CINXE.COM
Research – Research, musings, and more
<!DOCTYPE html> <html lang="en"> <head> <meta charset="UTF-8"> <meta name="viewport" content="width=device-width, initial-scale=1"> <link rel="profile" href="http://gmpg.org/xfn/11"> <link rel="pingback" href="https://mayurisrao.wordpress.com/xmlrpc.php"> <title>Research – Research, musings, and more</title> <script type="text/javascript"> WebFontConfig = {"google":{"families":["Anonymous+Pro:r:latin,latin-ext","Exo+2:r,i,b,bi:latin,latin-ext"]},"api_url":"https:\/\/fonts-api.wp.com\/css"}; (function() { var wf = document.createElement('script'); wf.src = 'https://s0.wp.com/wp-content/plugins/custom-fonts/js/webfont.js'; wf.type = 'text/javascript'; wf.async = 'true'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(wf, s); })(); </script><style id="jetpack-custom-fonts-css">.wf-active body, .wf-active button, .wf-active input, .wf-active select, .wf-active textarea{font-family:"Exo 2",sans-serif}.wf-active .hentry div.sd-rating h3.sd-title, .wf-active .hentry div.sharedaddy h3.sd-title{font-family:"Exo 2",sans-serif}.wf-active .site-title, .wf-active h1, .wf-active h2:not([class^="gr_custom_header"]), .wf-active h3:not(.sd-title), .wf-active h4, .wf-active h5, .wf-active h6{font-family:"Anonymous Pro",monospace;font-weight:400;font-style:normal}.wf-active .entry-title, .wf-active .page-title, .wf-active h1{font-style:normal;font-weight:400}.wf-active h2:not([class^="gr_custom_header"]){font-style:normal;font-weight:400}.wf-active .site-title, .wf-active h3:not(.sd-title){font-style:normal;font-weight:400}.wf-active .comment-reply-title, .wf-active .comments-title, .wf-active .no-comments, .wf-active .widget-title, .wf-active .widgettitle, .wf-active h4{font-style:normal;font-weight:400}.wf-active .comment-reply-title small, .wf-active h5{font-style:normal;font-weight:400}.wf-active h6{font-style:normal;font-weight:400}.wf-active .page-header span{font-style:normal;font-weight:400}.wf-active .no-comments{font-weight:400;font-style:normal}.wf-active .comment-reply-title small{font-weight:400;font-style:normal}.wf-active .project-info .entry-title{font-style:normal;font-weight:400}.wf-active .hentry div#jp-relatedposts h3.jp-relatedposts-headline{font-weight:400;font-style:normal}.wf-active .widget_jetpack_display_posts_widget .jetpack-display-remote-posts h4{font-style:normal;font-weight:400}.wf-active .widget_jetpack_display_posts_widget .jetpack-display-remote-posts h4 a{font-weight:400;font-style:normal}</style> <meta name='robots' content='max-image-preview:large' /> <link rel='dns-prefetch' href='//s1.wp.com' /> <link rel='dns-prefetch' href='//s2.wp.com' /> <link rel='dns-prefetch' href='//s0.wp.com' /> <link rel='dns-prefetch' href='//wordpress.com' /> <link rel='dns-prefetch' href='//fonts-api.wp.com' /> <link rel='dns-prefetch' href='//af.pubmine.com' /> <link rel='dns-prefetch' href='//s.pubmine.com' /> <link rel='dns-prefetch' href='//x.bidswitch.net' /> <link rel='dns-prefetch' href='//static.criteo.net' /> <link rel='dns-prefetch' href='//ib.adnxs.com' /> <link rel='dns-prefetch' href='//aax.amazon-adsystem.com' /> <link rel='dns-prefetch' href='//bidder.criteo.com' /> <link rel='dns-prefetch' href='//cas.criteo.com' /> <link rel='dns-prefetch' href='//gum.criteo.com' /> <link rel='dns-prefetch' href='//ads.pubmatic.com' /> <link rel='dns-prefetch' href='//gads.pubmatic.com' /> <link rel='dns-prefetch' href='//tpc.googlesyndication.com' /> <link rel='dns-prefetch' href='//ad.doubleclick.net' /> <link rel='dns-prefetch' href='//googleads.g.doubleclick.net' /> <link rel='dns-prefetch' href='//www.googletagservices.com' /> <link rel='dns-prefetch' href='//cdn.switchadhub.com' /> <link rel='dns-prefetch' href='//delivery.g.switchadhub.com' /> <link rel='dns-prefetch' href='//delivery.swid.switchadhub.com' /> <link rel='dns-prefetch' href='//a.teads.tv' /> <link rel='dns-prefetch' href='//prebid.media.net' /> <link rel='dns-prefetch' href='//adserver-us.adtech.advertising.com' /> <link rel='dns-prefetch' href='//fastlane.rubiconproject.com' /> <link rel='dns-prefetch' href='//prebid-server.rubiconproject.com' /> <link rel='dns-prefetch' href='//hb-api.omnitagjs.com' /> <link rel='dns-prefetch' href='//mtrx.go.sonobi.com' /> <link rel='dns-prefetch' href='//apex.go.sonobi.com' /> <link rel='dns-prefetch' href='//u.openx.net' /> <link rel="alternate" type="application/rss+xml" title="Research, musings, and more » Feed" href="https://mayurisrao.wordpress.com/feed/" /> <link rel="alternate" type="application/rss+xml" title="Research, musings, and more » Comments Feed" href="https://mayurisrao.wordpress.com/comments/feed/" /> <script type="text/javascript"> /* <![CDATA[ */ function addLoadEvent(func) { var oldonload = window.onload; if (typeof window.onload != 'function') { window.onload = func; } else { window.onload = function () { oldonload(); func(); } } } /* ]]> */ </script> <script type="text/javascript"> /* <![CDATA[ */ window._wpemojiSettings = {"baseUrl":"https:\/\/s0.wp.com\/wp-content\/mu-plugins\/wpcom-smileys\/twemoji\/2\/72x72\/","ext":".png","svgUrl":"https:\/\/s0.wp.com\/wp-content\/mu-plugins\/wpcom-smileys\/twemoji\/2\/svg\/","svgExt":".svg","source":{"concatemoji":"https:\/\/s2.wp.com\/wp-includes\/js\/wp-emoji-release.min.js?m=1719498190i&ver=6.7.2-RC1-59780"}}; /*! This file is auto-generated */ !function(i,n){var o,s,e;function c(e){try{var t={supportTests:e,timestamp:(new Date).valueOf()};sessionStorage.setItem(o,JSON.stringify(t))}catch(e){}}function p(e,t,n){e.clearRect(0,0,e.canvas.width,e.canvas.height),e.fillText(t,0,0);var t=new Uint32Array(e.getImageData(0,0,e.canvas.width,e.canvas.height).data),r=(e.clearRect(0,0,e.canvas.width,e.canvas.height),e.fillText(n,0,0),new Uint32Array(e.getImageData(0,0,e.canvas.width,e.canvas.height).data));return t.every(function(e,t){return e===r[t]})}function u(e,t,n){switch(t){case"flag":return n(e,"\ud83c\udff3\ufe0f\u200d\u26a7\ufe0f","\ud83c\udff3\ufe0f\u200b\u26a7\ufe0f")?!1:!n(e,"\ud83c\uddfa\ud83c\uddf3","\ud83c\uddfa\u200b\ud83c\uddf3")&&!n(e,"\ud83c\udff4\udb40\udc67\udb40\udc62\udb40\udc65\udb40\udc6e\udb40\udc67\udb40\udc7f","\ud83c\udff4\u200b\udb40\udc67\u200b\udb40\udc62\u200b\udb40\udc65\u200b\udb40\udc6e\u200b\udb40\udc67\u200b\udb40\udc7f");case"emoji":return!n(e,"\ud83d\udc26\u200d\u2b1b","\ud83d\udc26\u200b\u2b1b")}return!1}function f(e,t,n){var r="undefined"!=typeof WorkerGlobalScope&&self instanceof WorkerGlobalScope?new OffscreenCanvas(300,150):i.createElement("canvas"),a=r.getContext("2d",{willReadFrequently:!0}),o=(a.textBaseline="top",a.font="600 32px Arial",{});return e.forEach(function(e){o[e]=t(a,e,n)}),o}function t(e){var t=i.createElement("script");t.src=e,t.defer=!0,i.head.appendChild(t)}"undefined"!=typeof Promise&&(o="wpEmojiSettingsSupports",s=["flag","emoji"],n.supports={everything:!0,everythingExceptFlag:!0},e=new Promise(function(e){i.addEventListener("DOMContentLoaded",e,{once:!0})}),new Promise(function(t){var n=function(){try{var e=JSON.parse(sessionStorage.getItem(o));if("object"==typeof e&&"number"==typeof e.timestamp&&(new Date).valueOf()<e.timestamp+604800&&"object"==typeof e.supportTests)return e.supportTests}catch(e){}return null}();if(!n){if("undefined"!=typeof Worker&&"undefined"!=typeof OffscreenCanvas&&"undefined"!=typeof URL&&URL.createObjectURL&&"undefined"!=typeof Blob)try{var e="postMessage("+f.toString()+"("+[JSON.stringify(s),u.toString(),p.toString()].join(",")+"));",r=new Blob([e],{type:"text/javascript"}),a=new Worker(URL.createObjectURL(r),{name:"wpTestEmojiSupports"});return void(a.onmessage=function(e){c(n=e.data),a.terminate(),t(n)})}catch(e){}c(n=f(s,u,p))}t(n)}).then(function(e){for(var t in e)n.supports[t]=e[t],n.supports.everything=n.supports.everything&&n.supports[t],"flag"!==t&&(n.supports.everythingExceptFlag=n.supports.everythingExceptFlag&&n.supports[t]);n.supports.everythingExceptFlag=n.supports.everythingExceptFlag&&!n.supports.flag,n.DOMReady=!1,n.readyCallback=function(){n.DOMReady=!0}}).then(function(){return e}).then(function(){var e;n.supports.everything||(n.readyCallback(),(e=n.source||{}).concatemoji?t(e.concatemoji):e.wpemoji&&e.twemoji&&(t(e.twemoji),t(e.wpemoji)))}))}((window,document),window._wpemojiSettings); /* ]]> */ </script> <link crossorigin='anonymous' rel='stylesheet' id='all-css-0-1' href='https://s1.wp.com/_static/??-eJx9zk0KAjEMBeALWcNIUVyIZ8m0oXSa/jBJGby91Y0OgsvkfXkEtmZcLUpFYeYaTOMeYhHY6urRCwSuM/LRiRzgy+b+kdEHUgHqI60pkmHcQCk3RiUB0QfTvwKOabCFtKFL5j398N1vGddEGkswM64w6H7zOr7n23Sx0/U8naxdnlbSVVo=&cssminify=yes' type='text/css' media='all' /> <style id='wp-emoji-styles-inline-css'> img.wp-smiley, img.emoji { display: inline !important; border: none !important; box-shadow: none !important; height: 1em !important; width: 1em !important; margin: 0 0.07em !important; vertical-align: -0.1em !important; background: none !important; padding: 0 !important; } </style> <link crossorigin='anonymous' rel='stylesheet' id='all-css-2-1' href='https://s2.wp.com/_static/??-eJydzEEOwiAQheELCdMSEtOF8SxAyYSKQGYGDbe37cadC5cvL98P76ZCLRKLQMsdU2HAvk8fCfeHIrzMpCdtwfeUV/C5hofKyZOjASwjRx2YL/AzdCqGLUpzB3ejdlFIaf03QU5SQf7y+/M2X+1slsUYu30AMZRP0A==&cssminify=yes' type='text/css' media='all' /> <style id='wp-block-library-inline-css'> .has-text-align-justify { text-align:justify; } .has-text-align-justify{text-align:justify;} </style> <link crossorigin='anonymous' rel='stylesheet' id='all-css-4-1' href='https://s2.wp.com/_static/??-eJzTLy/QzcxLzilNSS3WzyrWz01NyUxMzUnNTc0rQeEU5CRWphbp5qSmJyZX6uVm5uklFxfr6OPTDpRD5sM02efaGpoZmFkYGRuZGmQBAHPvL0Y=&cssminify=yes' type='text/css' media='all' /> <style id='jetpack-sharing-buttons-style-inline-css'> .jetpack-sharing-buttons__services-list{display:flex;flex-direction:row;flex-wrap:wrap;gap:0;list-style-type:none;margin:5px;padding:0}.jetpack-sharing-buttons__services-list.has-small-icon-size{font-size:12px}.jetpack-sharing-buttons__services-list.has-normal-icon-size{font-size:16px}.jetpack-sharing-buttons__services-list.has-large-icon-size{font-size:24px}.jetpack-sharing-buttons__services-list.has-huge-icon-size{font-size:36px}@media print{.jetpack-sharing-buttons__services-list{display:none!important}}.editor-styles-wrapper .wp-block-jetpack-sharing-buttons{gap:0;padding-inline-start:0}ul.jetpack-sharing-buttons__services-list.has-background{padding:1.25em 2.375em} </style> <link crossorigin='anonymous' rel='stylesheet' id='all-css-6-1' href='https://s2.wp.com/wp-content/plugins/coblocks/2.18.1-simple-rev.4/dist/coblocks-style.css?m=1681832297i&cssminify=yes' type='text/css' media='all' /> <style id='classic-theme-styles-inline-css'> /*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} </style> <link crossorigin='anonymous' rel='stylesheet' id='all-css-8-1' href='https://s1.wp.com/_static/??/wp-content/mu-plugins/core-compat/wp-mediaelement.css,/wp-content/mu-plugins/wpcom-bbpress-premium-themes.css?m=1432920480j&cssminify=yes' type='text/css' media='all' /> <style id='global-styles-inline-css'> :root{--wp--preset--aspect-ratio--square: 1;--wp--preset--aspect-ratio--4-3: 4/3;--wp--preset--aspect-ratio--3-4: 3/4;--wp--preset--aspect-ratio--3-2: 3/2;--wp--preset--aspect-ratio--2-3: 2/3;--wp--preset--aspect-ratio--16-9: 16/9;--wp--preset--aspect-ratio--9-16: 9/16;--wp--preset--color--black: #000000;--wp--preset--color--cyan-bluish-gray: #abb8c3;--wp--preset--color--white: #ffffff;--wp--preset--color--pale-pink: #f78da7;--wp--preset--color--vivid-red: #cf2e2e;--wp--preset--color--luminous-vivid-orange: #ff6900;--wp--preset--color--luminous-vivid-amber: #fcb900;--wp--preset--color--light-green-cyan: #7bdcb5;--wp--preset--color--vivid-green-cyan: #00d084;--wp--preset--color--pale-cyan-blue: #8ed1fc;--wp--preset--color--vivid-cyan-blue: #0693e3;--wp--preset--color--vivid-purple: #9b51e0;--wp--preset--gradient--vivid-cyan-blue-to-vivid-purple: linear-gradient(135deg,rgba(6,147,227,1) 0%,rgb(155,81,224) 100%);--wp--preset--gradient--light-green-cyan-to-vivid-green-cyan: linear-gradient(135deg,rgb(122,220,180) 0%,rgb(0,208,130) 100%);--wp--preset--gradient--luminous-vivid-amber-to-luminous-vivid-orange: linear-gradient(135deg,rgba(252,185,0,1) 0%,rgba(255,105,0,1) 100%);--wp--preset--gradient--luminous-vivid-orange-to-vivid-red: linear-gradient(135deg,rgba(255,105,0,1) 0%,rgb(207,46,46) 100%);--wp--preset--gradient--very-light-gray-to-cyan-bluish-gray: linear-gradient(135deg,rgb(238,238,238) 0%,rgb(169,184,195) 100%);--wp--preset--gradient--cool-to-warm-spectrum: linear-gradient(135deg,rgb(74,234,220) 0%,rgb(151,120,209) 20%,rgb(207,42,186) 40%,rgb(238,44,130) 60%,rgb(251,105,98) 80%,rgb(254,248,76) 100%);--wp--preset--gradient--blush-light-purple: linear-gradient(135deg,rgb(255,206,236) 0%,rgb(152,150,240) 100%);--wp--preset--gradient--blush-bordeaux: linear-gradient(135deg,rgb(254,205,165) 0%,rgb(254,45,45) 50%,rgb(107,0,62) 100%);--wp--preset--gradient--luminous-dusk: linear-gradient(135deg,rgb(255,203,112) 0%,rgb(199,81,192) 50%,rgb(65,88,208) 100%);--wp--preset--gradient--pale-ocean: linear-gradient(135deg,rgb(255,245,203) 0%,rgb(182,227,212) 50%,rgb(51,167,181) 100%);--wp--preset--gradient--electric-grass: linear-gradient(135deg,rgb(202,248,128) 0%,rgb(113,206,126) 100%);--wp--preset--gradient--midnight: linear-gradient(135deg,rgb(2,3,129) 0%,rgb(40,116,252) 100%);--wp--preset--font-size--small: 13px;--wp--preset--font-size--medium: 20px;--wp--preset--font-size--large: 36px;--wp--preset--font-size--x-large: 42px;--wp--preset--font-family--albert-sans: 'Albert Sans', sans-serif;--wp--preset--font-family--alegreya: Alegreya, serif;--wp--preset--font-family--arvo: Arvo, serif;--wp--preset--font-family--bodoni-moda: 'Bodoni Moda', serif;--wp--preset--font-family--bricolage-grotesque: 'Bricolage Grotesque', sans-serif;--wp--preset--font-family--cabin: Cabin, sans-serif;--wp--preset--font-family--chivo: Chivo, sans-serif;--wp--preset--font-family--commissioner: Commissioner, sans-serif;--wp--preset--font-family--cormorant: Cormorant, serif;--wp--preset--font-family--courier-prime: 'Courier Prime', monospace;--wp--preset--font-family--crimson-pro: 'Crimson Pro', serif;--wp--preset--font-family--dm-mono: 'DM Mono', monospace;--wp--preset--font-family--dm-sans: 'DM Sans', sans-serif;--wp--preset--font-family--dm-serif-display: 'DM Serif Display', serif;--wp--preset--font-family--domine: Domine, serif;--wp--preset--font-family--eb-garamond: 'EB Garamond', serif;--wp--preset--font-family--epilogue: Epilogue, sans-serif;--wp--preset--font-family--fahkwang: Fahkwang, sans-serif;--wp--preset--font-family--figtree: Figtree, sans-serif;--wp--preset--font-family--fira-sans: 'Fira Sans', sans-serif;--wp--preset--font-family--fjalla-one: 'Fjalla One', sans-serif;--wp--preset--font-family--fraunces: Fraunces, serif;--wp--preset--font-family--gabarito: Gabarito, system-ui;--wp--preset--font-family--ibm-plex-mono: 'IBM Plex Mono', monospace;--wp--preset--font-family--ibm-plex-sans: 'IBM Plex Sans', sans-serif;--wp--preset--font-family--ibarra-real-nova: 'Ibarra Real Nova', serif;--wp--preset--font-family--instrument-serif: 'Instrument Serif', serif;--wp--preset--font-family--inter: Inter, sans-serif;--wp--preset--font-family--josefin-sans: 'Josefin Sans', sans-serif;--wp--preset--font-family--jost: Jost, sans-serif;--wp--preset--font-family--libre-baskerville: 'Libre Baskerville', serif;--wp--preset--font-family--libre-franklin: 'Libre Franklin', sans-serif;--wp--preset--font-family--literata: Literata, serif;--wp--preset--font-family--lora: Lora, serif;--wp--preset--font-family--merriweather: Merriweather, serif;--wp--preset--font-family--montserrat: Montserrat, sans-serif;--wp--preset--font-family--newsreader: Newsreader, serif;--wp--preset--font-family--noto-sans-mono: 'Noto Sans Mono', sans-serif;--wp--preset--font-family--nunito: Nunito, sans-serif;--wp--preset--font-family--open-sans: 'Open Sans', sans-serif;--wp--preset--font-family--overpass: Overpass, sans-serif;--wp--preset--font-family--pt-serif: 'PT Serif', serif;--wp--preset--font-family--petrona: Petrona, serif;--wp--preset--font-family--piazzolla: Piazzolla, serif;--wp--preset--font-family--playfair-display: 'Playfair Display', serif;--wp--preset--font-family--plus-jakarta-sans: 'Plus Jakarta Sans', sans-serif;--wp--preset--font-family--poppins: Poppins, sans-serif;--wp--preset--font-family--raleway: Raleway, sans-serif;--wp--preset--font-family--roboto: Roboto, sans-serif;--wp--preset--font-family--roboto-slab: 'Roboto Slab', serif;--wp--preset--font-family--rubik: Rubik, sans-serif;--wp--preset--font-family--rufina: Rufina, serif;--wp--preset--font-family--sora: Sora, sans-serif;--wp--preset--font-family--source-sans-3: 'Source Sans 3', sans-serif;--wp--preset--font-family--source-serif-4: 'Source Serif 4', serif;--wp--preset--font-family--space-mono: 'Space Mono', monospace;--wp--preset--font-family--syne: Syne, sans-serif;--wp--preset--font-family--texturina: Texturina, serif;--wp--preset--font-family--urbanist: Urbanist, sans-serif;--wp--preset--font-family--work-sans: 'Work Sans', sans-serif;--wp--preset--spacing--20: 0.44rem;--wp--preset--spacing--30: 0.67rem;--wp--preset--spacing--40: 1rem;--wp--preset--spacing--50: 1.5rem;--wp--preset--spacing--60: 2.25rem;--wp--preset--spacing--70: 3.38rem;--wp--preset--spacing--80: 5.06rem;--wp--preset--shadow--natural: 6px 6px 9px rgba(0, 0, 0, 0.2);--wp--preset--shadow--deep: 12px 12px 50px rgba(0, 0, 0, 0.4);--wp--preset--shadow--sharp: 6px 6px 0px rgba(0, 0, 0, 0.2);--wp--preset--shadow--outlined: 6px 6px 0px -3px rgba(255, 255, 255, 1), 6px 6px rgba(0, 0, 0, 1);--wp--preset--shadow--crisp: 6px 6px 0px rgba(0, 0, 0, 1);}:where(.is-layout-flex){gap: 0.5em;}:where(.is-layout-grid){gap: 0.5em;}body .is-layout-flex{display: flex;}.is-layout-flex{flex-wrap: wrap;align-items: center;}.is-layout-flex > :is(*, div){margin: 0;}body .is-layout-grid{display: grid;}.is-layout-grid > :is(*, div){margin: 0;}:where(.wp-block-columns.is-layout-flex){gap: 2em;}:where(.wp-block-columns.is-layout-grid){gap: 2em;}:where(.wp-block-post-template.is-layout-flex){gap: 1.25em;}:where(.wp-block-post-template.is-layout-grid){gap: 1.25em;}.has-black-color{color: var(--wp--preset--color--black) !important;}.has-cyan-bluish-gray-color{color: var(--wp--preset--color--cyan-bluish-gray) !important;}.has-white-color{color: var(--wp--preset--color--white) !important;}.has-pale-pink-color{color: var(--wp--preset--color--pale-pink) !important;}.has-vivid-red-color{color: var(--wp--preset--color--vivid-red) !important;}.has-luminous-vivid-orange-color{color: var(--wp--preset--color--luminous-vivid-orange) !important;}.has-luminous-vivid-amber-color{color: var(--wp--preset--color--luminous-vivid-amber) !important;}.has-light-green-cyan-color{color: var(--wp--preset--color--light-green-cyan) !important;}.has-vivid-green-cyan-color{color: var(--wp--preset--color--vivid-green-cyan) !important;}.has-pale-cyan-blue-color{color: var(--wp--preset--color--pale-cyan-blue) !important;}.has-vivid-cyan-blue-color{color: var(--wp--preset--color--vivid-cyan-blue) !important;}.has-vivid-purple-color{color: var(--wp--preset--color--vivid-purple) !important;}.has-black-background-color{background-color: var(--wp--preset--color--black) !important;}.has-cyan-bluish-gray-background-color{background-color: var(--wp--preset--color--cyan-bluish-gray) !important;}.has-white-background-color{background-color: var(--wp--preset--color--white) !important;}.has-pale-pink-background-color{background-color: var(--wp--preset--color--pale-pink) !important;}.has-vivid-red-background-color{background-color: var(--wp--preset--color--vivid-red) !important;}.has-luminous-vivid-orange-background-color{background-color: var(--wp--preset--color--luminous-vivid-orange) !important;}.has-luminous-vivid-amber-background-color{background-color: var(--wp--preset--color--luminous-vivid-amber) !important;}.has-light-green-cyan-background-color{background-color: var(--wp--preset--color--light-green-cyan) !important;}.has-vivid-green-cyan-background-color{background-color: var(--wp--preset--color--vivid-green-cyan) !important;}.has-pale-cyan-blue-background-color{background-color: var(--wp--preset--color--pale-cyan-blue) !important;}.has-vivid-cyan-blue-background-color{background-color: var(--wp--preset--color--vivid-cyan-blue) !important;}.has-vivid-purple-background-color{background-color: var(--wp--preset--color--vivid-purple) !important;}.has-black-border-color{border-color: var(--wp--preset--color--black) !important;}.has-cyan-bluish-gray-border-color{border-color: var(--wp--preset--color--cyan-bluish-gray) !important;}.has-white-border-color{border-color: var(--wp--preset--color--white) !important;}.has-pale-pink-border-color{border-color: var(--wp--preset--color--pale-pink) !important;}.has-vivid-red-border-color{border-color: var(--wp--preset--color--vivid-red) !important;}.has-luminous-vivid-orange-border-color{border-color: var(--wp--preset--color--luminous-vivid-orange) !important;}.has-luminous-vivid-amber-border-color{border-color: var(--wp--preset--color--luminous-vivid-amber) !important;}.has-light-green-cyan-border-color{border-color: var(--wp--preset--color--light-green-cyan) !important;}.has-vivid-green-cyan-border-color{border-color: var(--wp--preset--color--vivid-green-cyan) !important;}.has-pale-cyan-blue-border-color{border-color: var(--wp--preset--color--pale-cyan-blue) !important;}.has-vivid-cyan-blue-border-color{border-color: var(--wp--preset--color--vivid-cyan-blue) !important;}.has-vivid-purple-border-color{border-color: var(--wp--preset--color--vivid-purple) !important;}.has-vivid-cyan-blue-to-vivid-purple-gradient-background{background: var(--wp--preset--gradient--vivid-cyan-blue-to-vivid-purple) !important;}.has-light-green-cyan-to-vivid-green-cyan-gradient-background{background: var(--wp--preset--gradient--light-green-cyan-to-vivid-green-cyan) !important;}.has-luminous-vivid-amber-to-luminous-vivid-orange-gradient-background{background: var(--wp--preset--gradient--luminous-vivid-amber-to-luminous-vivid-orange) !important;}.has-luminous-vivid-orange-to-vivid-red-gradient-background{background: var(--wp--preset--gradient--luminous-vivid-orange-to-vivid-red) !important;}.has-very-light-gray-to-cyan-bluish-gray-gradient-background{background: var(--wp--preset--gradient--very-light-gray-to-cyan-bluish-gray) !important;}.has-cool-to-warm-spectrum-gradient-background{background: var(--wp--preset--gradient--cool-to-warm-spectrum) !important;}.has-blush-light-purple-gradient-background{background: var(--wp--preset--gradient--blush-light-purple) !important;}.has-blush-bordeaux-gradient-background{background: var(--wp--preset--gradient--blush-bordeaux) !important;}.has-luminous-dusk-gradient-background{background: var(--wp--preset--gradient--luminous-dusk) !important;}.has-pale-ocean-gradient-background{background: var(--wp--preset--gradient--pale-ocean) !important;}.has-electric-grass-gradient-background{background: var(--wp--preset--gradient--electric-grass) !important;}.has-midnight-gradient-background{background: var(--wp--preset--gradient--midnight) !important;}.has-small-font-size{font-size: var(--wp--preset--font-size--small) !important;}.has-medium-font-size{font-size: var(--wp--preset--font-size--medium) !important;}.has-large-font-size{font-size: var(--wp--preset--font-size--large) !important;}.has-x-large-font-size{font-size: var(--wp--preset--font-size--x-large) !important;}.has-albert-sans-font-family{font-family: var(--wp--preset--font-family--albert-sans) !important;}.has-alegreya-font-family{font-family: var(--wp--preset--font-family--alegreya) !important;}.has-arvo-font-family{font-family: var(--wp--preset--font-family--arvo) !important;}.has-bodoni-moda-font-family{font-family: var(--wp--preset--font-family--bodoni-moda) !important;}.has-bricolage-grotesque-font-family{font-family: var(--wp--preset--font-family--bricolage-grotesque) !important;}.has-cabin-font-family{font-family: var(--wp--preset--font-family--cabin) !important;}.has-chivo-font-family{font-family: var(--wp--preset--font-family--chivo) !important;}.has-commissioner-font-family{font-family: var(--wp--preset--font-family--commissioner) !important;}.has-cormorant-font-family{font-family: var(--wp--preset--font-family--cormorant) !important;}.has-courier-prime-font-family{font-family: var(--wp--preset--font-family--courier-prime) !important;}.has-crimson-pro-font-family{font-family: var(--wp--preset--font-family--crimson-pro) !important;}.has-dm-mono-font-family{font-family: var(--wp--preset--font-family--dm-mono) !important;}.has-dm-sans-font-family{font-family: var(--wp--preset--font-family--dm-sans) !important;}.has-dm-serif-display-font-family{font-family: var(--wp--preset--font-family--dm-serif-display) !important;}.has-domine-font-family{font-family: var(--wp--preset--font-family--domine) !important;}.has-eb-garamond-font-family{font-family: var(--wp--preset--font-family--eb-garamond) !important;}.has-epilogue-font-family{font-family: var(--wp--preset--font-family--epilogue) !important;}.has-fahkwang-font-family{font-family: var(--wp--preset--font-family--fahkwang) !important;}.has-figtree-font-family{font-family: var(--wp--preset--font-family--figtree) !important;}.has-fira-sans-font-family{font-family: var(--wp--preset--font-family--fira-sans) !important;}.has-fjalla-one-font-family{font-family: var(--wp--preset--font-family--fjalla-one) !important;}.has-fraunces-font-family{font-family: var(--wp--preset--font-family--fraunces) !important;}.has-gabarito-font-family{font-family: var(--wp--preset--font-family--gabarito) !important;}.has-ibm-plex-mono-font-family{font-family: var(--wp--preset--font-family--ibm-plex-mono) !important;}.has-ibm-plex-sans-font-family{font-family: var(--wp--preset--font-family--ibm-plex-sans) !important;}.has-ibarra-real-nova-font-family{font-family: var(--wp--preset--font-family--ibarra-real-nova) !important;}.has-instrument-serif-font-family{font-family: var(--wp--preset--font-family--instrument-serif) !important;}.has-inter-font-family{font-family: var(--wp--preset--font-family--inter) !important;}.has-josefin-sans-font-family{font-family: var(--wp--preset--font-family--josefin-sans) !important;}.has-jost-font-family{font-family: var(--wp--preset--font-family--jost) !important;}.has-libre-baskerville-font-family{font-family: var(--wp--preset--font-family--libre-baskerville) !important;}.has-libre-franklin-font-family{font-family: var(--wp--preset--font-family--libre-franklin) !important;}.has-literata-font-family{font-family: var(--wp--preset--font-family--literata) !important;}.has-lora-font-family{font-family: var(--wp--preset--font-family--lora) !important;}.has-merriweather-font-family{font-family: var(--wp--preset--font-family--merriweather) !important;}.has-montserrat-font-family{font-family: var(--wp--preset--font-family--montserrat) !important;}.has-newsreader-font-family{font-family: var(--wp--preset--font-family--newsreader) !important;}.has-noto-sans-mono-font-family{font-family: var(--wp--preset--font-family--noto-sans-mono) !important;}.has-nunito-font-family{font-family: var(--wp--preset--font-family--nunito) !important;}.has-open-sans-font-family{font-family: var(--wp--preset--font-family--open-sans) !important;}.has-overpass-font-family{font-family: var(--wp--preset--font-family--overpass) !important;}.has-pt-serif-font-family{font-family: var(--wp--preset--font-family--pt-serif) !important;}.has-petrona-font-family{font-family: var(--wp--preset--font-family--petrona) !important;}.has-piazzolla-font-family{font-family: var(--wp--preset--font-family--piazzolla) !important;}.has-playfair-display-font-family{font-family: var(--wp--preset--font-family--playfair-display) !important;}.has-plus-jakarta-sans-font-family{font-family: var(--wp--preset--font-family--plus-jakarta-sans) !important;}.has-poppins-font-family{font-family: var(--wp--preset--font-family--poppins) !important;}.has-raleway-font-family{font-family: var(--wp--preset--font-family--raleway) !important;}.has-roboto-font-family{font-family: var(--wp--preset--font-family--roboto) !important;}.has-roboto-slab-font-family{font-family: var(--wp--preset--font-family--roboto-slab) !important;}.has-rubik-font-family{font-family: var(--wp--preset--font-family--rubik) !important;}.has-rufina-font-family{font-family: var(--wp--preset--font-family--rufina) !important;}.has-sora-font-family{font-family: var(--wp--preset--font-family--sora) !important;}.has-source-sans-3-font-family{font-family: var(--wp--preset--font-family--source-sans-3) !important;}.has-source-serif-4-font-family{font-family: var(--wp--preset--font-family--source-serif-4) !important;}.has-space-mono-font-family{font-family: var(--wp--preset--font-family--space-mono) !important;}.has-syne-font-family{font-family: var(--wp--preset--font-family--syne) !important;}.has-texturina-font-family{font-family: var(--wp--preset--font-family--texturina) !important;}.has-urbanist-font-family{font-family: var(--wp--preset--font-family--urbanist) !important;}.has-work-sans-font-family{font-family: var(--wp--preset--font-family--work-sans) !important;} :where(.wp-block-columns.is-layout-flex){gap: 2em;}:where(.wp-block-columns.is-layout-grid){gap: 2em;} :root :where(.wp-block-pullquote){font-size: 1.5em;line-height: 1.6;} :where(.wp-block-post-template.is-layout-flex){gap: 1.25em;}:where(.wp-block-post-template.is-layout-grid){gap: 1.25em;} </style> <link crossorigin='anonymous' rel='stylesheet' id='all-css-10-1' href='https://s1.wp.com/_static/??/wp-content/mu-plugins/comment-likes/css/comment-likes.css,/i/noticons/noticons.css?m=1436783281j&cssminify=yes' type='text/css' media='all' /> <link rel='stylesheet' id='orvis-fonts-css' href='https://fonts-api.wp.com/css?family=Karla%3A400%2C700%2C400italic%2C700italic&subset=latin%2Clatin-ext' media='all' /> <link crossorigin='anonymous' rel='stylesheet' id='all-css-12-1' href='https://s0.wp.com/_static/??/wp-content/themes/pub/orvis/style.css,/wp-content/themes/pub/orvis/inc/style-wpcom.css?m=1652999740j&cssminify=yes' type='text/css' media='all' /> <style id='akismet-widget-style-inline-css'> .a-stats { --akismet-color-mid-green: #357b49; --akismet-color-white: #fff; --akismet-color-light-grey: #f6f7f7; max-width: 350px; width: auto; } .a-stats * { all: unset; box-sizing: border-box; } .a-stats strong { font-weight: 600; } .a-stats a.a-stats__link, .a-stats a.a-stats__link:visited, .a-stats a.a-stats__link:active { background: var(--akismet-color-mid-green); border: none; box-shadow: none; border-radius: 8px; color: var(--akismet-color-white); cursor: pointer; display: block; font-family: -apple-system, BlinkMacSystemFont, 'Segoe UI', 'Roboto', 'Oxygen-Sans', 'Ubuntu', 'Cantarell', 'Helvetica Neue', sans-serif; font-weight: 500; padding: 12px; text-align: center; text-decoration: none; transition: all 0.2s ease; } /* Extra specificity to deal with TwentyTwentyOne focus style */ .widget .a-stats a.a-stats__link:focus { background: var(--akismet-color-mid-green); color: var(--akismet-color-white); text-decoration: none; } .a-stats a.a-stats__link:hover { filter: brightness(110%); box-shadow: 0 4px 12px rgba(0, 0, 0, 0.06), 0 0 2px rgba(0, 0, 0, 0.16); } .a-stats .count { color: var(--akismet-color-white); display: block; font-size: 1.5em; line-height: 1.4; padding: 0 13px; white-space: nowrap; } </style> <link crossorigin='anonymous' rel='stylesheet' id='all-css-14-1' href='https://s1.wp.com/_static/??-eJzTLy/QTc7PK0nNK9HPLdUtyClNz8wr1i9KTcrJTwcy0/WTi5G5ekCujj52Temp+bo5+cmJJZn5eSgc3bScxMwikFb7XFtDE1NLExMLc0OTLACohS2q&cssminify=yes' type='text/css' media='all' /> <link crossorigin='anonymous' rel='stylesheet' id='print-css-15-1' href='https://s1.wp.com/wp-content/mu-plugins/global-print/global-print.css?m=1465851035i&cssminify=yes' type='text/css' media='print' /> <style id='jetpack-global-styles-frontend-style-inline-css'> :root { --font-headings: unset; --font-base: unset; --font-headings-default: -apple-system,BlinkMacSystemFont,"Segoe UI",Roboto,Oxygen-Sans,Ubuntu,Cantarell,"Helvetica Neue",sans-serif; --font-base-default: -apple-system,BlinkMacSystemFont,"Segoe UI",Roboto,Oxygen-Sans,Ubuntu,Cantarell,"Helvetica Neue",sans-serif;} </style> <link crossorigin='anonymous' rel='stylesheet' id='all-css-18-1' href='https://s2.wp.com/_static/??-eJyNjcEKwjAQRH/IuA1aehI/ReImJKmb3eAmFP9eW3oRL16GeTC8gaUaFG6BG5RuKvWYWWEOrTp87AxFZA3fKShocs/gnfevrWaOR1Q9wP+mW2YEFcyODEkU/YIfW0uhfH7TGSLJ3dE6uJaLneww2mkYT/MbUOlJHA==&cssminify=yes' type='text/css' media='all' /> <script type="text/javascript" id="wpcom-actionbar-placeholder-js-extra"> /* <![CDATA[ */ var actionbardata = {"siteID":"78317452","postID":"42","siteURL":"http:\/\/mayurisrao.wordpress.com","xhrURL":"https:\/\/mayurisrao.wordpress.com\/wp-admin\/admin-ajax.php","nonce":"65b5e85f44","isLoggedIn":"","statusMessage":"","subsEmailDefault":"instantly","proxyScriptUrl":"https:\/\/s0.wp.com\/wp-content\/js\/wpcom-proxy-request.js?ver=20211021","shortlink":"https:\/\/wp.me\/P5iBWI-G","i18n":{"followedText":"New posts from this site will now appear in your <a href=\"https:\/\/wordpress.com\/reader\">Reader<\/a>","foldBar":"Collapse this bar","unfoldBar":"Expand this bar","shortLinkCopied":"Shortlink copied to clipboard."}}; /* ]]> */ </script> <script type="text/javascript" id="jetpack-mu-wpcom-settings-js-before"> /* <![CDATA[ */ var JETPACK_MU_WPCOM_SETTINGS = {"assetsUrl":"https:\/\/s1.wp.com\/wp-content\/mu-plugins\/jetpack-mu-wpcom-plugin\/moon\/jetpack_vendor\/automattic\/jetpack-mu-wpcom\/src\/build\/"}; /* ]]> */ </script> <script crossorigin='anonymous' type='text/javascript' src='https://s1.wp.com/_static/??-eJyFjcsOwiAQRX/I6dSa+lgYvwWBEAgMOAPW/n3bqIk7V2dxT87FqYDOVC1VDIIcKxTOr7kLssN186RjM1a2MTya5fmDLnn6K0HyjlW1v/L37R6zgxKb8yQ4ZTbKCOioRN4hnQo+hw1AmcCZwmvilq7709CPh/54voQFmNpFWg=='></script> <script type="text/javascript" id="rlt-proxy-js-after"> /* <![CDATA[ */ rltInitialize( {"token":null,"iframeOrigins":["https:\/\/widgets.wp.com"]} ); /* ]]> */ </script> <link rel="EditURI" type="application/rsd+xml" title="RSD" href="https://mayurisrao.wordpress.com/xmlrpc.php?rsd" /> <meta name="generator" content="WordPress.com" /> <link rel="canonical" href="https://mayurisrao.wordpress.com/research-2/" /> <link rel='shortlink' href='https://wp.me/P5iBWI-G' /> <link rel="alternate" type="application/json+oembed" href="https://public-api.wordpress.com/oembed/?format=json&url=https%3A%2F%2Fmayurisrao.wordpress.com%2Fresearch-2%2F&for=wpcom-auto-discovery" /><link rel="alternate" type="application/xml+oembed" href="https://public-api.wordpress.com/oembed/?format=xml&url=https%3A%2F%2Fmayurisrao.wordpress.com%2Fresearch-2%2F&for=wpcom-auto-discovery" /> <!-- Jetpack Open Graph Tags --> <meta property="og:type" content="article" /> <meta property="og:title" content="Research" /> <meta property="og:url" content="https://mayurisrao.wordpress.com/research-2/" /> <meta property="og:description" content="Find my peer reviewed publications here Signals from the recombination epoch and APSERa Collaborators : Ravi Subrahmanyan, N Udaya Shankar, Jens Chluba, RRI CMB DISTORTION Lab Photons emi…" /> <meta property="article:published_time" content="2017-08-05T17:07:35+00:00" /> <meta property="article:modified_time" content="2022-07-26T07:58:39+00:00" /> <meta property="og:site_name" content="Research, musings, and more" /> <meta property="og:image" content="https://s0.wp.com/i/blank.jpg" /> <meta property="og:image:alt" content="" /> <meta property="og:locale" content="en_US" /> <meta property="fb:app_id" content="249643311490" /> <meta property="article:publisher" content="https://www.facebook.com/WordPresscom" /> <meta name="twitter:text:title" content="Research" /> <meta name="twitter:card" content="summary" /> <!-- End Jetpack Open Graph Tags --> <link rel="shortcut icon" type="image/x-icon" href="https://s1.wp.com/i/favicon.ico" sizes="16x16 24x24 32x32 48x48" /> <link rel="icon" type="image/x-icon" href="https://s1.wp.com/i/favicon.ico" sizes="16x16 24x24 32x32 48x48" /> <link rel="apple-touch-icon" href="https://s2.wp.com/i/webclip.png" /> <link rel='openid.server' href='https://mayurisrao.wordpress.com/?openidserver=1' /> <link rel='openid.delegate' href='https://mayurisrao.wordpress.com/' /> <link rel="search" type="application/opensearchdescription+xml" href="https://mayurisrao.wordpress.com/osd.xml" title="Research, musings, and more" /> <link rel="search" type="application/opensearchdescription+xml" href="https://s1.wp.com/opensearch.xml" title="WordPress.com" /> <meta name="theme-color" content="#f4f7f7" /> <style type="text/css"> .recentcomments a { display: inline !important; padding: 0 !important; margin: 0 !important; } table.recentcommentsavatartop img.avatar, table.recentcommentsavatarend img.avatar { border: 0px; margin: 0; } table.recentcommentsavatartop a, table.recentcommentsavatarend a { border: 0px !important; background-color: transparent !important; } td.recentcommentsavatarend, td.recentcommentsavatartop { padding: 0px 0px 1px 0px; margin: 0px; } td.recentcommentstextend { border: none !important; padding: 0px 0px 2px 10px; } .rtl td.recentcommentstextend { padding: 0px 10px 2px 0px; } td.recentcommentstexttop { border: none; padding: 0px 0px 0px 10px; } .rtl td.recentcommentstexttop { padding: 0px 10px 0px 0px; } </style> <meta name="description" content="Find my peer reviewed publications here Signals from the recombination epoch and APSERa Collaborators : Ravi Subrahmanyan, N Udaya Shankar, Jens Chluba, RRI CMB DISTORTION Lab Photons emitted during the epochs of Hydrogen and Helium recombination are predicted to appear as additive distortions to the Cosmic Microwave Background spectrum. Detecting and measuring these cosmological recombination lines would…" /> <style type="text/css" id="custom-background-css"> body.custom-background { background-color: #f4f7f7; background-image: url("https://mayurisrao.files.wordpress.com/2017/12/pexels-photo-316466.jpeg"); background-position: left top; background-size: auto; background-repeat: repeat; background-attachment: scroll; } </style> <script type="text/javascript"> /* <![CDATA[ */ var wa_client = {}; wa_client.cmd = []; wa_client.config = { 'blog_id': 78317452, 'blog_language': 'en', 'is_wordads': false, 'hosting_type': 0, 'theme': 'pub/orvis', '_': { 'title': 'Advertisement', 'privacy_settings': 'Privacy Settings' }, 'formats': [ 'belowpost', 'bottom_sticky', 'sidebar_sticky_right', 'sidebar' ] }; /* ]]> */ </script> <script type="text/javascript"> function __ATA_CC() {var v = document.cookie.match('(^|;) ?personalized-ads-consent=([^;]*)(;|$)');return v ? 1 : 0;} var __ATA_PP = { 'pt': 2, 'ht': 0, 'tn': 'orvis', 'uloggedin': 0, 'amp': false, 'consent': __ATA_CC(), 'gdpr_applies': false, 'ad': { 'label': { 'text': 'Advertisements' }, 'reportAd': { 'text': 'Report this ad' } }, 'disabled_slot_formats': [ 'MTS', 'DPR' ], 'siteid': 8982, 'blogid': 78317452 }; var __ATA = __ATA || {}; __ATA.cmd = __ATA.cmd || []; __ATA.criteo = __ATA.criteo || {}; __ATA.criteo.cmd = __ATA.criteo.cmd || []; </script> <script type="text/javascript"> (function(){var g=Date.now||function(){return+new Date};function h(a,b){a:{for(var c=a.length,d="string"==typeof a?a.split(""):a,e=0;e<c;e++)if(e in d&&b.call(void 0,d[e],e,a)){b=e;break a}b=-1}return 0>b?null:"string"==typeof a?a.charAt(b):a[b]};function k(a,b,c){c=null!=c?"="+encodeURIComponent(String(c)):"";if(b+=c){c=a.indexOf("#");0>c&&(c=a.length);var d=a.indexOf("?");if(0>d||d>c){d=c;var e=""}else e=a.substring(d+1,c);a=[a.substr(0,d),e,a.substr(c)];c=a[1];a[1]=b?c?c+"&"+b:b:c;a=a[0]+(a[1]?"?"+a[1]:"")+a[2]}return a};var l=0;function m(a,b){var c=document.createElement("script");c.src=a;c.onload=function(){b&&b(void 0)};c.onerror=function(){b&&b("error")};a=document.getElementsByTagName("head");var d;a&&0!==a.length?d=a[0]:d=document.documentElement;d.appendChild(c)}function n(a){var b=void 0===b?document.cookie:b;return(b=h(b.split("; "),function(c){return-1!=c.indexOf(a+"=")}))?b.split("=")[1]:""}function p(a){return"string"==typeof a&&0<a.length} function r(a,b,c){b=void 0===b?"":b;c=void 0===c?".":c;var d=[];Object.keys(a).forEach(function(e){var f=a[e],q=typeof f;"object"==q&&null!=f||"function"==q?d.push(r(f,b+e+c)):null!==f&&void 0!==f&&(e=encodeURIComponent(b+e),d.push(e+"="+encodeURIComponent(f)))});return d.filter(p).join("&")}function t(a,b){a||((window.__ATA||{}).config=b.c,m(b.url))}var u=Math.floor(1E13*Math.random()),v=window.__ATA||{};window.__ATA=v;window.__ATA.cmd=v.cmd||[];v.rid=u;v.createdAt=g();var w=window.__ATA||{},x="s.pubmine.com"; w&&w.serverDomain&&(x=w.serverDomain);var y="//"+x+"/conf",z=window.top===window,A=window.__ATA_PP&&window.__ATA_PP.gdpr_applies,B="boolean"===typeof A?Number(A):null,C=window.__ATA_PP||null,D=z?document.referrer?document.referrer:null:null,E=z?window.location.href:document.referrer?document.referrer:null,F,G=n("__ATA_tuuid");F=G?G:null;var H=window.innerWidth+"x"+window.innerHeight,I=n("usprivacy"),J=r({gdpr:B,pp:C,rid:u,src:D,ref:E,tuuid:F,vp:H,us_privacy:I?I:null},"","."); (function(a){var b=void 0===b?"cb":b;l++;var c="callback__"+g().toString(36)+"_"+l.toString(36);a=k(a,b,c);window[c]=function(d){t(void 0,d)};m(a,function(d){d&&t(d)})})(y+"?"+J);}).call(this); </script> <script> var sas_fallback = sas_fallback || []; sas_fallback.push( { tag: "<div id="atatags-26942-{{unique_id}}"></div><script>__ATA.cmd.push(function() {__ATA.initDynamicSlot({id: \'atatags-26942-{{unique_id}}\',location: 120,formFactor: \'001\',label: {text: \'Advertisements\',},creative: {reportAd: {text: \'Report this ad\',},privacySettings: {text: \'Privacy\',}}});});</script>", type: 'belowpost' }, { tag: "<div id="atatags-26942-{{unique_id}}"></div><script>__ATA.cmd.push(function() {__ATA.initDynamicSlot({id: \'atatags-26942-{{unique_id}}\',location: 310,formFactor: \'001\',label: {text: \'Advertisements\',},creative: {reportAd: {text: \'Report this ad\',},privacySettings: {text: \'Privacy\',}}});});</script>", type: 'inline' }, { tag: "<div id="atatags-26942-{{unique_id}}"></div><script>__ATA.cmd.push(function() {__ATA.initDynamicSlot({id: \'atatags-26942-{{unique_id}}\',location: 140,formFactor: \'003\',label: {text: \'Advertisements\',},creative: {reportAd: {text: \'Report this ad\',},privacySettings: {text: \'Privacy\',}}});});</script>", type: 'sidebar' }, { tag: "<div id="atatags-26942-{{unique_id}}"></div><script>__ATA.cmd.push(function() {__ATA.initDynamicSlot({id: \'atatags-26942-{{unique_id}}\',location: 110,formFactor: \'002\',label: {text: \'Advertisements\',},creative: {reportAd: {text: \'Report this ad\',},privacySettings: {text: \'Privacy\',}}});});</script>", type: 'top' } ); </script> <script type="text/javascript"> window.doNotSellCallback = function() { var linkElements = [ 'a[href="https://wordpress.com/?ref=footer_blog"]', 'a[href="https://wordpress.com/?ref=footer_website"]', 'a[href="https://wordpress.com/?ref=vertical_footer"]', 'a[href^="https://wordpress.com/?ref=footer_segment_"]', ].join(','); var dnsLink = document.createElement( 'a' ); dnsLink.href = 'https://wordpress.com/advertising-program-optout/'; dnsLink.classList.add( 'do-not-sell-link' ); dnsLink.rel = 'nofollow'; dnsLink.style.marginLeft = '0.5em'; dnsLink.textContent = 'Do Not Sell or Share My Personal Information'; var creditLinks = document.querySelectorAll( linkElements ); if ( 0 === creditLinks.length ) { return false; } Array.prototype.forEach.call( creditLinks, function( el ) { el.insertAdjacentElement( 'afterend', dnsLink ); }); return true; }; </script> <style type="text/css" id="custom-colors-css"> .portfolio-wrapper .project-info .entry-title a, .portfolio-wrapper .project-info .entry-title a:focus, .portfolio-wrapper .project-info .entry-title a:hover { color: #fff; } .portfolio-wrapper .project-info .entry-meta, .portfolio-wrapper .project-info .entry-meta a, .portfolio-wrapper .project-info .entry-meta a:focus, .portfolio-wrapper .project-info .entry-meta a:hover { color: #a0a0a0; } #comments #respond .form-submit input#comment-submit:focus, #comments #respond .form-submit input#comment-submit:hover { color: inherit !important; opacity: 0.75; } #infinite-footer, .main-navigation ul ul, .site .tiled-gallery-caption, body { background-color: #f4f7f7;} .dropdown-toggle:focus, .dropdown-toggle:hover, .menu-toggle:active, .menu-toggle:focus, div#actionbar .actnbr-notice form input[type="email"]:focus, input[type="email"], input[type="password"], input[type="search"], input[type="text"], input[type="url"], ins, mark, textarea { color: #f4f7f7;} .dropdown-toggle:focus, .dropdown-toggle:hover, .menu-toggle:active, .menu-toggle:focus, hr, input[type="email"], input[type="password"], input[type="search"], input[type="text"], input[type="url"], textarea, #comments .comment #comment-form-share-text-padder, #comments .comment #respond #comment-form-comment, #comments .comment #respond .comment-form-fields div.comment-form-input { background-color: #1F4E5F;} .dropdown-toggle:focus, .dropdown-toggle:hover, .menu-toggle:active, .menu-toggle:focus, input[type="email"], input[type="password"], input[type="search"], input[type="text"], input[type="url"], textarea, .jetpack-portfolio .image-link, .widget.top_rated ul { border-color: #1F4E5F;} #infinite-footer .container, .entry-title a:focus, .entry-title a:hover, .infinite-loader .spinner div, .jetpack-portfolio .image-link, .page-links > span, .page-links a, .page-links a:focus, .page-links a:hover, .portfolio-entry-title a:focus, .portfolio-entry-title a:hover, .site .jetpack-social-navigation a:focus, .site .jetpack-social-navigation a:hover, .site-title a:focus, .site-title a:hover, .widget_calendar tbody a:focus, .widget_calendar tbody a:hover, a, blockquote cite, blockquote small, body, button, input, input[type="button"], input[type="email"]:focus, input[type="password"]:focus, input[type="reset"], input[type="search"]:focus, input[type="submit"], input[type="text"]:focus, input[type="url"]:focus, select, textarea:focus, #comments #comment-form-share-text-padder, #comments #comment-form-share-text-padder textarea, #comments #respond #comment-form-comment, #comments #respond #comment-form-comment textarea, #comments #respond #comment-form-identity #comment-form-nascar p, #comments #respond #comment-form-load-service p, #comments #respond .comment-form-fields div.comment-form-input, #comments #respond .comment-form-fields div.comment-form-input input, #comments #respond .comment-form-fields p.comment-form-log-out, #comments #respond .comment-form-fields p.comment-form-posting-as, #comments #respond .form-submit, .widget_akismet_widget .a-stats a, .widget_flickr #flickr_badge_uber_wrapper td a:last-child { color: #1F4E5F;} code, kbd, pre, tt, var { color: #12323F;} ins, mark, .menu-toggle:active:hover, .menu-toggle:focus:hover { background-color: #79A8A9;} button:focus, button:hover, input[type="button"]:focus, input[type="button"]:hover, input[type="reset"]:focus, input[type="reset"]:hover, input[type="submit"]:focus, input[type="submit"]:hover, .jetpack-portfolio.hover:not(.has-post-thumbnail) .project-info, .menu-toggle:active:hover, .menu-toggle:focus:hover { border-color: #79A8A9;} #infinite-footer .blog-credits, #infinite-footer .blog-credits a, #infinite-footer .blog-credits a:hover, #infinite-footer .blog-info a, #infinite-footer .blog-info a:hover, #infinite-handle span button:focus, #infinite-handle span button:hover, .comment-metadata, .comment-metadata a, .comments-area .comment-likes .comment-like-feedback, .entry-footer, .entry-footer a, .entry-meta, .entry-meta a, .hentry div#jp-relatedposts div.jp-relatedposts-items .jp-relatedposts-post-context, .hentry div.sd-rating h3.sd-title, .hentry div.sharedaddy h3.sd-title, .jetpack-portfolio:not(.has-post-thumbnail) .project-info .entry-meta, .jetpack-portfolio:not(.has-post-thumbnail) .project-info .entry-meta a, .page-links > .page-links-title, .page-links a, .pd-rating, .portfolio-entry-meta, .portfolio-entry-meta a, .post-navigation .meta-nav, .site .tiled-gallery-caption, .site-content .contact-form label span, .site-content .jetpack-recipe .jetpack-recipe-meta, .site-description, .site-footer, .site-footer a, .taxonomy-description, .widget_goodreads div[class^="gr_custom_author"], .widget_goodreads div[class^="gr_custom_title"] a:focus, .widget_goodreads div[class^="gr_custom_title"] a:hover, .widget_jetpack_display_posts_widget .jetpack-display-remote-posts p, .widget_recent_entries .post-date, .widget_rss .rss-date, .widget_rss .rssSummary, .widget_rss cite, .wp-caption-text, a:active, a:focus, a:hover, blockquote, button:focus, button:hover, input[type="button"]:focus, input[type="button"]:hover, input[type="reset"]:focus, input[type="reset"]:hover, input[type="submit"]:focus, input[type="submit"]:hover, #comments #comment-form-share-text-padder textarea, #comments #respond #comment-form-comment textarea, #comments #respond .comment-form-service a:focus, #comments #respond .comment-form-service a:hover, #comments #respond form *, #comments #respond p.comment-subscription-form label, .widget.top_rated #top_posts, .widget_akismet_widget .a-stats a:focus, .widget_akismet_widget .a-stats a:hover, .widget_flickr #flickr_badge_uber_wrapper td a:last-child:focus, .widget_flickr #flickr_badge_uber_wrapper td a:last-child:hover, .widget_upcoming_events_widget .event-when { color: #79A8A9;} #comments #respond .comment-form-fields label, #comments #respond .comment-form-fields label span.nopublish, #comments #respond .comment-form-fields label span.required { color: #ABC8C9;} :-moz-placeholder { color: #ABC8C9;} ::-moz-placeholder { color: #ABC8C9;} :-ms-input-placeholder { color: #ABC8C9;} ::-webkit-input-placeholder { color: #ABC8C9;} ::input-placeholder { color: #ABC8C9;} .site .jetpack-social-navigation a { color: #335151;} #infinite-handle:before, .archive:not([class*="jetpack-portfolio"]) .hentry + .hentry:before, .blog .hentry + .hentry:before, .comment-respond:before, .comments-title:before, .infinite-loader:before, .infinite-wrap .hentry:before, .no-comments:before, .page-content .widget:before, .page-header:after, .page-links > span, .page-links a, .search .hentry + .hentry:before, .site .jetpack-social-navigation a, .site-footer:before, .site-main .post-navigation:before, .site-main .posts-navigation:before, .widget-area:before, .widget:not(:first-of-type):before, .widget_calendar tbody a, .widget_wpcom_social_media_icons_widget a, code, div#jp-relatedposts:before, kbd, pre, tt, var { background-color: #aacfd0;} blockquote, body .hentry .wpcom-reblog-snapshot .reblogger-note-content blockquote { border-left-color: #aacfd0;} .rtl blockquote, .rtl .hentry .wpcom-reblog-snapshot .reblogger-note-content blockquote { border-right-color: #aacfd0;} </style> <script type="text/javascript"> window.google_analytics_uacct = "UA-52447-2"; </script> <script type="text/javascript"> var _gaq = _gaq || []; _gaq.push(['_setAccount', 'UA-52447-2']); _gaq.push(['_gat._anonymizeIp']); _gaq.push(['_setDomainName', 'wordpress.com']); _gaq.push(['_initData']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; (document.getElementsByTagName('head')[0] || document.getElementsByTagName('body')[0]).appendChild(ga); })(); </script> </head> <body class="wp-singular page-template-default page page-id-42 custom-background customizer-styles-applied jetpack-reblog-enabled has-marketing-bar has-marketing-bar-theme-orvis"> <div id="page" class="hfeed site"> <a class="skip-link screen-reader-text" href="#content">Skip to content</a> <header id="masthead" class="site-header" role="banner"> <div class="site-header-wrapper"> <div class="site-branding"> <p class="site-title"><a href="https://mayurisrao.wordpress.com/" rel="home">Research, musings, and more</a></p> <p class="site-description"></p> </div><!-- .site-branding --> <button id="menu-toggle" class="menu-toggle">Menu</button> <div id="site-menu" class="site-menu"> <nav id="site-navigation" class="main-navigation" role="navigation" aria-label="Primary Menu"> <div class="menu-home-container"><ul id="menu-home" class="primary-menu"><li id="menu-item-63" class="menu-item menu-item-type-post_type menu-item-object-page current-menu-item page_item page-item-42 current_page_item menu-item-63"><a href="https://mayurisrao.wordpress.com/research-2/" aria-current="page">Research</a></li> <li id="menu-item-64" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-64"><a href="https://mayurisrao.wordpress.com/cv/">CV</a></li> <li id="menu-item-108" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-108"><a href="https://mayurisrao.wordpress.com/resources/">Resources</a></li> <li id="menu-item-72" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-72"><a href="https://mayurisrao.wordpress.com/current-reads/">On my mind</a></li> </ul></div> </nav><!-- .main-navigation --> </div><!-- .site-menu --> </div><!-- .site-header-wrapper --> <a href="https://mayurisrao.wordpress.com/" rel="home" class="header-image"> <img src="https://defaultcustomheadersdata.files.wordpress.com/2016/07/design2.jpg?resize=1248,240" width="1248" height="240" alt=""> </a> </header><!-- #masthead --> <div id="content" class="site-content"> <div id="primary" class="content-area"> <main id="main" class="site-main" role="main"> <article id="post-42" class="post-42 page type-page status-publish hentry"> <header class="entry-header"> <h1 class="entry-title">Research</h1> </header><!-- .entry-header --> <div class="entry-content"> <p class="has-medium-font-size"><a href="https://tinyurl.com/msrpublications" target="_blank" rel="noreferrer noopener"><strong>Find my peer reviewed publications here</strong></a></p> <h2><span style="color:#f2c307;"><b>Signals from the recombination epoch and APSERa</b></span></h2> <h3> <b>Collaborators :</b><br> <a href="http://www.rri.res.in/aa_ravisubrahmanyan.html" target="_blank" rel="noopener">Ravi Subrahmanyan</a>, <a href="http://rri.res.in/aa_udayashankarn.html" target="_blank" rel="noopener">N Udaya Shankar</a>, <a href="http://www.ast.cam.ac.uk/~jchluba/Science_Jens/Science_Jens.html" target="_blank" rel="noopener">Jens Chluba, </a><a href="http://www.rri.res.in/DISTORTION/index.html">RRI CMB DISTORTION Lab</a></h3> <p style="text-align:justify;">Photons emitted during the epochs of Hydrogen and Helium recombination are predicted to appear as additive distortions to the Cosmic Microwave Background spectrum. Detecting and measuring these cosmological recombination lines would help confront our understanding of the thermal and ionization histories of the Universe, serve as a unique probe to measure pre-stellar Helium abundance and provide an independent method to constrain certain cosmological parameters. More details can be found in the review paper by <a href="http://arxiv.org/abs/0908.0435" target="_blank" rel="noopener">Sunyaev & Chluba (2009)</a> and references there in. I explored the detectability of these weak and broad cosmological signals and worked on developing a prototype element to detect the same. An array of 128 such elements would then comprise <a href="http://rri.res.in/apsera" target="_blank" rel="noopener">APSERa : An Array of Precision Spectrometers for the Epoch of RecombinAtion</a>, an experimental venture at the <a href="http://rri.res.in/" target="_blank" rel="noopener">Raman Research Institute</a> with the science goal of detecting the ripple like weak signals arising from the epoch of recombination. Following promising results from feasibility studies, I am looking into methods to experimentally detect them. The feasibility study includes calculations of the best frequency for a ground-based detection, calculation of signal-to-noise ratios with receivers of different noise temperatures and developing algorithms for foreground modeling and signal extraction. Along with colleagues at RRI I am looking into various aspects such as antenna design, analog front-end architecture, digital back-end design and system integration, calibration towards a fully operational precision spectrometer which would form the individual element of APSERa.</p> <p style="text-align:justify;">There are many challenges to the detection of these cosmological recombination lines. Firstly, they are extremely weak. They are predicted to be about 9 orders of magnitude weaker than the sky (galactic and extragalactic contribution + the Cosmic Microwave Background) making detection a challenging problem. Adding to the challenge is that these lines are extremely broad owing to the fact that recombination was not an instantaneous process but had a (wide) finite span in redshift. So these lines do not ‘stick-out’ of the continuum like other spectral lines might in typical observations. A third crucial challenge, also affecting other cosmological problems like detecting the redshifted 21 cm line from the epoch of reionization (EoR), is that we do not understand the foreground precisely enough. This is because one would expect that to detect the cosmological recombination lines, one would simply have to fit to the CMB, the foreground (galactic and extragalactic) and subtract them out, leaving behind the desired signal. However if we do not know a-priori the function to fit the foreground with (CMB has a black-body spectrum), we cannot fit the measured sky-spectrum (sky temperature vs. frequency) precisely enough to reveal the buried signal of interest. This poses a great challenge to a detection experiment. In our recent paper we discuss a method for effective foreground subtraction and signal recovery.</p> <h2 class="wp-block-heading"><mark style="background-color:rgba(0, 0, 0, 0);" class="has-inline-color has-luminous-vivid-amber-color"><strong>Signals from the Cosmic Dawn and the Epoch of Reionizatio</strong>n — PRATUSH</mark></h2> <p class="p1"><span class="s1">After the formation of the very atoms in the Universe, the Universe comprised mostly of neutral hydrogen (hydrogen atoms), some helium atoms, and trace quantities of some other elements. This was over 13 billion years ago! Look out your window at the sky. Do you seen the sun? Perhaps the moon and stars? If they didn’t exist in the beginning of the Universe then when did they come to be? When did the very first stars and Galaxies form? Do they look like the stars and galaxies we see today? How did they form? How is the Universe different now than when it formed? What other sources of radiation are out there and what kind of ‘light’ do they emit? Most of these questions remain unanswered. Answering these questions is an open and active research area. The period in the history of the Universe when the first ‘sources’ formed is called the Cosmic Dawn (CD). It is known from studies that the radiation from these sources (re-)ionized the neutral hydrogen and helium atoms filling the Universe back to their constituent ions. This is called the Epoch of Reionization (EoR).</span></p> <h2 class="wp-block-heading"><strong>High-frequency astronomy & readout electronics</strong></h2> <p>The Cosmic Microwave Background (CMB) radiation, the afterglow of the infant Universe, fills the sky. Being electromagnetic radiation, it has all the properties that ‘light’ does. For instance, it has polarization, intensity that varies as a function of frequency — namely its spectrum, and the intensity that can fluctuate from one direction of the sky to another. These properties of the CMB are of great interest to cosmologists, and are used to understand our Universe, its history, and the physics that governs it. The CMB spectrum is very close to that of a blackbody of temperature 2.72548 Kelvin, and it is brightest at ~150 GHz. There are several on going and proposed telescopes operating at or around this frequency to make exquisitely detailed maps of the CMB in temperature and polarization, to answer fundamental questions in cosmology. Furthermore, studying the sky at such high frequencies, including at around 1000 GHz, gives us the ability to peer into objects and phenomenon that are poorly understood. These include studying dust, witnessing the birth of planets, and peering into molecular clouds. I work on various aspects of what I call ‘high-frequency’ telescopes (including mm, sub-mm, THz) including site analysis, readout electronics, and figuring out ways to make measurements by introducing minimal noise into the dataset. </p> <div id="atatags-370373-67e43c7440d9f"> <script type="text/javascript"> __ATA.cmd.push(function() { __ATA.initVideoSlot('atatags-370373-67e43c7440d9f', { sectionId: '370373', format: 'inread' }); }); </script> </div><div class="wordads-tag" data-slot-type="belowpost" style="display: none;"></div><div id="jp-post-flair" class="sharedaddy sd-like-enabled sd-sharing-enabled"><div class="sharedaddy sd-sharing-enabled"><div class="robots-nocontent sd-block sd-social sd-social-icon-text sd-sharing"><h3 class="sd-title">Share this:</h3><div class="sd-content"><ul><li class="share-twitter"><a rel="nofollow noopener noreferrer" data-shared="sharing-twitter-42" class="share-twitter sd-button share-icon" href="https://mayurisrao.wordpress.com/research-2/?share=twitter" target="_blank" title="Click to share on Twitter" ><span>Twitter</span></a></li><li class="share-facebook"><a rel="nofollow noopener noreferrer" data-shared="sharing-facebook-42" class="share-facebook sd-button share-icon" href="https://mayurisrao.wordpress.com/research-2/?share=facebook" target="_blank" title="Click to share on Facebook" ><span>Facebook</span></a></li><li class="share-end"></li></ul></div></div></div><div class='sharedaddy sd-block sd-like jetpack-likes-widget-wrapper jetpack-likes-widget-unloaded' id='like-post-wrapper-78317452-42-67e43c744173e' data-src='//widgets.wp.com/likes/index.html?ver=20250326#blog_id=78317452&post_id=42&origin=mayurisrao.wordpress.com&obj_id=78317452-42-67e43c744173e' data-name='like-post-frame-78317452-42-67e43c744173e' data-title='Like or Reblog'><div class='likes-widget-placeholder post-likes-widget-placeholder' style='height: 55px;'><span class='button'><span>Like</span></span> <span class='loading'>Loading...</span></div><span class='sd-text-color'></span><a class='sd-link-color'></a></div></div> </div><!-- .entry-content --> <footer class="entry-footer"> </footer><!-- .entry-footer --> </article><!-- #post-## --> </main><!-- #main --> </div><!-- #primary --> </div><!-- #content --> <footer id="colophon" class="site-footer" role="contentinfo"> <div class="site-footer-wrapper"> <div class="site-info"> <a href="https://wordpress.com/?ref=footer_blog" rel="nofollow">Blog at WordPress.com.</a> </div><!-- .site-info --> </div><!-- .site-footer-wrapper --> </footer><!-- #colophon --> </div><!-- #page --> <!-- --> <script type="text/javascript" src="//0.gravatar.com/js/hovercards/hovercards.min.js?ver=2025137d8bf6c02970a26c6b0c26b0fcfc89796aa30f84307cffd8fd28d2bcca53dd7a" id="grofiles-cards-js"></script> <script type="text/javascript" id="wpgroho-js-extra"> /* <![CDATA[ */ var WPGroHo = {"my_hash":""}; /* ]]> */ </script> <script crossorigin='anonymous' type='text/javascript' src='https://s2.wp.com/wp-content/mu-plugins/gravatar-hovercards/wpgroho.js?m=1610363240i'></script> <script> // Initialize and attach hovercards to all gravatars ( function() { function init() { if ( typeof Gravatar === 'undefined' ) { return; } if ( typeof Gravatar.init !== 'function' ) { return; } Gravatar.profile_cb = function ( hash, id ) { WPGroHo.syncProfileData( hash, id ); }; Gravatar.my_hash = WPGroHo.my_hash; Gravatar.init( 'body', '#wp-admin-bar-my-account', { i18n: { 'Edit your profile →': 'Edit your profile →', 'View profile →': 'View profile →', 'Contact': 'Contact', 'Send money': 'Send money', 'Sorry, we are unable to load this Gravatar profile.': 'Sorry, we are unable to load this Gravatar profile.', 'Profile not found.': 'Profile not found.', 'Too Many Requests.': 'Too Many Requests.', 'Internal Server Error.': 'Internal Server Error.', }, } ); } if ( document.readyState !== 'loading' ) { init(); } else { document.addEventListener( 'DOMContentLoaded', init ); } } )(); </script> <div style="display:none"> </div> <script type="text/javascript"> ( function() { function init() { document.body.addEventListener( 'is.post-load', function() { if ( typeof __ATA.insertInlineAds === 'function' ) { __ATA.insertInlineAds(); } } ); } if ( document.readyState !== 'loading' ) { init(); } else { document.addEventListener( 'DOMContentLoaded', init ); } } )(); </script> <!-- CCPA [start] --> <script type="text/javascript"> ( function () { var setupPrivacy = function() { // Minimal Mozilla Cookie library // https://developer.mozilla.org/en-US/docs/Web/API/Document/cookie/Simple_document.cookie_framework var cookieLib = window.cookieLib = {getItem:function(e){return e&&decodeURIComponent(document.cookie.replace(new RegExp("(?:(?:^|.*;)\\s*"+encodeURIComponent(e).replace(/[\-\.\+\*]/g,"\\$&")+"\\s*\\=\\s*([^;]*).*$)|^.*$"),"$1"))||null},setItem:function(e,o,n,t,r,i){if(!e||/^(?:expires|max\-age|path|domain|secure)$/i.test(e))return!1;var c="";if(n)switch(n.constructor){case Number:c=n===1/0?"; expires=Fri, 31 Dec 9999 23:59:59 GMT":"; max-age="+n;break;case String:c="; expires="+n;break;case Date:c="; expires="+n.toUTCString()}return"rootDomain"!==r&&".rootDomain"!==r||(r=(".rootDomain"===r?".":"")+document.location.hostname.split(".").slice(-2).join(".")),document.cookie=encodeURIComponent(e)+"="+encodeURIComponent(o)+c+(r?"; domain="+r:"")+(t?"; path="+t:"")+(i?"; secure":""),!0}}; // Implement IAB USP API. window.__uspapi = function( command, version, callback ) { // Validate callback. if ( typeof callback !== 'function' ) { return; } // Validate the given command. if ( command !== 'getUSPData' || version !== 1 ) { callback( null, false ); return; } // Check for GPC. If set, override any stored cookie. if ( navigator.globalPrivacyControl ) { callback( { version: 1, uspString: '1YYN' }, true ); return; } // Check for cookie. var consent = cookieLib.getItem( 'usprivacy' ); // Invalid cookie. if ( null === consent ) { callback( null, false ); return; } // Everything checks out. Fire the provided callback with the consent data. callback( { version: 1, uspString: consent }, true ); }; // Initialization. document.addEventListener( 'DOMContentLoaded', function() { // Internal functions. var setDefaultOptInCookie = function() { var value = '1YNN'; var domain = '.wordpress.com' === location.hostname.slice( -14 ) ? '.rootDomain' : location.hostname; cookieLib.setItem( 'usprivacy', value, 365 * 24 * 60 * 60, '/', domain ); }; var setDefaultOptOutCookie = function() { var value = '1YYN'; var domain = '.wordpress.com' === location.hostname.slice( -14 ) ? '.rootDomain' : location.hostname; cookieLib.setItem( 'usprivacy', value, 24 * 60 * 60, '/', domain ); }; var setDefaultNotApplicableCookie = function() { var value = '1---'; var domain = '.wordpress.com' === location.hostname.slice( -14 ) ? '.rootDomain' : location.hostname; cookieLib.setItem( 'usprivacy', value, 24 * 60 * 60, '/', domain ); }; var setCcpaAppliesCookie = function( applies ) { var domain = '.wordpress.com' === location.hostname.slice( -14 ) ? '.rootDomain' : location.hostname; cookieLib.setItem( 'ccpa_applies', applies, 24 * 60 * 60, '/', domain ); } var maybeCallDoNotSellCallback = function() { if ( 'function' === typeof window.doNotSellCallback ) { return window.doNotSellCallback(); } return false; } // Look for usprivacy cookie first. var usprivacyCookie = cookieLib.getItem( 'usprivacy' ); // Found a usprivacy cookie. if ( null !== usprivacyCookie ) { // If the cookie indicates that CCPA does not apply, then bail. if ( '1---' === usprivacyCookie ) { return; } // CCPA applies, so call our callback to add Do Not Sell link to the page. maybeCallDoNotSellCallback(); // We're all done, no more processing needed. return; } // We don't have a usprivacy cookie, so check to see if we have a CCPA applies cookie. var ccpaCookie = cookieLib.getItem( 'ccpa_applies' ); // No CCPA applies cookie found, so we'll need to geolocate if this visitor is from California. // This needs to happen client side because we do not have region geo data in our $SERVER headers, // only country data -- therefore we can't vary cache on the region. if ( null === ccpaCookie ) { var request = new XMLHttpRequest(); request.open( 'GET', 'https://public-api.wordpress.com/geo/', true ); request.onreadystatechange = function () { if ( 4 === this.readyState ) { if ( 200 === this.status ) { // Got a geo response. Parse out the region data. var data = JSON.parse( this.response ); var region = data.region ? data.region.toLowerCase() : ''; var ccpa_applies = ['california', 'colorado', 'connecticut', 'delaware', 'indiana', 'iowa', 'montana', 'new jersey', 'oregon', 'tennessee', 'texas', 'utah', 'virginia'].indexOf( region ) > -1; // Set CCPA applies cookie. This keeps us from having to make a geo request too frequently. setCcpaAppliesCookie( ccpa_applies ); // Check if CCPA applies to set the proper usprivacy cookie. if ( ccpa_applies ) { if ( maybeCallDoNotSellCallback() ) { // Do Not Sell link added, so set default opt-in. setDefaultOptInCookie(); } else { // Failed showing Do Not Sell link as required, so default to opt-OUT just to be safe. setDefaultOptOutCookie(); } } else { // CCPA does not apply. setDefaultNotApplicableCookie(); } } else { // Could not geo, so let's assume for now that CCPA applies to be safe. setCcpaAppliesCookie( true ); if ( maybeCallDoNotSellCallback() ) { // Do Not Sell link added, so set default opt-in. setDefaultOptInCookie(); } else { // Failed showing Do Not Sell link as required, so default to opt-OUT just to be safe. setDefaultOptOutCookie(); } } } }; // Send the geo request. request.send(); } else { // We found a CCPA applies cookie. if ( ccpaCookie === 'true' ) { if ( maybeCallDoNotSellCallback() ) { // Do Not Sell link added, so set default opt-in. setDefaultOptInCookie(); } else { // Failed showing Do Not Sell link as required, so default to opt-OUT just to be safe. setDefaultOptOutCookie(); } } else { // CCPA does not apply. setDefaultNotApplicableCookie(); } } } ); }; // Kickoff initialization. if ( window.defQueue && defQueue.isLOHP && defQueue.isLOHP === 2020 ) { defQueue.items.push( setupPrivacy ); } else { setupPrivacy(); } } )(); </script> <!-- CCPA [end] --> <div class="widget widget_eu_cookie_law_widget"> <div class="hide-on-button ads-active" data-hide-timeout="30" data-consent-expiration="180" id="eu-cookie-law" style="display: none" > <form method="post"> <input type="submit" value="Close and accept" class="accept" /> Privacy & Cookies: This site uses cookies. By continuing to use this website, you agree to their use. <br /> To find out more, including how to control cookies, see here: <a href="https://automattic.com/cookies/" rel="nofollow"> Cookie Policy </a> </form> </div> </div> <div id="actionbar" dir="ltr" style="display: none;" class="actnbr-pub-orvis actnbr-has-follow actnbr-has-actions"> <ul> <li class="actnbr-btn actnbr-hidden"> <a class="actnbr-action actnbr-actn-follow " href=""> <svg class="gridicon" height="20" width="20" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 20 20"><path clip-rule="evenodd" d="m4 4.5h12v6.5h1.5v-6.5-1.5h-1.5-12-1.5v1.5 10.5c0 1.1046.89543 2 2 2h7v-1.5h-7c-.27614 0-.5-.2239-.5-.5zm10.5 2h-9v1.5h9zm-5 3h-4v1.5h4zm3.5 1.5h-1v1h1zm-1-1.5h-1.5v1.5 1 1.5h1.5 1 1.5v-1.5-1-1.5h-1.5zm-2.5 2.5h-4v1.5h4zm6.5 1.25h1.5v2.25h2.25v1.5h-2.25v2.25h-1.5v-2.25h-2.25v-1.5h2.25z" fill-rule="evenodd"></path></svg> <span>Subscribe</span> </a> <a class="actnbr-action actnbr-actn-following no-display" href=""> <svg class="gridicon" height="20" width="20" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 20 20"><path fill-rule="evenodd" clip-rule="evenodd" d="M16 4.5H4V15C4 15.2761 4.22386 15.5 4.5 15.5H11.5V17H4.5C3.39543 17 2.5 16.1046 2.5 15V4.5V3H4H16H17.5V4.5V12.5H16V4.5ZM5.5 6.5H14.5V8H5.5V6.5ZM5.5 9.5H9.5V11H5.5V9.5ZM12 11H13V12H12V11ZM10.5 9.5H12H13H14.5V11V12V13.5H13H12H10.5V12V11V9.5ZM5.5 12H9.5V13.5H5.5V12Z" fill="#008A20"></path><path class="following-icon-tick" d="M13.5 16L15.5 18L19 14.5" stroke="#008A20" stroke-width="1.5"></path></svg> <span>Subscribed</span> </a> <div class="actnbr-popover tip tip-top-left actnbr-notice" id="follow-bubble"> <div class="tip-arrow"></div> <div class="tip-inner actnbr-follow-bubble"> <ul> <li class="actnbr-sitename"> <a href="https://mayurisrao.wordpress.com"> <img loading='lazy' alt='' src='https://s2.wp.com/i/logo/wpcom-gray-white.png' srcset='https://s2.wp.com/i/logo/wpcom-gray-white.png 1x' class='avatar avatar-50' height='50' width='50' /> Research, musings, and more </a> </li> <div class="actnbr-message no-display"></div> <form method="post" action="https://subscribe.wordpress.com" accept-charset="utf-8" style="display: none;"> <div> <input type="email" name="email" placeholder="Enter your email address" class="actnbr-email-field" aria-label="Enter your email address" /> </div> <input type="hidden" name="action" value="subscribe" /> <input type="hidden" name="blog_id" value="78317452" /> <input type="hidden" name="source" value="https://mayurisrao.wordpress.com/research-2/" /> <input type="hidden" name="sub-type" value="actionbar-follow" /> <input type="hidden" id="_wpnonce" name="_wpnonce" value="3a690705f4" /> <div class="actnbr-button-wrap"> <button type="submit" value="Sign me up"> Sign me up </button> </div> </form> <li class="actnbr-login-nudge"> <div> Already have a WordPress.com account? <a href="https://wordpress.com/log-in?redirect_to=https%3A%2F%2Fmayurisrao.wordpress.com%2Fresearch-2%2F&signup_flow=account">Log in now.</a> </div> </li> </ul> </div> </div> </li> <li class="actnbr-ellipsis actnbr-hidden"> <svg class="gridicon gridicons-ellipsis" height="24" width="24" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24"><g><path d="M7 12c0 1.104-.896 2-2 2s-2-.896-2-2 .896-2 2-2 2 .896 2 2zm12-2c-1.104 0-2 .896-2 2s.896 2 2 2 2-.896 2-2-.896-2-2-2zm-7 0c-1.104 0-2 .896-2 2s.896 2 2 2 2-.896 2-2-.896-2-2-2z"/></g></svg> <div class="actnbr-popover tip tip-top-left actnbr-more"> <div class="tip-arrow"></div> <div class="tip-inner"> <ul> <li class="actnbr-sitename"> <a href="https://mayurisrao.wordpress.com"> <img loading='lazy' alt='' src='https://s2.wp.com/i/logo/wpcom-gray-white.png' srcset='https://s2.wp.com/i/logo/wpcom-gray-white.png 1x' class='avatar avatar-50' height='50' width='50' /> Research, musings, and more </a> </li> <li class="actnbr-folded-follow"> <a class="actnbr-action actnbr-actn-follow " href=""> <svg class="gridicon" height="20" width="20" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 20 20"><path clip-rule="evenodd" d="m4 4.5h12v6.5h1.5v-6.5-1.5h-1.5-12-1.5v1.5 10.5c0 1.1046.89543 2 2 2h7v-1.5h-7c-.27614 0-.5-.2239-.5-.5zm10.5 2h-9v1.5h9zm-5 3h-4v1.5h4zm3.5 1.5h-1v1h1zm-1-1.5h-1.5v1.5 1 1.5h1.5 1 1.5v-1.5-1-1.5h-1.5zm-2.5 2.5h-4v1.5h4zm6.5 1.25h1.5v2.25h2.25v1.5h-2.25v2.25h-1.5v-2.25h-2.25v-1.5h2.25z" fill-rule="evenodd"></path></svg> <span>Subscribe</span> </a> <a class="actnbr-action actnbr-actn-following no-display" href=""> <svg class="gridicon" height="20" width="20" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 20 20"><path fill-rule="evenodd" clip-rule="evenodd" d="M16 4.5H4V15C4 15.2761 4.22386 15.5 4.5 15.5H11.5V17H4.5C3.39543 17 2.5 16.1046 2.5 15V4.5V3H4H16H17.5V4.5V12.5H16V4.5ZM5.5 6.5H14.5V8H5.5V6.5ZM5.5 9.5H9.5V11H5.5V9.5ZM12 11H13V12H12V11ZM10.5 9.5H12H13H14.5V11V12V13.5H13H12H10.5V12V11V9.5ZM5.5 12H9.5V13.5H5.5V12Z" fill="#008A20"></path><path class="following-icon-tick" d="M13.5 16L15.5 18L19 14.5" stroke="#008A20" stroke-width="1.5"></path></svg> <span>Subscribed</span> </a> </li> <li class="actnbr-signup"><a href="https://wordpress.com/start/">Sign up</a></li> <li class="actnbr-login"><a href="https://wordpress.com/log-in?redirect_to=https%3A%2F%2Fmayurisrao.wordpress.com%2Fresearch-2%2F&signup_flow=account">Log in</a></li> <li class="actnbr-shortlink"> <a href="https://wp.me/P5iBWI-G"> <span class="actnbr-shortlink__text">Copy shortlink</span> <span class="actnbr-shortlink__icon"><svg class="gridicon gridicons-checkmark" height="16" width="16" xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24"><g><path d="M9 19.414l-6.707-6.707 1.414-1.414L9 16.586 20.293 5.293l1.414 1.414"/></g></svg></span> </a> </li> <li class="flb-report"> <a href="https://wordpress.com/abuse/?report_url=https://mayurisrao.wordpress.com/research-2/" target="_blank" rel="noopener noreferrer"> Report this content </a> </li> <li class="actnbr-reader"> <a href="https://wordpress.com/reader/blogs/78317452/posts/42"> View post in Reader </a> </li> <li class="actnbr-subs"> <a href="https://subscribe.wordpress.com/">Manage subscriptions</a> </li> <li class="actnbr-fold"><a href="">Collapse this bar</a></li> </ul> </div> </div> </li> </ul> </div> <script> window.addEventListener( "load", function( event ) { var link = document.createElement( "link" ); link.href = "https://s0.wp.com/wp-content/mu-plugins/actionbar/actionbar.css?v=20250116"; link.type = "text/css"; link.rel = "stylesheet"; document.head.appendChild( link ); var script = document.createElement( "script" ); script.src = "https://s0.wp.com/wp-content/mu-plugins/actionbar/actionbar.js?v=20250204"; script.defer = true; document.body.appendChild( script ); } ); </script> <script type="text/javascript"> window.WPCOM_sharing_counts = {"https:\/\/mayurisrao.wordpress.com\/research-2\/":42}; </script> <script type="text/javascript" src="https://s1.wp.com/wp-content/js/mobile-useragent-info.js?m=1609849039i&ver=20241018" id="mobile-useragent-info-js" defer="defer" data-wp-strategy="defer"></script> <script type="text/javascript" id="comment-like-js-extra"> /* <![CDATA[ */ var comment_like_text = {"loading":"Loading...","swipeUrl":"https:\/\/s2.wp.com\/wp-content\/mu-plugins\/comment-likes\/js\/lib\/swipe.js?ver=20131008"}; /* ]]> */ </script> <script type="text/javascript" id="orvis-script-js-extra"> /* <![CDATA[ */ var screenReaderText = {"expand":"expand child menu","collapse":"collapse child menu"}; /* ]]> */ </script> <script type="text/javascript" id="sharing-js-js-extra"> /* <![CDATA[ */ var sharing_js_options = {"lang":"en","counts":"1","is_stats_active":"1"}; /* ]]> */ </script> <script crossorigin='anonymous' type='text/javascript' src='https://s0.wp.com/_static/??-eJyNkN1OwzAMhV+IzKJsGjeIR0Fp4rbOjx3qZIW3JxpITEWauLOPz3dsGbZinHBFrjAmmU1JbSZW2GT11qtxyaqiQuiSrclchkPQB7jBcvuFyM9YFbD1qURCk+wGFXNJtuJOv5OTKHb3e8OGi2WfcL1jdpJzl8w3FHbCHqwL5m4rbQRZL3QFNFLpbo5mEtfUTPTxH2xq7CoJ/9lxc1zAWqyLPz1kEYY3Ygdjo+RBF7ti/7P/vJbE8yET97zX/PJ4Pg6n56fTeQhfZbmddQ=='></script> <script type="text/javascript" id="jetpack-portfolio-theme-supports-js-after"> /* <![CDATA[ */ const jetpack_portfolio_theme_supports = false /* ]]> */ </script> <script type="text/javascript" id="sharing-js-js-after"> /* <![CDATA[ */ var windowOpen; ( function () { function matches( el, sel ) { return !! ( el.matches && el.matches( sel ) || el.msMatchesSelector && el.msMatchesSelector( sel ) ); } document.body.addEventListener( 'click', function ( event ) { if ( ! event.target ) { return; } var el; if ( matches( event.target, 'a.share-twitter' ) ) { el = event.target; } else if ( event.target.parentNode && matches( event.target.parentNode, 'a.share-twitter' ) ) { el = event.target.parentNode; } if ( el ) { event.preventDefault(); // If there's another sharing window open, close it. if ( typeof windowOpen !== 'undefined' ) { windowOpen.close(); } windowOpen = window.open( el.getAttribute( 'href' ), 'wpcomtwitter', 'menubar=1,resizable=1,width=600,height=350' ); return false; } } ); } )(); var windowOpen; ( function () { function matches( el, sel ) { return !! ( el.matches && el.matches( sel ) || el.msMatchesSelector && el.msMatchesSelector( sel ) ); } document.body.addEventListener( 'click', function ( event ) { if ( ! event.target ) { return; } var el; if ( matches( event.target, 'a.share-facebook' ) ) { el = event.target; } else if ( event.target.parentNode && matches( event.target.parentNode, 'a.share-facebook' ) ) { el = event.target.parentNode; } if ( el ) { event.preventDefault(); // If there's another sharing window open, close it. if ( typeof windowOpen !== 'undefined' ) { windowOpen.close(); } windowOpen = window.open( el.getAttribute( 'href' ), 'wpcomfacebook', 'menubar=1,resizable=1,width=600,height=400' ); return false; } } ); } )(); /* ]]> */ </script> <script type="text/javascript"> (function () { var wpcom_reblog = { source: 'toolbar', toggle_reblog_box_flair: function (obj_id, post_id) { // Go to site selector. This will redirect to their blog if they only have one. const postEndpoint = `https://wordpress.com/post`; // Ideally we would use the permalink here, but fortunately this will be replaced with the // post permalink in the editor. const originalURL = `${ document.location.href }?page_id=${ post_id }`; const url = postEndpoint + '?url=' + encodeURIComponent( originalURL ) + '&is_post_share=true' + '&v=5'; const redirect = function () { if ( ! window.open( url, '_blank' ) ) { location.href = url; } }; if ( /Firefox/.test( navigator.userAgent ) ) { setTimeout( redirect, 0 ); } else { redirect(); } }, }; window.wpcom_reblog = wpcom_reblog; })(); </script> <iframe src='https://widgets.wp.com/likes/master.html?ver=20250326#ver=20250326&origin=https://mayurisrao.wordpress.com' scrolling='no' id='likes-master' name='likes-master' style='display:none;'></iframe> <div id='likes-other-gravatars' class='wpl-new-layout' role="dialog" aria-hidden="true" tabindex="-1"> <div class="likes-text"> <span>%d</span> </div> <ul class="wpl-avatars sd-like-gravatars"></ul> </div> <script src="//stats.wp.com/w.js?68" defer></script> <script type="text/javascript"> _tkq = window._tkq || []; _stq = window._stq || []; _tkq.push(['storeContext', {'blog_id':'78317452','blog_tz':'0','user_lang':'en','blog_lang':'en','user_id':'0'}]); _stq.push(['view', {'blog':'78317452','v':'wpcom','tz':'0','user_id':'0','post':'42','subd':'mayurisrao'}]); _stq.push(['extra', {'crypt':'UE5XaGUuOTlwaD85flAmcm1mcmZsaDhkV11YdWFnNncxc1tjZG9XVXhRZmhSYUFEMXVJdlp1Q0ovP3FVLGhZZlM1WDclNU09WXlRVmJFeS98L3NMQz9OREhzfDAlUEFsbW5kMEIwTiVwdT9iT2VNdzdFdDdTK2Jwdnh8SUhQeUtzfmglUUlTZDJUfk18fltIPSZCenZiYnErSzdELCZJb21pNEJneTh2P1tENT9TTHRbZnZ5UStZSDRad2JofFk2MjNtfEt6dDdqS19lcFRdLWNSTWpNT3ZkRlFDQXRQa19wTUpMLU02LGVHLVtrUlFNdWRmQ3ZFJj0sTj9sdzFaR1pBMUVYRH5ZNFl4OUFBaFNXNUpMaGtUY11lQkJtZCsxRWtIXVMvTlR1THotM1cmVkxwRzJ+NUxZVXg/NzFCaWY='}]); _stq.push([ 'clickTrackerInit', '78317452', '42' ]); </script> <noscript><img src="https://pixel.wp.com/b.gif?v=noscript" style="height:1px;width:1px;overflow:hidden;position:absolute;bottom:1px;" alt="" /></noscript> <script defer id="bilmur" data-customproperties="{"enq_jquery":"1","logged_in":"0","wptheme":"pub\/orvis","wptheme_is_block":"0"}" data-provider="wordpress.com" data-service="simple" data-site-tz="Etc/GMT-0" src="/wp-content/js/bilmur-3-4-combined.min.js?i=12&m=202513"></script><div id="marketingbar" class="marketing-bar noskim "><div class="marketing-bar-text">Design a site like this with WordPress.com</div><a class="marketing-bar-button" href="https://wordpress.com/start/?ref=marketing_bar">Get started</a><a class="marketing-bar-link" tabindex="-1" aria-label="Create your website at WordPress.com" href="https://wordpress.com/start/?ref=marketing_bar"></a></div> <script type="text/javascript"> window._tkq = window._tkq || []; window._tkq.push( [ 'recordEvent', 'wpcom_marketing_bar_impression', {"is_current_user_blog_owner":false} ] ); document.querySelectorAll( '#marketingbar > a' ).forEach( link => { link.addEventListener( 'click', ( e ) => { window._tkq.push( [ 'recordEvent', 'wpcom_marketing_bar_cta_click', {"is_current_user_blog_owner":false} ] ); } ); }); </script><script> ( function() { function getMobileUserAgentInfo() { if ( typeof wpcom_mobile_user_agent_info === 'object' ) { wpcom_mobile_user_agent_info.init(); var mobileStatsQueryString = ''; if ( wpcom_mobile_user_agent_info.matchedPlatformName !== false ) { mobileStatsQueryString += '&x_' + 'mobile_platforms' + '=' + wpcom_mobile_user_agent_info.matchedPlatformName; } if ( wpcom_mobile_user_agent_info.matchedUserAgentName !== false ) { mobileStatsQueryString += '&x_' + 'mobile_devices' + '=' + wpcom_mobile_user_agent_info.matchedUserAgentName; } if ( wpcom_mobile_user_agent_info.isIPad() ) { mobileStatsQueryString += '&x_' + 'ipad_views' + '=' + 'views'; } if ( mobileStatsQueryString != '' ) { new Image().src = document.location.protocol + '//pixel.wp.com/g.gif?v=wpcom-no-pv' + mobileStatsQueryString + '&baba=' + Math.random(); } } } document.addEventListener( 'DOMContentLoaded', getMobileUserAgentInfo ); } )(); </script> </body> </html>