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Fix my mistakes in descriptions of core algebraic structures

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Iaroslav Postovalov 2021-02-13 21:05:01 +07:00
parent 5589dc0ce1
commit acfff40d96
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1 changed files with 9 additions and 9 deletions
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18
kmath-core/src/commonMain/kotlin/kscience/kmath/operations/Algebra.kt
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@ -95,8 +95,8 @@ public interface Algebra<T> {
public inline operator fun <A : Algebra<*>, R> A.invoke(block: A.() -> R): R = run(block)
/**
* Represents "semispace", i.e. algebraic structure with associative binary operation called "addition" as well as
* multiplication by scalars.
* Represents linear space without neutral element, i.e. algebraic structure with associative, binary operation [add]
* and scalar multiplication [multiply].
*
* @param T the type of element of this semispace.
*/
@ -208,10 +208,10 @@ public interface SpaceOperations<T> : Algebra<T> {
}
/**
* Represents linear space, i.e. algebraic structure with associative binary operation called "addition" and its neutral
* element as well as multiplication by scalars.
* Represents linear space with neutral element, i.e. algebraic structure with associative, binary operation [add] and
* scalar multiplication [multiply].
*
* @param T the type of element of this group.
* @param T the type of element of this semispace.
*/
public interface Space<T> : SpaceOperations<T> {
/**
@ -221,8 +221,8 @@ public interface Space<T> : SpaceOperations<T> {
}
/**
* Represents semiring, i.e. algebraic structure with two associative binary operations called "addition" and
* "multiplication".
* Represents rng, i.e. algebraic structure with associative, binary, commutative operation [add] and associative,
* operation [multiply] distributive over [add].
*
* @param T the type of element of this semiring.
*/
@ -270,8 +270,8 @@ public interface Ring<T> : Space<T>, RingOperations<T> {
}
/**
* Represents semifield, i.e. algebraic structure with three operations: associative "addition" and "multiplication",
* and "division".
* Represents field without identity elements, i.e. algebraic structure with associative, binary, commutative operations
* [add] and [multiply]; binary operation [divide] as multiplication of left operand by reciprocal of right one.
*
* @param T the type of element of this semifield.
*/