libs/math/doc/equations/ibeta6.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>ibeta6</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>
  11       <mtr>
  12         <mtd>
  13           <msub>
  14             <mi>I</mi>
  15             <mi>x</mi>
  16           </msub>
  17           <mfenced>
  18             <mrow>
  19               <mi>a</mi>
  20               <mo>,</mo>
  21               <mi>b</mi>
  22             </mrow>
  23           </mfenced>
  24         </mtd>
  25         <mtd>
  26           <mo>=</mo>
  27         </mtd>
  28         <mtd>
  29           <mfrac>
  30             <mrow>
  31               <msup>
  32                 <mi>x</mi>
  33                 <mi>a</mi>
  34               </msup>
  35               <msup>
  36                 <mi>y</mi>
  37                 <mi>b</mi>
  38               </msup>
  39             </mrow>
  40             <mrow>
  41               <mi>B</mi>
  42               <mfenced>
  43                 <mrow>
  44                   <mrow>
  45                     <mi>a</mi>
  46                     <mo>,</mo>
  47                     <mi>b</mi>
  48                   </mrow>
  49                 </mrow>
  50               </mfenced>
  51             </mrow>
  52           </mfrac>
  53           <mfenced>
  54             <mrow>
  55               <mfrac>
  56                 <msub>
  57                   <mi>&#x3b1;</mi>
  58                   <mn>1</mn>
  59                 </msub>
  60                 <mrow>
  61                   <msub>
  62                     <mi>&#x3b2;</mi>
  63                     <mn>1</mn>
  64                   </msub>
  65                   <mo>+</mo>
  66                   <mfrac>
  67                     <msub>
  68                       <mi>&#x3b1;</mi>
  69                       <mn>2</mn>
  70                     </msub>
  71                     <mrow>
  72                       <msub>
  73                         <mi>&#x3b2;</mi>
  74                         <mn>2</mn>
  75                       </msub>
  76                       <mo>+</mo>
  77                       <mfrac>
  78                         <msub>
  79                           <mi>&#x3b1;</mi>
  80                           <mn>3</mn>
  81                         </msub>
  82                         <mrow>
  83                           <msub>
  84                             <mi>&#x3b2;</mi>
  85                             <mn>3</mn>
  86                           </msub>
  87                           <mo>+</mo>
  88                           <mo>&#x2026;</mo>
  89                         </mrow>
  90                       </mfrac>
  91                     </mrow>
  92                   </mfrac>
  93                 </mrow>
  94               </mfrac>
  95             </mrow>
  96           </mfenced>
  97         </mtd>
  98       </mtr>
  99       <mtr>
 100         <mtd>
 101           <msub>
 102             <mi>&#x3b1;</mi>
 103             <mn>1</mn>
 104           </msub>
 105           <mo>=</mo>
 106           <mn>1</mn>
 107           <mspace width="1.0em"/>
 108           <mo>,</mo>
 109           <mspace width="1.0em"/>
 110           <msub>
 111             <mi>&#x3b1;</mi>
 112             <mrow>
 113               <mi>m</mi>
 114               <mo>+</mo>
 115               <mn>1</mn>
 116             </mrow>
 117           </msub>
 118           <mspace width="1.0em"/>
 119         </mtd>
 120         <mtd>
 121           <mo>=</mo>
 122         </mtd>
 123         <mtd>
 124           <mfrac>
 125             <mrow>
 126               <mfenced>
 127                 <mrow>
 128                   <mi>a</mi>
 129                   <mo>+</mo>
 130                   <mi>m</mi>
 131                   <mo>&#x2212;</mo>
 132                   <mn>1</mn>
 133                 </mrow>
 134               </mfenced>
 135               <mfenced>
 136                 <mrow>
 137                   <mi>a</mi>
 138                   <mo>+</mo>
 139                   <mi>b</mi>
 140                   <mo>+</mo>
 141                   <mi>m</mi>
 142                   <mo>&#x2212;</mo>
 143                   <mn>1</mn>
 144                 </mrow>
 145               </mfenced>
 146               <mi>m</mi>
 147               <mfenced>
 148                 <mrow>
 149                   <mi>b</mi>
 150                   <mo>&#x2212;</mo>
 151                   <mi>m</mi>
 152                 </mrow>
 153               </mfenced>
 154               <msup>
 155                 <mi>x</mi>
 156                 <mn>2</mn>
 157               </msup>
 158             </mrow>
 159             <mrow>
 160               <msup>
 161                 <mfenced>
 162                   <mrow>
 163                     <mi>a</mi>
 164                     <mo>+</mo>
 165                     <mn>2</mn>
 166                     <mi>m</mi>
 167                     <mo>&#x2212;</mo>
 168                     <mn>1</mn>
 169                   </mrow>
 170                 </mfenced>
 171                 <mn>2</mn>
 172               </msup>
 173             </mrow>
 174           </mfrac>
 175         </mtd>
 176       </mtr>
 177       <mtr>
 178         <mtd>
 179           <msub>
 180             <mi>&#x3b2;</mi>
 181             <mrow>
 182               <mi>m</mi>
 183               <mo>+</mo>
 184               <mn>1</mn>
 185             </mrow>
 186           </msub>
 187         </mtd>
 188         <mtd>
 189           <mo>=</mo>
 190         </mtd>
 191         <mtd>
 192           <mi>m</mi>
 193           <mo>+</mo>
 194           <mfrac>
 195             <mrow>
 196               <mi>m</mi>
 197               <mfenced>
 198                 <mrow>
 199                   <mi>b</mi>
 200                   <mo>&#x2212;</mo>
 201                   <mi>m</mi>
 202                 </mrow>
 203               </mfenced>
 204               <mi>x</mi>
 205             </mrow>
 206             <mrow>
 207               <mi>a</mi>
 208               <mo>+</mo>
 209               <mn>2</mn>
 210               <mi>m</mi>
 211               <mo>&#x2212;</mo>
 212               <mn>1</mn>
 213             </mrow>
 214           </mfrac>
 215           <mo>+</mo>
 216           <mfrac>
 217             <mrow>
 218               <mfenced>
 219                 <mrow>
 220                   <mi>a</mi>
 221                   <mo>+</mo>
 222                   <mi>m</mi>
 223                 </mrow>
 224               </mfenced>
 225               <mfenced>
 226                 <mrow>
 227                   <mi>a</mi>
 228                   <mo>&#x2212;</mo>
 229                   <mfenced>
 230                     <mrow>
 231                       <mi>a</mi>
 232                       <mo>+</mo>
 233                       <mi>b</mi>
 234                     </mrow>
 235                   </mfenced>
 236                   <mi>x</mi>
 237                   <mo>+</mo>
 238                   <mn>1</mn>
 239                   <mo>+</mo>
 240                   <mi>m</mi>
 241                   <mfenced>
 242                     <mrow>
 243                       <mn>2</mn>
 244                       <mo>&#x2212;</mo>
 245                       <mi>x</mi>
 246                     </mrow>
 247                   </mfenced>
 248                 </mrow>
 249               </mfenced>
 250             </mrow>
 251             <mrow>
 252               <mi>a</mi>
 253               <mo>+</mo>
 254               <mn>2</mn>
 255               <mi>m</mi>
 256               <mo>+</mo>
 257               <mn>1</mn>
 258             </mrow>
 259           </mfrac>
 260         </mtd>
 261       </mtr>
 262     </mtable>
 263   </mrow>
 264 </math></body>
 265 </html>