GroupOperations

interface GroupOperations<T> : Algebra<T>

Represents linear space without neutral element, i.e. algebraic structure with associative, binary operation add and scalar multiplication multiply.

Parameters

the type of element of this semispace.

Types

Companion

common

object Companion

Functions

add

common

abstract fun add(a: T, b: T): T

Addition of two elements.

binaryOperation

common

open fun binaryOperation(operation: String, left: T, right: T): T

Dynamically invokes a binary operation with the certain name.

binaryOperationFunction

common

open override fun binaryOperationFunction(operation: String): (T, T) -> T

Dynamically dispatches a binary operation with the certain name.

bindSymbol

common

open fun bindSymbol(value: String): T

Wraps a raw string to T object.

equals

common

open operator fun equals(other: Any?): Boolean

hashCode

common

open fun hashCode(): Int

minus

common

open operator fun T.minus(b: T): T

Subtraction of two elements.

plus

common

open operator fun T.plus(b: T): T

Addition of two elements.

toString

common

open fun toString(): String

unaryMinus

common

abstract operator fun T.unaryMinus(): T

The negation of this element.

unaryOperation

common

open fun unaryOperation(operation: String, arg: T): T

Dynamically invokes an unary operation with the certain name.

unaryOperationFunction

common

open override fun unaryOperationFunction(operation: String): (T) -> T

Dynamically dispatches an unary operation with the certain name.

unaryPlus

common

open operator fun T.unaryPlus(): T

Returns this value.

Inheritors

Group

RingOperations