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Modular Angle

Given a elliptic modulus k in an elliptic integral, the modular angle alpha is defined by k=sinalpha. An elliptic integral is written I(phi|m) when the parameter m is used, I(phi,k) when the elliptic modulus is used, and I(phi\alpha) when the modular angle is used.

See also

Elliptic Characteristic, Elliptic Integral, Elliptic Modulus, Half-Period Ratio, Jacobi Amplitude, Nome, Parameter

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References

Abramowitz, M. and Stegun, I. A. (Eds.). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, pp. 589-590, 1972.

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Modular Angle

Cite this as:

Weisstein, Eric W. "Modular Angle." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ModularAngle.html

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