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antisymmetric

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The Free On-line Dictionary of Computing (foldoc)

A {relation} R is antisymmetric if,

for all x and y, x R y and y R x => x == y.

I.e. no two different elements are mutually related.

{Partial orders} and {total orders} are antisymmetric. If R
is also {symmetric}, i.e.

x R y => y R x

then

x R y => x == y

I.e. different elements are not related.

(1995-04-18)

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英文字典中文字典相關資料:

Antisymmetric relation - Wikipedia
Typically, some people pay their own bills, while others pay for their spouses or friends As long as no two people pay each other's bills, the relation is antisymmetric
Antisymmetric Relation - GeeksforGeeks
Antisymmetric Relation is a type of binary relation on a set where any two distinct elements related to each other in one direction cannot be related in the opposite direction For example, consider the relation "less than or equal to" (≤) on the set of integers
ANTISYMMETRIC Definition Meaning - Merriam-Webster
The meaning of ANTISYMMETRIC is relating to or being a relation (such as 'is a subset of') that implies equality of any two quantities for which it holds in both directions
Antisymmetric Relation Definition - BYJUS
In discrete Maths, a relation is said to be antisymmetric relation for a binary relation R on a set A, if there is no pair of distinct or dissimilar elements of A, each of which is related by R to the other
Antisymmetric - Wikipedia
In mathematics, especially linear algebra, and in theoretical physics, the adjective antisymmetric (or skew-symmetric) is used for matrices, tensors, and other objects that change sign if an appropriate operation (e g matrix transposition) is performed
Antisymmetric Relation Definition Examples - Vedantu
An antisymmetric relation is a special type of mathematical relation defined on a set Formally, a relation R on a set A is called antisymmetric if, for all a, b ∈ A, whenever both (a, b) and (b, a) belong to R, then necessarily a = b
Antisymmetric relation - Cuemath
Let us now understand the meaning of antisymmetric relations A relation R on a set A is said to be antisymmetric if there does not exist any pair of distinct elements of A which are related to each other by R
Check Anti-Symmetric Relation on a Set - GeeksforGeeks
Your All-in-One Learning Portal: GeeksforGeeks is a comprehensive educational platform that empowers learners across domains-spanning computer science and programming, school education, upskilling, commerce, software tools, competitive exams, and more
Antisymmetric Relation - from Wolfram MathWorld
A relation R on a set S is antisymmetric provided that distinct elements are never both related to one another In other words xRy and yRx together imply that x=y
Antisymmetric Relations Explained - numberanalytics. com
Explore the concept of antisymmetric relations, their significance in mathematics, and their real-world applications

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