281 lines
6.1 KiB
XML
281 lines
6.1 KiB
XML
<?xml version="1.0" encoding="UTF-8"?>
|
|
<!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'>]>
|
|
<html xmlns="http://www.w3.org/1999/xhtml">
|
|
<head><title>ibeta8</title>
|
|
<!-- MathML created with MathCast Equation Editor version 0.92 -->
|
|
</head>
|
|
<body>
|
|
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
|
|
<mrow>
|
|
<mtable columnalign="right center left">
|
|
<mtr>
|
|
<mtd>
|
|
<msub>
|
|
<mi>I</mi>
|
|
<mi>x</mi>
|
|
</msub>
|
|
<mfenced>
|
|
<mrow>
|
|
<mi>a</mi>
|
|
<mo>,</mo>
|
|
<mi>b</mi>
|
|
</mrow>
|
|
</mfenced>
|
|
</mtd>
|
|
<mtd>
|
|
<mo>≈</mo>
|
|
</mtd>
|
|
<mtd>
|
|
<mi>M</mi>
|
|
<munderover>
|
|
<mo>∑</mo>
|
|
<mrow>
|
|
<mi>n</mi>
|
|
<mo>=</mo>
|
|
<mn>0</mn>
|
|
</mrow>
|
|
<mi>∞</mi>
|
|
</munderover>
|
|
<msub>
|
|
<mi>p</mi>
|
|
<mi>n</mi>
|
|
</msub>
|
|
<msub>
|
|
<mi>J</mi>
|
|
<mi>n</mi>
|
|
</msub>
|
|
<mfenced>
|
|
<mrow>
|
|
<mi>b</mi>
|
|
<mo>,</mo>
|
|
<mi>u</mi>
|
|
</mrow>
|
|
</mfenced>
|
|
<mspace width="1.0em"/>
|
|
<mo>;</mo>
|
|
<mspace width="1.0em"/>
|
|
<mi>a</mi>
|
|
<mo>></mo>
|
|
<mi>b</mi>
|
|
</mtd>
|
|
</mtr>
|
|
<mtr>
|
|
<mtd>
|
|
<mi>M</mi>
|
|
</mtd>
|
|
<mtd>
|
|
<mo>=</mo>
|
|
</mtd>
|
|
<mtd>
|
|
<mfrac>
|
|
<mrow>
|
|
<mi>H</mi>
|
|
<mfenced>
|
|
<mrow>
|
|
<mi>b</mi>
|
|
<mo>,</mo>
|
|
<mi>u</mi>
|
|
</mrow>
|
|
</mfenced>
|
|
<mi>Γ</mi>
|
|
<mfenced>
|
|
<mrow>
|
|
<mi>a</mi>
|
|
<mo>+</mo>
|
|
<mi>b</mi>
|
|
</mrow>
|
|
</mfenced>
|
|
</mrow>
|
|
<mrow>
|
|
<mi>Γ</mi>
|
|
<mfenced>
|
|
<mrow>
|
|
<mi>a</mi>
|
|
</mrow>
|
|
</mfenced>
|
|
<msup>
|
|
<mi>T</mi>
|
|
<mi>b</mi>
|
|
</msup>
|
|
</mrow>
|
|
</mfrac>
|
|
</mtd>
|
|
</mtr>
|
|
<mtr>
|
|
<mtd>
|
|
<mi>H</mi>
|
|
<mfenced>
|
|
<mrow>
|
|
<mi>c</mi>
|
|
<mo>,</mo>
|
|
<mi>u</mi>
|
|
</mrow>
|
|
</mfenced>
|
|
</mtd>
|
|
<mtd>
|
|
<mo>=</mo>
|
|
</mtd>
|
|
<mtd>
|
|
<mfrac>
|
|
<mrow>
|
|
<msup>
|
|
<mi>e</mi>
|
|
<mrow>
|
|
<mo>−</mo>
|
|
<mi>u</mi>
|
|
</mrow>
|
|
</msup>
|
|
<msup>
|
|
<mi>u</mi>
|
|
<mi>c</mi>
|
|
</msup>
|
|
</mrow>
|
|
<mrow>
|
|
<mi>Γ</mi>
|
|
<mfenced>
|
|
<mrow>
|
|
<mi>a</mi>
|
|
</mrow>
|
|
</mfenced>
|
|
</mrow>
|
|
</mfrac>
|
|
</mtd>
|
|
</mtr>
|
|
<mtr>
|
|
<mtd>
|
|
<mi>T</mi>
|
|
</mtd>
|
|
<mtd>
|
|
<mo>=</mo>
|
|
</mtd>
|
|
<mtd>
|
|
<mi>a</mi>
|
|
<mo>+</mo>
|
|
<mfrac>
|
|
<mrow>
|
|
<mi>b</mi>
|
|
<mo>−</mo>
|
|
<mn>1</mn>
|
|
</mrow>
|
|
<mn>2</mn>
|
|
</mfrac>
|
|
</mtd>
|
|
</mtr>
|
|
<mtr>
|
|
<mtd>
|
|
<mi>u</mi>
|
|
</mtd>
|
|
<mtd>
|
|
<mo>=</mo>
|
|
</mtd>
|
|
<mtd>
|
|
<mo>−</mo>
|
|
<mi>T</mi>
|
|
<mi>ln</mi>
|
|
<mfenced>
|
|
<mrow>
|
|
<mi>x</mi>
|
|
</mrow>
|
|
</mfenced>
|
|
</mtd>
|
|
</mtr>
|
|
<mtr>
|
|
<mtd>
|
|
<msub>
|
|
<mi>p</mi>
|
|
<mn>0</mn>
|
|
</msub>
|
|
</mtd>
|
|
<mtd>
|
|
<mo>=</mo>
|
|
</mtd>
|
|
<mtd>
|
|
<mn>1</mn>
|
|
</mtd>
|
|
</mtr>
|
|
<mtr>
|
|
<mtd>
|
|
<msub>
|
|
<mi>p</mi>
|
|
<mi>n</mi>
|
|
</msub>
|
|
</mtd>
|
|
<mtd>
|
|
<mo>=</mo>
|
|
</mtd>
|
|
<mtd>
|
|
<mfrac>
|
|
<mrow>
|
|
<mfenced>
|
|
<mrow>
|
|
<mi>b</mi>
|
|
<mo>−</mo>
|
|
<mn>1</mn>
|
|
</mrow>
|
|
</mfenced>
|
|
</mrow>
|
|
<mrow>
|
|
<mfenced>
|
|
<mrow>
|
|
<mn>2</mn>
|
|
<mi>n</mi>
|
|
<mo>−</mo>
|
|
<mn>1</mn>
|
|
</mrow>
|
|
</mfenced>
|
|
<mo>!</mo>
|
|
</mrow>
|
|
</mfrac>
|
|
<mo>+</mo>
|
|
<mfrac>
|
|
<mn>1</mn>
|
|
<mi>n</mi>
|
|
</mfrac>
|
|
<munderover>
|
|
<mo>∑</mo>
|
|
<mrow>
|
|
<mi>m</mi>
|
|
<mo>=</mo>
|
|
<mn>1</mn>
|
|
</mrow>
|
|
<mrow>
|
|
<mi>n</mi>
|
|
<mo>−</mo>
|
|
<mn>1</mn>
|
|
</mrow>
|
|
</munderover>
|
|
<mfrac>
|
|
<mfenced>
|
|
<mrow>
|
|
<mi>m</mi>
|
|
<mi>b</mi>
|
|
<mo>−</mo>
|
|
<mi>n</mi>
|
|
</mrow>
|
|
</mfenced>
|
|
<mrow>
|
|
<mfenced>
|
|
<mrow>
|
|
<mn>2</mn>
|
|
<mi>m</mi>
|
|
<mo>+</mo>
|
|
<mn>1</mn>
|
|
</mrow>
|
|
</mfenced>
|
|
<mo>!</mo>
|
|
</mrow>
|
|
</mfrac>
|
|
<msub>
|
|
<mi>p</mi>
|
|
<mrow>
|
|
<mi>n</mi>
|
|
<mo>−</mo>
|
|
<mi>m</mi>
|
|
</mrow>
|
|
</msub>
|
|
</mtd>
|
|
</mtr>
|
|
</mtable>
|
|
</mrow>
|
|
</math></body>
|
|
</html> |