ceph/src/boost/libs/math/doc/equations/legendre_2.mml

   1 <?xml version="1.0" encoding="UTF-8"?>
   2 <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.1 plus MathML 2.0//EN" "http://www.w3.org/TR/MathML2/dtd/xhtml-math11-f.dtd" [<!ENTITY mathml 'http://www.w3.org/1998/Math/MathML'>]>
   3 <html xmlns="http://www.w3.org/1999/xhtml">
   4 <head><title>legendre_2</title>
   5 <!-- MathML created with MathCast Equation Editor version 0.92 -->
   6 </head>
   7 <body>
   8 <math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
   9   <mrow>
  10     <mtable columnalign="right center center center left">
  11       <mtr>
  12         <mtd>
  13           <mtext>legendre_q</mtext>
  14           <mfenced>
  15             <mrow>
  16               <mn>0,</mn>
  17               <mi>x</mi>
  18             </mrow>
  19           </mfenced>
  20         </mtd>
  21         <mtd>
  22           <mo>=</mo>
  23         </mtd>
  24         <mtd>
  25           <msub>
  26             <mi>Q</mi>
  27             <mn>0</mn>
  28           </msub>
  29           <mfenced>
  30             <mrow>
  31               <mi>x</mi>
  32             </mrow>
  33           </mfenced>
  34         </mtd>
  35         <mtd>
  36           <mo>=</mo>
  37         </mtd>
  38         <mtd>
  39           <mfrac>
  40             <mn>1</mn>
  41             <mn>2</mn>
  42           </mfrac>
  43           <mi>ln</mi>
  44           <mfenced>
  45             <mrow>
  46               <mfrac>
  47                 <mrow>
  48                   <mn>1</mn>
  49                   <mo>+</mo>
  50                   <mi>x</mi>
  51                 </mrow>
  52                 <mrow>
  53                   <mn>1</mn>
  54                   <mo>&#x2212;</mo>
  55                   <mi>x</mi>
  56                 </mrow>
  57               </mfrac>
  58             </mrow>
  59           </mfenced>
  60         </mtd>
  61       </mtr>
  62       <mtr>
  63         <mtd>
  64           <mtext>legendre_q</mtext>
  65           <mfenced>
  66             <mrow>
  67               <mn>1,</mn>
  68               <mi>x</mi>
  69             </mrow>
  70           </mfenced>
  71         </mtd>
  72         <mtd>
  73           <mo>=</mo>
  74         </mtd>
  75         <mtd>
  76           <msub>
  77             <mi>Q</mi>
  78             <mn>1</mn>
  79           </msub>
  80           <mfenced>
  81             <mrow>
  82               <mi>x</mi>
  83             </mrow>
  84           </mfenced>
  85         </mtd>
  86         <mtd>
  87           <mo>=</mo>
  88         </mtd>
  89         <mtd>
  90           <mfrac>
  91             <mi>x</mi>
  92             <mn>2</mn>
  93           </mfrac>
  94           <mi>ln</mi>
  95           <mfenced>
  96             <mrow>
  97               <mfrac>
  98                 <mrow>
  99                   <mn>1</mn>
 100                   <mo>+</mo>
 101                   <mi>x</mi>
 102                 </mrow>
 103                 <mrow>
 104                   <mn>1</mn>
 105                   <mo>&#x2212;</mo>
 106                   <mi>x</mi>
 107                 </mrow>
 108               </mfrac>
 109             </mrow>
 110           </mfenced>
 111           <mo>&#x2212;</mo>
 112           <mn>1</mn>
 113         </mtd>
 114       </mtr>
 115     </mtable>
 116   </mrow>
 117 </math></body>
 118 </html>