ceph/src/boost/libs/math/doc/equations/zeta6.mml

   1 <?xml version='1.0'?>
   2 <!DOCTYPE html PUBLIC '-//W3C//DTD XHTML 1.1 plus MathML 2.0//EN'
   3   'http://www.w3.org/TR/MathML2/dtd/xhtml-math11-f.dtd'
   4   [<!ENTITY mathml 'http://www.w3.org/1998/Math/MathML'>]>
   5 <html xmlns='http://www.w3.org/1999/xhtml'>
   6 <head><title>zeta6</title>
   7 <!-- MathML created with MathCast Equation Editor version 0.89 -->
   8 </head>
   9 <body>
  10 <math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
  11   <mrow>
  12     <mi>&#x03B6;</mi>
  13     <mfenced>
  14       <mrow>
  15         <mi>s</mi>
  16       </mrow>
  17     </mfenced>
  18     <mspace width="1em"/>
  19     <mo>=</mo>
  20     <mspace width="1em"/>
  21     <mfrac>
  22       <mrow>
  23         <mo>&#x2212;</mo>
  24         <mn>1</mn>
  25       </mrow>
  26       <mrow>
  27         <msup>
  28           <mi>s</mi>
  29           <mi>n</mi>
  30         </msup>
  31         <mfenced>
  32           <mrow>
  33             <mn>1</mn>
  34             <mo>&#x2212;</mo>
  35             <msup>
  36               <mn>2</mn>
  37               <mrow>
  38                 <mn>1</mn>
  39                 <mo>&#x2212;</mo>
  40                 <mi>s</mi>
  41               </mrow>
  42             </msup>
  43           </mrow>
  44         </mfenced>
  45       </mrow>
  46     </mfrac>
  47     <munderover>
  48       <mo>&#x2211;</mo>
  49       <mrow>
  50         <mi>j</mi>
  51         <mo>=</mo>
  52         <mn>0</mn>
  53       </mrow>
  54       <mrow>
  55         <mn>2</mn>
  56         <mi>n</mi>
  57         <mo>&#x2212;</mo>
  58         <mn>1</mn>
  59       </mrow>
  60     </munderover>
  61     <mfrac>
  62       <mrow>
  63         <msub>
  64           <mi>e</mi>
  65           <mi>j</mi>
  66         </msub>
  67       </mrow>
  68       <msup>
  69         <mfenced>
  70           <mrow>
  71             <mi>j</mi>
  72             <mo>+</mo>
  73             <mn>1</mn>
  74           </mrow>
  75         </mfenced>
  76         <mi>s</mi>
  77       </msup>
  78     </mfrac>
  79     <mspace width="1em"/>
  80     <mo>+</mo>
  81     <mspace width="1em"/>
  82     <mi>&#x03B3;</mi>
  83     <mfenced>
  84       <mrow>
  85         <mi>s</mi>
  86       </mrow>
  87     </mfenced>
  88     <mspace width="1em"/>
  89     <mo>;</mo>
  90     <mspace width="1em"/>
  91     <msub>
  92       <mi>e</mi>
  93       <mi>j</mi>
  94     </msub>
  95     <mo>=</mo>
  96     <msup>
  97       <mfenced>
  98         <mrow>
  99           <mo>&#x2212;</mo>
 100           <mn>1</mn>
 101         </mrow>
 102       </mfenced>
 103       <mi>j</mi>
 104     </msup>
 105     <mfenced>
 106       <mrow>
 107         <munderover>
 108           <mo>&#x2211;</mo>
 109           <mrow>
 110             <mi>k</mi>
 111             <mo>=</mo>
 112             <mn>0</mn>
 113           </mrow>
 114           <mrow>
 115             <mi>j</mi>
 116             <mo>&#x2212;</mo>
 117             <mi>n</mi>
 118           </mrow>
 119         </munderover>
 120         <mfrac>
 121           <mrow>
 122             <mi>n</mi>
 123             <mo>!</mo>
 124           </mrow>
 125           <mrow>
 126             <mi>k</mi>
 127             <mo>!</mo>
 128             <mfenced>
 129               <mrow>
 130                 <mi>n</mi>
 131                 <mo>&#x2212;</mo>
 132                 <mi>k</mi>
 133               </mrow>
 134             </mfenced>
 135             <mo>!</mo>
 136           </mrow>
 137         </mfrac>
 138         <mo>&#x2212;</mo>
 139         <msup>
 140           <mn>2</mn>
 141           <mi>n</mi>
 142         </msup>
 143       </mrow>
 144     </mfenced>
 145     <mspace width="1em"/>
 146     <mo>&#x2227;</mo>
 147     <mspace width="1em"/>
 148     <mo>|</mo>
 149     <msub>
 150       <mi>&#x03B3;</mi>
 151       <mi>n</mi>
 152     </msub>
 153     <mfenced>
 154       <mrow>
 155         <mi>s</mi>
 156       </mrow>
 157     </mfenced>
 158     <mo>|</mo>
 159     <mo>&lt;</mo>
 160     <mo>=</mo>
 161     <mfrac>
 162       <mn>1</mn>
 163       <mrow>
 164         <msup>
 165           <mn>8</mn>
 166           <mi>n</mi>
 167         </msup>
 168         <mo>|</mo>
 169         <mn>1</mn>
 170         <mo>&#x2212;</mo>
 171         <msup>
 172           <mn>2</mn>
 173           <mrow>
 174             <mn>1</mn>
 175             <mo>&#x2212;</mo>
 176             <mi>s</mi>
 177           </mrow>
 178         </msup>
 179         <mo>|</mo>
 180       </mrow>
 181     </mfrac>
 182   </mrow>
 183 </math>
 184 </body>
 185 </html>