki_letter_w_cropped.svg.png" decoding="async" width="20" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/1c/Wiki_letter_w_cropped.svg/30px-Wiki_letter_w_cropped.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/1c/Wiki_letter_w_cropped.svg/40px-Wiki_letter_w_cropped.svg.png 2x" data-file-width="44" data-file-height="31" /></a></span></td><td class="mbox-text"><div class="mbox-text-span">This section <b>needs expansion</b>. You can help by <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Black_box&amp;action=edit&amp;section=">adding to it</a>. <span class="date-container"><i>(<span class="date">June 2019</span>)</i></span></div></td></tr></tbody></table> <p>A developed <i>black box model</i> is a validated model when <i><a href="/wiki/Black-box_testing" title="Black-box testing">black-box testing</a></i> methods<sup id="cite_ref-BS7925_10-0" class="reference"><a href="#cite_note-BS7925-10"><span class="cite-bracket">&#91;</span>10<span class="cite-bracket">&#93;</span></a></sup> ensures that it is, based solely on <a href="/wiki/Observation#Science" title="Observation">observable</a> elements. </p><p>With back testing, out of time data is always used when testing the black box model. Data has to be written down before it is pulled for black box inputs. </p> <div class="mw-heading mw-heading2"><h2 id="Other_theories">Other theories</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Black_box&amp;action=edit&amp;section=6" title="Edit section: Other theories"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Hidrograma.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/14/Hidrograma.png/260px-Hidrograma.png" decoding="async" width="260" height="198" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/14/Hidrograma.png/390px-Hidrograma.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/14/Hidrograma.png/520px-Hidrograma.png 2x" data-file-width="615" data-file-height="468" /></a><figcaption>The observed <a href="/wiki/Hydrograph" title="Hydrograph">hydrograph</a> is a graphic of the response of a <a href="/wiki/Drainage_basin" title="Drainage basin">watershed</a> (a blackbox) with its <a href="/wiki/Surface_runoff" title="Surface runoff">runoff</a> (red) to an input of rainfall (blue).</figcaption></figure> <p><i>Black box theories</i> are those theories defined only in terms of their function.<sup id="cite_ref-11" class="reference"><a href="#cite_note-11"><span class="cite-bracket">&#91;</span>11<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-CP_12-0" class="reference"><a href="#cite_note-CP-12"><span class="cite-bracket">&#91;</span>12<span class="cite-bracket">&#93;</span></a></sup> The term can be applied in any field where some inquiry is made into the relations between aspects of the appearance of a system (exterior of the black box), with no attempt made to explain why those relations should exist (interior of the black box). In this context, <a href="/wiki/Newton%27s_theory_of_gravitation" class="mw-redirect" title="Newton&#39;s theory of gravitation">Newton's theory of gravitation</a> can be described as a black box theory.<sup id="cite_ref-13" class="reference"><a href="#cite_note-13"><span class="cite-bracket">&#91;</span>13<span class="cite-bracket">&#93;</span></a></sup> </p><p>Specifically, the inquiry is focused upon a system that has no immediately apparent characteristics and therefore has only factors for consideration held within itself hidden from immediate observation. The observer is assumed ignorant in the first instance as the majority of available <a href="/wiki/Data" title="Data">data</a> is held in an inner situation away from <a href="https://en.wiktionary.org/wiki/facile" class="extiw" title="wikt:facile">facile</a> investigations. The <i>black box</i> element of the definition is shown as being characterised by a system where observable elements enter a perhaps imaginary box with a set of different outputs emerging which are also observable.<sup id="cite_ref-GBB_1_14-0" class="reference"><a href="#cite_note-GBB_1-14"><span class="cite-bracket">&#91;</span>14<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Adoption_in_humanities">Adoption in humanities</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Black_box&amp;action=edit&amp;section=7" title="Edit section: Adoption in humanities"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>In <a href="/wiki/Humanities" title="Humanities">humanities disciplines</a> such as <a href="/wiki/Philosophy_of_mind" title="Philosophy of mind">philosophy of mind</a> and <a href="/wiki/Behaviorism" title="Behaviorism">behaviorism</a>, one of the uses of black box theory is to describe and understand <a href="/wiki/Psychological" class="mw-redirect" title="Psychological">psychological</a> factors in fields such as marketing when applied to an analysis of <a href="/wiki/Consumer_behaviour" title="Consumer behaviour">consumer behaviour</a>.<sup id="cite_ref-15" class="reference"><a href="#cite_note-15"><span class="cite-bracket">&#91;</span>15<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-16" class="reference"><a href="#cite_note-16"><span class="cite-bracket">&#91;</span>16<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-17" class="reference"><a href="#cite_note-17"><span class="cite-bracket">&#91;</span>17<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Black_box_theory">Black box theory</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Black_box&amp;action=edit&amp;section=8" title="Edit section: Black box theory"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1251242444"><table class="box-Expand_section plainlinks metadata ambox mbox-small-left ambox-content" role="presentation"><tbody><tr><td class="mbox-image"><span typeof="mw:File"><a href="/wiki/File:Wiki_letter_w_cropped.svg" class="mw-file-description"><img alt="[icon]" src="//upload.wikimedia.org/wikipedia/commons/thumb/1/1c/Wiki_letter_w_cropped.svg/20px-Wiki_letter_w_cropped.svg.png" decoding="async" width="20" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/1c/Wiki_letter_w_cropped.svg/30px-Wiki_letter_w_cropped.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/1c/Wiki_letter_w_cropped.svg/40px-Wiki_letter_w_cropped.svg.png 2x" data-file-width="44" data-file-height="31" /></a></span></td><td class="mbox-text"><div class="mbox-text-span">This section <b>needs expansion</b>. You can help by <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Black_box&amp;action=edit&amp;section=">adding to it</a>. <span class="date-container"><i>(<span class="date">June 2019</span>)</i></span></div></td></tr></tbody></table> <p><i>Black Box theory</i> is even wider in application than professional studies: </p> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1244412712"><blockquote class="templatequote"><p>The child who tries to open a door has to manipulate the handle (the input) so as to produce the desired movement at the latch (the output); and he has to learn how to control the one by the other without being able to see the internal mechanism that links them. In our daily lives we are confronted at every turn with systems whose internal mechanisms are not fully open to inspection, and which must be treated by the methods appropriate to the Black Box.</p><div class="templatequotecite">—&#8202;<cite>Ashby<sup id="cite_ref-ash56_6-3" class="reference"><a href="#cite_note-ash56-6"><span class="cite-bracket">&#91;</span>6<span class="cite-bracket">&#93;</span></a></sup></cite></div></blockquote> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1244412712"><blockquote class="templatequote"><p>(...) This simple rule proved very effective and is an illustration of how the Black Box principle in cybernetics can be used to control situations that, if gone into deeply, may seem very complex. <br />A further example of the Black Box principle is the treatment of mental patients. The human brain is certainly a Black Box, and while a great deal of neurological research is going on to understand the mechanism of the brain, progress in treatment is also being made by observing patients' responses to stimuli.</p><div class="templatequotecite">—&#8202;<cite>Duckworth, Gear and Lockett<sup id="cite_ref-18" class="reference"><a href="#cite_note-18"><span class="cite-bracket">&#91;</span>18<span class="cite-bracket">&#93;</span></a></sup></cite></div></blockquote> <div class="mw-heading mw-heading2"><h2 id="Applications">Applications</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Black_box&amp;action=edit&amp;section=9" title="Edit section: Applications"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure typeof="mw:File/Thumb"><a href="/wiki/File:Blackbox3D-obs.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/35/Blackbox3D-obs.png/252px-Blackbox3D-obs.png" decoding="async" width="252" height="167" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/35/Blackbox3D-obs.png/378px-Blackbox3D-obs.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/35/Blackbox3D-obs.png/504px-Blackbox3D-obs.png 2x" data-file-width="600" data-file-height="398" /></a><figcaption>When the observer (an <a href="/wiki/Multi-agent_system" title="Multi-agent system">agent</a>) can also do some stimulus (input), the relation with the black box is not only an observation, but an <a href="/wiki/Experiment" title="Experiment">experiment</a>.</figcaption></figure> <div class="mw-heading mw-heading3"><h3 id="Computing_and_mathematics">Computing and mathematics</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Black_box&amp;action=edit&amp;section=10" title="Edit section: Computing and mathematics"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>In <a href="/wiki/Computer_programming" title="Computer programming">computer programming</a> and <a href="/wiki/Software_engineering" title="Software engineering">software engineering</a>, <i><a href="/wiki/Black_box_testing" class="mw-redirect" title="Black box testing">black box testing</a></i> is used to check that the output of a program is as expected, given certain inputs.<sup id="cite_ref-19" class="reference"><a href="#cite_note-19"><span class="cite-bracket">&#91;</span>19<span class="cite-bracket">&#93;</span></a></sup> The term "black box" is used because the actual program being executed is not examined.</li> <li>In <a href="/wiki/Computing" title="Computing">computing</a> in general, a <i>black box program</i> is one where the user cannot see the inner workings (perhaps because it is a <a href="/wiki/Closed_source" class="mw-redirect" title="Closed source">closed source</a> program) or one which has no side effects and the function of which need not be examined, a routine suitable for re-use.</li> <li>Also in <a href="/wiki/Computing" title="Computing">computing</a>, a black box refers to a piece of equipment provided by a vendor for the purpose of using that vendor's product. It is often the case that the vendor maintains and supports this equipment, and the company receiving the black box typically is hands-off.</li> <li>In <a href="/wiki/Mathematical_model" title="Mathematical model">mathematical modeling</a>, a limiting case.</li></ul> <div class="mw-heading mw-heading3"><h3 id="Science_and_technology">Science and technology</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Black_box&amp;action=edit&amp;section=11" title="Edit section: Science and technology"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>In <a href="/wiki/Neural_network" title="Neural network">neural networking</a> or <a href="/wiki/Heuristic_algorithm" class="mw-redirect" title="Heuristic algorithm">heuristic algorithms</a> (computer terms generally used to describe "learning" computers or "AI simulations"), a black box is used to describe the constantly changing section of the program environment which cannot easily be tested by the programmers. This is also called a <a href="/wiki/White_box_(software_engineering)" title="White box (software engineering)">white box</a> in the context that the program code can be seen, but the code is so complex that it is functionally equivalent to a black box.</li> <li>In <a href="/wiki/Physics" title="Physics">physics</a>, a black box is a system whose internal structure is unknown, or need not be considered for a particular purpose.</li> <li>In <a href="/wiki/Cryptography" title="Cryptography">cryptography</a> to capture the notion of knowledge obtained by an algorithm through the execution of a <a href="/wiki/Cryptographic_protocol" title="Cryptographic protocol">cryptographic protocol</a> such as a <a href="/wiki/Zero-knowledge_proof" title="Zero-knowledge proof">zero-knowledge proof</a> protocol. If the output of an algorithm when interacting with the protocol matches that of a simulator given some inputs, it only needs to know the inputs.</li></ul> <div class="mw-heading mw-heading3"><h3 id="Other_applications">Other applications</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Black_box&amp;action=edit&amp;section=12" title="Edit section: Other applications"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>In <a href="/wiki/Philosophy" title="Philosophy">philosophy</a> and <a href="/wiki/Psychology" title="Psychology">psychology</a>, the school of <a href="/wiki/Behaviorism" title="Behaviorism">behaviorism</a> sees the human <a href="/wiki/Mind" title="Mind">mind</a> as a black box;<sup id="cite_ref-FriSil06_20-0" class="reference"><a href="#cite_note-FriSil06-20"><span class="cite-bracket">&#91;</span>20<span class="cite-bracket">&#93;</span></a></sup> see <i><a href="#Other_theories">other theories</a></i>.</li></ul> <div class="mw-heading mw-heading2"><h2 id="See_also">See also</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Black_box&amp;action=edit&amp;section=13" title="Edit section: See also"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1184024115">.mw-parser-output .div-col{margin-top:0.3em;column-width:30em}.mw-parser-output .div-col-small{font-size:90%}.mw-parser-output .div-col-rules{column-rule:1px solid #aaa}.mw-parser-output .div-col dl,.mw-parser-output .div-col ol,.mw-parser-output .div-col ul{margin-top:0}.mw-parser-output .div-col li,.mw-parser-output .div-col dd{page-break-inside:avoid;break-inside:avoid-column}</style><div class="div-col"> <ul><li><a href="/wiki/Black_box_group" title="Black box group">Black box group</a></li> <li><a href="/wiki/Blackboxing" title="Blackboxing">Blackboxing</a></li> <li><a href="/wiki/Flight_recorder" title="Flight recorder">Flight recorder</a></li> <li><a href="/wiki/Grey_box_model" title="Grey box model">Grey box model</a></li> <li><a href="/wiki/Hysteresis" title="Hysteresis">Hysteresis</a></li> <li><i>Open system</i>: <ul><li><a href="/wiki/Open_system_(systems_theory)" title="Open system (systems theory)">in (general) Systems theory</a></li> <li><a href="/wiki/Thermodynamic_system#Open_system" title="Thermodynamic system">in Thermodynamics</a></li> <li><a href="/wiki/Feed_forward_(control)#Overview" title="Feed forward (control)">in Control theory</a></li></ul></li> <li><a href="/wiki/Multi-agent_system" title="Multi-agent system">Multi-agent system</a></li> <li><a href="/wiki/Prediction" title="Prediction">Prediction</a>/<a href="/wiki/Retrodiction" title="Retrodiction">Retrodiction</a></li> <li>Related theories <ul><li><a href="/wiki/Oracle_machine" title="Oracle machine">Oracle machine</a></li> <li><a href="/wiki/Pattern_recognition" title="Pattern recognition">Pattern recognition</a></li> <li><a href="/wiki/Systems_theory" title="Systems theory">Systems theory</a></li> <li><a href="/wiki/Signal_processing" title="Signal processing">Signal processing</a></li></ul></li> <li><a href="/wiki/System_identification" title="System identification">System identification</a></li> <li><a href="/wiki/Stimulus%E2%80%93response_model" title="Stimulus–response model">Stimulus–response model</a></li></ul> </div> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Black_box&amp;action=edit&amp;section=14" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <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 mw-references-columns"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-1">^</a></b></span> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles:r1238218222">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><cite id="CITEREFBunge1963" class="citation journal cs1">Bunge, Mario (October 1963). <a rel="nofollow" class="external text" href="https://www.cambridge.org/core/journals/philosophy-of-science/article/abs/general-black-box-theory/B7494E2DB8AF8C9C666B67D0DAEDE6E3">"A General Black Box Theory"</a>. <i>Philosophy of Science</i>. <b>30</b> (4): 346–358. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1086%2F287954">10.1086/287954</a>. <a href="/wiki/ISSN_(identifier)" class="mw-redirect" title="ISSN (identifier)">ISSN</a>&#160;<a rel="nofollow" class="external text" href="https://search.worldcat.org/issn/0031-8248">0031-8248</a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.jtitle=Philosophy+of+Science&amp;rft.atitle=A+General+Black+Box+Theory&amp;rft.volume=30&amp;rft.issue=4&amp;rft.pages=346-358&amp;rft.date=1963-10&amp;rft_id=info%3Adoi%2F10.1086%2F287954&amp;rft.issn=0031-8248&amp;rft.aulast=Bunge&amp;rft.aufirst=Mario&amp;rft_id=https%3A%2F%2Fwww.cambridge.org%2Fcore%2Fjournals%2Fphilosophy-of-science%2Farticle%2Fabs%2Fgeneral-black-box-theory%2FB7494E2DB8AF8C9C666B67D0DAEDE6E3&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABlack+box" class="Z3988"></span></span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-2">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFHaskel-Ittah2023" class="citation journal cs1">Haskel-Ittah, Michal (April 2023). <a rel="nofollow" class="external text" href="https://doi.org/10.1002%2Ftea.21817">"Explanatory black boxes and mechanistic reasoning"</a>. <i>Journal of Research in Science Teaching</i>. <b>60</b> (4): 915–933. <a href="/wiki/Bibcode_(identifier)" class="mw-redirect" title="Bibcode (identifier)">Bibcode</a>:<a rel="nofollow" class="external text" href="https://ui.adsabs.harvard.edu/abs/2023JRScT..60..915H">2023JRScT..60..915H</a>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://doi.org/10.1002%2Ftea.21817">10.1002/tea.21817</a></span>. <a href="/wiki/ISSN_(identifier)" class="mw-redirect" title="ISSN (identifier)">ISSN</a>&#160;<a rel="nofollow" class="external text" href="https://search.worldcat.org/issn/0022-4308">0022-4308</a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.jtitle=Journal+of+Research+in+Science+Teaching&amp;rft.atitle=Explanatory+black+boxes+and+mechanistic+reasoning&amp;rft.volume=60&amp;rft.issue=4&amp;rft.pages=915-933&amp;rft.date=2023-04&amp;rft.issn=0022-4308&amp;rft_id=info%3Adoi%2F10.1002%2Ftea.21817&amp;rft_id=info%3Abibcode%2F2023JRScT..60..915H&amp;rft.aulast=Haskel-Ittah&amp;rft.aufirst=Michal&amp;rft_id=https%3A%2F%2Fdoi.org%2F10.1002%252Ftea.21817&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABlack+box" class="Z3988"></span></span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-3">^</a></b></span> <span class="reference-text">Cauer, Wilhelm; <i>Theorie der linearen Wechselstromschaltungen</i>, <b>Vol.I</b>, Akademische Verlags-Gesellschaft Becker und Erler, Leipzig, 1941.</span> </li> <li id="cite_note-4"><span class="mw-cite-backlink"><b><a href="#cite_ref-4">^</a></b></span> <span class="reference-text">Cauer, Emil; Mathis, Wolfgang; and Pauli, Rainer; "Life and Work of Wilhelm Cauer (1900&#160;– 1945)", <i>Proceedings of the Fourteenth International Symposium of Mathematical Theory of Networks and Systems (MTNS2000)</i>, p4, Perpignan, June, 2000. <a rel="nofollow" class="external text" href="http://www.cs.princeton.edu/courses/archive/fall03/cs323/links/cauer.pdf">Retrieved online</a> 19 September 2008.</span> </li> <li id="cite_note-5"><span class="mw-cite-backlink"><b><a href="#cite_ref-5">^</a></b></span> <span class="reference-text">Belevitch, Vitold; "Summary of the history of circuit theory", <i>Proceedings of the IRE</i>, <b>vol 50</b>, Iss 5, pp. 848-855, May 1962.</span> </li> <li id="cite_note-ash56-6"><span class="mw-cite-backlink">^ <a href="#cite_ref-ash56_6-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-ash56_6-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-ash56_6-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-ash56_6-3"><sup><i><b>d</b></i></sup></a></span> <span class="reference-text">Ashby, W. Ross; <i>An introduction to cybernetics</i>, London: Chapman &amp; Hall, 1956, chapter 6: <i>The black box</i>, pp. 86–117.</span> </li> <li id="cite_note-7"><span class="mw-cite-backlink"><b><a href="#cite_ref-7">^</a></b></span> <span class="reference-text">Wiener, Norbert; <i>Cybernetics: or the Control and Communication in the Animal and the Machine</i>, <a href="/wiki/MIT_Press" title="MIT Press">MIT Press</a>, 1961, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/0-262-73009-X" title="Special:BookSources/0-262-73009-X">0-262-73009-X</a>, page xi</span> </li> <li id="cite_note-Bunge63-8"><span class="mw-cite-backlink">^ <a href="#cite_ref-Bunge63_8-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-Bunge63_8-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text">Bunge, Mario; "A general black-box theory", Philosophy of Science, Vol. 30, No. 4, 1963, pp. 346-358. <a rel="nofollow" class="external text" href="https://www.jstor.org/pss/186066">jstor/186066</a></span> </li> <li id="cite_note-gla09-9"><span class="mw-cite-backlink"><b><a href="#cite_ref-gla09_9-0">^</a></b></span> <span class="reference-text">Glanville, Ranulph; "Black Boxes", Cybernetics and Human Knowing, 2009, pp. 153-167.</span> </li> <li id="cite_note-BS7925-10"><span class="mw-cite-backlink"><b><a href="#cite_ref-BS7925_10-0">^</a></b></span> <span class="reference-text">See for ex. the British standard BS 7925-2 (Software component testing), or its 2001 work draft,<br />BCS SIGIST (British Computer Society Specialist Interest Group in Software Testing), "Standard for Software Component Testing", Working Draft 3.4, 27 April 2001 <a rel="nofollow" class="external text" href="http://www.testingstandards.co.uk/bs_7925-2.htm">webpage</a>.</span> </li> <li id="cite_note-11"><span class="mw-cite-backlink"><b><a href="#cite_ref-11">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.answers.com/topic/black-box-theory">Definition from Answers.com</a></span> </li> <li id="cite_note-CP-12"><span class="mw-cite-backlink"><b><a href="#cite_ref-CP_12-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFClara1963" class="citation journal cs1">Clara, Parker (1963). <a rel="nofollow" class="external text" href="https://www.journals.uchicago.edu/doi/abs/10.1086/287954?journalCode=phos">"A General Black Box Theory"</a>. <i>Philosophy of Science</i>. <b>30</b> (4). Mario Bunge: 346–358. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1086%2F287954">10.1086/287954</a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a>&#160;<a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:123014360">123014360</a><span class="reference-accessdate">. Retrieved <span class="nowrap">23 December</span> 2020</span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.jtitle=Philosophy+of+Science&amp;rft.atitle=A+General+Black+Box+Theory&amp;rft.volume=30&amp;rft.issue=4&amp;rft.pages=346-358&amp;rft.date=1963&amp;rft_id=info%3Adoi%2F10.1086%2F287954&amp;rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A123014360%23id-name%3DS2CID&amp;rft.aulast=Clara&amp;rft.aufirst=Parker&amp;rft_id=https%3A%2F%2Fwww.journals.uchicago.edu%2Fdoi%2Fabs%2F10.1086%2F287954%3FjournalCode%3Dphos&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABlack+box" class="Z3988"></span></span> </li> <li id="cite_note-13"><span class="mw-cite-backlink"><b><a href="#cite_ref-13">^</a></b></span> <span class="reference-text">Vincent Wilmot, <a rel="nofollow" class="external text" href="http://www.new-science-theory.com/isaac-newton.html">"Sir Isaac Newton - mathematical laws Black Box theory"</a>, new-science-theory.com, retrieved 13 October 2022.</span> </li> <li id="cite_note-GBB_1-14"><span class="mw-cite-backlink"><b><a href="#cite_ref-GBB_1_14-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFBunge,_M.1963" class="citation journal cs1">Bunge, M. (1963). <a rel="nofollow" class="external text" href="https://www.jstor.org/stable/186066">"A General Black Box Theory"</a>. <i><a href="/wiki/Philosophy_of_Science" class="mw-redirect" title="Philosophy of Science">Philosophy of Science</a></i>. <b>30</b> (4): 346–358. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1086%2F287954">10.1086/287954</a>. <a href="/wiki/JSTOR_(identifier)" class="mw-redirect" title="JSTOR (identifier)">JSTOR</a>&#160;<a rel="nofollow" class="external text" href="https://www.jstor.org/stable/186066">186066</a><span class="reference-accessdate">. Retrieved <span class="nowrap">8 January</span> 2024</span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.jtitle=Philosophy+of+Science&amp;rft.atitle=A+General+Black+Box+Theory&amp;rft.volume=30&amp;rft.issue=4&amp;rft.pages=346-358&amp;rft.date=1963&amp;rft_id=info%3Adoi%2F10.1086%2F287954&amp;rft_id=https%3A%2F%2Fwww.jstor.org%2Fstable%2F186066%23id-name%3DJSTOR&amp;rft.au=Bunge%2C+M.&amp;rft_id=https%3A%2F%2Fwww.jstor.org%2Fstable%2F186066&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ABlack+box" class="Z3988"></span></span> </li> <li id="cite_note-15"><span class="mw-cite-backlink"><b><a href="#cite_ref-15">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.marcbowles.com/courses/adv_dip/module12/chapter4/amc12_ch4_two.htm">Institute for working futures</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20120626014001/http://www.marcbowles.com/courses/adv_dip/module12/chapter4/amc12_ch4_two.htm">Archived</a> 26 June 2012 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a> part of Advanced Diploma in Logistics and Management. Retrieved 11/09/2011</span> </li> <li id="cite_note-16"><span class="mw-cite-backlink"><b><a href="#cite_ref-16">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="https://books.google.com/books?id=8qlKaIq0AccC">Black-box theory used to understand Consumer behaviour</a> Marketing By Richard L. Sandhusen. Retrieved 11/09/2011</span> </li> <li id="cite_note-17"><span class="mw-cite-backlink"><b><a href="#cite_ref-17">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://designshack.co.uk/articles/business-articles/using-the-black-box-model-to-design-better-websites/">designing of websites</a> Retrieved 11/09/2011</span> </li> <li id="cite_note-18"><span class="mw-cite-backlink"><b><a href="#cite_ref-18">^</a></b></span> <span class="reference-text">WE Duckworth, AE Gear and AG Lockett (1977), "A Guide to Operational Research". <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1007%2F978-94-011-6910-3">10.1007/978-94-011-6910-3</a></span> </li> <li id="cite_note-19"><span class="mw-cite-backlink"><b><a href="#cite_ref-19">^</a></b></span> <span 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