Trait

spire.math

PolynomialRing

Related Doc: package math

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trait PolynomialRing[C] extends PolynomialRng[C] with Ring[Polynomial[C]]

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Known Subclasses
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Inherited
  1. PolynomialRing
  2. Ring
  3. Rig
  4. MultiplicativeMonoid
  5. PolynomialRng
  6. RingAlgebra
  7. Rng
  8. Module
  9. AdditiveAbGroup
  10. AdditiveCMonoid
  11. AdditiveCSemigroup
  12. AdditiveGroup
  13. PolynomialSemiring
  14. Semiring
  15. MultiplicativeSemigroup
  16. AdditiveMonoid
  17. AdditiveSemigroup
  18. AnyRef
  19. Any
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Abstract Value Members

  1. implicit abstract def ct: ClassTag[C]

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    Definition Classes
    PolynomialSemiring
  2. implicit abstract def eq: Eq[C]

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    Definition Classes
    PolynomialSemiring
  3. implicit abstract val scalar: Ring[C]

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    Definition Classes
    PolynomialRingPolynomialRngModulePolynomialSemiring

Concrete Value Members

  1. final def !=(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any
  2. final def ##(): Int

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    Definition Classes
    AnyRef → Any
  3. final def ==(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any
  4. def additive: AbGroup[Polynomial[C]]

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  5. final def asInstanceOf[T0]: T0

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    Definition Classes
    Any
  6. def clone(): AnyRef

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  7. final def eq(arg0: AnyRef): Boolean

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    Definition Classes
    AnyRef
  8. def equals(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any
  9. def finalize(): Unit

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  10. def fromInt(n: Int): Polynomial[C]

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    Defined to be equivalent to additive.sumn(one, n).

    Defined to be equivalent to additive.sumn(one, n). That is, n repeated summations of this ring's one, or -one if n is negative.

    Definition Classes
    Ring
  11. final def getClass(): Class[_]

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    Definition Classes
    AnyRef → Any
  12. def hashCode(): Int

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    Definition Classes
    AnyRef → Any
  13. final def isInstanceOf[T0]: Boolean

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    Definition Classes
    Any
  14. def isOne(a: Polynomial[C])(implicit ev: Eq[Polynomial[C]]): Boolean

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    Definition Classes
    MultiplicativeMonoid
  15. def isZero(a: Polynomial[C])(implicit ev: Eq[Polynomial[C]]): Boolean

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    Tests if a is zero.

    Tests if a is zero.

    Definition Classes
    AdditiveMonoid
  16. def minus(x: Polynomial[C], y: Polynomial[C]): Polynomial[C]

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    Definition Classes
    AdditiveGroup
  17. def multiplicative: Monoid[Polynomial[C]]

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  18. final def ne(arg0: AnyRef): Boolean

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    Definition Classes
    AnyRef
  19. def negate(x: Polynomial[C]): Polynomial[C]

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    Definition Classes
    PolynomialRngAdditiveGroup
  20. final def notify(): Unit

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    Definition Classes
    AnyRef
  21. final def notifyAll(): Unit

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    Definition Classes
    AnyRef
  22. def one: Polynomial[C]

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    Definition Classes
    PolynomialRingMultiplicativeMonoid
  23. def plus(x: Polynomial[C], y: Polynomial[C]): Polynomial[C]

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    Definition Classes
    PolynomialSemiringAdditiveSemigroup
  24. def pow(a: Polynomial[C], n: Int): Polynomial[C]

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    This is similar to Semigroup#pow, except that a pow 0 is defined to be the multiplicative identity.

    This is similar to Semigroup#pow, except that a pow 0 is defined to be the multiplicative identity.

    Definition Classes
    RigSemiring
  25. def prod(as: TraversableOnce[Polynomial[C]]): Polynomial[C]

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    Given a sequence of as, sum them using the monoid and return the total.

    Given a sequence of as, sum them using the monoid and return the total.

    Definition Classes
    MultiplicativeMonoid
  26. def prodOption(as: TraversableOnce[Polynomial[C]]): Option[Polynomial[C]]

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    Given a sequence of as, sum them using the semigroup and return the total.

    Given a sequence of as, sum them using the semigroup and return the total.

    If the sequence is empty, returns None. Otherwise, returns Some(total).

    Definition Classes
    MultiplicativeSemigroup
  27. def prodn(a: Polynomial[C], n: Int): Polynomial[C]

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    Return a multiplied with itself n times.

    Return a multiplied with itself n times.

    Definition Classes
    MultiplicativeMonoidMultiplicativeSemigroup
  28. def prodnAboveOne(a: Polynomial[C], n: Int): Polynomial[C]

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    Attributes
    protected
    Definition Classes
    MultiplicativeSemigroup
  29. def sum(as: TraversableOnce[Polynomial[C]]): Polynomial[C]

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    Given a sequence of as, sum them using the monoid and return the total.

    Given a sequence of as, sum them using the monoid and return the total.

    Definition Classes
    AdditiveMonoid
  30. def sumOption(as: TraversableOnce[Polynomial[C]]): Option[Polynomial[C]]

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    Given a sequence of as, sum them using the semigroup and return the total.

    Given a sequence of as, sum them using the semigroup and return the total.

    If the sequence is empty, returns None. Otherwise, returns Some(total).

    Definition Classes
    AdditiveSemigroup
  31. def sumn(a: Polynomial[C], n: Int): Polynomial[C]

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    Return a added with itself n times.

    Return a added with itself n times.

    Definition Classes
    AdditiveGroupAdditiveMonoidAdditiveSemigroup
  32. def sumnAboveOne(a: Polynomial[C], n: Int): Polynomial[C]

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    Attributes
    protected
    Definition Classes
    AdditiveSemigroup
  33. final def synchronized[T0](arg0: ⇒ T0): T0

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    Definition Classes
    AnyRef
  34. def times(x: Polynomial[C], y: Polynomial[C]): Polynomial[C]

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  35. def timesl(r: C, v: Polynomial[C]): Polynomial[C]

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    Definition Classes
    PolynomialRngModule
  36. def timesr(v: Polynomial[C], r: C): Polynomial[C]

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    Definition Classes
    Module
  37. def toString(): String

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    Definition Classes
    AnyRef → Any
  38. final def wait(): Unit

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  39. final def wait(arg0: Long, arg1: Int): Unit

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  40. final def wait(arg0: Long): Unit

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  41. def zero: Polynomial[C]

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    Definition Classes
    PolynomialSemiringAdditiveMonoid

Inherited from Ring[Polynomial[C]]

Inherited from Rig[Polynomial[C]]

Inherited from MultiplicativeMonoid[Polynomial[C]]

Inherited from PolynomialRng[C]

Inherited from RingAlgebra[Polynomial[C], C]

Inherited from Rng[Polynomial[C]]

Inherited from Module[Polynomial[C], C]

Inherited from AdditiveAbGroup[Polynomial[C]]

Inherited from AdditiveCMonoid[Polynomial[C]]

Inherited from AdditiveCSemigroup[Polynomial[C]]

Inherited from AdditiveGroup[Polynomial[C]]

Inherited from PolynomialSemiring[C]

Inherited from Semiring[Polynomial[C]]

Inherited from MultiplicativeSemigroup[Polynomial[C]]

Inherited from AdditiveMonoid[Polynomial[C]]

Inherited from AdditiveSemigroup[Polynomial[C]]

Inherited from AnyRef

Inherited from Any

Ungrouped