ceph/src/boost/libs/math/doc/equations/legendre_3.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_3</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 left">
  11       <mtr>
  12         <mtd>
  13           <msubsup>
  14             <mi>P</mi>
  15             <mrow>
  16               <mi>l</mi>
  17             </mrow>
  18             <mrow>
  19               <mo>&#x2212;</mo>
  20               <mi>m</mi>
  21             </mrow>
  22           </msubsup>
  23           <mfenced>
  24             <mrow>
  25               <mi>x</mi>
  26             </mrow>
  27           </mfenced>
  28         </mtd>
  29         <mtd>
  30           <mo>=</mo>
  31         </mtd>
  32         <mtd>
  33           <msup>
  34             <mfenced>
  35               <mrow>
  36                 <mo>&#x2212;</mo>
  37                 <mn>1</mn>
  38               </mrow>
  39             </mfenced>
  40             <mi>m</mi>
  41           </msup>
  42           <mfrac>
  43             <mrow>
  44               <mfenced>
  45                 <mrow>
  46                   <mi>l</mi>
  47                   <mo>&#x2212;</mo>
  48                   <mi>m</mi>
  49                 </mrow>
  50               </mfenced>
  51               <mo>!</mo>
  52             </mrow>
  53             <mrow>
  54               <mfenced>
  55                 <mrow>
  56                   <mi>l</mi>
  57                   <mo>+</mo>
  58                   <mi>m</mi>
  59                 </mrow>
  60               </mfenced>
  61               <mo>!</mo>
  62             </mrow>
  63           </mfrac>
  64           <msubsup>
  65             <mi>P</mi>
  66             <mrow>
  67               <mi>l</mi>
  68             </mrow>
  69             <mi>m</mi>
  70           </msubsup>
  71           <mfenced>
  72             <mrow>
  73               <mi>x</mi>
  74             </mrow>
  75           </mfenced>
  76         </mtd>
  77       </mtr>
  78       <mtr>
  79         <mtd>
  80           <msubsup>
  81             <mi>P</mi>
  82             <mrow>
  83               <mo>&#x2212;</mo>
  84               <mi>l</mi>
  85               <mo>&#x2212;</mo>
  86               <mn>1</mn>
  87             </mrow>
  88             <mi>m</mi>
  89           </msubsup>
  90           <mfenced>
  91             <mrow>
  92               <mi>x</mi>
  93             </mrow>
  94           </mfenced>
  95         </mtd>
  96         <mtd>
  97           <mo>=</mo>
  98         </mtd>
  99         <mtd>
 100           <msubsup>
 101             <mi>P</mi>
 102             <mrow>
 103               <mi>l</mi>
 104             </mrow>
 105             <mi>m</mi>
 106           </msubsup>
 107           <mfenced>
 108             <mrow>
 109               <mi>x</mi>
 110             </mrow>
 111           </mfenced>
 112         </mtd>
 113       </mtr>
 114     </mtable>
 115   </mrow>
 116 </math></body>
 117 </html>