Package

axle

algebra

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package algebra

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  1. trait Aggregatable[F, A, B] extends AnyRef

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    @implicitNotFound( ... )

  2. type AggregatableK1[M[_], A, B] = Aggregatable[M[A], A, B]

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  3. trait Applicative[F[_]] extends AnyRef

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  4. trait ArrayFrom[C, A] extends AnyRef

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    @implicitNotFound( ... )

  5. trait Bijection[A, B] extends (A) ⇒ B

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    @implicitNotFound( ... )

  6. case class BijectiveIdentity[N]() extends Bijection[N, N] with Product with Serializable

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  7. trait DirectedGraph[DG, V, E] extends AnyRef

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    @implicitNotFound( ... )

  8. case class DistanceMatrix[T, F, M](vectors: F)(implicit space: MetricSpace[T, Double], la: LinearAlgebra[M, Int, Int, Double], index: Indexed[F, Int, T], finite: Finite[F, Int]) extends Product with Serializable

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  9. trait Endofunctor[E, T] extends AnyRef

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    @implicitNotFound( ... )

  10. trait Finite[C, S] extends AnyRef

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    @implicitNotFound( ... )

  11. type FiniteK1[M[_], N, I] = Finite[M[N], I]

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  12. trait FoldLeft[F[_]] extends AnyRef

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  13. trait FromStream[S, A] extends AnyRef

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  14. trait FunctionPair[A, B] extends AnyRef

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    A FunctionPair is not necessarily a bijection, but it could be.

    A FunctionPair is not necessarily a bijection, but it could be.

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  15. trait Functor[F, A, B, G] extends AnyRef

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    @implicitNotFound( ... )

  16. type FunctorK1[M[_], A, B] = Functor[M[A], A, B, M[B]]

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  17. case class GeoCoordinates[N](latitude: UnittedQuantity[Angle, N], longitude: UnittedQuantity[Angle, N]) extends Product with Serializable

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  18. trait Indexed[C, I, A] extends AnyRef

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  19. type IndexedK1[M[_], I, N] = Indexed[M[N], I, N]

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  20. trait LengthSpace[V, R] extends MetricSpace[V, R]

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    http://en.wikipedia.org/wiki/Intrinsic_metric

    http://en.wikipedia.org/wiki/Intrinsic_metric

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  21. trait LinearAlgebra[M, R, C, T] extends AnyRef

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  22. trait MapFrom[C, K, V] extends AnyRef

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  23. trait MapReducible[M, A, B, K, G] extends AnyRef

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    @implicitNotFound( ... )

  24. trait Monad[M[_]] extends AnyRef

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    @implicitNotFound( "Witness not found for Monad[${M}]" )

  25. trait Plottable[T] extends AnyRef

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  26. trait Position3D[X, Y, Z, P] extends AnyRef

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  27. trait Position3DSpace[N, P] extends Position3D[UnittedQuantity[Distance, N], UnittedQuantity[Distance, N], UnittedQuantity[Distance, N], P]

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  28. trait Reducible[R, A] extends AnyRef

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  29. case class Scale[N, M](factor: M)(implicit evidence$1: Field[M], module: Module[N, M]) extends Bijection[N, N] with Product with Serializable

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  30. case class Scale10s[N](exp: Int)(implicit evidence$2: Field[N]) extends Bijection[N, N] with Product with Serializable

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  31. case class Scale2s[N](exp: Int)(implicit evidence$3: Field[N]) extends Bijection[N, N] with Product with Serializable

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  32. trait SetFrom[C, A] extends AnyRef

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  33. case class SphericalVector[N](ρ: UnittedQuantity[Distance, N], θ: UnittedQuantity[Angle, N], φ: UnittedQuantity[Angle, N]) extends Product with Serializable

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    Uses the physics conventions instead of mathematical conventions.

    Uses the physics conventions instead of mathematical conventions.

    http://en.wikipedia.org/wiki/Spherical_coordinate_system

  34. trait Talliable[F, A, N] extends AnyRef

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  35. trait Tics[T] extends AnyRef

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    @implicitNotFound( "Witness not found for Tics[${T}]" )

  36. case class Transform[N](t: N)(implicit group: AbGroup[N]) extends Bijection[N, N] with Product with Serializable

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  37. trait UndirectedGraph[UG, V, E] extends AnyRef

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    @implicitNotFound( ... )

  38. trait Vec[V[_]] extends AnyRef

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    Vec is the Vector typeclass

    Vec is the Vector typeclass

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    @implicitNotFound( "Witness not found for Vec[${V}]" )

  39. trait Zero[T] extends AnyRef

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    Zero

    Zero

    ∅

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    @implicitNotFound( "Witness not found for Zero[${T}]" )

  40. trait Zipper[X, A, Y, B, Z] extends AnyRef

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  41. type ZipperK1[M[_], A, B] = Zipper[M[A], A, M[B], B, M[(A, B)]]

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Value Members

  1. object Aggregatable

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  2. object Applicative

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  3. object ArrayFrom

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  4. object Bijection

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  5. object DirectedGraph

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  6. object Endofunctor

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  7. object Finite

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  8. object FoldLeft

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  9. object FromStream

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  10. object FunctionPair

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  11. object Functor

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  12. object GeoCoordinates extends Serializable

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  13. object Indexed

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  14. object LengthSpace

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  15. object LinearAlgebra

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  16. object MapFrom

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  17. object MapReducible

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  18. object Monad

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  19. object Plottable

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  20. object Reducible

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  21. object Semigroups

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  22. object SetFrom

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  23. object Talliable

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  24. object Tics

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  25. object UndirectedGraph

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  26. object Vec

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  27. object Zero

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  28. object Zipper

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  29. def argmax[R, K, N, S](ks: R, f: (K) ⇒ N)(implicit arg0: Order[N], functorRknS: Functor[R, K, (K, N), S], redicibleS: Reducible[S, (K, N)]): Option[K]

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  30. implicit val doubleDoubleMetricSpace: MetricSpace[Double, Double]

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  31. def harmonicMean[A, F](xs: F)(implicit field: Field[A], functorFaaF: Functor[F, A, A, F], agg: Aggregatable[F, A, A], fin: Finite[F, A]): A

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  32. package laws

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  33. def mean[A, F](fa: F)(implicit ev: Field[A], agg: Aggregatable[F, A, A], fin: Finite[F, A]): A

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  34. object modules

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  35. def product[A, F](fa: F)(implicit ev: MultiplicativeMonoid[A], agg: Aggregatable[F, A, A]): A

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  36. implicit val rationalDoubleMetricSpace: MetricSpace[Rational, Double]

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  37. implicit val realDoubleMetricSpace: MetricSpace[Real, Double]

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  38. def sum[A, F](fa: F)(implicit ev: AdditiveMonoid[A], agg: Aggregatable[F, A, A]): A

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  39. implicit def wrappedStringSpace[N](implicit iscSpace: MetricSpace[IndexedSeq[Char], N]): MetricSpace[String, N]

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  40. def Π[A, F](fa: F)(implicit ev: MultiplicativeMonoid[A], agg: Aggregatable[F, A, A]): A

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  41. def Σ[A, F](fa: F)(implicit ev: AdditiveMonoid[A], agg: Aggregatable[F, A, A]): A

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