Antisymmetric relation
In mathematics, a relation R on a set X is antisymmetric if there is no pair of distinct elements of X each of which is related by R to the other. More formally, R is antisymmetric precisely if for all a and b in X if R(a, b) with a ≠ b, then R(b, a) must not hold, or, equivalently, if R(a, b) and R(b, a), then a = b. (The definition of antisymmetry says nothing about whether R(a, a) actually holds or not for any a.)
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Antisymmetric relation
In mathematics, a relation R on a set X is antisymmetric if there is no pair of distinct elements of X each of which is related by R to the other. More formally, R is antisymmetric precisely if for all a and b in X if R(a, b) with a ≠ b, then R(b, a) must not hold, or, equivalently, if R(a, b) and R(b, a), then a = b. (The definition of antisymmetry says nothing about whether R(a, a) actually holds or not for any a.)
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A la matemàtica, una relació b ...... implicació contrària és falsa.
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Antisymetrická relace je matem ...... em slabé a silné antisymetrie.
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Antisymmetrisch heißt eine zwe ...... etzungen für eine Halbordnung.
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Em matemática, uma relação ant ...... étrica, mas o inverso é falso.
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En matematiko, duargumenta ril ...... kiel kontraŭrefleksiva rilato.
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En mathématiques, une relation ...... symétrique, ni antisymétrique.
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In mathematics, a relation R o ...... ually holds or not for any a.)
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Matematikan, multzoan definitu ...... ia-propietatea betetzen duela.
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Relacja antysymetryczna, relac ...... Onyszkiewicz używają drugiej.
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Una relación binaria sobre un ...... presenta con el par ordenado .
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title
Antisymmetric Relation
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AntisymmetricRelation
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A la matemàtica, una relació b ...... la reflexivitat de la relació.
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Antisymetrická relace je matem ...... em slabé a silné antisymetrie.
@cs
Antisymmetrisch heißt eine zwe ...... etzungen für eine Halbordnung.
@de
Em matemática, uma relação ant ...... étrica, mas o inverso é falso.
@pt
En matematiko, duargumenta ril ...... povas esti se kaj nur se a=b.
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En mathématiques, une relation ...... isymétrique et antiréflexive).
@fr
In mathematics, a relation R o ...... ually holds or not for any a.)
@en
Matematikan, multzoan definitu ...... ia-propietatea betetzen duela.
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Relacja antysymetryczna, relac ...... tzn. jest to ten sam element).
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Una relación binaria sobre un ...... presenta con el par ordenado .
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Antisimetria-erlazio
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Antisymetrická relace
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Antisymmetric relation
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Antisymmetrische Relation
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Antisymmetrisk relation
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Malsimetria rilato
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Relació antisimètrica
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Relación antisimétrica
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Relacja antysymetryczna
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Relation antisymétrique
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