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JacobiAmplitude

Usage

JacobiAmplitude[u, m] 给出Jacobi椭圆函数的幅值


Notes

• 数学函数(参见 节 A.3.10).
JacobiAmplitude[u, m] 转换一个椭圆函数的自变量  成幅值
JacobiAmplitude 是第一类型的椭圆积分的逆。如果 , 则  .
• 参见 Mathematica 全书: 3.2.11 and 节 3.2.11.
Further Examples

When the modulus  is a real number in the interval  , JacobiAmplitude is inverse to EllipticF (both being considered as functions of the first argument).

In[1]:=  

Out[1]=

This is the derivative.

In[2]:=  

Out[2]=

This is a series expansion around  .

In[3]:=  

Out[3]=