Owning Palette: Elliptic Integrals VIs
Requires: Full Development System
Computes the Legendre elliptic integral of the second kind. You must manually select the polymorphic instance you want to use.
Use the pull-down menu to select an instance of this VI.
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k is the square of the elliptic modulus. k is a real number between 0 and 1. |
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E(k) is the value of the complete elliptic integral of the second kind. |
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k is the square of the elliptic modulus. 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 Pi/2. |
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E(k, a) is the value of the incomplete elliptic integral of the second kind. |
Complete Elliptic Integral E
The following equation defines the complete elliptic integral of the second kind.
where k is the square of the elliptic modulus.
Incomplete Elliptic Integral E
The following equation defines the incomplete elliptic integral of the second kind.
where k is the square of the elliptic 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 any real value of upper limit a, the function is defined for all real values of k in the unit interval.