Jacobian elliptic function

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Jacobian elliptic function [jə′kō·bē·ən ə¦lip·tik ′fəŋk·shən]

(mathematics)

Forma real number between 0 and 1, andua real number, let φ be that number such thatthe 12 Jacobian elliptic functions ofuwith parametermare sn (u|m) = sin φ, cn (u|m) = cos φ, dn (u|m) = (1-msin²φ)^1/2, the reciprocals of these three functions, and the quotients of any two of them.

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No references found			Reduction of the doubly periodic Weierstrass function p to a set of single periodic Jacobian elliptic functions is based on the following relationship between p and cn, sn with modulus M: [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] Moreover, (cf. Nonlinear waves in dissipative microstructured two-dimensional ... by Casasso, Alessia; Pastrone, Franco; Samsonov, Alexander M. / Proceedings of the Estonian Academy of Science Physics/Mathematics			Jacob, François Jacob, Max Jacobean Jacobean age Jacobean architecture Jacobean literature Jacobean style Jacobethan Revival Jacobethan style Jacobi Jacobi canonical matrix Jacobi condition Jacobi ellipsoid Jacobi Polynomials Jacobi Symbol Jacobi's method Jacobi's theorem Jacobi's transformations Jacobi, Abraham Jacobi, Carl Gustav Jacob Jacobi, Friedrich Heinrich Jacobi, Karl Gustav Jakob Jacobi, Mary Corinna Putnam Jacobian Jacobian determinant Jacobian elliptic function Jacobian matrix Jacobin Club Jacobin Dictatorship Jacobine Camilla Collet Jacobins Jacobins, Russian Jacobite Jacobite Church Jacobites Jacobowsky and the Colonel Jacobs taper Jacobs, Harriet Ann Jacobs, Helen Hull Jacobs, Jane Jacobs, Joseph Jacobs, Marion Walter Jacobs, William Wymark Jacobsburg Environmental Education Center Jacobsen Jacobsen, Alfred Jacobsen, Arne Jacobsen, Jens Peter Jacobshavn Glacier jacobsite Jacobson radical			Jacobi method Jacobi polynomial Jacobi polynomials Jacobi symbol Jacobi theorem Jacobi theta function Jacobi theta function Jacobi theta functions Jacobi theta functions Jacobi's elliptic functions Jacobi's method Jacobi's theorem Jacobi's transformations Jacobi, Abraham Jacobi, Carl Gustav Jacob Jacobi, Friedrich Heinrich Jacobi, Karl Gustav Jacob Jacobi, Karl Gustav Jacob Jacobi, Karl Gustav Jacob Jacobi, Karl Gustav Jakob Jacobi, Mary Corinna Putnam Jacobi-Anger identity Jacobian Jacobian Jacobian (mathematics) Jacobian (mathematics) Jacobian Calendar Jacobian Calendar Jacobian determinant Jacobian determinant Jacobian elliptic function Jacobian Free Newton Krylov Jacobian matrix Jacobian matrix Jacobian Overrelaxation Iterative Method Jacobians Jacobians Jacobin Jacobin Jacobin (Jacobin Club) Jacobin (politics) Jacobin Club Jacobin clubs Jacobin democracy Jacobin Dictatorship Jacobine Jacobine Jacobine Camilla Collet Jacobinic Jacobinical Jacobinism Jacobinize Jacobins Jacobins Jacobins in Poland Jacobins, Russian Jacobite Jacobite Jacobite (disambiguation) Jacobite (disambiguation) Jacobite (Jacobitism)

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