1987, David C. Buchthal, Douglas E. Cameron, Modern Abstract Algebra, Prindle, Weber & Schmidt, page 479, The standard example for an antisymmetric relation is the relation less than or equal to on the real number system.
Source: wiktionary
Antisymmetric
Synonyms for "antisymmetric" (2 found)
Ranked by relevance and common usage.
Closest matches (1)
Related words (1)
Adjective(1 words)
Related word relations
OpenGloss and ConceptNet supply richer edges like generalizations, collocations, and derivations.
Synonyms
1 entriesRelated terms
4 entriesderived
2 entriesderived from
1 entrieshas context
3 entriesrelated to
9 entriesTranslations
19 translations across 13 languages.
Czech
1 entries- antisymetrický adj ((order theory; of a binary relation on a set))
Esperanto
2 entries- antisimetria adj ((order theory; of a binary relation on a set))
- malsimetria adj ((order theory; of a binary relation on a set))
Finnish
2 entries- antisymmetrinen adj ((order theory; of a binary relation on a set))
- antisymmetrinen adj ((linear algebra))
French
1 entries- antisymétrique adj ((order theory; of a binary relation on a set))
German
2 entries- antisymmetrisch adj ((order theory; of a binary relation on a set))
- antisymmetrisch adj ((linear algebra))
Icelandic
1 entries- andsamhverfur adj ((order theory; of a binary relation on a set))
Japanese
1 entries- 反対称的 adj ((order theory; of a binary relation on a set))
Polish
2 entries- antysymetryczny adj ((order theory; of a binary relation on a set))
- antysymetryczny adj ((linear algebra))
Portuguese
1 entries- antissimétrico adj ((order theory; of a binary relation on a set))
Romanian
2 entries- antisimetric adj ((order theory; of a binary relation on a set))
- antisimetric adj ((linear algebra))
Russian
1 entries- антисимметри́чный adj ((order theory; of a binary relation on a set))
Spanish
2 entries- antisimétrico adj ((order theory; of a binary relation on a set))
- antisimétrico adj ((linear algebra))
Swedish
1 entries- antisymmetrisk adj ((order theory; of a binary relation on a set))
Sample sentences
5 total sentences available.
(i) The identity relation on a set A is an antisymmetric relation. (ii) Let R be a relation on the set N of natural numbers defined by x R y #92;Leftrightarrow 'x divides y' for all x, y ∈ N. This relation is an antisymmetric relation on N.
Source: wiktionary
The eigenvalues of an antisymmetric matrix are all purely imaginary numbers, and occur as conjugate pairs, #43;iw and -iw. As a corollary it follows that an antisymmetric matrix of odd order necessarily has one eigenvalue equal to zero; antisymmetric matrices of odd order are singular.
Source: wiktionary
Notice that the tensors defined by: #92;textstyleT#95;S#92;equiv#92;frac#123;1#125;#123;2#125;(T#43;Tᵀ), #92;textstyleT#95;A#92;equiv#92;frac#123;1#125;#123;2#125;(T-Tᵀ), (3.47) are the symmetric and antisymmetric parts, respectively; they are known as the symmetric and antisymmetric parts of T.
Source: wiktionary
Showing 4 of 5 available sentences.
Keep exploring
Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.