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Что (кто) такое hyperelliptic functions - определение
ALGEBRAIC CURVE THAT IS A RAMIFIED DOUBLE COVER OF THE PROJECTIVE LINE
Hyper-elliptic curve; Hyperelliptic function
Hyperelliptic curve
In algebraic geometry, a hyperelliptic curve is an algebraic curve of genus g > 1, given by an equation of the form
Weierstrass elliptic function
CLASS OF MATHEMATICAL FUNCTIONS
Weierstrass elliptic functions; Modular discriminant; Weierstrass P function; ℘; Weierstraß ℘ function; Weierstrass P-function; Weierstrass p; Weierstrass' elliptic function; Weierstrass's elliptic function; Weierp; Weierstrass p function; Weierstraß p function; Weierstrass P; Weierstrass p-function; P-function; P-functions; Weierstrass's elliptic functions
In mathematics, the Weierstrass elliptic functions are elliptic functions that take a particularly simple form. They are named for Karl Weierstrass.
Even and odd functions
![The [[cosine function]] and all of its [[Taylor polynomials]] are even functions. This image shows <math>\cos(x)</math> and its Taylor approximation of degree 4.](https://commons.wikimedia.org/wiki/Special:FilePath/Développement limité du cosinus.svg?width=200 "The [[cosine function]] and all of its [[Taylor polynomials]] are even functions. This image shows <math>\cos(x)</math> and its Taylor approximation of degree 4.")
MATHEMATICAL FUNCTIONS
Odd function; Odd functions; Even function; Even functions; Even/odd function; Odd and even functions; Even–odd decomposition; Even part of a function; Odd part of a function; Even-odd decomposition
In mathematics, even functions and odd functions are functions which satisfy particular symmetry relations, with respect to taking additive inverses. They are important in many areas of mathematical analysis, especially the theory of power series and Fourier series.
Википедия
Hyperelliptic curve
In algebraic geometry, a hyperelliptic curve is an algebraic curve of genus g > 1, given by an equation of the form
where f(x) is a polynomial of degree n = 2g + 1 > 4 or n = 2g + 2 > 4 with n distinct roots, and h(x) is a polynomial of degree < g + 2 (if the characteristic of the ground field is not 2, one can take h(x) = 0).A hyperelliptic function is an element of the function field of such a curve, or of the Jacobian variety on the curve; these two concepts are identical for elliptic functions, but different for hyperelliptic functions.
