symmetric

sym·met·ri·cal

S0958500 (sĭ-mĕt′rĭ-kəl) also sym·met·ric (-rĭk)adj. Of or exhibiting symmetry.

sym·met′ri·cal·ly adv.

symmetric

(sɪˈmɛtrɪk) adj1. (Logic) logic maths (of a relation) holding between a pair of arguments x and y when and only when it holds between y and x, as … is a sibling of … but not … is a brother of …. Compare asymmetric⁵, antisymmetric, nonsymmetric2. (Mathematics) logic maths (of a relation) holding between a pair of arguments x and y when and only when it holds between y and x, as … is a sibling of … but not … is a brother of …. Compare asymmetric⁵, antisymmetric, nonsymmetric3. another word for symmetrical⁵

Thesaurus

Adj.

symmetric - having similarity in size, shape, and relative position of corresponding partssymmetricalparallel - being everywhere equidistant and not intersecting; "parallel lines never converge"; "concentric circles are parallel"; "dancers in two parallel rows"regular - in accordance with fixed order or procedure or principle; "his regular calls on his customers"; "regular meals"; "regular duties"

symmetric

adjectiveCharacterized by or displaying symmetry, especially correspondence in scale or measure:balanced, proportional, proportionate, regular, symmetrical.

Translations

symmetric

(mathematics)1. A relation R is symmetric if, for all x andy,

x R y => y R x

If it is also antisymmetric (x R y & y R x => x == y) thenx R y => x == y, i.e. no two different elements are related.

2. In linear algebra, a member of the tensor product of avector space with itself one or more times, is symmetric ifit is a fixed point of all of the linear isomorphisms ofthe tensor product generated by permutations of the orderingof the copies of the vector space as factors. It is said tobe antisymmetric precisely if the action of any of theselinear maps, on the given tensor, is equivalent tomultiplication by the sign of the permutation in question.

symmetric

No difference in opposing modes. It typically refers to speed. For example, in symmetric operations, it takes the same time to compress and encrypt data as it does to decompress and decrypt it. Contrast with asymmetric.

symmetric

Related to symmetric: Symmetric difference, Symmetric encryption

Synonyms for symmetric

adj characterized by or displaying symmetry, especially correspondence in scale or measure

Synonyms

balanced
proportional
proportionate
regular
symmetrical

Synonyms for symmetric

adj having similarity in size, shape, and relative position of corresponding parts

Synonyms

symmetrical

Related Words

parallel
regular