EllipticNomeQ
 Usage
• EllipticNomeQ[m] 用来给出椭圆函数中与参数 m 对应的 nome q .
Notes
• EllipticNomeQ通过  与 EllipticK相联系. • EllipticNomeQ[m] 在 m复平面上从  到  具有一条不连续分支线.
 Further Examples
Certain elliptic functions, such as the theta functions, traditionally use the nome  as their argument; others use the modulus  . EllipticNomeQ returns the nome corresponding to a given modulus. This is the definition:
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This is the derivative.
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As  approaches 1 from below along the real line,  approaches 1 very abruptly. In order to obtain meaningful values for the function in the neighborhood of 1, it is a good idea to use multiple precision. Evaluate the cell to see the graphic.
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There is a branch cut along the ray  . Evaluate the cell to see the graphic.
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This shows approximately the range of EllipticNomeQ inside the unit circle. Evaluate the cell to see the graphic.
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