hyperelliptic field - translation to russian
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  3. hyperelliptic field

hyperelliptic field - translation to russian

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 field      

математика

гиперэллиптическое поле

algebraic field         
  • '''Z'''/12'''Z'''}} is not a field because 12 is not a prime number.
  • The multiplication of complex numbers can be visualized geometrically by rotations and scalings.
  • genus]] two (two handles). The genus can be read off the field of meromorphic functions on the surface.
  • The sum of three points ''P'', ''Q'', and ''R'' on an elliptic curve ''E'' (red) is zero if there is a line (blue) passing through these points.
  • Each bounded real set has a least upper bound.
  • The fifth roots of unity form a [[regular pentagon]].
COMMUTATIVE RING IN WHICH EVERY NONZERO ELEMENT IS INVERSIBLE
Field (algebra); Rational domain; Field theory (mathematics); Topological field; Mathematical field; Field mathematics; Field axioms; Field (math); Field (abstract algebra); Algebraic field; Field (maths); Field of characteristic zero

математика

алгебраическое поле

topological field         
  • '''Z'''/12'''Z'''}} is not a field because 12 is not a prime number.
  • The multiplication of complex numbers can be visualized geometrically by rotations and scalings.
  • genus]] two (two handles). The genus can be read off the field of meromorphic functions on the surface.
  • The sum of three points ''P'', ''Q'', and ''R'' on an elliptic curve ''E'' (red) is zero if there is a line (blue) passing through these points.
  • Each bounded real set has a least upper bound.
  • The fifth roots of unity form a [[regular pentagon]].
COMMUTATIVE RING IN WHICH EVERY NONZERO ELEMENT IS INVERSIBLE
Field (algebra); Rational domain; Field theory (mathematics); Topological field; Mathematical field; Field mathematics; Field axioms; Field (math); Field (abstract algebra); Algebraic field; Field (maths); Field of characteristic zero

математика

топологическое поле

Definition

грип
ГРИП, ГРИПП, гриппа, ·муж. (·франц. grippe) (мед.). Инфекционная болезнь - катарральное воспаление дыхательных путей, сопровождаемое лихорадочным состоянием; то же, что инфлуэнца
.
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Wikipedia

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.

https://en.wikipedia.org/wiki/Hyperelliptic curve
What is the Russian for hyperelliptic field? Translation of &#39hyperelliptic field&#39 to Russian
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