spherical_3.mml 2.1 KB

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  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>spherical_3</title>
  7. <!-- MathML created with MathCast Equation Editor version 0.88 -->
  8. </head>
  9. <body>
  10. <math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
  11. <mrow>
  12. <mtext>sph_legendre</mtext>
  13. <mfenced>
  14. <mrow>
  15. <mi>l</mi>
  16. <mo>,</mo>
  17. <mi>m</mi>
  18. <mo>,</mo>
  19. <mi>&#x03B8;</mi>
  20. </mrow>
  21. </mfenced>
  22. <mspace width="1em"/>
  23. <mo>=</mo>
  24. <mspace width="1em"/>
  25. <msubsup>
  26. <mi>Y</mi>
  27. <mrow>
  28. <mi>l</mi>
  29. </mrow>
  30. <mi>m</mi>
  31. </msubsup>
  32. <mfenced>
  33. <mrow>
  34. <mi>&#x03B8;</mi>
  35. <mo>,</mo>
  36. <mn>0</mn>
  37. </mrow>
  38. </mfenced>
  39. <mspace width="1em"/>
  40. <mo>=</mo>
  41. <mspace width="1em"/>
  42. <msup>
  43. <mfenced>
  44. <mrow>
  45. <mo>&#x2212;</mo>
  46. <mn>1</mn>
  47. </mrow>
  48. </mfenced>
  49. <mi>m</mi>
  50. </msup>
  51. <msqrt>
  52. <mrow>
  53. <mfrac>
  54. <mrow>
  55. <mn>2</mn>
  56. <mi>l</mi>
  57. <mo>+</mo>
  58. <mn>1</mn>
  59. </mrow>
  60. <mrow>
  61. <mn>4</mn>
  62. <mi>&#x03C0;</mi>
  63. </mrow>
  64. </mfrac>
  65. <mfrac>
  66. <mrow>
  67. <mfenced>
  68. <mrow>
  69. <mi>l</mi>
  70. <mo>&#x2212;</mo>
  71. <mi>m</mi>
  72. </mrow>
  73. </mfenced>
  74. <mo>!</mo>
  75. </mrow>
  76. <mrow>
  77. <mfenced>
  78. <mrow>
  79. <mi>l</mi>
  80. <mo>+</mo>
  81. <mi>m</mi>
  82. </mrow>
  83. </mfenced>
  84. <mo>!</mo>
  85. </mrow>
  86. </mfrac>
  87. </mrow>
  88. </msqrt>
  89. <msubsup>
  90. <mi>P</mi>
  91. <mrow>
  92. <mi>l</mi>
  93. </mrow>
  94. <mi>m</mi>
  95. </msubsup>
  96. <mfenced>
  97. <mrow>
  98. <mi>cos</mi>
  99. <mi>&#x03B8;</mi>
  100. </mrow>
  101. </mfenced>
  102. </mrow>
  103. </math>
  104. </body>
  105. </html>