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/*
* /MathJax-v2/jax/element/mml/optable/LetterlikeSymbols.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-v2/jax/element/mml/optable/MathOperators.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-v2/jax/element/mml/optable/MiscMathSymbolsA.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-v2/jax/element/mml/optable/MiscMathSymbolsB.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-v2/jax/element/mml/optable/MiscSymbolsAndArrows.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(a){var c=a.mo.OPTYPES;var b=a.TEXCLASS;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2B45":c.RELSTRETCH,"\u2B46":c.RELSTRETCH}}});MathJax.Ajax.loadComplete(a.optableDir+"/MiscSymbolsAndArrows.js")})(MathJax.ElementJax.mml);
/*
* /MathJax-v2/jax/element/mml/optable/MiscTechnical.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(a){var c=a.mo.OPTYPES;var b=a.TEXCLASS;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{postfix:{"\u23B4":c.WIDEACCENT,"\u23B5":c.WIDEACCENT,"\u23DC":c.WIDEACCENT,"\u23DD":c.WIDEACCENT,"\u23E0":c.WIDEACCENT,"\u23E1":c.WIDEACCENT}}});MathJax.Ajax.loadComplete(a.optableDir+"/MiscTechnical.js")})(MathJax.ElementJax.mml);
/*
* /MathJax-v2/jax/element/mml/optable/SpacingModLetters.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(a){var c=a.mo.OPTYPES;var b=a.TEXCLASS;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{postfix:{"\u02CD":c.WIDEACCENT,"\u02DA":c.ACCENT,"\u02DD":c.ACCENT,"\u02F7":c.WIDEACCENT}}});MathJax.Ajax.loadComplete(a.optableDir+"/SpacingModLetters.js")})(MathJax.ElementJax.mml);
/*
* /MathJax-v2/jax/element/mml/optable/SuppMathOperators.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-v2/jax/element/mml/optable/SupplementalArrowsA.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-v2/jax/element/mml/optable/SupplementalArrowsB.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-v2/jax/input/TeX/config.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.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.7",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
This diff is collapsed.
/*
* /MathJax-v2/jax/output/HTML-CSS/autoload/annotation-xml.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("HTML-CSS Jax Ready",function(){var c="2.7.7";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a["annotation-xml"].Augment({toHTML:function(f){f=this.HTMLhandleSize(this.HTMLcreateSpan(f));var g=this.Get("encoding");for(var e=0,d=this.data.length;e<d;e++){this.data[e].toHTML(f,g)}this.HTMLhandleSpace(f);this.HTMLhandleColor(f);return f},HTMLgetScale:function(){return this.SUPER(arguments).HTMLgetScale.call(this)/b.scale}});a.xml.Augment({toHTML:function(f,g){for(var e=0,d=this.data.length;e<d;e++){f.appendChild(this.data[e].cloneNode(true))}var j=f.bbox;f.bbox=null;j.rw=j.w=b.getW(f);var h=b.getHD(f);j.h=h.h;j.d=h.d;f.bbox=j}});MathJax.Hub.Startup.signal.Post("HTML-CSS annotation-xml Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/annotation-xml.js")});
/*
* /MathJax-v2/jax/output/HTML-CSS/autoload/maction.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("HTML-CSS Jax Ready",function(){var g="2.7.7";var c=MathJax.ElementJax.mml,e=MathJax.OutputJax["HTML-CSS"];var d,f,b;var a=e.config.tooltip=MathJax.Hub.Insert({delayPost:600,delayClear:600,offsetX:10,offsetY:5},e.config.tooltip||{});c.maction.Augment({HTMLtooltip:e.addElement(document.body,"div",{id:"MathJax_Tooltip"}),toHTML:function(j,h,l){var i=this.selected();if(i.type=="null"){j=this.HTMLcreateSpan(j);j.bbox=this.HTMLzeroBBox();return j}j=this.HTMLcreateSpan(j);j.bbox=null;j.scale=this.HTMLgetScale();var k=i.toHTML(j);if(l!=null){e.Remeasured(i.HTMLstretchV(j,h,l),j)}else{if(h!=null){e.Remeasured(i.HTMLstretchH(j,h),j)}else{e.Measured(k,j)}}this.HTMLhandleHitBox(j);this.HTMLhandleSpace(j);this.HTMLhandleColor(j);return j},HTMLhandleHitBox:function(i,l){var k;if(e.msieHitBoxBug){var j=e.addElement(i,"span",{isMathJax:true});k=e.createFrame(j,i.bbox.h,i.bbox.d,i.bbox.w,0,"none");i.insertBefore(j,i.firstChild);j.style.marginRight=e.Em(-i.bbox.w);if(e.msieInlineBlockAlignBug){k.style.verticalAlign=e.Em(e.getHD(i).d-i.bbox.d)}}else{k=e.createFrame(i,i.bbox.h,i.bbox.d,i.bbox.w,0,"none");i.insertBefore(k,i.firstChild);k.style.marginRight=e.Em(-i.bbox.w)}k.className="MathJax_HitBox";k.id="MathJax-HitBox-"+this.spanID+(l||"")+e.idPostfix;var h=this.Get("actiontype");if(this.HTMLaction[h]){this.HTMLaction[h].call(this,i,k,this.Get("selection"))}},HTMLstretchH:c.mbase.HTMLstretchH,HTMLstretchV:c.mbase.HTMLstretchV,HTMLaction:{toggle:function(i,j,h){this.selection=h;i.onclick=MathJax.Callback(["HTMLclick",this]);j.style.cursor=i.childNodes[1].style.cursor="pointer"},statusline:function(i,j,h){i.onmouseover=MathJax.Callback(["HTMLsetStatus",this]);i.onmouseout=MathJax.Callback(["HTMLclearStatus",this]);i.onmouseover.autoReset=i.onmouseout.autoReset=true;j.style.cursor=i.childNodes[1].style.cursor="default"},tooltip:function(i,j,h){if(this.data[1]&&this.data[1].isToken){i.title=i.alt=this.data[1].data.join("")}else{i.onmouseover=MathJax.Callback(["HTMLtooltipOver",this]);i.onmouseout=MathJax.Callback(["HTMLtooltipOut",this]);i.onmouseover.autoReset=i.onmouseout.autoReset=true}j.style.cursor=i.childNodes[1].style.cursor="default"}},HTMLclick:function(l){this.selection++;if(this.selection>this.data.length){this.selection=1}var k=this;while(k.type!=="math"){k=k.inherit}var h=MathJax.Hub.getJaxFor(k.inputID),j=!!h.hover;h.Update();if(j){var i=document.getElementById(h.inputID+"-Span");MathJax.Extension.MathEvents.Hover.Hover(h,i)}return MathJax.Extension.MathEvents.Event.False(l)},HTMLsetStatus:function(h){this.messageID=MathJax.Message.Set((this.data[1]&&this.data[1].isToken)?this.data[1].data.join(""):this.data[1].toString())},HTMLclearStatus:function(h){if(this.messageID){MathJax.Message.Clear(this.messageID,0)}delete this.messageID},HTMLtooltipOver:function(i){if(!i){i=window.event}if(b){clearTimeout(b);b=null}if(f){clearTimeout(f)}var h=i.pageX;var k=i.pageY;if(h==null){h=i.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;k=i.clientY+document.body.scrollTop+document.documentElement.scrollTop}var j=MathJax.Callback(["HTMLtooltipPost",this,h+a.offsetX,k+a.offsetY]);f=setTimeout(j,a.delayPost)},HTMLtooltipOut:function(h){if(f){clearTimeout(f);f=null}if(b){clearTimeout(b)}var i=MathJax.Callback(["HTMLtooltipClear",this,80]);b=setTimeout(i,a.delayClear)},HTMLtooltipPost:function(o,m){f=null;if(b){clearTimeout(b);b=null}var p=this.HTMLtooltip;p.style.display="block";p.style.opacity="";p.style.filter=e.config.styles["#MathJax_Tooltip"].filter;if(this===d){return}p.style.left=o+"px";p.style.top=m+"px";p.innerHTML='<span class="MathJax"><nobr></nobr></span>';var q=p.insertBefore(e.TestSpan.cloneNode(true),p.firstChild);var l=q.childNodes[1].offsetHeight/60,h=q.childNodes[2].offsetHeight/60;q.parentNode.removeChild(q);e.em=e.outerEm=c.mbase.prototype.em=h;var i=Math.floor(Math.max(e.config.minScaleAdjust/100,(l/e.TeX.x_height)/h)*e.config.scale);p.firstChild.style.fontSize=i+"%";var n=e.createStack(p.firstChild.firstChild);var k=e.createBox(n);try{e.Measured(this.data[1].toHTML(k),k)}catch(j){if(!j.restart){throw j}p.style.display="none";MathJax.Callback.After(["HTMLtooltipPost",this,o,m],j.restart);return}e.placeBox(k,0,0);e.createRule(p.firstChild.firstChild,k.bbox.h,k.bbox.d,0);d=this},HTMLtooltipClear:function(i){var h=this.HTMLtooltip;if(i<=0){h.style.display="none";h.style.opacity=h.style.filter="";b=null}else{h.style.opacity=i/100;h.style.filter="alpha(opacity="+i+")";b=setTimeout(MathJax.Callback(["HTMLtooltipClear",this,i-20]),50)}}});MathJax.Hub.Browser.Select({MSIE:function(h){e.msieHitBoxBug=true}});MathJax.Hub.Startup.signal.Post("HTML-CSS maction Ready");MathJax.Ajax.loadComplete(e.autoloadDir+"/maction.js")});
/*
* /MathJax-v2/jax/output/HTML-CSS/autoload/menclose.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("HTML-CSS Jax Ready",function(){var d="2.7.7";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];var c="http://www.w3.org/2000/svg";var f="urn:schemas-microsoft-com:vml";var e="mjxvml";a.menclose.Augment({toHTML:function(ac){var j=this.getValues("notation","thickness","padding","mathcolor","color");if(j.color&&!this.mathcolor){j.mathcolor=j.color}if(j.thickness==null){j.thickness=".075em"}if(j.padding==null){j.padding=".2em"}ac=this.HTMLcreateSpan(ac);var V=this.HTMLgetMu(ac),af=this.HTMLgetScale();var X=b.length2em(j.padding,V,1/b.em)*af;var N=b.length2em(j.thickness,V,1/b.em)*af;N=Math.max(1/b.em,N);var E=b.Em(N)+" solid";var z=b.createStack(ac);var v=b.createBox(z);this.HTMLmeasureChild(0,v);var K=v.bbox.h+X+N,P=v.bbox.d+X+N,o=v.bbox.w+2*(X+N);var O=b.createFrame(z,K+P,0,o,N,"none");O.id="MathJax-frame-"+this.spanID;b.addBox(z,O);z.insertBefore(O,v);var s=0,U=0,u=0,A=0,M=0,J=0;var S,g;var I,ad,Q;if(!j.mathcolor){j.mathcolor="currentColor"}else{ac.style.color=j.mathcolor}var k=MathJax.Hub.SplitList(j.notation),q={};for(var ab=0,Z=k.length;ab<Z;ab++){q[k[ab]]=true}if(q[a.NOTATION.UPDIAGONALARROW]){q[a.NOTATION.UPDIAGONALSTRIKE]=false}var G;for(var Y in q){if(!q.hasOwnProperty(Y)||!q[Y]){continue}switch(Y){case a.NOTATION.BOX:O.style.border=E;if(!b.msieBorderWidthBug){s=U=A=u=N}break;case a.NOTATION.ROUNDEDBOX:if(b.useVML){if(!g){g=this.HTMLvml(z,K,P,o,N,j.mathcolor)}Q=Math.floor(1000*Math.min(o,K+P)-2*N);I=Math.floor(4000*(o-2*N)),ad=Math.floor(4000*(K+P-2*N));this.HTMLvmlElement(g,"shape",{style:{width:this.HTMLpx(o-2*N),height:this.HTMLpx(K+P-2*N),left:this.HTMLpx(N,0.5),top:this.HTMLpx(N,0.5)},path:"m "+Q+",0 qx 0,"+Q+" l 0,"+(ad-Q)+" qy "+Q+","+ad+" l "+(I-Q)+","+ad+" qx "+I+","+(ad-Q)+" l "+I+","+Q+" qy "+(I-Q)+",0 x e",coordsize:I+","+ad})}else{if(!S){S=this.HTMLsvg(z,K,P,o,N,j.mathcolor)}this.HTMLsvgElement(S.firstChild,"rect",{x:1,y:1,width:this.HTMLpx(o-N)-1,height:this.HTMLpx(K+P-N)-1,rx:this.HTMLpx(Math.min(K+P,o)/4)})}break;case a.NOTATION.CIRCLE:if(b.useVML){if(!g){g=this.HTMLvml(z,K,P,o,N,j.mathcolor)}this.HTMLvmlElement(g,"oval",{style:{width:this.HTMLpx(o-2*N),height:this.HTMLpx(K+P-2*N),left:this.HTMLpx(N,0.5),top:this.HTMLpx(N,0.5)}})}else{if(!S){S=this.HTMLsvg(z,K,P,o,N,j.mathcolor)}this.HTMLsvgElement(S.firstChild,"ellipse",{rx:this.HTMLpx(o/2-N),ry:this.HTMLpx((K+P)/2-N),cx:this.HTMLpx(o/2),cy:this.HTMLpx((K+P)/2)})}break;case a.NOTATION.LEFT:O.style.borderLeft=E;if(!b.msieBorderWidthBug){A=N}break;case a.NOTATION.ACTUARIAL:O.style.borderTop=E;if(!b.msieBorderWidthBug){s=N;O.bbox.w+=X-N}case a.NOTATION.RIGHT:O.style.borderRight=E;if(!b.msieBorderWidthBug){u=N}break;case a.NOTATION.VERTICALSTRIKE:G=b.createRule(z,K+P-N/2,0,N);b.addBox(z,G);b.placeBox(G,X+N+v.bbox.w/2,-P,true);break;case a.NOTATION.TOP:O.style.borderTop=E;if(!b.msieBorderWidthBug){s=N}break;case a.NOTATION.BOTTOM:O.style.borderBottom=E;if(!b.msieBorderWidthBug){U=N}break;case a.NOTATION.HORIZONTALSTRIKE:G=b.createRule(z,N,0,o-N/2);b.addBox(z,G);b.placeBox(G,0,(K+P)/2-P,true);break;case a.NOTATION.UPDIAGONALSTRIKE:if(b.useVML){if(!g){g=this.HTMLvml(z,K,P,o,N,j.mathcolor)}G=this.HTMLvmlElement(g,"line",{from:"0,"+this.HTMLpx(K+P-N),to:this.HTMLpx(o)+",0"})}else{if(!S){S=this.HTMLsvg(z,K,P,o,N,j.mathcolor)}this.HTMLsvgElement(S.firstChild,"line",{x1:1,y1:this.HTMLpx(K+P-N),x2:this.HTMLpx(o-N),y2:this.HTMLpx(N)})}break;case a.NOTATION.UPDIAGONALARROW:if(b.useVML){if(!g){g=this.HTMLvml(z,K,P,o,N,j.mathcolor)}G=this.HTMLvmlElement(g,"line",{from:"0,"+this.HTMLpx(K+P-N),to:this.HTMLpx(o)+","+this.HTMLpx(N)});this.HTMLvmlElement(G,"stroke",{endarrow:"classic"})}else{if(!S){S=this.HTMLsvg(z,K,P,o,N,j.mathcolor)}var aa=Math.sqrt(o*o+(K+P)*(K+P)),ae=1/aa*10*this.scale/b.em*N/0.075;I=o*ae;ad=(K+P)*ae;var F=o-N/2,C=N/2;if(C+ad-0.4*I<0){C=0.4*I-ad}this.HTMLsvgElement(S.firstChild,"line",{x1:1,y1:this.HTMLpx(K+P-N),x2:this.HTMLpx(F-0.7*I),y2:this.HTMLpx(C+0.7*ad)});this.HTMLsvgElement(S.firstChild,"polygon",{points:this.HTMLpx(F)+","+this.HTMLpx(C)+" "+this.HTMLpx(F-I-0.4*ad)+","+this.HTMLpx(C+ad-0.4*I)+" "+this.HTMLpx(F-0.7*I)+","+this.HTMLpx(C+0.7*ad)+" "+this.HTMLpx(F-I+0.4*ad)+","+this.HTMLpx(C+ad+0.4*I)+" "+this.HTMLpx(F)+","+this.HTMLpx(C),fill:j.mathcolor,stroke:"none"})}break;case a.NOTATION.DOWNDIAGONALSTRIKE:if(b.useVML){if(!g){g=this.HTMLvml(z,K,P,o,N,j.mathcolor)}this.HTMLvmlElement(g,"line",{from:"0,0",to:this.HTMLpx(o)+","+this.HTMLpx(K+P-N)})}else{if(!S){S=this.HTMLsvg(z,K,P,o,N,j.mathcolor)}this.HTMLsvgElement(S.firstChild,"line",{x1:1,y1:this.HTMLpx(N),x2:this.HTMLpx(o-N),y2:this.HTMLpx(K+P-N)})}break;case a.NOTATION.PHASORANGLE:o-=2*X;X=(K+P)/2;o+=X;if(b.useVML){if(!g){g=this.HTMLvml(z,K,P,o,N,j.mathcolor)}this.HTMLvmlElement(g,"shape",{style:{width:this.HTMLpx(o),height:this.HTMLpx(K+P)},path:"m "+this.HTMLpt(X+N/2,N/2)+" l "+this.HTMLpt(N/2,K+P-N)+" "+this.HTMLpt(o-N/2,K+P-N)+" e",coordsize:this.HTMLpt(o,K+P)})}else{if(!S){S=this.HTMLsvg(z,K,P,o,N,j.mathcolor)}this.HTMLsvgElement(S.firstChild,"path",{d:"M "+this.HTMLpx(X)+",1L 1,"+this.HTMLpx(K+P-N)+" L "+this.HTMLpx(o)+","+this.HTMLpx(K+P-N)});b.placeBox(S.parentNode,0,-P,true)}break;case a.NOTATION.MADRUWB:O.style.borderBottom=E;O.style.borderRight=E;if(!b.msieBorderWidthBug){U=u=N}break;case a.NOTATION.RADICAL:if(b.useVML){if(!g){g=this.HTMLvml(z,K,P,o,N,j.mathcolor)}this.HTMLvmlElement(g,"shape",{style:{width:this.HTMLpx(o),height:this.HTMLpx(K+P)},path:"m "+this.HTMLpt(N/2,0.6*(K+P))+" l "+this.HTMLpt(X,K+P-N)+" "+this.HTMLpt(2*X,N/2)+" "+this.HTMLpt(o,N/2)+" e",coordsize:this.HTMLpt(o,K+P)});M=X}else{if(!S){S=this.HTMLsvg(z,K,P,o,N,j.mathcolor)}this.HTMLsvgElement(S.firstChild,"path",{d:"M 1,"+this.HTMLpx(0.6*(K+P))+" L "+this.HTMLpx(X)+","+this.HTMLpx(K+P)+" L "+this.HTMLpx(2*X)+",1 L "+this.HTMLpx(o)+",1"});b.placeBox(S.parentNode,0,X/2-P,true);M=X;J=N}break;case a.NOTATION.LONGDIV:if(b.useVML){if(!g){g=this.HTMLvml(z,K,P,o,N,j.mathcolor)}this.HTMLvmlElement(g,"line",{from:"0,"+this.HTMLpx(N/2),to:this.HTMLpx(o-N)+","+this.HTMLpx(N/2)});this.HTMLvmlElement(g,"arc",{style:{width:this.HTMLpx(2*X),height:this.HTMLpx(K+P-2*N),left:this.HTMLpx(-X),top:this.HTMLpx(N)},startangle:"10",endangle:"170"});M=X}else{if(!S){S=this.HTMLsvg(z,K,P,o,N,j.mathcolor)}this.HTMLsvgElement(S.firstChild,"path",{d:"M "+this.HTMLpx(o)+",1 L 1,1 a"+this.HTMLpx(X)+","+this.HTMLpx((K+P)/2-N)+" 0 0,1 1,"+this.HTMLpx(K+P-2*N)});b.placeBox(S.parentNode,0,N-P,true);M=X;J=N}break}}O.style.width=b.Em(o-A-u);O.style.height=b.Em(K+P-s-U);b.placeBox(O,0,J-P,true);b.placeBox(v,M+X+N,0);this.HTMLhandleSpace(ac);this.HTMLhandleColor(ac);return ac},HTMLpx:function(g){return(g*b.em)},HTMLpt:function(g,h){return Math.floor(1000*g)+","+Math.floor(1000*h)},HTMLhandleColor:function(h){var i=document.getElementById("MathJax-frame-"+this.spanID);if(i){var g=this.getValues("mathbackground","background");if(this.style&&h.style.backgroundColor){g.mathbackground=h.style.backgroundColor;h.style.backgroundColor=""}if(g.background&&!this.mathbackground){g.mathbackground=g.background}if(g.mathbackground&&g.mathbackground!==a.COLOR.TRANSPARENT){i.style.backgroundColor=g.mathbackground}}else{this.SUPER(arguments).HTMLhandleColor.call(this,h)}},HTMLsvg:function(h,l,m,g,k,j){var i=document.createElementNS(c,"svg");if(i.style){i.style.width=b.Em(g);i.style.height=b.Em(l+m)}var n=b.createBox(h);n.appendChild(i);b.placeBox(n,0,-m,true);this.HTMLsvgElement(i,"g",{fill:"none",stroke:j,"stroke-width":k*b.em});return i},HTMLsvgElement:function(g,h,i){var j=document.createElementNS(c,h);j.isMathJax=true;if(i){for(var k in i){if(i.hasOwnProperty(k)){j.setAttributeNS(null,k,i[k].toString())}}}g.appendChild(j);return j},HTMLvml:function(i,l,m,h,k,j){var g=b.createFrame(i,l+m,0,h,0,"none");b.addBox(i,g);b.placeBox(g,0,-m,true);this.constructor.VMLcolor=j;this.constructor.VMLthickness=this.HTMLpx(k);return g},HTMLvmlElement:function(g,h,i){var j=b.addElement(g,e+":"+h,{isMathJax:true});j.style.position="absolute";j.style.left=j.style.top=0;MathJax.Hub.Insert(j,i);if(!i.fillcolor){j.fillcolor="none"}if(!i.strokecolor){j.strokecolor=this.constructor.VMLcolor}if(!i.strokeweight){j.strokeweight=this.constructor.VMLthickness}return j}});MathJax.Hub.Browser.Select({MSIE:function(g){if((document.documentMode||0)<9){a.menclose.Augment({HTMLpx:function(i,h){return(i*b.em+(h||0))+"px"}});b.useVML=true;if(!document.namespaces[e]){if(document.documentMode&&document.documentMode===8){document.namespaces.add(e,f,"#default#VML")}else{document.namespaces.add(e,f);document.createStyleSheet().addRule(e+"\\: *","{behavior: url(#default#VML)}")}}}}});MathJax.Hub.Startup.signal.Post("HTML-CSS menclose Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/menclose.js")});
/*
* /MathJax-v2/jax/output/HTML-CSS/autoload/mglyph.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("HTML-CSS Jax Ready",function(){var c="2.7.7";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"],d=MathJax.Localization;a.mglyph.Augment({toHTML:function(k,g){var j=k,l=this.getValues("src","width","height","valign","alt"),f;k=this.HTMLcreateSpan(k);if(l.src===""){var i=this.Get("index");if(i){g=this.HTMLgetVariant();var e=g.defaultFont;if(e){e.noStyleChar=true;e.testString=String.fromCharCode(i)+"ABCabc";if(b.Font.testFont(e)){this.HTMLhandleVariant(k,g,String.fromCharCode(i))}else{if(l.alt===""){l.alt=d._(["MathML","BadMglyphFont"],"Bad font: %1",e.family)}f=a.Error(l.alt,{mathsize:"75%"});this.Append(f);f.toHTML(k);this.data.pop();k.bbox=f.HTMLspanElement().bbox}}}}else{if(!this.img){this.img=a.mglyph.GLYPH[l.src]}if(!this.img){this.img=a.mglyph.GLYPH[l.src]={img:new Image(),status:"pending"};var h=this.img.img;h.onload=MathJax.Callback(["HTMLimgLoaded",this]);h.onerror=MathJax.Callback(["HTMLimgError",this]);h.src=l.src;MathJax.Hub.RestartAfter(h.onload)}if(this.img.status!=="OK"){f=a.Error(d._(["MathML","BadMglyph"],"Bad mglyph: %1",l.src),{mathsize:"75%"});this.Append(f);f.toHTML(k);this.data.pop();k.bbox=f.HTMLspanElement().bbox}else{var m=this.HTMLgetMu(k);h=b.addElement(k,"img",{isMathJax:true,src:l.src,alt:l.alt,title:l.alt});if(l.width){h.style.width=b.Em(b.length2em(l.width,m,this.img.img.width/b.em))}if(l.height){h.style.height=b.Em(b.length2em(l.height,m,this.img.img.height/b.em))}k.bbox.w=k.bbox.rw=h.offsetWidth/b.em;k.bbox.h=h.offsetHeight/b.em;if(l.valign){k.bbox.d=-b.length2em(l.valign,m,this.img.img.height/b.em);h.style.verticalAlign=b.Em(-k.bbox.d);k.bbox.h-=k.bbox.d}}}if(!j.bbox){j.bbox={w:k.bbox.w,h:k.bbox.h,d:k.bbox.d,rw:k.bbox.rw,lw:k.bbox.lw}}else{if(k.bbox){j.bbox.w+=k.bbox.w;if(j.bbox.w>j.bbox.rw){j.bbox.rw=j.bbox.w}if(k.bbox.h>j.bbox.h){j.bbox.h=k.bbox.h}if(k.bbox.d>j.bbox.d){j.bbox.d=k.bbox.d}}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k},HTMLimgLoaded:function(f,e){if(typeof(f)==="string"){e=f}this.img.status=(e||"OK")},HTMLimgError:function(){this.img.img.onload("error")}},{GLYPH:{}});MathJax.Hub.Startup.signal.Post("HTML-CSS mglyph Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mglyph.js")});
/*
* /MathJax-v2/jax/output/HTML-CSS/autoload/mmultiscripts.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("HTML-CSS Jax Ready",function(){var c="2.7.7";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mmultiscripts.Augment({toHTML:function(L,J,E){L=this.HTMLcreateSpan(L);var R=this.HTMLgetScale();var n=b.createStack(L),g;var l=b.createBox(n);if(this.data[this.base]){var m=this.data[this.base].toHTML(l);if(E!=null){this.data[this.base].HTMLstretchV(l,J,E)}else{if(J!=null){this.data[this.base].HTMLstretchH(l,J)}}b.Measured(m,l)}else{l.bbox=this.HTMLzeroBBox()}var P=b.TeX.x_height*R,C=b.TeX.scriptspace*R*0.75;var B=this.HTMLgetScripts(n,C);var o=B[0],f=B[1],y=B[2],k=B[3];var j=R;for(var M=1;M<this.data.length;M++){if(this.data[M]&&this.data[M].spanID){j=this.data[M].HTMLgetScale();break}}var G=b.TeX.sup_drop*j,F=b.TeX.sub_drop*j;var z=l.bbox.h-G,x=l.bbox.d+F,Q=0,I;if(l.bbox.ic){Q=l.bbox.ic}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(b.isChar(this.data[this.base].data.join(""))&&l.bbox.scale===1&&!this.data[this.base].Get("largeop")){z=x=0}}var K=this.getValues("subscriptshift","superscriptshift"),H=this.HTMLgetMu(L);K.subscriptshift=(K.subscriptshift===""?0:b.length2em(K.subscriptshift,H));K.superscriptshift=(K.superscriptshift===""?0:b.length2em(K.superscriptshift,H));var w=0;if(y){w=y.bbox.w+Q}else{if(k){w=k.bbox.w-Q}}if(w<0){w=0}b.placeBox(l,w,0);if(!f&&!k){x=Math.max(x,b.TeX.sub1*R,K.subscriptshift);if(o){x=Math.max(x,o.bbox.h-(4/5)*P)}if(y){x=Math.max(x,y.bbox.h-(4/5)*P)}if(o){b.placeBox(o,w+l.bbox.w+C-Q,-x)}if(y){b.placeBox(y,0,-x)}}else{if(!o&&!y){g=this.getValues("displaystyle","texprimestyle");I=b.TeX[(g.displaystyle?"sup1":(g.texprimestyle?"sup3":"sup2"))];z=Math.max(z,I*R,K.superscriptshift);if(f){z=Math.max(z,f.bbox.d+(1/4)*P)}if(k){z=Math.max(z,k.bbox.d+(1/4)*P)}if(f){b.placeBox(f,w+l.bbox.w+C,z)}if(k){b.placeBox(k,0,z)}}else{x=Math.max(x,b.TeX.sub2*R);var A=b.TeX.rule_thickness*R;var N=(o||y).bbox.h,O=(f||k).bbox.d;if(y){N=Math.max(N,y.bbox.h)}if(k){O=Math.max(O,k.bbox.d)}if((z-O)-(N-x)<3*A){x=3*A-z+O+N;G=(4/5)*P-(z-O);if(G>0){z+=G;x-=G}}z=Math.max(z,K.superscriptshift);x=Math.max(x,K.subscriptshift);if(f){b.placeBox(f,w+l.bbox.w+C,z)}if(k){b.placeBox(k,w+Q-k.bbox.w,z)}if(o){b.placeBox(o,w+l.bbox.w+C-Q,-x)}if(y){b.placeBox(y,w-y.bbox.w,-x)}}}this.HTMLhandleSpace(L);this.HTMLhandleColor(L);var e=L.bbox;e.dx=w;e.s=C;e.u=z;e.v=x;e.delta=Q;e.px=w+l.bbox.w;return L},HTMLgetScripts:function(r,u){var p,d,e=[];var o=1,h=this.data.length,g=0;for(var l=0;l<4;l+=2){while(o<h&&(this.data[o]||{}).type!=="mprescripts"){var q=[null,null,null,null];for(var n=l;n<l+2;n++){if(this.data[o]&&this.data[o].type!=="none"&&this.data[o].type!=="mprescripts"){if(!e[n]){e[n]=b.createBox(r);e[n].bbox=this.HTMLemptyBBox({});if(g){b.createBlank(e[n],g);e[n].bbox.w=e[n].bbox.rw=g}}q[n]=this.data[o].toHTML(e[n])}else{q[n]=MathJax.HTML.Element("span",{bbox:this.HTMLemptyBBox({})})}if((this.data[o]||{}).type!=="mprescripts"){o++}}var f=(l===2);d=e[l];p=e[l+1];if(d&&p){var t=q[l+1].bbox.w-q[l].bbox.w;if(t>0){if(f){this.HTMLmoveColor(q[l],t,1);e[l].w+=t}else{b.createBlank(d,t)}}else{if(t<0){if(f){this.HTMLmoveColor(q[l+1],-t,-1);e[l+1].w+=-t}else{b.createBlank(p,-t)}}}this.HTMLcombineBBoxes(q[l],d.bbox);this.HTMLcombineBBoxes(q[l+1],p.bbox);if(t>0){d.bbox.w=p.bbox.w;d.bbox.rw=Math.max(d.bbox.w,d.bbox.rw)}else{if(t<0){p.bbox.w=d.bbox.w;p.bbox.rw=Math.max(p.bbox.w,p.bbox.rw)}}}else{if(d){this.HTMLcombineBBoxes(q[l],d.bbox)}if(p){this.HTMLcombineBBoxes(q[l+1],p.bbox)}}if(d){g=d.bbox.w}else{if(p){g=p.bbox.w}}}o++;g=0}for(n=0;n<4;n++){if(e[n]){e[n].bbox.w+=u;e[n].bbox.rw=Math.max(e[n].bbox.w,e[n].bbox.rw);e[n].bbox.name=(["sub","sup","presub","presup"])[n];this.HTMLcleanBBox(e[n].bbox)}}return e},HTMLmoveColor:function(h,f,e){var d=f/(h.scale||1);h.style.paddingLeft=b.Em(d);var g=h.previousSibling;if(g&&(g.id||"").match(/^MathJax-Color-/)){g.style.marginLeft=b.Em(d+parseFloat(g.style.marginLeft));g.style.marginRight=b.Em(e*(d-parseFloat(g.style.marginRight)))}},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mmultiscripts Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mmultiscripts.js")});
/*
* /MathJax-v2/jax/output/HTML-CSS/autoload/ms.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("HTML-CSS Jax Ready",function(){var c="2.7.7";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.ms.Augment({toHTML:function(e){e=this.HTMLhandleSize(this.HTMLcreateSpan(e));var d=this.getValues("lquote","rquote","mathvariant");if(!this.hasValue("lquote")||d.lquote==='"'){d.lquote="\u201C"}if(!this.hasValue("rquote")||d.rquote==='"'){d.rquote="\u201D"}if(d.lquote==="\u201C"&&d.mathvariant==="monospace"){d.lquote='"'}if(d.rquote==="\u201D"&&d.mathvariant==="monospace"){d.rquote='"'}var f=d.lquote+this.data.join("")+d.rquote;this.HTMLhandleVariant(e,this.HTMLgetVariant(),f);this.HTMLhandleSpace(e);this.HTMLhandleColor(e);this.HTMLhandleDir(e);return e}});MathJax.Hub.Startup.signal.Post("HTML-CSS ms Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/ms.js")});
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