final case class Ideal[Term <: AMonomial[Term], Poly <: AMultivariatePolynomial[Term, Poly], E](ring: IMultivariateRing[Term, Poly, E], theIdeal: poly.multivar.Ideal[Term, Poly]) extends Product with Serializable

Ideal in multivariate polynomial ring

Linear Supertypes
Serializable, Serializable, Product, Equals, AnyRef, Any
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  1. Ideal
  2. Serializable
  3. Serializable
  4. Product
  5. Equals
  6. AnyRef
  7. Any
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Visibility
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Instance Constructors

  1. new Ideal(ring: IMultivariateRing[Term, Poly, E], theIdeal: poly.multivar.Ideal[Term, Poly])

Value Members

  1. final def !=(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  2. final def ##(): Int
    Definition Classes
    AnyRef → Any
  3. def *(oth: Poly): Ideal[Term, Poly, E]
  4. def *(oth: Ideal[Term, Poly, E]): Ideal[Term, Poly, E]
  5. def +(oth: Poly): Ideal[Term, Poly, E]
  6. def +(oth: Ideal[Term, Poly, E]): Ideal[Term, Poly, E]
  7. def :/(oth: Poly): Ideal[Term, Poly, E]
  8. def :/(oth: Ideal[Term, Poly, E]): Ideal[Term, Poly, E]
  9. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  10. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  11. def changeOrder(newOrder: Ordering): Ideal[Term, Poly, E]

    Set the monomial order used for Groebner basis of this ideal

  12. def clone(): AnyRef
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @HotSpotIntrinsicCandidate() @throws( ... )
  13. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  14. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
    Annotations
    @HotSpotIntrinsicCandidate()
  15. lazy val groebnerBasis: Seq[Poly]
  16. def intersection(oth: Ideal[Term, Poly, E]): Ideal[Term, Poly, E]

    Returns the intersection of this and oth

  17. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  18. lazy val ltIdeal: Ideal[Term, Poly, E]

    Ideal of leading terms

  19. def multiply(oth: Poly): Ideal[Term, Poly, E]

    Returns the product of this and oth

  20. def multiply(oth: Ideal[Term, Poly, E]): Ideal[Term, Poly, E]

    Returns the product of this and oth

  21. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  22. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @HotSpotIntrinsicCandidate()
  23. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @HotSpotIntrinsicCandidate()
  24. def pow(exponent: Integer): Ideal[Term, Poly, E]

    Returns this in a power of exponent

  25. def quotient(oth: Poly): Ideal[Term, Poly, E]

    Returns the quotient this : oth

  26. def quotient(oth: Ideal[Term, Poly, E]): Ideal[Term, Poly, E]

    Returns the quotient this : oth

  27. val ring: IMultivariateRing[Term, Poly, E]
  28. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  29. val theIdeal: poly.multivar.Ideal[Term, Poly]
  30. def toString(): String
    Definition Classes
    Ideal → AnyRef → Any
  31. def union(oth: Poly): Ideal[Term, Poly, E]

    Returns the union of this and oth

  32. def union(oth: Ideal[Term, Poly, E]): Ideal[Term, Poly, E]

    Returns the union of this and oth

  33. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  34. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  35. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  36. def ∩(oth: Ideal[Term, Poly, E]): Ideal[Term, Poly, E]
  37. def ∪(oth: Poly): Ideal[Term, Poly, E]
  38. def ∪(oth: Ideal[Term, Poly, E]): Ideal[Term, Poly, E]

Deprecated Value Members

  1. def finalize(): Unit
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @Deprecated @deprecated @throws( classOf[java.lang.Throwable] )
    Deprecated

    (Since version ) see corresponding Javadoc for more information.

Inherited from Serializable

Inherited from Serializable

Inherited from Product

Inherited from Equals

Inherited from AnyRef

Inherited from Any

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