kone.algebraic/dev.lounres.kone.algebraic/Group

Group

interface Group<Number> : Monoid<Number> (source)

Describes a context that represents mathematical group.

Type Parameters

Number

The type of elements of the group.

Inheritors

CommutativeGroup

Types

object Companion

Properties

open val intTimesNumber: Times<Int, Number, Number>

The multiplication operation on an Int and a Number.

longTimesNumber

open val longTimesNumber: Times<Long, Number, Number>

The multiplication operation on an Long and a Number.

numberMinusNumber

abstract val numberMinusNumber: Minus<Number, Number, Number>

The subtraction operation on elements of type Number.

numberPlusNumber

abstract val numberPlusNumber: Plus<Number, Number, Number>

The associative binary addition operation on elements of type Number.

open val numberTimesInt: Times<Number, Int, Number>

The multiplication operation on a Number and an Int.

numberTimesLong

open val numberTimesLong: Times<Number, Long, Number>

The multiplication operation on a Number and an Long.

numberTimesUInt

open val numberTimesUInt: Times<Number, UInt, Number>

The multiplication operation on a Number and an UInt.

numberTimesULong

open val numberTimesULong: Times<Number, ULong, Number>

The multiplication operation on a Number and an ULong.

numberUnaryMinus

abstract val numberUnaryMinus: UnaryMinus<Number, Number>

The negation operation on a Number.

uIntTimesNumber

open val uIntTimesNumber: Times<UInt, Number, Number>

The multiplication operation on an UInt and a Number.

uLongTimesNumber

open val uLongTimesNumber: Times<ULong, Number, Number>

The multiplication operation on an ULong and a Number.

abstract val zero: Number

The neutral additive element (a.k.a. zero element) of the monoid.