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• accounting.js (by Sergey Gerasimov)
• Ace Cloud9 Editor (by Diullei Gomes)
• [Add To Home Screen] (http://cubiq.org/add-to-home-screen) (by [James Wilkins] (http://www.codeplex.com/site/users/view/jamesnw))
• AmCharts (by Covobonomo)
• AngularJS (by Diego Vilar) (wiki)
• AngularUI (by Michel Salib)
• Angular UI Bootstrap (by Brian Surowiec)
• AppFramework (by Kyo Ago)
• Arbiter (by Arash Shakery)
• async (by Boris Yankov)
• Backbone.js (by Boris Yankov)
• Backbone Relational (by Eirik Hoem)
• Bootbox (by Vincent Bortone)
• Bootstrap (by Boris Yankov)
• bootstrap-notify (by Blake Niemyjski)
• bootstrap.datepicker (by Boris Yankov)
• Box2DWeb (by Josh Baldwin)
• Breeze (by Boris Yankov)
• Browser Harness (by Chris Scribner)
• CasperJS (by Jed Hunsaker)
• Cheerio (by Bret Little)
• Chosen (by Boris Yankov)
• Chrome (by Matthew Kimber)
• Chrome App (by Adam Lay)
• CodeMirror (by François de Campredon)
• Commander (by Marcelo Dezem)
• Couchbase / Couchnode (by Basarat Ali Syed)
• Crossfilter (by Schmulik Raskin)
• crypto-js (by Gia Bảo @ Sân Đình). @see cryptojs.d.ts repo
• d3.js (from TypeScript samples)
• dhtmlxGantt (by Maksim Kozhukh)
• dhtmlxScheduler (by Maksim Kozhukh)
• docCookies (by Jon Egerton)
• domo (by Steve Fenton)
• dust (by Marcelo Dezem)
• EaselJS (by Pedro Ferreira)
• ember.js (by Boris Yankov)
• EpicEditor (by Boris Yankov)
• expect.js (by Teppei Sato)
• expectations (by vvakame)
• Express (by Boris Yankov)
• Ext JS (by Brian Kotek)
• Fabric.js (by Oliver Klemencic)
• Fancybox (by Boris Yankov)
• File API: Directories and System (by Kon)
• File API: Writer (by Kon)
• Finite State Machine (by Boris Yankov)
• Firebase (by Vincent Bortone)
• Firefox (by vvakame)
• FlexSlider (by Diullei Gomes)
• Flight by Twitter (by Jonathan Hedrén)
• Foundation (by Boris Yankov)
• FPSMeter (by Aaron Lampros)
• FullCalendar (by Neil Stalker)
• Gamepad (by Kon)
• Giraffe (by Matt McCray)
• glDatePicker (by Dániel Tar)
• GoJS (by Barbara Duckworth)
• Greasemonkey (by Kota Saito)
• GreenSock Animation Platform (GSAP) (by Robert S.)
• Grunt JS (by Jeff May, Basarat Ali Syed and San Chen)
• Google API Client (by Frank M)
• Google App Engine Channel API (by vvakame)
• GoogleMaps (by Esben Nepper)
• Google Geolocation (by Vincent Bortone)
• Google Page Speed Online API (by Frank M)
• Google Translate API (by Frank M)
• Google Url Shortener (by Frank M)
• Hammer.js (by Boris Yankov)
• Handlebars (by Boris Yankov)
• HashSet (by Sergey Gerasimov)
• Hashtable (by Sergey Gerasimov)
• Highcharts (by damianog)
• highlight.js (by Niklas Mollenhauer)
• History.js (by Boris Yankov)
• Html2Canvas.js (by Richard Hepburn)
• Humane.js (by John Vrbanac)
• i18next (by Maarten Docter)
• iCheck (by Dániel Tar)
• Impress.js (by Boris Yankov)
• iScroll (by Boris Yankov and Christiaan Rakowski)
• IxJS (Interactive extensions) (by Igor Oleinikov)
• jake (by Kon)
• Jasmine (by Boris Yankov)
• Jasmine-jQuery (by Gregor Stamac)
• JointJS (by Aidan Reel)
• jQRangeSlider (by Dániel Tar)
• jQuery (from TypeScript samples)
• jQuery Mobile (by Boris Yankov)
• jQuery UI (by Boris Yankov)
• jQuery.Address (by Martin Duparc)
• jQuery.areYouSure (by Jon Egerton)
• jQuery.autosize (by Jack Moore)
• jQuery.BBQ (by Adam R. Smith)
• jQuery.CLEditor (by Jeffery Grajkowski)
• jQuery.clientSideLogging (by Diullei Gomes)
• jQuery.Colorbox (by Gidon Junge)
• jQuery.contextMenu (by Natan Vivo)
• jQuery.Cookie (by Roy Goode)
• jQuery.Cycle (by François Guillot)
• jQuery.dataTables (by Armin Sander)
• jQuery.dynatree (by François de Campredon)
• jQuery.Flot (by Matt Burland)
• jQuery.form (by François Guillot)
• jQuery.Globalize (by Boris Yankov)
• jQuery.gridster (by Josh Baldwin)
• jQuery.jNotify (by James Curran)
• jQuery.joyride (by Vincent Bortone)
• jQuery.noty (by Aaron King)
• jQuery.pickadate (by Theodore Brown)
• jQuery.payment (by Eric J. Smith)
• jQuery.scrollTo (by Neil Stalker)
• jQuery.simplePagination (by Natan Vivo)
• jquery.superLink (by Blake Niemyjski)
• jQuery.timeago (by François Guillot)
• jQuery.Timepicker (by Anwar Javed)
• jQuery.Timer (by Joshua Strobl)
• jQuery.TinyCarousel (by Christiaan Rakowski)
• jQuery.TinyScrollbar (by Christiaan Rakowski)
• jQuery.Transit (by MrBigDog2U)
• jQuery.Validation (by Boris Yankov)
• jQuery.Watermark (by Anwar Javed)
• jQuery.base64 (by Shinya Mochizuki)
• jScrollPane (by Dániel Tar)
• JSDeferred (by Daisuke Mino)
• JSONEditorOnline (by Vincent Bortone)
• jStorage (by Danil Flores)
• JWPlayer (by Martin Duparc)
• KeyboardJS (by Vincent Bortone)
• Knockback (by Marcel Binot)
• Knockout.js (by Boris Yankov)
• Knockout.DeferredUpdates (by Sebastián Galiano)
• Knockout.ES5 (by Sebastián Galiano)
• Knockout.Mapper (by Brandon Meyer)
• Knockout.Mapping (by Boris Yankov)
• Knockout.Postbox (by Judah Gabriel Himango)
• Knockout.Rx (by Igor Oleinikov)
• Knockout.Validation (by Dan Ludwig)
• Knockout.Viewmodel (by Oisin Grehan)
• ko.editables (by Oisin Grehan)
• KoLite (by Boris Yankov)
• Lazy.js (by Bart van der Schoor)
• Leaflet (by Vladimir)
• Libxmljs (by François de Campredon)
• ladda (by Danil Flores)
• Levelup (by Bret Little)
• linq.js (by Marcin Najder)
• Livestamp.js (by Vincent Bortone)
• Lodash (by Brian Zengel)
• Logg (by Bret Little)
• Marked (by William Orr)
• mCustomScrollbar (by [Sarah Williams] (https://github.com/flurg))
• Meteor (by Dave Allen)
• Modernizr (by Boris Yankov and Theodore Brown)
• Moment.js (by Michael Lakerveld)
• MongoDB (from TypeScript samples, updated by Niklas Mollenhauer)
• Mousetrap (by Dániel Tar)
• msgpack.js (by Shinya Mochizuki)
• Mustache.js (by Boris Yankov)
• Node.js (from TypeScript samples)
• node_redis (by Boris Yankov)
• node-ffi (by Paul Loyd)
• node-git (by vvakame)
• node_zeromq (by Dave McKeown)
• node-sqlserver (by Boris Yankov)
• NProgress (by Judah Gabriel Himango)
• Numeral.js (by Vincent Bortone)
• [OpenLayers] (https://github.com/openlayers/openlayers) (by Ilya Bolkhovsky)
• Parallel.js (by Josh Baldwin)
• PDF.js (by Josh Baldwin)
• Persona (by James Frasca)
• PhantomJS (by Jed Hunsaker)
• PhoneGap (by Boris Yankov)
• PixiJS (by Pedro Casaubon)
• Platform (by Jake Hickman)
• PouchDB (by Bill Sears)
• PreloadJS (by Pedro Ferreira)
• QUnit (by Diullei Gomes)
• Raven.js (by Santi Albo)
• Rickshaw (by Blake Niemyjski)
• Riot.js (by vvakame)
• Restify (by Bret Little)
• Royalslider (by Christiaan Rakowski)
• Rx.js (by gsino, Igor Oleinikov, Carl de Billy, zoetrope)
• Raphael (by CheCoxshall)
• Restangular (by Boris Yankov)
• require.js (by Josh Baldwin)
• Sammy.js (by Boris Yankov)
• Select2 (by Boris Yankov)
• Sencha Touch (by Brian Kotek)
• SharePoint (by Stanislav Vyshchepan and Andrey Markeev)
• SignalR (by Boris Yankov)
• simple-cw-node (by vvakame)
• Sinon (by William Sears)
• SlickGrid (by Josh Baldwin)
• smoothie (by Mike H. Hawley)
• socket.io (by William Orr)
• SockJS (by Emil Ivanov)
• SoundJS (by Pedro Ferreira)
• Spin (by Boris Yankov)
• stripe (by Eric J. Smith)
• Store.js (by Vincent Bortone)
• Sugar (by Josh Baldwin)
• Swiper (by Sebastián Galiano)
• SwipeView (by Boris Yankov)
• Tags Manager (by Vincent Bortone)
• Teechart (by Steema)
• three.js (by Kon)
• Toastr (by Boris Yankov)
• trunk8 (by Blake Niemyjski)
• TweenJS (by Pedro Ferreira)
• tween.js (by Adam R. Smith)
• twitter-bootstrap-wizard (by Blake Niemyjski)
• Twitter Typeahead (by Ivaylo Gochkov)
• Ubuntu Unity Web API (by John Vrbanac)
• Underscore.js (by Boris Yankov)
• Underscore.js (Typed) (by Josh Baldwin)
• Underscore-ko.js (by Maurits Elbers)
• UUID.js (by Jason Jarrett)
• Valerie (by Howard Richards)
• Viewporter (by Boris Yankov)
• Vimeo (by Daz Wilkin)
• WebRTC (by Ken Smith)
• websocket (by Paul Loyd)
• WinJS (from TypeScript samples)
• WinRT (from TypeScript samples)
• ws (by Paul Loyd)
• YouTube (by Daz Wilkin)
• YouTube Analytics API (by Frank M)
• YouTube Data API (by Frank M)
• Zepto.js (by Josh Baldwin)
• Zynga Scroller (by Boris Yankov)
• ZeroClipboard (by Eric J. Smith)

Here is an updated list of definitions people have requested