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/*
* /MathJax/jax/output/CommonHTML/autoload/mtable.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function(){var g="2.7.5";var b=MathJax.ElementJax.mml,a=MathJax.Hub.config,e=MathJax.OutputJax.CommonHTML,d=MathJax.Hub.SplitList;var c=-1,f=1000000;b.mtable.Augment({toCommonHTML:function(l){var m={rows:[],labels:[],labeled:false};l=this.CHTMLdefaultNode(l,{noBBox:true,childOptions:m});var k=e.Element("mjx-table");while(l.firstChild){k.appendChild(l.firstChild)}l.appendChild(k);var h=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width","side","minlabelspacing","useHeight");var j=e.TEX.min_rule_thickness/e.em;m.t=e.Px(j*this.CHTML.scale,1);this.CHTMLgetBoxSizes(h,m);this.CHTMLgetAttributes(h,m);this.CHTMLadjustCells(h,m);if(h.frame){k.style.border=m.t+" "+h.frame}this.CHTMLalignV(h,m,l);this.CHTMLcolumnWidths(h,m,l);this.CHTMLstretchCells(h,m);if(m.labeled){this.CHTMLaddLabels(h,m,l,k)}var i=this.CHTML;i.w=i.r=m.R;i.h=i.t=m.T-m.B;i.d=i.b=m.B;if(!h.frame&&!i.pwidth){l.style.padding="0 "+e.Em(1/6);i.L=i.R=1/6}this.CHTMLhandleSpace(l);this.CHTMLhandleBBox(l);this.CHTMLhandleColor(l);return l},CHTMLgetBoxSizes:function(z,k){var r=e.FONTDATA.lineH*z.useHeight,t=e.FONTDATA.lineD*z.useHeight;var y=[],h=[],l=[],w=-1,q,n;for(q=0,n=this.data.length;q<n;q++){var B=this.data[q],A=(B.type==="mtr"?0:c);y[q]=r;h[q]=t;for(var p=A,v=B.data.length+A;p<v;p++){if(l[p]==null){l[p]=-f;if(p>w){w=p}}var u=B.data[p-A].CHTML;if(u.h>y[q]){y[q]=u.h}if(u.d>h[q]){h[q]=u.d}if(u.w>l[p]){l[p]=u.w}}}if(z.equalrows){k.HD=true;var x=Math.max.apply(Math,y);var o=Math.max.apply(Math,h);for(q=0,n=y.length;q<n;q++){y[q]=x;h[q]=o}}k.H=y;k.D=h;k.W=l,k.J=w},CHTMLgetAttributes:function(v,j){var l=d(v.columnspacing),x=d(v.rowspacing),t=d(v.columnalign),r=d(v.rowalign),k=d(v.columnlines),w=d(v.rowlines),o=d(v.columnwidth),n=[],q,p,u=j.J,s=j.rows.length-1;for(q=0,p=l.length;q<p;q++){l[q]=this.CHTMLlength2em(l[q])}for(q=0,p=x.length;q<p;q++){x[q]=this.CHTMLlength2em(x[q])}while(l.length<u){l.push(l[l.length-1])}while(t.length<=u){t.push(t[t.length-1])}while(k.length<u){k.push(k[k.length-1])}while(o.length<=u){o.push(o[o.length-1])}while(x.length<s){x.push(x[x.length-1])}while(r.length<=s){r.push(r[r.length-1])}while(w.length<s){w.push(w[w.length-1])}t[c]=(v.side.substr(0,1)==="l"?"left":"right");for(q=0;q<=s;q++){var y=this.data[q];n[q]=[];if(y.rowalign){r[q]=y.rowalign}if(y.columnalign){n[q]=d(y.columnalign);while(n[q].length<=u){n[q].push(n[q][n[q].length-1])}}}var h=d(v.framespacing);if(h.length!=2){h=d(this.defaults.framespacing)}h[0]=Math.max(0,this.CHTMLlength2em(h[0]));h[1]=Math.max(0,this.CHTMLlength2em(h[1]));if(v.columnlines.replace(/none/g,"").replace(/ /g,"")!==""||v.rowlines.replace(/none/g,"").replace(/ /g,"")!==""){v.fspace=true}if(v.frame===b.LINES.NONE){delete v.frame}else{v.fspace=true}if(v.frame){h[0]=Math.max(0,h[0]);h[1]=Math.max(0,h[1])}if(v.fspace){l[u]=h[0];x[s]=h[1]}else{l[u]=x[s]=0}k[u]=w[s]=b.LINES.NONE;j.CSPACE=l;j.RSPACE=x;j.CALIGN=t;j.RALIGN=r;j.CLINES=k;j.RLINES=w;j.CWIDTH=o;j.RCALIGN=n;j.FSPACE=h},CHTMLadjustCells:function(l,r){var S=r.rows,W=r.CSPACE,o=r.CLINES,x=r.RSPACE,F=r.RLINES,V=r.CALIGN,q=r.RALIGN,G=r.RCALIGN;W[r.J]*=2;x[S.length-1]*=2;var p="0",I,t,z,N,n,P,U=0;if(l.fspace){U=r.FSPACE[1];p=e.Em(r.FSPACE[1])}r.RHD=[];r.RH=[];for(var Q=0,K=S.length;Q<K;Q++){var w=S[Q],v=this.data[Q];I=x[Q]/2;N=null;z="0";if(F[Q]!==b.LINES.NONE&&F[Q]!==""){N=r.t+" "+F[Q]}if(N||(o[O]!==b.LINES.NONE&&o[O]!=="")){while(w.length<=r.J){w.push(e.addElement(w.node,"mjx-mtd",null,[["span"]]))}}r.RH[Q]=U+r.H[Q];U=Math.max(0,I);r.RHD[Q]=r.RH[Q]+U+r.D[Q];I=e.Em(U);if(l.fspace){z=e.Em(r.FSPACE[0])}for(var O=0,y=w.length;O<y;O++){var E=(v.type==="mtr"?0:c);var J=v.data[O-E]||{CHTML:e.BBOX.zero()};var k=w[O].style;n=J.CHTML;t=W[O]/2;if(o[O]!==b.LINES.NONE){k.borderRight=r.t+" "+o[O];t-=1/e.em/2}t=e.Em(Math.max(0,t));k.padding=p+" "+t+" 0px "+z;if(N){k.borderBottom=N}z=t;P=(J.rowalign||(this.data[Q]||{}).rowalign||q[Q]);var A=Math.max(1,n.h),C=Math.max(0.2,n.d),h=(r.H[Q]+r.D[Q])-(A+C),u=w[O].firstChild.style;if(P===b.ALIGN.TOP){if(h){u.marginBottom=e.Em(h)}k.verticalAlign="top"}else{if(P===b.ALIGN.BOTTOM){k.verticalAlign="bottom";if(h){u.marginTop=e.Em(h)}}else{if(P===b.ALIGN.CENTER){if(h){u.marginTop=u.marginBottom=e.Em(h/2)}k.verticalAlign="middle"}else{if(A!==r.H[Q]){u.marginTop=e.Em(r.H[Q]-A)}}}}P=(J.columnalign||G[Q][O]||V[O]);if(P!==b.ALIGN.CENTER){k.textAlign=P}}w.node.style.height=e.Em(r.RHD[Q]);p=I}W[r.J]/=2;x[S.length-1]/=2},CHTMLalignV:function(w,k,o){var m,t=k.rows.length,v=k.H,j=k.D,x=k.RSPACE;if(typeof(w.align)!=="string"){w.align=String(w.align)}if(w.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){m=parseInt(RegExp.$3||"0");w.align=RegExp.$1;if(m<0){m+=k.rows.length+1}if(m>t||m<=0){m=null}}else{w.align=this.defaults.align}var p=0,l=0,u=e.TEX.axis_height;if(w.fspace){p+=k.FSPACE[1]}if(w.frame){p+=2/e.em;l+=1/e.em}for(var q=0;q<t;q++){var r=v[q],s=Line truncated
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/*
* /MathJax/jax/output/CommonHTML/fonts/TeX/AMS-Regular.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
(function(b){var a="MathJax_AMS";b.FONTDATA.FONTS[a]={className:b.FONTDATA.familyName(a),centerline:270,ascent:1003,descent:463,32:[0,0,250,0,0],65:[701,1,722,17,703],66:[683,1,667,11,620],67:[702,19,722,39,684],68:[683,1,722,16,688],69:[683,1,667,12,640],70:[683,1,611,12,584],71:[702,19,778,39,749],72:[683,1,778,14,762],73:[683,1,389,20,369],74:[683,77,500,6,478],75:[683,1,778,22,768],76:[683,1,667,12,640],77:[683,1,944,17,926],78:[683,20,722,20,702],79:[701,19,778,34,742],80:[683,1,611,16,597],81:[701,181,778,34,742],82:[683,1,722,16,705],83:[702,12,556,28,528],84:[683,1,667,33,635],85:[683,19,722,16,709],86:[683,20,722,0,719],87:[683,19,1000,5,994],88:[683,1,722,16,705],89:[683,1,722,16,704],90:[683,1,667,29,635],107:[683,1,556,17,534],160:[0,0,250,0,0],165:[683,0,750,11,738],174:[709,175,947,32,915],240:[749,21,556,42,509],295:[695,13,540,42,562],710:[845,-561,2333,-14,2346],732:[899,-628,2333,1,2330],770:[845,-561,0,-2347,13],771:[899,-628,0,-2332,-3],989:[605,85,778,55,719],1008:[434,6,667,37,734],8245:[560,-43,275,12,244],8463:[695,13,540,42,562],8487:[684,22,722,44,675],8498:[695,1,556,55,497],8502:[763,21,667,-22,687],8503:[764,43,444,-22,421],8504:[764,43,667,54,640],8513:[705,23,639,37,577],8592:[437,-64,500,64,422],8594:[437,-64,500,58,417],8602:[437,-60,1000,56,942],8603:[437,-60,1000,54,942],8606:[417,-83,1000,56,944],8608:[417,-83,1000,55,943],8610:[417,-83,1111,56,1031],8611:[417,-83,1111,79,1054],8619:[575,41,1000,56,964],8620:[575,41,1000,35,943],8621:[417,-83,1389,57,1331],8622:[437,-60,1000,56,942],8624:[722,0,500,56,444],8625:[722,0,500,55,443],8630:[461,1,1000,17,950],8631:[460,1,1000,46,982],8634:[650,83,778,56,722],8635:[650,83,778,56,721],8638:[694,194,417,188,375],8639:[694,194,417,41,228],8642:[694,194,417,188,375],8643:[694,194,417,41,228],8644:[667,0,1000,55,944],8646:[667,0,1000,55,944],8647:[583,83,1000,55,944],8648:[694,193,833,83,749],8649:[583,83,1000,55,944],8650:[694,194,833,83,749],8651:[514,14,1000,55,944],8652:[514,14,1000,55,944],8653:[534,35,1000,54,942],8654:[534,37,1000,32,965],8655:[534,35,1000,55,943],8666:[611,111,1000,76,944],8667:[611,111,1000,55,923],8669:[417,-83,1000,56,943],8672:[437,-64,1334,64,1251],8674:[437,-64,1334,84,1251],8705:[846,21,500,56,444],8708:[860,166,556,55,497],8709:[587,3,778,54,720],8717:[440,1,429,102,456],8722:[270,-230,500,84,417],8724:[766,93,778,57,722],8726:[430,23,778,91,685],8733:[472,-28,778,56,722],8736:[694,0,722,55,666],8737:[714,20,722,55,666],8738:[551,51,722,55,666],8739:[430,23,222,91,131],8740:[750,252,278,-21,297],8741:[431,23,389,55,331],8742:[750,250,500,-20,518],8756:[471,82,667,24,643],8757:[471,82,667,23,643],8764:[365,-132,778,55,719],8765:[367,-133,778,56,722],8769:[467,-32,778,55,719],8770:[463,-34,778,55,720],8774:[652,155,778,54,720],8776:[481,-50,778,55,719],8778:[579,39,778,51,725],8782:[492,-8,778,56,722],8783:[492,-133,778,56,722],8785:[609,108,778,56,722],8786:[601,101,778,15,762],8787:[601,102,778,14,762],8790:[367,-133,778,56,722],8791:[721,-133,778,56,722],8796:[859,-133,778,56,723],8806:[753,175,778,83,694],8807:[753,175,778,83,694],8808:[752,286,778,82,693],8809:[752,286,778,82,693],8812:[750,250,500,74,425],8814:[708,209,778,82,693],8815:[708,209,778,82,693],8816:[801,303,778,82,694],8817:[801,303,778,82,694],8818:[732,228,778,56,722],8819:[732,228,778,56,722],8822:[681,253,778,44,734],8823:[681,253,778,83,694],8828:[580,153,778,83,694],8829:[580,154,778,82,694],8830:[732,228,778,56,722],8831:[732,228,778,56,722],8832:[705,208,778,82,693],8833:[705,208,778,82,693],8840:[801,303,778,83,693],8841:[801,303,778,82,691],8842:[635,241,778,84,693],8843:[635,241,778,82,691],8847:[539,41,778,83,694],8848:[539,41,778,64,714],8858:[582,82,778,57,721],8859:[582,82,778,57,721],8861:[582,82,778,57,721],8862:[689,0,778,55,722],8863:[689,0,778,55,722],8864:[689,0,778,55,722],8865:[689,0,778,55,722],8872:[694,0,611,55,555],8873:[694,0,722,55,666],8874:[694,0,889,55,833],8876:[695,1,611,-55,554],8877:[695,1,611,-55,554],8878:[695,1,722,-55,665],8879:[695,1,722,-55,665],8882:[539,41,778,83,694],8883:[539,41,778,83,694],8884:[636,138,778,83,694],8885:[636,138,778,83,694],8888:[408,-92,1111,55,1055],8890:[431,212,556,57,500],8891:[716,0,611,55,555],8892:[716,0,611,55,555],8901:[189,0,278,55,222],8903:[545,44,778,55,720],8905:[492,-8,778,146,628],8906:[492,-8,778,146,628],8907:[694,22,778,55,722],8908:[694,22,778,55,722],8909:[464,-36,778,56,722],8910:[578,21,760,83,676],8911:[578,22,760,83,676],8912:[540,40,778,84,694],8913:[540,40,778,83,693],8914:[598,22,667,55,611],8915:[598,22,667,55,611],8916:[736,22,667,56,611],8918:[541,41,778,82,693],8919:[541,41,778,82,693],8920:[568,67,1333,56,1277],8921:[568,67,1333,55,1277],8922:[886,386,778,83,674],8923:[886,386,778,83,674],8926:[734,0,778,83,694],8927:[734,0,778,82,694],8928:[801,303,778,82,693],8929:[801,303,778,82,694],8934:[730,359,778,55,719],8935:[730,359,778,55,719],8936:[730,359,778,55,719],8937:[730,359,778,55,719],8938:[706,208,778,82,693],8939:[706,208,778,82,6Line 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/*
* /MathJax/jax/output/CommonHTML/fonts/TeX/fontdata.js
*
* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
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/*
* /MathJax/jax/output/CommonHTML/jax.js
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* Copyright (c) 2009-2018 The MathJax Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
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