Class Ideal

Representation of an ideal generated by a set of polynomials and basic operations with ideals

Hierarchy

Ideal

Index

Constructors

Properties

Methods

getGenerators intersect multiply implicitateR3

Constructors

constructor

new Ideal(generators: Polynomial[]): Ideal
Parameters
- generators: Polynomial[]
  
  Generators of the Ideal
Returns Ideal
- Defined in Ideal.ts:13

Properties

`Private` generators

generators: Polynomial[]

Methods

getGenerators

getGenerators(): Polynomial[]
Generators of the ideal

Returns Polynomial[]
- Defined in Ideal.ts:21

intersect

intersect(J: Ideal): Ideal
Intersection of ideals
Parameters
- J: Ideal
Returns Ideal
- Defined in Ideal.ts:37

multiply

multiply(p: Polynomial): Ideal
Product of this ideal with the polynomial p
Parameters
- p: Polynomial
Returns Ideal
- Defined in Ideal.ts:28

`Static` implicitateR3

implicitateR3(fx: Polynomial, fy: Polynomial, fz: Polynomial, qx: Polynomial, qy: Polynomial, qz: Polynomial, parameters?: string[]): Polynomial
Computes the implicit equation of a variety given the parametrizations of each variable in R3

Returns
Generator of the smallest variety containing the image of (fx/qx,fy/qy,fz/qz)
Parameters
- fx: Polynomial
  
  Numerator of the parametrization for x
- fy: Polynomial
  
  Numerator of the parametrization for y
- fz: Polynomial
  
  Numerator of the parametrization for z
- qx: Polynomial
  
  Denominator of the parametrization for x
- qy: Polynomial
  
  Denominator of the parametrization for y
- qz: Polynomial
  
  Denominator of the parametrization for z
- parameters: string[] = []
  
  Parameters of the parametric equations appart from the variables, if any
Returns Polynomial
- Defined in Ideal.ts:68

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