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order of elliptic function

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  • Elliptic function — In complex analysis, an elliptic function is a function defined on the complex plane that is periodic in two directions (a doubly periodic function) and at the same time is meromorphic. Historically, elliptic functions were discovered as inverse… …   Wikipedia

  • Elliptic rational functions — In mathematics the elliptic rational functions are a sequence of rational functions with real coefficients. Elliptic rational functions are extensively used in the design of elliptic electronic filters. (These functions are sometimes called… …   Wikipedia

  • Elliptic curve cryptography — (ECC) is an approach to public key cryptography based on the algebraic structure of elliptic curves over finite fields. The use of elliptic curves in cryptography was suggested independently by Neal Koblitz[1] and Victor S. Miller[2] in 1985.… …   Wikipedia

  • Elliptic filter — An elliptic filter (also known as a Cauer filter, named after Wilhelm Cauer) is an electronic filter with equalized ripple (equiripple) behavior in both the passband and the stopband. The amount of ripple in each band is independently adjustable …   Wikipedia

  • Elliptic operator — In mathematics, an elliptic operator is one of the major types of differential operator. It can be defined on spaces of complex valued functions, or some more general function like objects. What is distinctive is that the coefficients of the… …   Wikipedia

  • Elliptic boundary value problem — In mathematics, an elliptic boundary value problem is a special kind of boundary value problem which can be thought of as the stable state of an evolution problem. For example, the Dirichlet problem for the Laplacian gives the eventual… …   Wikipedia

  • elliptic equation — ▪ mathematics       any of a class of partial differential equations (partial differential equation) describing phenomena that do not change from moment to moment, as when a flow of heat or fluid takes place within a medium with no accumulations …   Universalium

  • Weierstrass's elliptic functions — In mathematics, Weierstrass s elliptic functions are elliptic functions that take a particularly simple form; they are named for Karl Weierstrass. This class of functions are also referred to as p functions and generally written using the symbol… …   Wikipedia

  • Jacobi's elliptic functions — In mathematics, the Jacobi elliptic functions are a set of basic elliptic functions, and auxiliary theta functions, that have historical importance with also many features that show up important structure, and have direct relevance to some… …   Wikipedia

  • Doubly-periodic function — In mathematics, a doubly periodic function is a function f defined at all points z in a plane and having two periods , which are linearly independent vectors u and v such that:f(z) = f(z + u) = f(z + v).,The doubly periodic function is thus a two …   Wikipedia

  • Doubly periodic function — In mathematics, a doubly periodic function is a function defined at all points on the complex plane and having two periods , which are complex numbers u and v that are linearly independent as vectors over the field of real numbers. That u and v… …   Wikipedia

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