ANTISYMMETRY Meaning and
Definition
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Antisymmetry is a concept used in various disciplines, including mathematics, logic, and computer science, to describe a particular relation or property between two objects or elements of a set. It refers to a situation where the presence of one element simultaneously implies the absence of the other element, and vice versa.
In mathematics and particularly in set theory, antisymmetry can be observed in a relation that is reflexive, transitive, and where distinct elements that are related in both directions are actually identical. More formally, for any elements x and y in a given set, if x is related to y and y is related to x, then it implies that x and y are, in fact, the same element.
In logic, antisymmetry is closely related to the concept of negation. It states that if a proposition P is true, then the negation of P (¬P) must be false, and if the negation of P is true, then P must be false. This is commonly represented symbolically as P ↔ ¬P.
In computer science and algorithms, antisymmetry is often utilized in sorting and comparison operations. When comparing two elements, if one element is greater or less than the other, but not both, this satisfies the principle of antisymmetry. This property is essential for efficient sorting algorithms and data structures.
Overall, antisymmetry represents a significant property that exists in different contexts, highlighting the reciprocal relationship between elements where the presence of one implies the absence of the other.
Common Misspellings for ANTISYMMETRY
- zntisymmetry
- sntisymmetry
- wntisymmetry
- qntisymmetry
- abtisymmetry
- amtisymmetry
- ajtisymmetry
- ahtisymmetry
- anrisymmetry
- anfisymmetry
- angisymmetry
- anyisymmetry
- an6isymmetry
- an5isymmetry
- antusymmetry
- antjsymmetry
- antksymmetry
- antosymmetry
- ant9symmetry
- ant8symmetry
Etymology of ANTISYMMETRY
The word "antisymmetry" is formed by combining the prefix "anti-" and the word "symmetry".
- The prefix "anti-" derives from the Greek word "anti", meaning "against" or "opposite". It often indicates opposition or negation.
- The word "symmetry" comes from the Greek word "summetria", meaning "together" or "measurement". It refers to the concept of balance, proportion, or similarity in form, arrangement, or measurements.
Hence, "antisymmetry" is a term that signifies the opposite or negation of symmetry.
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