FANDOM


Sandbox

This is a Sandbox, also known as a Laboratory. Please experiment editing here, but don't vandalise.

div.psiepsilon-pseudovector-only {display:none;}

div.psiepsilon-big-fat-notice {

   font-weight:bold; 
   text-align:center;

}

/* div.Pre class used in conjuction with source tag */ div.pre { background-color:#F9F9F9; border:1px dashed #2F6FAB; padding:0.5em 1em; font-family:monospace; }

.external.text {

   background-image:url('//static1.wikia.nocookie.net/psiepsilon/images/e/e0/Arxiv.png');
   background-repeat:no-repeat;
   background-position:right;   

} a.forum-new-post {

   display:none !important;       

} .i18ndoc {

   background-color: #FFF77D;
   border-bottom: 1px solid lightgrey;
   font-family: monospace;
   font-size: 6pt;
   height: 200px;   
   overflow: auto;
   padding: 3px;

} .wikia-infobox-section-header {

    border-top:1px solid gray;  
    border-bottom:1px solid gray;

}

  1. WikiaArticle, .WikiaArticle.article-comm-text { font-size: 12px; }
  2. mw-content-text a.new {
       color: black;            

}

  1. mw-content-text h1 > .mw-headline {
       font-weight: bold;   
       font-size: 20px;

}

  1. mw-content-text h2 > .mw-headline {
       font-weight: bold;
       font-size: 18px; 

}

  1. mw-content-text h3 > .mw-headline {
       font-weight: bold;
       font-size: 15px; 

}

  1. mw-content-text h4 > .mw-headline {
       font-style: italic;
       font-size: 13px;    

} /* Hides image attribution on articles */

.picture-attribution { display:none !important; }

/* Centralise; Italicise Infobox headings */  

.wikia-infobox th.wikia-infobox-header {

       text-align: center;
       font-style: italic; 
}
/**Sandbox Heading**/   
.psiepsilon-sandbox-header {
    text-align:center;  
    font-size:30px; 
    font-weight:bold; 
    font-family:"Times New Roman";
    border:5px solid gray;      
    padding:10px; 
 } 
 /** Sandbox Archive Heading **/             
 .psiepsilon-sandbox-archive-header { 
     font-size:27px; 
     font-weight:bold;
     font-style:italic;
     font-family:"Times New Roman";
     text-align:center; 
 } 
 /** Featured Article Border and Box**/     
 .psiepsilon-featured-article { 
     border: 5px solid gray;  
     font-family: "Calibri";    
     padding: 7px;
 }
 /** Smaller   "Read More" **/    
 .psiepsilon-read-more { 
     font-size: 9px; 
 }
 /**.psiepsilon-mainpage {
     -webkit-transform: scale(0.9); 
     -webkit-transform-origin: 0 0;
     -moz-transform: scale(0.9); 
     -moz-transform-origin: 0 0; 
     -o-transform: scale(0.9); 
     -o-transform-origin: 0 0; 
     -ms-transform: scale(0.9); 
     -ms-transform-origin: 0 0;  
     transform-origin: 0 0;          
     transform: scale(0.9);  
 }**/  

 h1 {font-weight:bold;}
  • {font-family:Arial !important;}





C:/Users/APS/Desktop/Promote.svg

<wikiactivity/>

<recent-activity/>


ARCHIVE

<toplist related="Mathematics and Physics Wiki" picture="Block.png" description="Electing New Admins (not yet), just a test. " lastupdate="20131207045231" /> data:image/svg+xml;base64,<?xml version="1.0"?>
<svg width="480" height="320" xmlns="http://www.w3.org/2000/svg" xmlns:svg="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
 <!-- Created with SVG-edit - http://svg-edit.googlecode.com/ -->
 <defs>
  <filter id="svg_1_blur" x="-50%" y="-50%" width="200%" height="200%">
   <feGaussianBlur stdDeviation="2.9"/>
  </filter>
  <filter id="svg_27_blur">
   <feGaussianBlur stdDeviation="1" in="SourceGraphic"/>
  </filter>
  <filter id="svg_2_blur">
   <feGaussianBlur stdDeviation="1" in="SourceGraphic"/>
  </filter>
 </defs>
 <g>
  <title>Layer 1</title>
  <path fill="#ffffff" stroke-width="5" d="m205.755737,171.201965c18.662567,-11.553345 92.556183,-10.269653 53.717896,54.771423c-38.838287,65.041077 -72.380447,-43.218079 -53.717896,-54.771423z" id="svg_1" transform="rotate(115.231 235.52 206.133)" filter="url(#svg_1_blur)" stroke="#000000"/>
  <text fill="#000000" stroke-width="0" stroke-dasharray="null" stroke-linejoin="null" stroke-linecap="null" x="363.789559" y="205.105584" id="svg_3" font-size="24" font-family="Euclid" text-anchor="middle" xml:space="preserve" transform="matrix(0.619991 0 0 0.739142 31.9544 19.4941)" stroke="#000000" font-style="italic" font-weight="normal">From the simplest equations of Arithmetic...</text>
  <image x="207" y="131.999999" width="81" height="29.000001" id="svg_4" xlink:href="http://upload.wikimedia.org/math/0/c/f/0cfae383362bc63d7ac429a5755fef05.png"/>
  <image x="280" y="184" id="svg_8" xlink:href="http://upload.wikimedia.org/math/0/c/f/0cfae383362bc63d7ac429a5755fef05.png"/>
  <text fill="#000000" stroke-width="0" stroke-dasharray="null" stroke-linejoin="null" stroke-linecap="null" x="396.032154" y="251.285714" id="svg_16" font-size="24" font-family="Euclid" text-anchor="middle" xml:space="preserve" font-style="italic" transform="matrix(0.608957 0 0 0.875 4.83339 32.625)" stroke="#000000">to the mystical ones of String Theory</text>
  <text fill="#000000" stroke="#000000" stroke-width="0" stroke-dasharray="null" stroke-linejoin="null" stroke-linecap="null" x="245" y="285" id="svg_18" font-size="24" font-family="Euclid" text-anchor="middle" xml:space="preserve" font-weight="bold">We will cover them all!</text>
  <text fill="#000000" stroke-width="0" stroke-dasharray="null" stroke-linejoin="null" stroke-linecap="null" x="298.123777" y="90" id="svg_19" font-size="24" font-family="Euclid" text-anchor="middle" xml:space="preserve" font-weight="bold" font-style="italic" transform="matrix(0.875469 0 0 1.39973 -16.9981 -11.7653)" stroke="#000000">Mathematics and Physics Wiki</text>
  <image x="135" y="199" id="svg_20" xlink:href="http://upload.wikimedia.org/math/0/c/f/0cfae383362bc63d7ac429a5755fef05.png"/>
  <image x="58.000003" y="189.999999" width="393.000005" height="47.000001" id="svg_23" xlink:href="http://upload.wikimedia.org/math/7/c/f/7cf1d2498664313e8b366460886abdd8.png"/>
  <image x="284" y="202" width="47" height="2" id="svg_24" xlink:href="http://upload.wikimedia.org/math/7/c/f/7cf1d2498664313e8b366460886abdd8.png"/>
  <image x="348" y="208" id="svg_25" xlink:href="http://upload.wikimedia.org/math/7/c/f/7cf1d2498664313e8b366460886abdd8.png"/>
  <image x="325" y="217" id="svg_26" xlink:href="http://upload.wikimedia.org/math/7/c/f/7cf1d2498664313e8b366460886abdd8.png"/>
  <text filter="url(#svg_27_blur)" transform="rotate(-10 214 47.375)" font-weight="bold" fill="#ffff00" stroke-width="0" stroke-dasharray="null" stroke-linejoin="null" stroke-linecap="null" x="214" y="70" id="svg_27" font-size="69" font-family="Euclid Symbol" text-anchor="middle" xml:space="preserve" stroke="#000000">Y</text>
  <text filter="url(#svg_2_blur)" font-style="italic" stroke="#000000" transform="rotate(10 268.041 41.232) matrix(1 0 0 1.21186 0 -17.5847)" xml:space="preserve" text-anchor="middle" font-family="Euclid Symbol" font-size="69" id="svg_2" y="71.930071" x="268" stroke-width="0" fill="#0000ff">e</text>
  <path d="m192.658646,35.000389c0.901016,0.100113 1.868973,-0.024551 2.585449,0.440495c0.75061,0.487202 1.4151,0.965622 2.129868,1.449505c0.715042,0.484074 0.926514,1.428112 1.311615,2.191669c0.384384,0.762123 0.753326,1.557587 0.969971,2.42709c0.210312,0.844036 0.499313,1.672077 0.747101,2.531437c0.235107,0.815376 0.587555,1.61993 0.765594,2.47279c0.167892,0.804272 0.204163,1.742111 0.510574,2.539963c0.307663,0.801132 0.773529,1.551846 1.191208,2.345413c0.405121,0.769714 1.025803,1.400894 1.536804,2.027218c0.5979,0.732826 1.031921,1.532047 1.7742,2.009869c0.746109,0.480282 1.590378,0.738132 2.465637,0.78849c0.894806,0.051483 1.887695,0.240051 2.032303,-0.430489c0.183014,-0.848576 0.157333,-1.812317 -0.111557,-2.640728c-0.261887,-0.806812 -0.856598,-1.483555 -0.99823,-2.331944c-0.145889,-0.873917 0.056686,-1.802692 -0.192581,-2.648773c-0.248581,-0.843739 -0.655792,-1.617565 -0.814819,-2.421215c-0.186386,-0.941944 0.040665,-1.861187 -0.085297,-2.741756c-0.124313,-0.868977 -0.411423,-1.699665 -0.630188,-2.4669c-0.260712,-0.914318 -0.285889,-1.815472 -0.385895,-2.656345c-0.100281,-0.843159 -0.289124,-1.728416 -0.485352,-2.536995c-0.208588,-0.85952 -0.050064,-1.777439 -0.100372,-2.658531c-0.05014,-0.878139 -0.460892,-1.534349 -0.865265,-2.265873c-0.373444,-0.675564 0.28833,-0.038622 0.3647,0.925661c0.071594,0.904024 0.260162,1.633078 0.64325,2.431108c0.383881,0.799686 -0.591812,0.753304 -0.743362,-0.051392c-0.166794,-0.885643 -0.266403,-1.714962 -0.372025,-2.614149c-0.106308,-0.905022 -0.109024,-1.775202 -0.258163,-2.622423c-0.155701,-0.884523 -0.549271,-1.882372 -1.402115,-1.802567c-0.874847,0.081863 -1.671875,0.500565 -2.49147,0.500565c-0.927582,0 -1.844543,-0.00672 -2.636902,0.129612c-0.945724,0.162718 -1.728073,0.695822 -2.613953,0.571178c-0.826508,-0.116287 -1.159439,-1.037828 -1.13768,-1.93218c0.021149,-0.869394 0.866394,-1.197069 1.739059,-1.347219c0.864594,-0.148762 1.652115,-0.422874 2.575806,-0.625004c0.857452,-0.187632 1.744049,-0.200226 2.636002,-0.200226c0.880768,0 1.685699,-0.107372 2.602036,-0.396849c0.848038,-0.2679 1.692444,-0.482294 2.519028,-0.633781c0.911942,-0.16713 1.786026,-0.287945 2.67804,-0.387636c0.878571,-0.098188 1.705551,-0.265604 2.582779,-0.382698c0.848572,-0.11327 1.689911,-0.380947 2.493347,-0.562769c0.933151,-0.211178 1.768951,-0.334044 2.664459,-0.46706c0.884262,-0.131346 1.744156,-0.120148 2.637787,-0.272707c0.856796,-0.146269 1.814133,-0.539833 2.623093,-0.171661c0.767838,0.349459 -0.068817,1.14352 -0.589905,1.84882c-0.509827,0.690071 -0.47287,0.706728 0.235229,0.277714c0.783325,-0.47459 0.91864,0.038635 0.138458,0.395695c-0.832535,0.38102 -1.637115,0.743319 -2.448608,0.994272c-0.86261,0.266762 -1.703659,0.307056 -2.621277,0.358271c-0.891693,0.049768 -1.761261,0.246683 -2.468384,0.740835c-0.711121,0.496952 -0.873749,1.417385 -0.783813,2.283775c0.091446,0.880915 0.274872,1.715387 0.489212,2.551277c0.215729,0.841297 0.66626,1.648327 0.720688,2.534327c0.051239,0.834038 0.140442,1.711185 0.439423,2.447426c0.324615,0.79937 0.338058,1.720718 0.478271,2.591591c0.143051,0.888493 0.251328,1.755634 0.454376,2.599598c0.200623,0.833855 0.325485,1.688583 0.329849,2.584381c0.004272,0.878086 0.378586,1.6502 0.703323,2.454903c0.326691,0.809555 0.363281,1.712582 0.500107,2.589321c0.123444,0.791027 0.183609,1.755032 0.198151,2.652992c0.014221,0.878132 0.43248,1.702583 0.55809,2.564358c0.126251,0.866135 -0.195877,2.083904 0.379364,2.256012c0.797455,0.23859 1.667389,-0.552334 2.486664,-0.844421c0.817993,-0.291634 1.724884,-0.704792 2.165512,-1.489811c0.427017,-0.760765 0.362442,-1.721123 0.615204,-2.567596c0.251434,-0.84203 0.466415,-1.682201 0.732529,-2.523346c0.264038,-0.834564 0.549042,-1.568264 0.763046,-2.469986c0.200607,-0.845268 -0.022064,-1.68438 -0.091827,-2.543804c-0.068253,-0.840786 -0.115295,-1.768482 -0.458389,-2.548607c-0.35347,-0.803696 -0.59227,-1.639732 -0.64241,-2.517105c-0.050827,-0.889557 -0.168091,-1.676586 -0.283707,-2.627365c-0.106964,-0.879616 -0.329468,-1.705036 -0.200623,-2.60854c0.114273,-0.801363 0.610153,-1.620401 1.179474,-2.297392c0.574326,-0.682945 1.286285,-1.119692 2.176666,-1.335724c0.881699,-0.213924 1.710312,-0.436325 2.563873,-0.67174c0.854767,-0.23575 1.694595,-0.100113 2.642807,-0.100113c0.867157,0 1.793427,-0.047911 2.672775,-0.098028c0.890427,-0.050751 1.89389,0.668915 1.407837,1.399496c-0.495117,0.744213 -1.578842,0.800549 -2.183029,1.406853c-0.585724,0.587778 -0.418427,1.510284 -0.57312,2.364601c-0.153656,0.848583 -0.608353,1.757259 -0.332108,2.589321c0.256058,0.77124 0.520889,1.561825 0.697189,2.409115c0.17627,0.847115 0.47377,1.694099 0.539551,2.612816c0.062927,0.878895 0.20314,1.74778 0.30394,2.603069c0.104904,0.890114 -0.128265,1.743931 -0.492157,2.552879c-0.343536,0.763706 -0.881454,1.44767 -1.210831,2.265087c-0.333221,0.826958 -0.634628,1.637241 -1.083466,2.41589c-0.437241,0.758522 -1.048294,1.398987 -1.585144,2.089993c-0.530594,0.682961 -1.179749,1.310616 -1.883575,1.843029c-0.686752,0.519501 -1.443253,0.994316 -2.233734,1.38541c-0.791107,0.391403 -1.544891,0.804203 -2.341309,1.136215c-0.815964,0.340164 -1.651627,0.531219 -2.472656,0.622368c-0.947067,0.105141 -1.869003,0.041763 -2.614548,0.505836c-0.667038,0.415199 -0.576157,1.399189 -0.478943,2.26469c0.097366,0.866886 0.255417,1.69149 0.702942,2.436779c0.451172,0.751354 -0.085739,2.139297 0.676025,2.471359c0.657532,0.286629 1.438004,-0.680489 2.263138,-0.735565c0.908722,-0.060654 1.755264,0.182968 2.661804,0.357201c0.877579,0.168663 1.770416,0.190697 2.634033,0.093307c0.897888,-0.101257 2.021744,-0.610687 2.452774,-0.033371c0.52179,0.698891 -0.29718,1.658775 -1.118866,1.742767c-0.931107,0.095177 -1.804169,0.142693 -2.752579,0.142693c-0.878189,0 -1.787491,-0.144882 -2.63382,0.102196c-0.83902,0.244942 -1.614777,0.696823 -2.43483,0.893211c-0.85968,0.205879 -1.692108,0.159111 -2.623886,0.263481c-0.935425,0.104782 -1.598434,0.239204 -2.642715,0.317291c-0.850082,0.063568 -1.757553,0.130699 -2.582169,0.39032c-0.870941,0.2742 -1.64975,0.586296 -2.504639,0.918221c-0.796585,0.309288 -1.63266,0.610229 -2.481064,0.819458c-0.850006,0.209618 -1.683792,0.369011 -2.503891,0.672089c-0.825073,0.304916 -1.76059,0.464783 -2.606537,0.229996c-0.811508,-0.225227 -1.458008,-1.176208 -1.246735,-2.023354c0.20108,-0.806297 1.171646,-1.257103 2.019745,-1.281441c0.903168,-0.025917 1.785965,0 2.638107,0c0.928177,0 1.808472,0.073929 2.685165,-0.105835c0.843338,-0.17292 1.838226,-0.22303 2.468048,-0.778496c0.632904,-0.558182 -0.056931,-1.318146 -0.300339,-2.119057c-0.24826,-0.816872 -0.062592,-1.740002 -0.505844,-2.47279c-0.445358,-0.736282 -0.278915,-1.442707 -0.283722,-2.189404c-0.004944,-0.768101 -1.264206,-0.815571 -2.17218,-0.844017c-0.897903,-0.02813 -1.798538,0.040867 -2.66127,-0.083427c-0.837418,-0.120647 -1.696976,-0.424946 -2.528229,-0.687977c-0.815689,-0.258106 -1.688293,-0.541782 -2.572327,-0.630177c-0.868515,-0.086845 -1.742355,0.071125 -2.539307,-0.056316c-0.972092,-0.155449 -1.707703,-0.731697 -2.306763,-1.359867c-0.560715,-0.587963 -0.984863,-1.473373 -1.249359,-2.230045c-0.295914,-0.846554 -1.042099,-1.327618 -1.440536,-2.201435c-0.343704,-0.753796 -0.428925,-1.710434 -0.902084,-2.438618c-0.469055,-0.721855 -0.893478,-1.513176 -1.237778,-2.346378c-0.336838,-0.815174 -0.402603,-1.556953 -0.424088,-2.529518c-0.020279,-0.918575 -0.357559,-1.680756 -0.465256,-2.584518c-0.109192,-0.916298 -0.273956,-1.810471 -0.858383,-2.471718c-0.548508,-0.620609 -1.525345,-0.752903 -2.411026,-0.80304c-0.869141,-0.049198 -2.152802,0.037334 -2.372223,-0.764462c-0.219955,-0.803711 0.733231,-1.510906 1.333908,-2.112652l0.820114,-0.3265l0.829208,-0.191685" id="svg_9" stroke-linecap="null" stroke-linejoin="null" stroke-dasharray="null" stroke-width="0" stroke="#000000" fill="#ff0000"/>
  <polyline id="svg_10" points="226.39669359752293,50.51788985945071 227.18905393048001,50.766570334568485 " stroke-linecap="round" stroke-linejoin="null" stroke-dasharray="null" stroke-width="0" stroke="#000000" fill="none"/>
  <path d="m257.932251,47.614616c-0.952545,0.300339 -1.836914,0.565071 -2.550781,1.053268c-0.732208,0.50074 -1.248627,1.271992 -1.645538,2.070255c-0.392181,0.788761 -0.828369,1.535278 -1.304276,2.2771c-0.467331,0.728474 -1.007965,1.441105 -1.277573,2.273296c-0.264145,0.815292 -0.229034,1.719082 -0.329834,2.577641c-0.103943,0.885376 0.035446,1.763344 -0.016693,2.663006c-0.049713,0.85775 -0.290314,1.77504 -0.082352,2.639374c0.205933,0.855927 0.742859,1.584602 1.407654,2.173187c0.641769,0.568192 1.436462,1.040298 2.058777,1.658333c0.639313,0.634926 1.234573,1.282059 1.882278,1.880188c0.654449,0.604355 1.437286,0.962296 2.319275,1.142555c0.842072,0.172096 1.661469,0.514519 2.522308,0.661018c0.87085,0.148201 1.746124,0.072731 2.610931,0.121666c0.923859,0.052277 1.83255,0.05069 2.594543,-0.373283c0.770264,-0.428581 1.570892,-0.731071 2.444763,-0.990456c0.845856,-0.251076 1.565002,-0.688805 2.331146,-1.105865c0.74646,-0.406349 1.559662,-0.846786 2.217773,-1.429527c0.658752,-0.583321 1.007538,-1.418083 1.236115,-2.27256c0.225098,-0.841431 0.387939,-1.857487 -0.386139,-1.71405c-0.84903,0.157326 -1.688721,0.495296 -2.397522,0.988949c-0.746246,0.519733 -1.548706,0.866337 -2.342102,1.217121c-0.792511,0.350395 -1.518768,0.814476 -2.277374,1.253014c-0.753784,0.435745 -1.627167,0.557564 -2.508026,0.557564c-0.903961,0 -1.781372,0.049843 -2.66275,0.099976c-0.894012,0.05085 -1.833435,0.124832 -2.626556,-0.216774c-0.802673,-0.345718 -1.582062,-0.768265 -2.339447,-1.213234c-0.766632,-0.450394 -1.212845,-1.287399 -1.992126,-1.673355c-0.757782,-0.375305 -1.213776,-1.074589 -1.508743,-1.890667c-0.292221,-0.808472 -0.532913,-1.667999 -0.583588,-2.564358c-0.050293,-0.889587 -0.081543,-1.782883 0.022156,-2.663006c0.101593,-0.862251 0.39502,-1.698662 0.836273,-2.452766c0.44313,-0.757332 1.108185,-1.337536 1.642242,-2.040165c0.539032,-0.709164 0.975479,-1.471302 1.820602,-1.661476c0.852356,-0.191803 1.711304,-0.464298 2.536469,-0.741287c0.828827,-0.27821 1.68396,-0.496567 2.552856,-0.502647c0.901001,-0.006306 1.176147,0.35445 0.290344,0.200226c-0.853668,-0.148628 -1.625275,0.5881 -0.939453,1.000996c0.760071,0.4576 1.776672,0.122845 2.618011,0.267101c0.864746,0.148273 1.731049,0.283573 2.61734,0.33371c0.834137,0.047188 1.79422,0.154743 2.659393,-0.042583c0.85318,-0.194588 1.33136,-0.926193 1.844238,-1.638783c0.503357,-0.699364 0.431915,-1.323181 -0.439026,-1.479668c-0.819763,-0.147285 -1.754517,-0.234379 -2.590546,-0.385502c-0.878998,-0.158894 -1.753296,-0.257755 -2.649963,-0.257755c-0.883209,0 -1.706512,-0.019489 -2.669037,0c-0.871979,0.017654 -1.880615,0.230591 -2.426514,-0.433823c-0.543823,-0.66188 -0.423157,-1.647152 -0.617371,-2.510567c-0.189392,-0.841919 -0.482422,-1.674282 -0.300354,-2.525379c0.183289,-0.856834 0.081757,-1.799805 0.429169,-2.616154c0.339478,-0.797737 1.154083,-1.303215 1.783325,-1.935383c0.616425,-0.619278 1.413055,-0.992725 2.259216,-1.30814c0.819519,-0.305492 1.63681,-0.63504 2.466583,-0.784218c0.860718,-0.154736 1.771545,-0.200226 2.648254,-0.200226c0.90863,0 1.78775,-0.009132 2.605225,0.127743c0.911865,0.152679 1.788055,0.352413 2.544861,0.801838c0.754974,0.448345 1.594421,0.670475 2.419128,0.974701c0.822662,0.303467 1.544556,0.820026 2.089142,1.479401c0.553467,0.670109 0.762634,1.633747 1.47287,2.200081c0.624603,0.498055 1.468262,-0.119862 1.896271,-0.858433c0.425079,-0.733509 0.323792,-1.596085 0.123047,-2.447044c-0.202911,-0.860168 -0.00592,-1.854588 -0.646912,-2.383671c-0.685822,-0.566105 -1.5177,-0.846107 -2.36792,-1.212769c-0.796295,-0.34341 -1.607208,-0.635715 -2.400635,-0.930218c-0.879639,-0.326504 -1.759674,-0.476185 -2.615051,-0.677063c-0.832855,-0.195583 -1.744659,-0.37221 -2.601257,-0.378292c-0.873413,-0.006201 -1.761536,-0.052475 -2.676117,0c-0.87384,0.050138 -1.627869,0.584953 -2.461334,0.843483c-0.826721,0.256435 -1.776367,0.208652 -2.563416,0.593853c-0.790009,0.386639 -1.481934,0.936329 -2.270294,1.345535c-0.783234,0.406548 -1.520935,0.807213 -1.833801,1.451904c-0.371124,0.764713 -1.288086,1.165398 -1.693512,1.912022c-0.426361,0.78521 -0.417755,1.682018 -0.508972,2.573036c-0.088409,0.863701 -0.508972,1.672726 -0.622833,2.547142c-0.109619,0.841736 0.299377,1.598198 0.422607,2.458504c0.119781,0.836246 0.960144,1.065327 1.541748,1.685768c0.377228,0.402412 -0.620331,0.759392 -1.472137,1.202675c-0.760132,0.395576 -1.576889,0.793018 -2.247009,1.323776c-0.693924,0.549606 -1.300476,1.257401 -1.780457,1.997635c-0.472198,0.728226 -0.897598,1.46154 -1.531677,2.089508c-0.614471,0.608543 -0.956833,1.422993 -1.314545,2.235321c-0.347717,0.789619 -0.629364,1.643757 -0.598557,2.540062c0.029587,0.860714 0.39473,1.668282 0.39473,2.562893c0,0.891136 -0.20929,1.863171 0.240265,2.609341c0.458389,0.760841 1.370331,1.083473 2.057999,1.651184c0.656799,0.542221 1.328232,1.118813 1.892319,1.802177c0.544601,0.65976 1.054596,1.413536 1.80191,1.914146c0.733856,0.491585 1.401703,1.105377 2.204895,1.374901c0.842438,0.282692 1.761108,0.386284 2.644836,0.228607c0.850647,-0.151772 1.548035,-0.605553 2.480652,-0.722504c0.878235,-0.11013 1.77121,-0.109489 2.615082,-0.261093c0.843079,-0.151459 1.657745,-0.441292 2.482819,-0.719963c0.835449,-0.282173 1.657349,-0.618111 2.433014,-0.970345c0.824005,-0.374191 1.704681,-0.685463 2.222229,-1.380219c0.528168,-0.708992 1.205017,-1.59581 0.850952,-2.41272c-0.328979,-0.759045 -1.51712,-0.682274 -2.212494,-0.152306c-0.685883,0.522743 -1.392761,1.029633 -2.218079,1.402916c-0.814636,0.368439 -1.585266,0.702637 -2.377106,1.095367c-0.788361,0.391006 -1.670624,0.45163 -2.596436,0.505081c-0.857697,0.049522 -1.749756,0.16053 -2.639923,0.112282c-0.876221,-0.047493 -1.741638,-0.248932 -2.613556,-0.400452c-0.852905,-0.148224 -1.738586,-0.229614 -2.483734,-0.733627c-0.683807,-0.462517 -1.281509,-1.036674 -1.763321,-1.869308c-0.444839,-0.768745 -0.728821,-1.604744 -1.106308,-2.370941l-0.412064,-0.815987l-0.444107,-0.753918l-0.348251,-0.784485" id="svg_12" stroke-linecap="null" stroke-linejoin="null" stroke-dasharray="null" stroke-width="0" stroke="#000000" fill="#000000"/>
  <polyline id="svg_13" points="258.13248691971853,47.314276653424656 257.2335563912047,47.6146153914896 " stroke-linecap="round" stroke-linejoin="null" stroke-dasharray="null" stroke-width="0" stroke="#000000" fill="none"/>
 </g>
</svg>

Talk:123 (edit|article|history|links|watch|logs)
Book talk:123 (edit|book|history|links|watch|logs)
Book:123 (edit|talk|history|links|watch|logs)
MediaWiki talk:!23 (edit|message|history|links|watch|logs)
MediaWiki:123 (edit|talk|history|links|watch|logs)
User:123 (edit|talk|history|links|watch|logs)

http://i.stack.imgur.com/KwRpa.jpg

http://i.stack.imgur.com/KwRpa.jpg ♙+♙=2


♙+♙=2 Failed to parse (lexing error): ♙+♙=2

♙+♙=2 ♙+♙=2 .


String Theory
Stringinteractions
All Roads Lead to String Theory (Polchinski)
Prior to the First Superstring Revolution
Early History S-Matrix Theory
Regge Trajectory
Bosonic String Theory Worldsheet
String
Bosonic String Theory
String Perturbation Theory
Tachyon Condensation
Supersymmetric Revolution Supersymmetry
RNS Formalism
GS Formalism
BPS
Superstring Revolutions
First Superstring Revolution GSO Projection
Type II String Theory
Type IIB String Theory
Type IIA String Theory
Type I String Theory
Type H String Theory
Type HO String Theory
Type HE String Theory
Second Superstring Revolution T-Duality
D-Brane
S-Duality
Horava-Witten String Theory
M-Theory
Holographic Principle
N=4 Super-Yang-Mills Theory
AdS CFT
BFSS Matrix Theory
Matrix String Theory
(2,0) Theory
Twistor String Theory
F-Theory
String Field Theory
Pure Spinor Formalism
After the Revolutions
Phenomenology String Theory Landscape
Minimal Supersymmetric Standard Model
String Phenomenology


Ambox warning blue construction

This article or section is in the midst of a heavy restructuring or expansion process. Feel free to contribute by participating in this process.


The AdS/CFT correspondence is an implementation of the Holographic Principle relating String Theory in Anti de Sitter Space to a Conformal Field Theory on the conformal boundary of that space.

monkey

monkey

Intuition

Consider the Holographic Principle. The principle tells us that all information stored within a region is encoded on it's boundary. See Holographic Principle for the intuition behind this principle. Now, this applies to any region, including anAnti-de Sitter Space. The Anti-de Sitter Space has a conformal boundary, on which a Conformal Field Theory,or CFT, is defined. Therefore, a Quantum Gravitational Theory in Anti-de Sitter Space, or AdS (space) for short, is equivalent to aConformal Field Theory on it's Conformal Boundary..

Examples

BFSS Matrix Theory

Main Article: BFSS Matrix Theory

BFSS Paper

U(N) Matrix String Theory

Main Article: Matrix String Theory

Motl's IIA matrix string

O(N) Matrix String Theory

Main Article: Matrix String Theory

Motl's HE matrix string

Maldacena's Original Example

Maldacena's paper discusses three examples, in which the dual theories are N=4 Super-Yang-Mills Theory, (2,0) Theory, andABJM Theory (but the equations for ABJM Theory were not figured out until 2008).

More details

The new VisualEditor is now available to enable in the Labs section of [1]. We've been making updates over the past few weeks, to make sure this feature is ready to be the default editing experience for communities that choose to activate it. Those include:

  • Adding options to change the filename and set the license for newly added images
  • Making sure redlinks and Special:CreatePage connect the user to the new editing experience
  • Adding an option for viewing and editing source to the "More" toolbar

Also note that users who prefer to only use source mode can still set their account preferences accordingly.

We're looking forward to hearing about how VisualEditor is working on different communities. Remember that it's still available to try out on the Community Test Wikia. The best way to send us feedback and suggestions is to use the GiveFeedback button that can be found next to all of the Labs options in Special:WikiFeatures. If you're an admin who's enabled VisualEditor, please let us know how the newer users in your community are doing. Has it helped them make better edits?

This is only the beginning of the story! In the new year, we'll be building more tools to manage images and videos, making improvements to template editing, and working toward support for Internet Explorer users. Be sure to let us know what you want to see next for the new VisualEditor!

Update: After enabling the VisualEditor, there may be a 2-5 minute delay before it works on every page on your community. Please be patient, or try holding Shift when you click the edit button. We're working to fix this issue.


Buurp. n

Burp. [[2]]

Burp. [[3]]

Burp. Buurp.

Pootty.

HELP! I am a sock of Dimension10, and am used in his evil experiments, like, substituting my message wall greeting so that everyone can see it! I need help!

If I do anything wrong, you'll have to report it to him, so that, well, I guess I'll be blocked : (

Sockpuppet

I am a puppet who wears socks

  • Recent contributions
  • Project:Community Portal|Community
    • Blog:Recent_posts|Blog
    • Forum:Index|Forum
    • Chat:Index|Chat
    • Laboratory|Lab
    • topusers#|Users with most contributions
  • Organisation:All Articles|All Articles
    • Organisation:Mathematics|Mathematics
      • Organisation:Arithmetic|Arithmetic
      • Organisation:Pre-Algebra|Pre-Algebra
      • Organisation:Elementary Algebra|Elementary Algebra
      • Organisation:Euclidean Geometry|Euclidean Geometry
      • Organisation:Trigonometry|Trigonometry
      • Organisation:Pre-Calculus|Pre-Calculus
      • Organisation:Calculus|Calculus
      • Organisation:Linear & Matrix Algebra|Linear & Matrix Algebra
      • Organisation:Abstract Algebra|Abstract Algebra
      • Organisation:Clifford Algebra|Clifford Algebra
      • Organisation:Lie Algebra|Lie Algebra
      • Organisation:Other (Mathematics)|Other (Mathematics)
    • Organisation:Physics|Physics
      • Organisation:Kinematics|Kinematics
      • Organisation:Classical Mechanics|Classical Mechanics
      • Organisation:Classical Field Theory|Classical Field Theory
      • Organisation:Relativity|Relativity
      • Organisation:Quantum Mechanics|Quantum Mechanics
      • Organisation:Quantum Field Theory|Quantum Field Theory
      • Organisation:String Theory and Supersymmetry|String Theory and Supersymmetry
      • Organisation:Other (Physics)|Other (Physics)
      • Organisation:Foundations|Foundations of Physics
      • Organisation:Experimental Physics|Experimental Physics
    • Organisation:Mathematicians|Mathematicians
    • Organisation:Physicists|Physicists
    • Organisation:Learn More|Learn More

<table/>

HUH?

String Theory
Stringinteractions
All Roads Lead to String Theory (Polchinski)
Prior to the First Superstring Revolution
Early History S-Matrix Theory; Regge Trajectory
Bosonic String Theory Worldsheet; String; Bosonic String Theory; String Perturbation Theory; Tachyon Condensation
Supersymmetric Revolution Supersymmetry; RNS Formalism; GS Formalism; BPS
Superstring Revolutions
First Superstring Revolution GSO Projection; Type II String Theory; Type IIB String Theory; Type IIA String Theory; Type I String Theory; Type H String Theory; Type HO String Theory; Type HE String Theory
Second Superstring Revolution T-Duality; D-Brane; S-Duality; Horava-Witten String Theory; Townsend String Theory; M-Theory; Holographic Principle; N=4 Super-Yang-Mills Theory; AdS CFT; BFSS Matrix Theory; Matrix String Theory; (2,0) Theory; Twistor String Theory; F-Theory; String Field Theory; Pure Spinor Formalism
After the Revolutions
Phenomenology String Theory Landscape; Minimal Supersymmetric Standard Model; String Phenomenology

Documentation[create]


Special:MyPage

{{User:visitor}}

<script type="text/javascript"> var elem = mw.html,

       qstring = (window.location.search) ? '&' : '?',
       $username = visitor, new elem.Raw(
               elem.element('a', {
                   href: http://psiepsilon.wikia.com/wiki/Special:MyPage,
                   title: 'visitor ',
               }, (window.qqxText || 'QQX'))));
   $('.tools').append($username);  

</script>


? [1]

References

  1. 1



I am currently slightly less active than usual here, because I'm usually on Physics Overflow. But I am definitely not gone.

Note, I am also operating a bot, AutoWikiBrowser. If my edit is marked as minor, it's likely that the edit was done by me through the bot.

Padlock-red.png

Laboratory is permanently protected from editing by a knife since it is . If you edit it, the user will immediately be stabbed, and their ghost will appear in your house and kill you, and your name is visitor, I know. I'll tell the user's ghost, too.


(*joke*)

Click: http://img2.wikia.nocookie.net/psiepsilon-test/images/5/56/Box.svg




















Hello visitor. I am Dimension10. My personal blog is at http://www.psiepsilon.wordpress.com. You can find my full details on the "A brief overview of this blog" (the "About") page of my blog.

VibratingStringEmbeddedInStringySpace This user has a keen interest in String Theory.
Braid-modular-group-cover This user has a keen interest in Abstract Algebra.
CliffordAlgebra-01 This user has a keen interest in Clifford Algebra.
E8Petrie This user has a keen interest in Lie Algebra.
ALF logo This user believes in Animal Rights.
Stringinteractions This user believes in String Theory.
a/a2/The_one_ring_animated.gif" width="40px" height="40px" title="mathematics is the physics of the multiverse" style="display: inline-block;" This user believes that the "Physics" of the Multiverse is Mathematics.
Admin This user is an Administrator on Psi Epsilon.
Founder This user is the Founder of Psi Epsilon.
RollBack This user has Rollback and ChatKick rights on Psi Epsilon.

  • Dimension10

    Some future plans about this wiki...


    There are obviously many more sites and books to learn more about Mathematics and Physics. It makes a lot of sense to make articles on each of these. I plan to classify them into a section, "Learn More". Some planned articles:


    Physics Overflow is a planned Q & A site for high-level (graduate and beyond) Physics. Read more at Schrodinger's Cat Strikes Back! or Discussion on Old and New Theoretical Physics Forum at The Reference Frame.

    It is also planned that the tag wikis for Physics Overflow will be hosted on PsiEpsilon.


    The Reference Frame, also known as TRF, is a Physics blog by Lubos Motl It is an excellent resource once you have mastered textbook material. It covers recent theoretical, ph…




    Read more >
  • Dimension10


    I need to justify why I made the "Organisation:..." change to the manually made categories, like String Theory and Supersymmetry.


    I started this idea of having manually made categories, because most users who visit this wiki probably know about Wikipedia, and would try to use the sort of URLs on wikipedia/. If the wikipedia url, for example, was ".

    It makes things too complicated and annoying. And I'll need to add "1.", "2.", etc. to the article defaultsorted names.


    It would mean contacting wikia through Special:Contact, taking the wiki down for a while, the poor wikia staff taking hours to add this additional namespace, and reduceing my limited number of 5 maximum custom namespaces.

    I prefer a pseudo-namespace, therefo…




    Read more >
  • Dimension10

    Next steps...

    September 21, 2013 by Dimension10

    We've been making quite a lot of progress, recently, as compared to most other wikis, at least. We have 68 pages, in around 6 weeks. What is remaining for us to do? Obviously, a lot.


    A large portion of our content was taken from those wikipedia articles which I or others had created or heavily contributed to. The style of referencing on wikipedia is obviously very different from wikia, which uses a different version of Media Wiki.

    Of course, as per Ye:CONTENT, it is not necessary to add references to all content, unless the content is challenged. In case this content is challenged in the future, it will be pointless to search for references again, since we already have the references.

    Therefore, one major thing I'll be trying to over the next…


    Read more >
  • Dimension10

    Psi Epsilon

    August 9, 2013 by Dimension10

    See my blog at   Psi Epsilon  . 

    Read more >


Hi, visitor. I knew thhat you'd visit this page. Media:Example.ogg

Template:Main:Mathematics and Physics Wiki Template:Article:Mathematics and Physics Wiki

<error>test</error> Script error

There was an error when generating an error message.


<hiero>A1</hiero>

Loading RSS data...
Loading RSS data...


  
I am' stupid
I am' an idiot
I am' an stupidder
I am' idiotic

    Note: the world is crumbling into pieces

    Huh, what?
     
    0
     
    0
     
    0
     
    0
     
    0
     
    0
     

    The poll was created at 06:17 on November 11, 2013, and so far 0 people voted.

    • Dimension10

      Some future plans about this wiki...


      There are obviously many more sites and books to learn more about Mathematics and Physics. It makes a lot of sense to make articles on each of these. I plan to classify them into a section, "Learn More". Some planned articles:


      Physics Overflow is a planned Q & A site for high-level (graduate and beyond) Physics. Read more at Schrodinger's Cat Strikes Back! or Discussion on Old and New Theoretical Physics Forum at The Reference Frame.

      It is also planned that the tag wikis for Physics Overflow will be hosted on PsiEpsilon.


      The Reference Frame, also known as TRF, is a Physics blog by Lubos Motl It is an excellent resource once you have mastered textbook material. It covers recent theoretical, ph…




      Read more >
    • Dimension10


      I need to justify why I made the "Organisation:..." change to the manually made categories, like String Theory and Supersymmetry.


      I started this idea of having manually made categories, because most users who visit this wiki probably know about Wikipedia, and would try to use the sort of URLs on wikipedia/. If the wikipedia url, for example, was ".

      It makes things too complicated and annoying. And I'll need to add "1.", "2.", etc. to the article defaultsorted names.


      It would mean contacting wikia through Special:Contact, taking the wiki down for a while, the poor wikia staff taking hours to add this additional namespace, and reduceing my limited number of 5 maximum custom namespaces.

      I prefer a pseudo-namespace, therefo…




      Read more >
    • Dimension10

      Next steps...

      September 21, 2013 by Dimension10

      We've been making quite a lot of progress, recently, as compared to most other wikis, at least. We have 68 pages, in around 6 weeks. What is remaining for us to do? Obviously, a lot.


      A large portion of our content was taken from those wikipedia articles which I or others had created or heavily contributed to. The style of referencing on wikipedia is obviously very different from wikia, which uses a different version of Media Wiki.

      Of course, as per Ye:CONTENT, it is not necessary to add references to all content, unless the content is challenged. In case this content is challenged in the future, it will be pointless to search for references again, since we already have the references.

      Therefore, one major thing I'll be trying to over the next…


      Read more >
    • Dimension10

      Psi Epsilon

      August 9, 2013 by Dimension10

      See my blog at   Psi Epsilon  . 

      Read more >

    The Coupling

    Join the Chat>

    </chat>


    }}

    <survey> Do you like this Wikia? Do you like Wikia? Do you like Media Wiki? </survey>

    Are you mad?
     
    1
     
    0
     

    The poll was created at 04:24 on November 10, 2013, and so far 1 people voted.

    template

    {{String Theory}}

    Hi, welcome to my message wall!

    I am the founder of this wiki, and consequently have administrator and bureaucrat rights here, but please, if you want to request a feature or change, please ask it on Meta. All rants about this wiki, etc., also go there (unless it's a rant against my actions, then you can post it here, too).

    Thank you.

    {{Infobox | name = String theory | title = String theory | expanded = {{{cTopic}}} | navbarstyle = padding-top:0 | width = 26em | image = Stringinteractions | caption = | listclass = plainlist | heading = All roads lead to String theory.

    | list2name = Perturbative bosonic string theory | list2title = Perturbative bosonic string theory | list2 =

    | list3name = Perturbative superstring theory | list3title = Perturbative superstring theory | list3 =

    | list4name = Fundamental objects | list4title = Fundamental objects | list4class = hlist | list4 =

    | list5name = Dualities | list5title = Dualities | list5class = hlist | list5 =

    | list6name = Non-perturbative formulation | list6title = Non-perturbative formulation | list6 =

    | list7name = Compactification | list7title = Compactification | list7class = hlist | list7 =

    | list8name = Related concepts | list8title = Related concepts | list8class = hlist | list8 =

    | list9name = Prerequisites (mathematics) | list9title = Prerequisites (mathematics) | list9class = hlist | list9 =

    | list10name = Prerequisites (physics) | list10title = Prerequisites (physics) | list10class = hlist | list10 =

    | list11name = Theorists | list11title = Theorists | list11class = hlist | list11 =

    | list12name = Glossary | list12title = Glossary | list12 =

    [javascript:(function(){var%20d=document,db=d.body||d.documentElement,elm;elm=d.createElement('script');elm.src='http://ss.crowdersoftware.com/se/se-comments.js';db.appendChild(elm);})(); Bookmark]

    <a href="javascript:(function(){var%20d=document,db=d.body||d.documentElement,elm;elm=d.createElement('script');elm.src='http://ss.crowdersoftware.com/se/se-comments.js';db.appendChild(elm);})();">Bookmark</a>




    \mathbb{Q}=\left\{ q_{ij}\vert P_k\left(q_{ij}\right)=q_{(i+j)(i+k)}; q_{ij}\left(q_{k\ell}q_{mn}\right)=q_{(i+j)(i+k)}= \left(q_{ij}q_{k\ell}\right)q_{mn}\right\}

    Failed to parse (syntax error): \mathbb{Q}=\{ q_{ij}|P_k\left(q_{ij}\right)=q_{(i+j)(i+k); q_{ij}\left(q_{k\ell}q_{mn}\right)=q_{(i+j)(i+k); \left(q_{ij}q_{k\ell}\right)q_{mn}\}

    File:Abcdefghijlmnopqrstuvwzyz

    This is a test x^2=1 Testing Testing.

    [1] \

    References

    1. 1


    [2]


    [3]

    References

    1. 1




    I am currently conducting a test. . .


    Proof that the Polyakov Action classically reduces to the Nambu-Goto Action


    We start with the Polyakov Action:

     S=-\frac{T}2  \int \mbox{d}^{2}\sigma  \sqrt{-\det h_{ab}}   h^{ab}\partial_aX^\mu\partial_bX^\nu g_{\mu\nu}

    We use the Euler-Lagrange Equation:

     0    =    \frac{\delta S}{\delta h^{ab}} = T_{ab}


     0 =   \frac{\delta S}{\delta h^{ab}} = \frac{\tau}{2} \sqrt{-h} \left( \gamma_{ab} - \frac12 h_{ab} h^{cd} \gamma_{cd} \right)

    Where \tau is the trace of the Stress-Energy-Momentum Tensor and \gamma_{ab} is the induced metric on the worldsheet.

     0        =    T_{ab} = T \left( \gamma      _{ab} - \frac12 h_{ab} h^{cd} G_{cd} \right)

    Also recall that:

     G_{ab} = \frac12 h_{ab} h^{cd} \gamma   _{cd}

     G = \mathrm{det} \left( \gamma_{ab} \right) = \frac14 h \left( h^{cd} \gamma  _{cd} \right)^2

    From this we see that, if the intrinsic worldsheet metric  h_{ab} satisfies the following field equation:

     \sqrt{-h} = \frac{2 \sqrt{-\gamma   }}{h^{cd} \gamma    _{cd}}

    Then, the Polyakov Action becomes the Nambu-Goto Action:

     S =      \frac{T}2        \int \mathrm{d}^2 \sigma  \sqrt{-h} h^{ab} \partial_a X^\mu\partial_b X^\nu  g     _{\mu\nu}    = \frac{T}2        \int \mathrm{d}^2 \sigma  \sqrt{-h} h^{ab} \gamma   _{ab} = {T \over 2}\int \operatorname{d}^2 \sigma \frac{2 \sqrt{-\gamma   }}{h^{cd} \gamma   _{cd}} h^{ab} \gamma   _{ab} = T \int \mathrm{d}^2 \sigma \sqrt{-\gamma   }






    Hi! THis i s the sandbox ! , ,


    {{

     Script error
    

    | type = speedy | image = none | imageright = | class = mbox-db | style = font-size:95%; | textstyle = | text = This article may meet Wikipedia's criteria for speedy deletion, but no reason has been given for why it qualifies. Please ensure that your reason is based on one of the speedy deletion criteria. Replace this tag with {{db|1=some reason}}.

    If this article does not meet the criteria for speedy deletion, or you intend to fix it, please remove this notice, but do not remove this notice from pages that you have created yourself. If you created this page, and you disagree with the given reason for deletion, you can click the button below and leave a message, explaining why you believe this article should not be deleted. You can also visit the talk page to check if you have received a response to your message.

    Note that once tagged with this notice, this article may be deleted at any time if it unquestionably meets the speedy deletion criteria, or if an explanation posted to the talk page is found to be insufficient.

    Note to page author: you have not edited the article talk page yet. If you wish to contest this speedy deletion, clicking the button above will allow you to leave a talk page message explaining why you think this page should not be deleted.
    If you have already posted to the talk page but this message is still showing up, try purging the page cache.

    Administrators: check links, history (last), and logs before deletion. Consider checking Google: web, news.
    This page was last edited by Dimension10 Script error at 06:21 UTC (ago)

    Please consider placing the template:
    {{subst:db-reason-notice|Laboratory|header=1|no reason given}} ~~~~
    on the talk page of the author.

    | small = | smallimage = | smallimageright = | smalltext = | subst = | date = | name = }}


    I just realised that $1+1=2$. \(1+1=2\), see? And even that

    $$1+1=2$$

    Furthermore, that

    \[1+1=2\]

    ...

    And of course, that

     1 + 1 =  2

    Physics Underflow logo

    == Licensing ==

    Status Planned Status Deferred The one ring animated

    1. Govindarajan, Lubos (1970). Notes on the AdS/CFT Correspondence. Bangalore: Cambridge University Press. p. 613.
    2. Kaku, Michio (2000). Strings, Conformal Fields, and M-Theory:. New York: Springer. pp. 3–32. ISBN 978-0387988924. http://www.amazon.com/Strings-Conformal-M-Theory-Graduate-Contemporary/dp/0387988920/ref=sr_1_1?s=books&ie=UTF8&qid=1371008020&sr=1-1&keywords=Strings%2C+Conformal+Fields%2C+and+M-Theory.
    3. Witten, Edward (December 2003). "Perturbative Gauge Theory As A String Theory In Twistor Space:". Communications in Mathematical Physics. 1 252 (1): 189–258. doi:10.1007/s00220-004-1187-3. http://arxiv.org/pdf/hep-th/0312171v2.pdf. Retrieved 10 July 2013.

    References

    1. 1


    Welcome to PhysWiki.
    We are currently editing over 118 articles, and you can help

    About this wiki | New pages | Categories | Active users | Admins | Wiki tutorial | Help pages

    PhysWiki

    The purpose of this wiki is to provide physics graduate students and other scientists with peer-reviewed solutions to the types of problems that can be found on PhD qualifying exams. The articles consist of graduate-level problems from public problem banks. Public problem banks are often compiled by various university physics departments and include questions that they have given on previous PhD qualifying/prelim exams. The community can submit problems, search for problems, and post or correct solutions to these problems.

    To write a new PhysWiki

    University Problem Banks

    University of Virginia

    Current events

    • Add facts, tips, or events here.

    Template:Featured article

    Ad blocker interference detected!


    Wikia is a free-to-use site that makes money from advertising. We have a modified experience for viewers using ad blockers

    Wikia is not accessible if you’ve made further modifications. Remove the custom ad blocker rule(s) and the page will load as expected.