Trait

spire.math

PolynomialOverField

Related Doc: package math

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trait PolynomialOverField[C] extends PolynomialOverRing[C] with WithEuclideanAlgorithm[Polynomial[C]] with VectorSpace[Polynomial[C], C]

Self Type
PolynomialOverField[C]
Linear Supertypes
VectorSpace[Polynomial[C], C], WithEuclideanAlgorithm[Polynomial[C]], EuclideanRing[Polynomial[C]], GCDRing[Polynomial[C]], CommutativeRing[Polynomial[C]], CommutativeRng[Polynomial[C]], CommutativeRig[Polynomial[C]], MultiplicativeCommutativeMonoid[Polynomial[C]], CommutativeSemiring[Polynomial[C]], MultiplicativeCommutativeSemigroup[Polynomial[C]], PolynomialOverRing[C], Ring[Polynomial[C]], Rig[Polynomial[C]], MultiplicativeMonoid[Polynomial[C]], PolynomialOverRng[C], RingAlgebra[Polynomial[C], C], Rng[Polynomial[C]], Module[Polynomial[C], C], AdditiveCommutativeGroup[Polynomial[C]], AdditiveGroup[Polynomial[C]], PolynomialOverSemiring[C], Semiring[Polynomial[C]], MultiplicativeSemigroup[Polynomial[C]], AdditiveCommutativeMonoid[Polynomial[C]], AdditiveCommutativeSemigroup[Polynomial[C]], AdditiveMonoid[Polynomial[C]], AdditiveSemigroup[Polynomial[C]], Serializable, Serializable, AnyRef, Any
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  2. By Inheritance
Inherited
  1. PolynomialOverField
  2. VectorSpace
  3. WithEuclideanAlgorithm
  4. EuclideanRing
  5. GCDRing
  6. CommutativeRing
  7. CommutativeRng
  8. CommutativeRig
  9. MultiplicativeCommutativeMonoid
  10. CommutativeSemiring
  11. MultiplicativeCommutativeSemigroup
  12. PolynomialOverRing
  13. Ring
  14. Rig
  15. MultiplicativeMonoid
  16. PolynomialOverRng
  17. RingAlgebra
  18. Rng
  19. Module
  20. AdditiveCommutativeGroup
  21. AdditiveGroup
  22. PolynomialOverSemiring
  23. Semiring
  24. MultiplicativeSemigroup
  25. AdditiveCommutativeMonoid
  26. AdditiveCommutativeSemigroup
  27. AdditiveMonoid
  28. AdditiveSemigroup
  29. Serializable
  30. Serializable
  31. AnyRef
  32. Any
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Visibility
  1. Public
  2. All

Abstract Value Members

  1. implicit abstract def ct: ClassTag[C]

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    Definition Classes
    PolynomialOverSemiring

  2. implicit abstract def eq: Eq[C]

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    Definition Classes
    PolynomialOverSemiring

  3. implicit abstract val scalar: Field[C]

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    Definition Classes
    PolynomialOverField → VectorSpace → PolynomialOverRing → PolynomialOverRng → Module → PolynomialOverSemiring

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: CommutativeGroup[Polynomial[C]]

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    Definition Classes
    AdditiveCommutativeGroup → AdditiveCommutativeMonoid → AdditiveCommutativeSemigroup → AdditiveGroup → AdditiveMonoid → AdditiveSemigroup

  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. def divr(x: Polynomial[C], k: C): Polynomial[C]

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    Definition Classes
    PolynomialOverField → VectorSpace

  8. final def eq(arg0: AnyRef): Boolean

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    Definition Classes
    AnyRef

  9. def equals(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any

  10. def euclideanFunction(x: Polynomial[C]): BigInt

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    Definition Classes
    PolynomialOverField → EuclideanRing

  11. def finalize(): Unit

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )

  12. def fromBigInt(n: BigInt): Polynomial[C]

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    Definition Classes
    Ring

  13. def fromInt(n: Int): Polynomial[C]

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    Definition Classes
    Ring

  14. def gcd(a: Polynomial[C], b: Polynomial[C])(implicit ev: Eq[Polynomial[C]]): Polynomial[C]

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    Definition Classes
    WithEuclideanAlgorithm → GCDRing

  15. final def getClass(): Class[_]

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    Definition Classes
    AnyRef → Any

  16. def hashCode(): Int

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    Definition Classes
    AnyRef → Any

  17. final def isInstanceOf[T0]: Boolean

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    Definition Classes
    Any

  18. def isOne(a: Polynomial[C])(implicit ev: Eq[Polynomial[C]]): Boolean

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    Definition Classes
    MultiplicativeMonoid

  19. def isZero(a: Polynomial[C])(implicit ev: Eq[Polynomial[C]]): Boolean

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    Definition Classes
    AdditiveMonoid

  20. def lcm(a: Polynomial[C], b: Polynomial[C])(implicit ev: Eq[Polynomial[C]]): Polynomial[C]

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    Definition Classes
    WithEuclideanAlgorithm → GCDRing

  21. def minus(x: Polynomial[C], y: Polynomial[C]): Polynomial[C]

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    Definition Classes
    AdditiveGroup

  22. def mod(x: Polynomial[C], y: Polynomial[C]): Polynomial[C]

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    Definition Classes
    PolynomialOverField → EuclideanRing

  23. def multiplicative: CommutativeMonoid[Polynomial[C]]

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    Definition Classes
    MultiplicativeCommutativeMonoid → MultiplicativeCommutativeSemigroup → MultiplicativeMonoid → MultiplicativeSemigroup

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

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    Definition Classes
    AnyRef

  25. def negate(x: Polynomial[C]): Polynomial[C]

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    Definition Classes
    PolynomialOverRng → AdditiveGroup

  26. final def notify(): Unit

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    Definition Classes
    AnyRef

  27. final def notifyAll(): Unit

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    Definition Classes
    AnyRef

  28. def one: Polynomial[C]

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    Definition Classes
    PolynomialOverRing → MultiplicativeMonoid

  29. def plus(x: Polynomial[C], y: Polynomial[C]): Polynomial[C]

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    Definition Classes
    PolynomialOverSemiring → AdditiveSemigroup

  30. def positivePow(a: Polynomial[C], n: Int): Polynomial[C]

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    Attributes
    protected[this]
    Definition Classes
    MultiplicativeSemigroup

  31. def positiveSumN(a: Polynomial[C], n: Int): Polynomial[C]

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    Attributes
    protected[this]
    Definition Classes
    AdditiveSemigroup

  32. def pow(a: Polynomial[C], n: Int): Polynomial[C]

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    Definition Classes
    MultiplicativeMonoid → MultiplicativeSemigroup

  33. def product(as: TraversableOnce[Polynomial[C]]): Polynomial[C]

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    Definition Classes
    MultiplicativeMonoid

  34. def quot(x: Polynomial[C], y: Polynomial[C]): Polynomial[C]

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    Definition Classes
    PolynomialOverField → EuclideanRing

  35. def quotmod(x: Polynomial[C], y: Polynomial[C]): (Polynomial[C], Polynomial[C])

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    Definition Classes
    PolynomialOverField → EuclideanRing

  36. def sum(as: TraversableOnce[Polynomial[C]]): Polynomial[C]

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    Definition Classes
    AdditiveMonoid

  37. def sumN(a: Polynomial[C], n: Int): Polynomial[C]

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    Definition Classes
    AdditiveGroup → AdditiveMonoid → AdditiveSemigroup

  38. final def synchronized[T0](arg0: ⇒ T0): T0

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    Definition Classes
    AnyRef

  39. def times(x: Polynomial[C], y: Polynomial[C]): Polynomial[C]

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    Definition Classes
    PolynomialOverSemiring → MultiplicativeSemigroup

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

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    Definition Classes
    PolynomialOverRng → Module

  41. def timesr(v: Polynomial[C], r: C): Polynomial[C]

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    Definition Classes
    Module

  42. def toString(): String

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    Definition Classes
    AnyRef → Any

  43. def tryProduct(as: TraversableOnce[Polynomial[C]]): Option[Polynomial[C]]

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    Definition Classes
    MultiplicativeMonoid → MultiplicativeSemigroup

  44. def trySum(as: TraversableOnce[Polynomial[C]]): Option[Polynomial[C]]

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    Definition Classes
    AdditiveMonoid → AdditiveSemigroup

  45. final def wait(): Unit

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  46. final def wait(arg0: Long, arg1: Int): Unit

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  47. final def wait(arg0: Long): Unit

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  48. def zero: Polynomial[C]

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    Definition Classes
    PolynomialOverSemiring → AdditiveMonoid

Inherited from VectorSpace[Polynomial[C], C]

Inherited from WithEuclideanAlgorithm[Polynomial[C]]

Inherited from EuclideanRing[Polynomial[C]]

Inherited from GCDRing[Polynomial[C]]

Inherited from CommutativeRing[Polynomial[C]]

Inherited from CommutativeRng[Polynomial[C]]

Inherited from CommutativeRig[Polynomial[C]]

Inherited from MultiplicativeCommutativeMonoid[Polynomial[C]]

Inherited from CommutativeSemiring[Polynomial[C]]

Inherited from MultiplicativeCommutativeSemigroup[Polynomial[C]]

Inherited from PolynomialOverRing[C]

Inherited from Ring[Polynomial[C]]

Inherited from Rig[Polynomial[C]]

Inherited from MultiplicativeMonoid[Polynomial[C]]

Inherited from PolynomialOverRng[C]

Inherited from RingAlgebra[Polynomial[C], C]

Inherited from Rng[Polynomial[C]]

Inherited from Module[Polynomial[C], C]

Inherited from AdditiveCommutativeGroup[Polynomial[C]]

Inherited from AdditiveGroup[Polynomial[C]]

Inherited from PolynomialOverSemiring[C]

Inherited from Semiring[Polynomial[C]]

Inherited from MultiplicativeSemigroup[Polynomial[C]]

Inherited from AdditiveCommutativeMonoid[Polynomial[C]]

Inherited from AdditiveCommutativeSemigroup[Polynomial[C]]

Inherited from AdditiveMonoid[Polynomial[C]]

Inherited from AdditiveSemigroup[Polynomial[C]]

Inherited from Serializable

Inherited from Serializable

Inherited from AnyRef

Inherited from Any

Ungrouped