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>jacobi4</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 <mtable columnalign="right center left"> 13 <mtr> 14 <mtd> 15 <mi>s</mi> 16 <mi>n</mi> 17 <mfenced> 18 <mrow> 19 <mi>u</mi> 20 <mo>,</mo> 21 <mi>k</mi> 22 </mrow> 23 </mfenced> 24 </mtd> 25 <mtd> 26 <mo>≈</mo> 27 </mtd> 28 <mtd> 29 <mi>sin</mi> 30 <mfenced> 31 <mrow> 32 <mi>u</mi> 33 </mrow> 34 </mfenced> 35 <mo>−</mo> 36 <mfrac> 37 <mn>1</mn> 38 <mn>4</mn> 39 </mfrac> 40 <msup> 41 <mi>k</mi> 42 <mn>2</mn> 43 </msup> 44 <mfenced> 45 <mrow> 46 <mi>u</mi> 47 <mo>−</mo> 48 <mi>sin</mi> 49 <mfenced> 50 <mrow> 51 <mi>u</mi> 52 </mrow> 53 </mfenced> 54 <mi>cos</mi> 55 <mfenced> 56 <mrow> 57 <mi>u</mi> 58 </mrow> 59 </mfenced> 60 </mrow> 61 </mfenced> 62 <mi>cos</mi> 63 <mfenced> 64 <mrow> 65 <mi>u</mi> 66 </mrow> 67 </mfenced> 68 </mtd> 69 </mtr> 70 <mtr> 71 <mtd> 72 <mi>c</mi> 73 <mi>n</mi> 74 <mfenced> 75 <mrow> 76 <mi>u</mi> 77 <mo>,</mo> 78 <mi>k</mi> 79 </mrow> 80 </mfenced> 81 </mtd> 82 <mtd> 83 <mo>≈</mo> 84 </mtd> 85 <mtd> 86 <mi>cos</mi> 87 <mfenced> 88 <mrow> 89 <mi>u</mi> 90 </mrow> 91 </mfenced> 92 <mo>+</mo> 93 <mfrac> 94 <mn>1</mn> 95 <mn>4</mn> 96 </mfrac> 97 <msup> 98 <mi>k</mi> 99 <mn>2</mn> 100 </msup> 101 <mfenced> 102 <mrow> 103 <mi>u</mi> 104 <mo>−</mo> 105 <mi>sin</mi> 106 <mfenced> 107 <mrow> 108 <mi>u</mi> 109 </mrow> 110 </mfenced> 111 <mi>cos</mi> 112 <mfenced> 113 <mrow> 114 <mi>u</mi> 115 </mrow> 116 </mfenced> 117 </mrow> 118 </mfenced> 119 <mi>sin</mi> 120 <mfenced> 121 <mrow> 122 <mi>u</mi> 123 </mrow> 124 </mfenced> 125 </mtd> 126 </mtr> 127 <mtr> 128 <mtd> 129 <mi>d</mi> 130 <mi>n</mi> 131 <mfenced> 132 <mrow> 133 <mi>u</mi> 134 <mo>,</mo> 135 <mi>k</mi> 136 </mrow> 137 </mfenced> 138 </mtd> 139 <mtd> 140 <mo>≈</mo> 141 </mtd> 142 <mtd> 143 <mn>1</mn> 144 <mo>−</mo> 145 <mfrac> 146 <mn>1</mn> 147 <mn>2</mn> 148 </mfrac> 149 <msup> 150 <mi>k</mi> 151 <mn>2</mn> 152 </msup> 153 <mi>sin</mi> 154 <msup> 155 <mi/> 156 <mn>2</mn> 157 </msup> 158 <mfenced> 159 <mrow> 160 <mi>u</mi> 161 </mrow> 162 </mfenced> 163 </mtd> 164 </mtr> 165 </mtable> 166 </mrow> 167</math> 168</body> 169</html> 170 171