What (who) is symmetric - definition

STATE; BALANCE OF OBJECT

Symmetries; Symmetric; Symmetrical; Symmetry transformation; Symmetry principles; Symettry; Symmetry and asymmetry; Planar symmetry; Symmetric property; Chemical symmetry elements; Symetrical; Symmetry (music); ⌯; Quadrilateral symmetry; Musical symmetry

$A [[fractal]]-like shape that has [[reflectional symmetry]], [[rotational symmetry]] and [[self-similarity]], three forms of symmetry. This shape is obtained by a [[finite subdivision rule]].$

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)

Symmetric

·adj Symmetrical.

Elementary symmetric polynomial

HOMOGENEOUS SYMMETRIC POLYNOMIAL IN WHICH EACH POSSIBLE MONOMIAL OCCURS EXACTLY ONCE WITH COEFFICIENT 1

Elementary symmetric function; Elementary symmetric polynomials; Fundamental theorem of symmetric polynomials; Fundamental Theorem of Symmetric Polynomials

In mathematics, specifically in commutative algebra, the elementary symmetric polynomials are one type of basic building block for symmetric polynomials, in the sense that any symmetric polynomial can be expressed as a polynomial in elementary symmetric polynomials. That is, any symmetric polynomial is given by an expression involving only additions and multiplication of constants and elementary symmetric polynomials.

https://en.wikipedia.org/wiki/Elementary_symmetric_polynomial

Wikipedia

Symmetry

Symmetry (from Ancient Greek: συμμετρία symmetria "agreement in dimensions, due proportion, arrangement") in everyday language refers to a sense of harmonious and beautiful proportion and balance. In mathematics, "symmetry" has a more precise definition, and is usually used to refer to an object that is invariant under some transformations; including translation, reflection, rotation or scaling. Although these two meanings of "symmetry" can sometimes be told apart, they are intricately related, and hence are discussed together in this article.

Mathematical symmetry may be observed with respect to the passage of time; as a spatial relationship; through geometric transformations; through other kinds of functional transformations; and as an aspect of abstract objects, including theoretic models, language, and music.

This article describes symmetry from three perspectives: in mathematics, including geometry, the most familiar type of symmetry for many people; in science and nature; and in the arts, covering architecture, art and music.

The opposite of symmetry is asymmetry, which refers to the absence or a violation of symmetry.

https://en.wikipedia.org/wiki/Symmetry

Pronunciation examples for symmetric

1. look also symmetric.

_ Dave Goldberg _ Talks at Google

2. the building is symmetric,

ted-talks_978_PeterHaas_2010G-320k

3. are rotationally symmetric.

The Enigmatist Builds a Puzzle _ David Kwong _ Talks at Google

4. symmetric or beautiful.

A Beautiful Question _ Frank Wilczek _ Talks at Google

5. symmetric objects in nature, symmetric objects in art.

_ Dave Goldberg _ Talks at Google

Examples of use of symmetric

1. "This is not a symmetric approach," he told the AP.

2. "The goodwill must be symmetric and from both sides," Tusk added.

3. It is a textbook example of a symmetric, totally round, perfect inflow, perfect exit areas.

4. So the CPA though very risky provided an opportunity for the SPLA chief war architects and chief war engineers to turn the symmetric game into a non–symmetric zero–sum–game, in favor of SPLA.

5. "We used to assume that it‘s all symmetric and simple," said Leonard Burlaga, an astrophysicist at NASA‘s Goddard Space Flight Center in Greenbelt, Maryland.