Examples of using Elliptic functions in English and their translations into Portuguese
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Integral equation==The Weierstrass elliptic function can be given as the inverse of an elliptic integral.
He is also known for developing several mathematical tables such as Jacobian Elliptic Function Tables.
define the field C("x") of rational functions in C. If"y"2"x"3-"x"- 1, then the field C("x","y") is an elliptic function field.
Definition==Formally, an elliptic function is a function formula_1 meromorphic on formula_2 for which there exist two non-zero complex numbers formula_3
In terms of the two periods, Weierstrass's elliptic function is an elliptic function with periods ω1
The objective of this dissertation is to present the jacobi's elliptic functions.
The same remark applies to elliptic curves and elliptic functions; and in fact to curves of genus> 1 and automorphic functions. .
Abel's work on elliptic functions was built on Legendre's
who made fundamental contributions to elliptic functions, dynamics, differential equations,
Legendre did an impressive amount of work on elliptic functions, including the classification of elliptic integrals,
With respect to one of the complex variables(conventionally called z), a theta function has a property expressing its behavior with respect to the addition of a period of the associated elliptic functions, making it a quasiperiodic function. .
by using modular functions and elliptic functions chosen with a particular period lattice related to the field in question.
We approach the de nitions and properties about jacobi s elliptic functions, and also the circular and hyperbolic functions,
Further development of the theory of elliptic functions shows that the condition on Weierstrass's function is determined up to addition of a constant
Abel's work on elliptic functions was built on Legendre's;
Historically, elliptic functions were first discovered by Niels Henrik Abel as inverse functions of elliptic integrals,
of modular functions j and elliptic functions℘, and roots of unity,
Ihara received his PhD at the University of Tokyo in 1967 with thesis Hecke polynomials as congruence zeta functions in elliptic modular case.
two-volume monographs on elliptic modular functions and automorphic functions. .
Well I was at this conference on L functions and elliptic curves and it was kind of a standard conference