hyperelliptic function - определение. Что такое hyperelliptic function
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Что (кто) такое hyperelliptic function - определение

ALGEBRAIC CURVE THAT IS A RAMIFIED DOUBLE COVER OF THE PROJECTIVE LINE
Hyper-elliptic curve; Hyperelliptic function
  • Fig. 1: The graph of the hyperelliptic curve <math>C : y^2 = f(x)</math> where
<math display="block">f(x) = x^5 - 2x^4 - 7x^3 + 8x^2 + 12x = x (x + 1) (x - 3) (x + 2) (x - 2). </math>

Hyperelliptic curve         
In algebraic geometry, a hyperelliptic curve is an algebraic curve of genus g > 1, given by an equation of the form
Function (mathematics)         
  • A binary operation is a typical example of a bivariate function which assigns to each pair <math>(x, y)</math> the result <math>x\circ y</math>.
  • A function that associates any of the four colored shapes to its color.
  • Together, the two square roots of all nonnegative real numbers form a single smooth curve.
  • Graph of a linear function
  • The function mapping each year to its US motor vehicle death count, shown as a [[line chart]]
  • The same function, shown as a bar chart
  • Graph of a polynomial function, here a quadratic function.
  • Graph of two trigonometric functions: [[sine]] and [[cosine]].
  • right
ASSOCIATION OF A SINGLE OUTPUT TO EACH INPUT
Mathematical Function; Mathematical function; Function specification (mathematics); Mathematical functions; Empty function; Function (math); Ambiguous function; Function (set theory); Function (Mathematics); Functions (mathematics); Domain and range; Functional relationship; G(x); H(x); Function notation; Output (mathematics); Ƒ(x); Overriding (mathematics); Overriding union; F of x; Function of x; Bivariate function; Functional notation; Function of several variables; Y=f(x); ⁡; Draft:The Repeating Fractional Function; Image (set theory); Mutivariate function; Draft:Specifying a function; Function (maths); Functions (math); Functions (maths); F(x); Empty map; Function evaluation
In mathematics, a function from a set to a set assigns to each element of exactly one element of .; the words map, mapping, transformation, correspondence, and operator are often used synonymously.
Transfer function         
FUNCTION SPECIFYING THE BEHAVIOR OF A COMPONENT IN AN ELECTRONIC OR CONTROL SYSTEM
Transfer-function; Transfer Function; Natural response; Pulse-transfer function; Network function; Transfer curve; Transfer characteristic; System function
In engineering, a transfer function (also known as system functionBernd Girod, Rudolf Rabenstein, Alexander Stenger, Signals and systems, 2nd ed., Wiley, 2001, p.

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.