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symmetric

 - 4 dictionary results

sym⋅met⋅ri⋅cal

  [si-me-tri-kuhl]
Use symmetric in a Sentence
–adjective
1. characterized by or exhibiting symmetry; well-proportioned, as a body or whole; regular in form or arrangement of corresponding parts.
2. Geometry.
a. noting two points in a plane such that the line segment joining the points is bisected by an axis: Points (1, 1) and (1, −1) are symmetrical with respect to the x-axis.
b. noting a set consisting of pairs of points having this relation with respect to the same axis.
c. noting two points in a plane such that the line segment joining the points is bisected by a point or center: The points (1, 1) and (−1, −1) are symmetrical with respect to (0, 0).
d. noting a set consisting of pairs of points having this relation with respect to the same center.
3. Often, symmetric. Mathematics.
a. noting a square matrix that is equal to its transpose.
b. noting a dyad or dyadic that is equal to its conjugate.
c. noting a relation in which one element in relation to a second implies the second in relation to the first.
4. Botany.
a. divisible into two similar parts by more than one plane passing through the center; actinomorphic.
b. (of a flower) having the same number of parts in each whorl.
5. Chemistry.
a. having a structure that exhibits a regular repeated pattern of the component parts.
b. noting a benzene derivative in which three substitutions have occurred at alternate carbon atoms.
6. affecting corresponding parts simultaneously, as certain diseases.
Also, sym⋅met⋅ric.

Origin:
1745–55; symmetr(y) + -ical

Related forms:
sym⋅met⋅ri⋅cal⋅ly, adverb
sym⋅met⋅ri⋅cal⋅ness, noun

Synonyms:
1. balanced, orderly, regular, congruent.
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2009.
Cite This Source Link To symmetric
sym·met·ri·cal   (sĭ-mět'rĭ-kəl)   
adj.  Of or exhibiting symmetry.
sym·met'ri·cal·ly adv.
The American Heritage® Dictionary of the English Language, Fourth Edition
Copyright © 2009 by Houghton Mifflin Company.
Published by Houghton Mifflin Company. All rights reserved.
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Medical Dictionary

Main Entry: sym·met·ri·cal
Pronunciation: s&-'me-tri-k&l
Variant: or sym·met·ric /-trik/
Function:adjective
: having, involving, or exhibiting symmetry: as a : affecting corresponding parts simultaneously and similarly symmetrical rash> b : exhibiting symmetry in a structural formula; especially : being a derivative with groups substituted symmetrically in the molecule —sym·met·ri·cal·ly /-tri-k(&-)lE/ adverb
Merriam-Webster's Medical Dictionary, © 2002 Merriam-Webster, Inc.
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Computing Dictionary

symmetric mathematics
1. A relation R is symmetric if, for all x and y,
x R y => y R x
If it is also antisymmetric (x R y & y R x => x == y) then x R y => x == y, i.e. no two different elements are related.
2. In linear algebra, a member of the tensor product of a vector space with itself one or more times, is symmetric if it is a fixed point of all of the linear isomorphisms of the tensor product generated by permutations of the ordering of the copies of the vector space as factors. It is said to be antisymmetric precisely if the action of any of these linear maps, on the given tensor, is equivalent to multiplication by the sign of the permutation in question.
(1996-09-22)

The Free On-line Dictionary of Computing, © 1993-2007 Denis Howe
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