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			642 lines
		
	
	
		
			23 KiB
		
	
	
	
		
			JavaScript
		
	
	
	
	
	
			
		
		
	
	
			642 lines
		
	
	
		
			23 KiB
		
	
	
	
		
			JavaScript
		
	
	
	
	
	
| /* -*- Mode: Javascript; indent-tabs-mode:nil; js-indent-level: 2 -*- */
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| /* vim: set ts=2 et sw=2 tw=80: */
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| 
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| /*************************************************************
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|  *
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|  *  MathJax/extensions/TeX/AMSmath.js
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|  *
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|  *  Implements AMS math environments and macros.
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|  *  
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|  *  ---------------------------------------------------------------------
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|  *  
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|  *  Copyright (c) 2009-2015 The MathJax Consortium
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|  * 
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|  *  Licensed under the Apache License, Version 2.0 (the "License");
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|  *  you may not use this file except in compliance with the License.
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|  *  You may obtain a copy of the License at
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|  * 
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|  *      http://www.apache.org/licenses/LICENSE-2.0
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|  * 
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|  *  Unless required by applicable law or agreed to in writing, software
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|  *  distributed under the License is distributed on an "AS IS" BASIS,
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|  *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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|  *  See the License for the specific language governing permissions and
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|  *  limitations under the License.
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|  */
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| 
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| MathJax.Extension["TeX/AMSmath"] = {
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|   version: "2.6.1",
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|   
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|   number: 0,        // current equation number
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|   startNumber: 0,   // current starting equation number (for when equation is restarted)
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|   IDs: {},          // IDs used in previous equations
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|   eqIDs: {},        // IDs used in this equation
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|   labels: {},       // the set of labels
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|   eqlabels: {},     // labels in the current equation
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|   refs: []          // array of jax with unresolved references
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| };
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| 
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| MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () {
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|   
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|   var MML = MathJax.ElementJax.mml,
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|       TEX = MathJax.InputJax.TeX,
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|       AMS = MathJax.Extension["TeX/AMSmath"];
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| 
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|   var TEXDEF = TEX.Definitions,
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|       STACKITEM = TEX.Stack.Item,
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|       CONFIG = TEX.config.equationNumbers;
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|       
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|   var COLS = function (W) {
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|     var WW = [];
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|     for (var i = 0, m = W.length; i < m; i++) 
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|       {WW[i] = TEX.Parse.prototype.Em(W[i])}
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|     return WW.join(" ");
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|   };
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|   
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|   /******************************************************************************/
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|   
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|   TEXDEF.Add({
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|     mathchar0mo: {
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|       iiiint:     ['2A0C',{texClass: MML.TEXCLASS.OP}]
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|     },
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|     
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|     macros: {
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|       mathring:   ['Accent','2DA'],  // or 0x30A
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|       
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|       nobreakspace: 'Tilde',
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|       negmedspace:    ['Spacer',MML.LENGTH.NEGATIVEMEDIUMMATHSPACE],
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|       negthickspace:  ['Spacer',MML.LENGTH.NEGATIVETHICKMATHSPACE],
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|       
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| //    intI:       ['Macro','\\mathchoice{\\!}{}{}{}\\!\\!\\int'],
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| //    iint:       ['MultiIntegral','\\int\\intI'],          // now in core TeX input jax
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| //    iiint:      ['MultiIntegral','\\int\\intI\\intI'],    // now in core TeX input jax
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| //    iiiint:     ['MultiIntegral','\\int\\intI\\intI\\intI'], // now in mathchar0mo above
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|       idotsint:   ['MultiIntegral','\\int\\cdots\\int'],
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|       
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| //    dddot:      ['Macro','\\mathop{#1}\\limits^{\\textstyle \\mathord{.}\\mathord{.}\\mathord{.}}',1],
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| //    ddddot:     ['Macro','\\mathop{#1}\\limits^{\\textstyle \\mathord{.}\\mathord{.}\\mathord{.}\\mathord{.}}',1],
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|       dddot:      ['Accent','20DB'],
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|       ddddot:     ['Accent','20DC'],
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|       
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|       sideset:    ['Macro','\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}',3],
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|       
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|       boxed:      ['Macro','\\fbox{$\\displaystyle{#1}$}',1],
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|       
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|       tag:         'HandleTag',
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|       notag:       'HandleNoTag',
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|       label:       'HandleLabel',
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|       ref:         'HandleRef',
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|       eqref:       ['HandleRef',true],
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|       
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|       substack:   ['Macro','\\begin{subarray}{c}#1\\end{subarray}',1],
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|       
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|       injlim:     ['NamedOp','inj lim'],
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|       projlim:    ['NamedOp','proj lim'],
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|       varliminf:  ['Macro','\\mathop{\\underline{\\mmlToken{mi}{lim}}}'],
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|       varlimsup:  ['Macro','\\mathop{\\overline{\\mmlToken{mi}{lim}}}'],
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|       varinjlim:  ['Macro','\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}}}'],
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|       varprojlim: ['Macro','\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}}}'],
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|       
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|       DeclareMathOperator: 'HandleDeclareOp',
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|       operatorname:        'HandleOperatorName',
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|       SkipLimits:          'SkipLimits',
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|       
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|       genfrac:     'Genfrac',
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|       frac:       ['Genfrac',"","","",""],
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|       tfrac:      ['Genfrac',"","","",1],
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|       dfrac:      ['Genfrac',"","","",0],
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|       binom:      ['Genfrac',"(",")","0",""],
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|       tbinom:     ['Genfrac',"(",")","0",1],
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|       dbinom:     ['Genfrac',"(",")","0",0],
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|       
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|       cfrac:       'CFrac',
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|       
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|       shoveleft:  ['HandleShove',MML.ALIGN.LEFT],
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|       shoveright: ['HandleShove',MML.ALIGN.RIGHT],
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|       
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|       xrightarrow: ['xArrow',0x2192,5,6],
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|       xleftarrow:  ['xArrow',0x2190,7,3]
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|     },
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|     
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|     environment: {
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|       align:         ['AMSarray',null,true,true,  'rlrlrlrlrlrl',COLS([0,2,0,2,0,2,0,2,0,2,0])],
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|       'align*':      ['AMSarray',null,false,true, 'rlrlrlrlrlrl',COLS([0,2,0,2,0,2,0,2,0,2,0])],
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|       multline:      ['Multline',null,true],
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|       'multline*':   ['Multline',null,false],
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|       split:         ['AMSarray',null,false,false,'rl',COLS([0])],
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|       gather:        ['AMSarray',null,true,true,  'c'],
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|       'gather*':     ['AMSarray',null,false,true, 'c'],
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|       
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|       alignat:       ['AlignAt',null,true,true],
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|       'alignat*':    ['AlignAt',null,false,true],
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|       alignedat:     ['AlignAt',null,false,false],
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| 
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|       aligned:       ['AlignedAMSArray',null,null,null,'rlrlrlrlrlrl',COLS([0,2,0,2,0,2,0,2,0,2,0]),".5em",'D'],
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|       gathered:      ['AlignedAMSArray',null,null,null,'c',null,".5em",'D'],
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| 
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|       subarray:      ['Array',null,null,null,null,COLS([0]),"0.1em",'S',1],
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|       smallmatrix:   ['Array',null,null,null,'c',COLS([1/3]),".2em",'S',1],
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|       
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|       'equation':    ['EquationBegin','Equation',true],
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|       'equation*':   ['EquationBegin','EquationStar',false],
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| 
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|       eqnarray:      ['AMSarray',null,true,true, 'rcl',"0 "+MML.LENGTH.THICKMATHSPACE,".5em"],
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|       'eqnarray*':   ['AMSarray',null,false,true,'rcl',"0 "+MML.LENGTH.THICKMATHSPACE,".5em"]
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|     },
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|     
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|     delimiter: {
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|       '\\lvert':     ['2223',{texClass:MML.TEXCLASS.OPEN}],
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|       '\\rvert':     ['2223',{texClass:MML.TEXCLASS.CLOSE}],
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|       '\\lVert':     ['2225',{texClass:MML.TEXCLASS.OPEN}],
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|       '\\rVert':     ['2225',{texClass:MML.TEXCLASS.CLOSE}]
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|     }
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|   },null,true);
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|     
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| 
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|   /******************************************************************************/
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|   
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|   TEX.Parse.Augment({
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| 
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|     /*
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|      *  Add the tag to the environment (to be added to the table row later)
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|      */
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|     HandleTag: function (name) {
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|       var star = this.GetStar();
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|       var arg = this.trimSpaces(this.GetArgument(name)), tag = arg;
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|       if (!star) {arg = CONFIG.formatTag(arg)}
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|       var global = this.stack.global; global.tagID = tag;
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|       if (global.notags) {
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|         TEX.Error(["CommandNotAllowedInEnv",
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|                    "%1 not allowed in %2 environment",
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|                    name,global.notags]
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|         );
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|       }
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|       if (global.tag) {TEX.Error(["MultipleCommand","Multiple %1",name])}
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|       global.tag = MML.mtd.apply(MML,this.InternalMath(arg)).With({id:CONFIG.formatID(tag)});
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|     },
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|     HandleNoTag: function (name) {
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|       if (this.stack.global.tag) {delete this.stack.global.tag}
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|       this.stack.global.notag = true;  // prevent auto-tagging
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|     },
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|     
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|     /*
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|      *  Record a label name for a tag
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|      */
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|     HandleLabel: function (name) {
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|       var global = this.stack.global, label = this.GetArgument(name);
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|       if (label === "") return;
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|       if (!AMS.refUpdate) {
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|         if (global.label) {TEX.Error(["MultipleCommand","Multiple %1",name])}
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|         global.label = label;
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|         if (AMS.labels[label] || AMS.eqlabels[label])
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|           {TEX.Error(["MultipleLabel","Label '%1' multiply defined",label])}
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|         AMS.eqlabels[label] = {tag:"???", id:""}; // will be replaced by tag value later
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|       }
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|     },
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|     
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|     /*
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|      *  Handle a label reference
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|      */
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|     HandleRef: function (name,eqref) {
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|       var label = this.GetArgument(name);
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|       var ref = AMS.labels[label] || AMS.eqlabels[label];
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|       if (!ref) {ref = {tag:"???",id:""}; AMS.badref = !AMS.refUpdate}
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|       var tag = ref.tag; if (eqref) {tag = CONFIG.formatTag(tag)}
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|       this.Push(MML.mrow.apply(MML,this.InternalMath(tag)).With({
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|         href:CONFIG.formatURL(ref.id), "class":"MathJax_ref"
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|       }));
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|     },
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|     
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|     /*
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|      *  Handle \DeclareMathOperator
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|      */
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|     HandleDeclareOp: function (name) {
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|       var limits = (this.GetStar() ? "" : "\\nolimits\\SkipLimits");
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|       var cs = this.trimSpaces(this.GetArgument(name));
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|       if (cs.charAt(0) == "\\") {cs = cs.substr(1)}
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|       var op = this.GetArgument(name);
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|       op = op.replace(/\*/g,'\\text{*}').replace(/-/g,'\\text{-}');
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|       TEX.Definitions.macros[cs] = ['Macro','\\mathop{\\rm '+op+'}'+limits];
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|     },
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|     
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|     HandleOperatorName: function (name) {
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|       var limits = (this.GetStar() ? "" : "\\nolimits\\SkipLimits");
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|       var op = this.trimSpaces(this.GetArgument(name));
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|       op = op.replace(/\*/g,'\\text{*}').replace(/-/g,'\\text{-}');
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|       this.string = '\\mathop{\\rm '+op+'}'+limits+" "+this.string.slice(this.i);
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|       this.i = 0;
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|     },
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|     
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|     SkipLimits: function (name) {
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|       var c = this.GetNext(), i = this.i;
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|       if (c === "\\" && ++this.i && this.GetCS() !== "limits") this.i = i;
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|     },
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| 
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|     /*
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|      *  Record presence of \shoveleft and \shoveright
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|      */
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|     HandleShove: function (name,shove) {
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|       var top = this.stack.Top();
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|       if (top.type !== "multline" || top.data.length) {
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|         TEX.Error(["CommandAtTheBeginingOfLine",
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|                    "%1 must come at the beginning of the line",name]);
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|       }
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|       top.data.shove = shove;
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|     },
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|     
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|     /*
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|      *  Handle \cfrac
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|      */
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|     CFrac: function (name) {
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|       var lr  = this.trimSpaces(this.GetBrackets(name,"")),
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|           num = this.GetArgument(name),
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|           den = this.GetArgument(name);
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|       var frac = MML.mfrac(TEX.Parse('\\strut\\textstyle{'+num+'}',this.stack.env).mml(),
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|                            TEX.Parse('\\strut\\textstyle{'+den+'}',this.stack.env).mml());
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|       lr = ({l:MML.ALIGN.LEFT, r:MML.ALIGN.RIGHT,"":""})[lr];
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|       if (lr == null)
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|         {TEX.Error(["IllegalAlign","Illegal alignment specified in %1",name])}
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|       if (lr) {frac.numalign = frac.denomalign = lr}
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|       this.Push(frac);
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|     },
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|     
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|     /*
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|      *  Implement AMS generalized fraction
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|      */
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|     Genfrac: function (name,left,right,thick,style) {
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|       if (left  == null) {left  = this.GetDelimiterArg(name)}
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|       if (right == null) {right = this.GetDelimiterArg(name)}
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|       if (thick == null) {thick = this.GetArgument(name)}
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|       if (style == null) {style = this.trimSpaces(this.GetArgument(name))}
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|       var num = this.ParseArg(name);
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|       var den = this.ParseArg(name);
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|       var frac = MML.mfrac(num,den);
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|       if (thick !== "") {frac.linethickness = thick}
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|       if (left || right) {frac = TEX.fixedFence(left,frac.With({texWithDelims:true}),right)}
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|       if (style !== "") {
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|         var STYLE = (["D","T","S","SS"])[style];
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|         if (STYLE == null)
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|           {TEX.Error(["BadMathStyleFor","Bad math style for %1",name])}
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|         frac = MML.mstyle(frac);
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|         if (STYLE === "D") {frac.displaystyle = true; frac.scriptlevel = 0}
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|           else {frac.displaystyle = false; frac.scriptlevel = style - 1}
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|       }
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|       this.Push(frac);
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|     },
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| 
 | |
|     /*
 | |
|      *  Implements multline environment (mostly handled through STACKITEM below)
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|      */
 | |
|     Multline: function (begin,numbered) {
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|       this.Push(begin); this.checkEqnEnv();
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|       return STACKITEM.multline(numbered,this.stack).With({
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|         arraydef: {
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|           displaystyle: true,
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|           rowspacing: ".5em",
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|           width: TEX.config.MultLineWidth, columnwidth:"100%",
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|           side: TEX.config.TagSide,
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|           minlabelspacing: TEX.config.TagIndent
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|         }
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|       });
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|     },
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| 
 | |
|     /*
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|      *  Handle AMS aligned environments
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|      */
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|     AMSarray: function (begin,numbered,taggable,align,spacing) {
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|       this.Push(begin); if (taggable) {this.checkEqnEnv()}
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|       align = align.replace(/[^clr]/g,'').split('').join(' ');
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|       align = align.replace(/l/g,'left').replace(/r/g,'right').replace(/c/g,'center');
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|       return STACKITEM.AMSarray(begin.name,numbered,taggable,this.stack).With({
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|         arraydef: {
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|           displaystyle: true,
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|           rowspacing: ".5em",
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|           columnalign: align,
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|           columnspacing: (spacing||"1em"),
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|           rowspacing: "3pt",
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|           side: TEX.config.TagSide,
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|           minlabelspacing: TEX.config.TagIndent
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|         }
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|       });
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|     },
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|     
 | |
|     AlignedAMSArray: function (begin) {
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|       var align = this.GetBrackets("\\begin{"+begin.name+"}");
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|       return this.setArrayAlign(this.AMSarray.apply(this,arguments),align);
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|     },
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| 
 | |
|     /*
 | |
|      *  Handle alignat environments
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|      */
 | |
|     AlignAt: function (begin,numbered,taggable) {
 | |
|       var n, valign, align = "", spacing = [];
 | |
|       if (!taggable) {valign = this.GetBrackets("\\begin{"+begin.name+"}")}
 | |
|       n = this.GetArgument("\\begin{"+begin.name+"}");
 | |
|       if (n.match(/[^0-9]/)) {
 | |
|         TEX.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer",
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|                   "\\begin{"+begin.name+"}"]);
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|       }
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|       while (n > 0) {align += "rl"; spacing.push("0em 0em"); n--}
 | |
|       spacing = spacing.join(" ");
 | |
|       if (taggable) {return this.AMSarray(begin,numbered,taggable,align,spacing)}
 | |
|       var array = this.AMSarray(begin,numbered,taggable,align,spacing);
 | |
|       return this.setArrayAlign(array,valign);
 | |
|     },
 | |
|     
 | |
|     /*
 | |
|      *  Handle equation environment
 | |
|      */
 | |
|     EquationBegin: function (begin,force) {
 | |
|       this.checkEqnEnv();
 | |
|       this.stack.global.forcetag = (force && CONFIG.autoNumber !== "none");
 | |
|       return begin;
 | |
|     },
 | |
|     EquationStar: function (begin,row) {
 | |
|       this.stack.global.tagged = true; // prevent automatic tagging
 | |
|       return row;
 | |
|     },
 | |
|     
 | |
|     /*
 | |
|      *  Check for bad nesting of equation environments
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|      */
 | |
|     checkEqnEnv: function () {
 | |
|       if (this.stack.global.eqnenv)
 | |
|         {TEX.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}
 | |
|       this.stack.global.eqnenv = true;
 | |
|     },
 | |
|     
 | |
|     /*
 | |
|      *  Handle multiple integrals (make a mathop if followed by limits)
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|      */
 | |
|     MultiIntegral: function (name,integral) {
 | |
|       var next = this.GetNext();
 | |
|       if (next === "\\") {
 | |
|         var i = this.i; next = this.GetArgument(name); this.i = i;
 | |
|         if (next === "\\limits") {
 | |
|           if (name === "\\idotsint") {integral = "\\!\\!\\mathop{\\,\\,"+integral+"}"}
 | |
|                            else {integral = "\\!\\!\\!\\mathop{\\,\\,\\,"+integral+"}"}
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|         }
 | |
|       }
 | |
|       this.string = integral + " " + this.string.slice(this.i);
 | |
|       this.i = 0;
 | |
|     },
 | |
|     
 | |
|     /*
 | |
|      *  Handle stretchable arrows
 | |
|      */
 | |
|     xArrow: function (name,chr,l,r) {
 | |
|       var def = {width: "+"+(l+r)+"mu", lspace: l+"mu"};
 | |
|       var bot = this.GetBrackets(name),
 | |
|           top = this.ParseArg(name);
 | |
|       var arrow = MML.mo(MML.chars(String.fromCharCode(chr))).With({
 | |
|         stretchy: true, texClass: MML.TEXCLASS.REL
 | |
|       });
 | |
|       var mml = MML.munderover(arrow);
 | |
|       mml.SetData(mml.over,MML.mpadded(top).With(def).With({voffset:".15em"}));
 | |
|       if (bot) {
 | |
|         bot = TEX.Parse(bot,this.stack.env).mml()
 | |
|         mml.SetData(mml.under,MML.mpadded(bot).With(def).With({voffset:"-.24em"}));
 | |
|       }
 | |
|       this.Push(mml.With({subsupOK:true}));
 | |
|     },
 | |
|     
 | |
|     /*
 | |
|      *  Get a delimiter or empty argument
 | |
|      */
 | |
|     GetDelimiterArg: function (name) {
 | |
|       var c = this.trimSpaces(this.GetArgument(name));
 | |
|       if (c == "") return null;
 | |
|       if (c in TEXDEF.delimiter) return c;
 | |
|       TEX.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",name]);
 | |
|     },
 | |
|     
 | |
|     /*
 | |
|      *  Get a star following a control sequence name, if any
 | |
|      */
 | |
|     GetStar: function () {
 | |
|       var star = (this.GetNext() === "*");
 | |
|       if (star) {this.i++}
 | |
|       return star;
 | |
|     }
 | |
|     
 | |
|   });
 | |
|   
 | |
|   /******************************************************************************/
 | |
|   
 | |
|   STACKITEM.Augment({
 | |
|     /*
 | |
|      *  Increment equation number and form tag mtd element
 | |
|      */
 | |
|     autoTag: function () {
 | |
|       var global = this.global;
 | |
|       if (!global.notag) {
 | |
|         AMS.number++; global.tagID = CONFIG.formatNumber(AMS.number.toString());
 | |
|         var mml = TEX.Parse("\\text{"+CONFIG.formatTag(global.tagID)+"}",{}).mml();
 | |
|         global.tag = MML.mtd(mml).With({id:CONFIG.formatID(global.tagID)});
 | |
|       }
 | |
|     },
 | |
|   
 | |
|     /*
 | |
|      *  Get the tag and record the label, if any
 | |
|      */
 | |
|     getTag: function () {
 | |
|       var global = this.global, tag = global.tag; global.tagged = true;
 | |
|       if (global.label) {
 | |
|         if (CONFIG.useLabelIds) {tag.id = CONFIG.formatID(global.label)}
 | |
|         AMS.eqlabels[global.label] = {tag:global.tagID, id:tag.id};        
 | |
|       }
 | |
|       //
 | |
|       //  Check for repeated ID's (either in the document or as
 | |
|       //  a previous tag) and find a unique related one. (#240)
 | |
|       //
 | |
|       if (document.getElementById(tag.id) || AMS.IDs[tag.id] || AMS.eqIDs[tag.id]) {
 | |
|         var i = 0, ID;
 | |
|         do {i++; ID = tag.id+"_"+i}
 | |
|           while (document.getElementById(ID) || AMS.IDs[ID] || AMS.eqIDs[ID]);
 | |
|         tag.id = ID; if (global.label) {AMS.eqlabels[global.label].id = ID}
 | |
|       }
 | |
|       AMS.eqIDs[tag.id] = 1;
 | |
|       this.clearTag();
 | |
|       return tag;
 | |
|     },
 | |
|     clearTag: function () {
 | |
|       var global = this.global;
 | |
|       delete global.tag; delete global.tagID; delete global.label;
 | |
|     },
 | |
| 
 | |
|     /*
 | |
|      *  If the initial child, skipping any initial space or
 | |
|      *  empty braces (TeXAtom with child being an empty inferred row),
 | |
|      *  is an <mo>, preceed it by an empty <mi> to force the <mo> to
 | |
|      *  be infix.
 | |
|      */
 | |
|     fixInitialMO: function (data) {
 | |
|       for (var i = 0, m = data.length; i < m; i++) {
 | |
|         if (data[i] && (data[i].type !== "mspace" &&
 | |
|            (data[i].type !== "texatom" || (data[i].data[0] && data[i].data[0].data.length)))) {
 | |
|           if (data[i].isEmbellished()) data.unshift(MML.mi());
 | |
|           break;
 | |
|         }
 | |
|       }
 | |
|     }
 | |
|   });
 | |
|   
 | |
|   /*
 | |
|    *  Implement multline environment via a STACKITEM
 | |
|    */
 | |
|   STACKITEM.multline = STACKITEM.array.Subclass({
 | |
|     type: "multline",
 | |
|     Init: function (numbered,stack) {
 | |
|       this.SUPER(arguments).Init.apply(this);
 | |
|       this.numbered = (numbered && CONFIG.autoNumber !== "none");
 | |
|       this.save = {notag: stack.global.notag};
 | |
|       stack.global.tagged = !numbered && !stack.global.forcetag; // prevent automatic tagging in starred environments
 | |
|     },
 | |
|     EndEntry: function () {
 | |
|       if (this.table.length) {this.fixInitialMO(this.data)}
 | |
|       var mtd = MML.mtd.apply(MML,this.data);
 | |
|       if (this.data.shove) {mtd.columnalign = this.data.shove}
 | |
|       this.row.push(mtd);
 | |
|       this.data = [];
 | |
|     },
 | |
|     EndRow: function () {
 | |
|       if (this.row.length != 1) {
 | |
|         TEX.Error(["MultlineRowsOneCol",
 | |
|                    "The rows within the %1 environment must have exactly one column",
 | |
|                    "multline"]);
 | |
|       }
 | |
|       this.table.push(this.row); this.row = [];
 | |
|     },
 | |
|     EndTable: function () {
 | |
|       this.SUPER(arguments).EndTable.call(this);
 | |
|       if (this.table.length) {
 | |
|         var m = this.table.length-1, i, label = -1;
 | |
|         if (!this.table[0][0].columnalign) {this.table[0][0].columnalign = MML.ALIGN.LEFT}
 | |
|         if (!this.table[m][0].columnalign) {this.table[m][0].columnalign = MML.ALIGN.RIGHT}
 | |
|         if (!this.global.tag && this.numbered) {this.autoTag()}
 | |
|         if (this.global.tag && !this.global.notags) {
 | |
|           label = (this.arraydef.side === "left" ? 0 : this.table.length - 1);
 | |
|           this.table[label] = [this.getTag()].concat(this.table[label]);
 | |
|         }
 | |
|         for (i = 0, m = this.table.length; i < m; i++) {
 | |
|           var mtr = (i === label ? MML.mlabeledtr : MML.mtr);
 | |
|           this.table[i] = mtr.apply(MML,this.table[i]);
 | |
|         }
 | |
|       }
 | |
|       this.global.notag  = this.save.notag;
 | |
|     }
 | |
|   });
 | |
|   
 | |
|   /*
 | |
|    *  Save data about numbering and taging equations, and add
 | |
|    *  tags at the ends of rows.
 | |
|    */
 | |
|   STACKITEM.AMSarray = STACKITEM.array.Subclass({
 | |
|     type: "AMSarray",
 | |
|     Init: function (name,numbered,taggable,stack) {
 | |
|       this.SUPER(arguments).Init.apply(this);
 | |
|       this.numbered = (numbered && CONFIG.autoNumber !== "none");
 | |
|       this.save = {notags: stack.global.notags, notag: stack.global.notag};
 | |
|       stack.global.notags = (taggable ? null : name);
 | |
|       stack.global.tagged = !numbered && !stack.global.forcetag; // prevent automatic tagging in starred environments
 | |
|     },
 | |
|     EndEntry: function () {
 | |
|       if (this.row.length) {this.fixInitialMO(this.data)}
 | |
|       this.row.push(MML.mtd.apply(MML,this.data));
 | |
|       this.data = [];
 | |
|     },
 | |
|     EndRow: function () {
 | |
|       var mtr = MML.mtr;
 | |
|       if (!this.global.tag && this.numbered) {this.autoTag()}
 | |
|       if (this.global.tag && !this.global.notags) {
 | |
|         this.row = [this.getTag()].concat(this.row);
 | |
|         mtr = MML.mlabeledtr;
 | |
|       } else {this.clearTag()}
 | |
|       if (this.numbered) {delete this.global.notag}
 | |
|       this.table.push(mtr.apply(MML,this.row)); this.row = [];
 | |
|     },
 | |
|     EndTable: function () {
 | |
|       this.SUPER(arguments).EndTable.call(this);
 | |
|       this.global.notags = this.save.notags;
 | |
|       this.global.notag  = this.save.notag;
 | |
|     }
 | |
|   });
 | |
|   
 | |
|   //
 | |
|   //  Look for \tag on a formula and make an mtable to include it
 | |
|   //
 | |
|   STACKITEM.start.Augment({
 | |
|     oldCheckItem: STACKITEM.start.prototype.checkItem,
 | |
|     checkItem: function (item) {
 | |
|       if (item.type === "stop") {
 | |
|         var mml = this.mmlData(), global = this.global;
 | |
|         if (AMS.display && !global.tag && !global.tagged && !global.isInner &&
 | |
|             (CONFIG.autoNumber === "all" || global.forcetag)) {this.autoTag()}
 | |
|         if (global.tag) {
 | |
|           var row = [this.getTag(),MML.mtd(mml)];
 | |
|           var def = {
 | |
|             side: TEX.config.TagSide,
 | |
|             minlabelspacing: TEX.config.TagIndent,
 | |
|             displaystyle: "inherit"   // replaced by TeX input jax Translate() function with actual value
 | |
|           };
 | |
|           mml = MML.mtable(MML.mlabeledtr.apply(MML,row)).With(def);
 | |
|         }
 | |
|         return STACKITEM.mml(mml);
 | |
|       }
 | |
|       return this.oldCheckItem.call(this,item);
 | |
|     }
 | |
|   });
 | |
|   
 | |
|   /******************************************************************************/
 | |
| 
 | |
|   /*
 | |
|    *  Add pre- and post-filters to handle the equation number maintainance.
 | |
|    */
 | |
|   TEX.prefilterHooks.Add(function (data) {
 | |
|     AMS.display = data.display;
 | |
|     AMS.number = AMS.startNumber;  // reset equation numbers (in case the equation restarted)
 | |
|     AMS.eqlabels = AMS.eqIDs = {}; AMS.badref = false;
 | |
|     if (AMS.refUpdate) {AMS.number = data.script.MathJax.startNumber}
 | |
|   });
 | |
|   TEX.postfilterHooks.Add(function (data) {
 | |
|     data.script.MathJax.startNumber = AMS.startNumber;
 | |
|     AMS.startNumber = AMS.number;                // equation numbers for next equation
 | |
|     MathJax.Hub.Insert(AMS.IDs,AMS.eqIDs);       // save IDs from this equation
 | |
|     MathJax.Hub.Insert(AMS.labels,AMS.eqlabels); // save labels from this equation
 | |
|     if (AMS.badref && !data.math.texError) {AMS.refs.push(data.script)}  // reprocess later
 | |
|   },100);
 | |
|   
 | |
|   MathJax.Hub.Register.MessageHook("Begin Math Input",function () {
 | |
|     AMS.refs = [];                 // array of jax with bad references
 | |
|     AMS.refUpdate = false;
 | |
|   });
 | |
|   MathJax.Hub.Register.MessageHook("End Math Input",function (message) {
 | |
|     if (AMS.refs.length) {
 | |
|       AMS.refUpdate = true;
 | |
|       for (var i = 0, m = AMS.refs.length; i < m; i++)
 | |
|         {AMS.refs[i].MathJax.state = MathJax.ElementJax.STATE.UPDATE}
 | |
|       return MathJax.Hub.processInput({
 | |
|         scripts:AMS.refs,
 | |
|         start: new Date().getTime(),
 | |
|         i:0, j:0, jax:{}, jaxIDs:[]
 | |
|       });
 | |
|     }
 | |
|     return null;
 | |
|   });
 | |
|   
 | |
|   //
 | |
|   //  Clear the equation numbers and labels
 | |
|   //
 | |
|   TEX.resetEquationNumbers = function (n,keepLabels) {
 | |
|     AMS.startNumber = (n || 0);
 | |
|     if (!keepLabels) {AMS.labels = AMS.IDs = {}}
 | |
|   }
 | |
| 
 | |
|   /******************************************************************************/
 | |
| 
 | |
|   MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready");
 | |
|   
 | |
| });
 | |
| 
 | |
| MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
 |