Elliptic Integral of the 1st kind (Not in Base Package)
Computes the Legendre elliptic integral of the first kind. You must manually select the polymorphic instance you want to use.
Use the pull-down menu to select an instance of this VI.
Complete Elliptic Integral K
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k is the modulus argument. k is a real number between 0 and 1. |
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K(k) is the value of the complete elliptic integral of the first kind. |
Incomplete Elliptic Integral F
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k is the modulus argument. k is a real number between 0 and 1. |
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a is the amplitude of the function, which is the upper limit of the integral. The default value is  /2.
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F(k, a) is the value of the incomplete elliptic integral of the first kind. |
Elliptic Integral of the 1st kind Details
Complete Elliptic Integral K
The following equation defines the complete elliptic integral of the first kind.
where k is the modulus.
Incomplete Elliptic Integral F
The following equation defines the incomplete elliptic integral of the first kind.
where k is the modulus and a is the upper limit, or amplitude, of the integral.
The following intervals for the input values define the function.
LabVIEW supports the entire domain of this function that produces real-valued results. For a real value of upper limit a, the function is defined for all real values of k in the unit interval.
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