Trait

algebra.ring

FieldFunctions

Related Doc: package ring

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trait FieldFunctions[F[T] <: Field[T]] extends RingFunctions[F] with MultiplicativeGroupFunctions[F]

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Inherited
  1. FieldFunctions
  2. MultiplicativeGroupFunctions
  3. RingFunctions
  4. MultiplicativeMonoidFunctions
  5. MultiplicativeSemigroupFunctions
  6. AdditiveGroupFunctions
  7. AdditiveMonoidFunctions
  8. AdditiveSemigroupFunctions
  9. AnyRef
  10. Any
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  1. final def !=(arg0: Any): Boolean

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  2. final def ##(): Int

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  3. final def ==(arg0: Any): Boolean

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  4. final def asInstanceOf[T0]: T0

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  5. def clone(): AnyRef

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    protected[java.lang]
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    @throws( ... )
  6. final def defaultFromBigInt[A](n: BigInt)(implicit ev: F[A]): A

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    Definition Classes
    RingFunctions
  7. final def defaultFromDouble[A](a: Double)(implicit ringA: Ring[A], mgA: MultiplicativeGroup[A]): A

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    Returns the given Double, understood as a rational number, in the provided (division) ring.

    Returns the given Double, understood as a rational number, in the provided (division) ring.

    This is implemented in terms of basic ops. However, this is probably significantly less efficient than can be done with a specific type. So, it is recommended to specialize this general method.

    Definition Classes
    RingFunctions
  8. def div[A](x: A, y: A)(implicit ev: F[A]): A

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    Definition Classes
    MultiplicativeGroupFunctions
  9. final def eq(arg0: AnyRef): Boolean

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  10. def equals(arg0: Any): Boolean

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  11. def finalize(): Unit

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    protected[java.lang]
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    @throws( classOf[java.lang.Throwable] )
  12. def fromBigInt[A](n: BigInt)(implicit ev: F[A]): A

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    Definition Classes
    RingFunctions
  13. def fromDouble[A](n: Double)(implicit ev: F[A]): A

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  14. def fromInt[A](n: Int)(implicit ev: F[A]): A

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

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  16. def hashCode(): Int

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  17. def isAdditiveCommutative[A](implicit ev: F[A]): Boolean

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    Definition Classes
    AdditiveSemigroupFunctions
  18. final def isInstanceOf[T0]: Boolean

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    Definition Classes
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  19. def isMultiplicativeCommutative[A](implicit ev: F[A]): Boolean

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  20. def isOne[A](a: A)(implicit ev0: F[A], ev1: Eq[A]): Boolean

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  21. def isZero[A](a: A)(implicit ev0: F[A], ev1: Eq[A]): Boolean

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    Definition Classes
    AdditiveMonoidFunctions
  22. def minus[A](x: A, y: A)(implicit ev: F[A]): A

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    Definition Classes
    AdditiveGroupFunctions
  23. final def ne(arg0: AnyRef): Boolean

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    Definition Classes
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  24. def negate[A](x: A)(implicit ev: F[A]): A

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    Definition Classes
    AdditiveGroupFunctions
  25. final def notify(): Unit

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  26. final def notifyAll(): Unit

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    Definition Classes
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  27. def one[A](implicit ev: F[A]): A

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  28. def plus[A](x: A, y: A)(implicit ev: F[A]): A

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    Definition Classes
    AdditiveSemigroupFunctions
  29. def pow[A](a: A, n: Int)(implicit ev: F[A]): A

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  30. def product[A](as: TraversableOnce[A])(implicit ev: F[A]): A

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  31. def reciprocal[A](x: A)(implicit ev: F[A]): A

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    Definition Classes
    MultiplicativeGroupFunctions
  32. def sum[A](as: TraversableOnce[A])(implicit ev: F[A]): A

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    Definition Classes
    AdditiveMonoidFunctions
  33. def sumN[A](a: A, n: Int)(implicit ev: F[A]): A

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    Definition Classes
    AdditiveSemigroupFunctions
  34. final def synchronized[T0](arg0: ⇒ T0): T0

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    Definition Classes
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  35. def times[A](x: A, y: A)(implicit ev: F[A]): A

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  36. def toString(): String

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  37. def tryProduct[A](as: TraversableOnce[A])(implicit ev: F[A]): Option[A]

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  38. def trySum[A](as: TraversableOnce[A])(implicit ev: F[A]): Option[A]

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    Definition Classes
    AdditiveSemigroupFunctions
  39. final def wait(): Unit

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

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    @throws( ... )
  41. final def wait(arg0: Long): Unit

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    Definition Classes
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    @throws( ... )
  42. def zero[A](implicit ev: F[A]): A

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    Definition Classes
    AdditiveMonoidFunctions

Inherited from MultiplicativeGroupFunctions[F]

Inherited from RingFunctions[F]

Inherited from MultiplicativeMonoidFunctions[F]

Inherited from AdditiveGroupFunctions[F]

Inherited from AdditiveMonoidFunctions[F]

Inherited from AdditiveSemigroupFunctions[F]

Inherited from AnyRef

Inherited from Any

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