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Что (кто) такое symmetric - определение
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
![Symmetry (left) and [[asymmetry]] (right)](https://commons.wikimedia.org/wiki/Special:FilePath/Asymmetric (PSF).svg?width=200 "Symmetry (left) and [[asymmetry]] (right)")
![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]].](https://commons.wikimedia.org/wiki/Special:FilePath/BigPlatoBig.png?width=200 "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]].")
![Great Mosque of Kairouan]] also called the Mosque of Uqba, in [[Tunisia]].](https://commons.wikimedia.org/wiki/Special:FilePath/Great Mosque of Kairouan, west portico of the courtyard.jpg?width=200 "Great Mosque of Kairouan]] also called the Mosque of Uqba, in [[Tunisia]].")
![The ceiling of [[Lotfollah mosque]], [[Isfahan]], [[Iran]] has 8-fold symmetries.](https://commons.wikimedia.org/wiki/Special:FilePath/Isfahan Lotfollah mosque ceiling symmetric.jpg?width=200 "The ceiling of [[Lotfollah mosque]], [[Isfahan]], [[Iran]] has 8-fold symmetries.")
![Clay pots thrown on a [[pottery wheel]] acquire rotational symmetry.](https://commons.wikimedia.org/wiki/Special:FilePath/Makingpottery.jpg?width=200 "Clay pots thrown on a [[pottery wheel]] acquire rotational symmetry.")
![A spherical [[symmetry group]] with [[octahedral symmetry]]. The yellow region shows the [[fundamental domain]].](https://commons.wikimedia.org/wiki/Special:FilePath/Sphere symmetry group o.svg?width=200 "A spherical [[symmetry group]] with [[octahedral symmetry]]. The yellow region shows the [[fundamental domain]].")
![[[Leonardo da Vinci]]'s '[[Vitruvian Man]]' (ca. 1487) is often used as a representation of symmetry in the human body and, by extension, the natural universe.](https://commons.wikimedia.org/wiki/Special:FilePath/Studio del Corpo Umano - Leonardo da Vinci.png?width=200 "[[Leonardo da Vinci]]'s '[[Vitruvian Man]]' (ca. 1487) is often used as a representation of symmetry in the human body and, by extension, the natural universe.")
![Seen from the side, the [[Taj Mahal]] has bilateral symmetry; from the top (in plan), it has fourfold symmetry.](https://commons.wikimedia.org/wiki/Special:FilePath/Taj Mahal, Agra views from around (85).JPG?width=200 "Seen from the side, the [[Taj Mahal]] has bilateral symmetry; from the top (in plan), it has fourfold symmetry.")
![The [[triskelion]] has 3-fold rotational symmetry.](https://commons.wikimedia.org/wiki/Special:FilePath/The armoured triskelion on the flag of the Isle of Man.svg?width=200 "The [[triskelion]] has 3-fold rotational symmetry.")
![p4 symmetry]]](https://commons.wikimedia.org/wiki/Special:FilePath/Zoomorphs.svg?width=200 "p4 symmetry]]")
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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.
symmetric key cryptography
ALGORITHM
Symmetric Algorithms; Symmetric key; Symmetric encryption; Symmetric key cryptography; Symmetric cypher; Shared key; Symmetric cipher; Symmetric-key cipher; Symmetric key algorithms; Symmetric cryptography; Private-key cryptography; Symmetric key encryption; Symmetric key algorithm; Reciprocal cipher; Reciprocal encipherment; Private key cryptography; Symmetric-key encryption algorithm; Symmetric-key cryptography; Private-key; Symmetric algorithm; Private-key encryption; Symmetrical encryption
<cryptography> A cryptography system in which both parties
have the same encryption key, as in {secret key
cryptography}.
Opposite: public-key cryptography.
(1998-06-09)
Symmetric-key algorithm
ALGORITHM
Symmetric Algorithms; Symmetric key; Symmetric encryption; Symmetric key cryptography; Symmetric cypher; Shared key; Symmetric cipher; Symmetric-key cipher; Symmetric key algorithms; Symmetric cryptography; Private-key cryptography; Symmetric key encryption; Symmetric key algorithm; Reciprocal cipher; Reciprocal encipherment; Private key cryptography; Symmetric-key encryption algorithm; Symmetric-key cryptography; Private-key; Symmetric algorithm; Private-key encryption; Symmetrical encryption
Symmetric-key algorithms are algorithms for cryptography that use the same cryptographic keys for both the encryption of plaintext and the decryption of ciphertext. The keys may be identical, or there may be a simple transformation to go between the two keys.
Orthogonal symmetric Lie algebra
Symmetric Lie algebra; Symmetric Lie group
In mathematics, an orthogonal symmetric Lie algebra is a pair (\mathfrak{g}, s) consisting of a real Lie algebra \mathfrak{g} and an automorphism s of \mathfrak{g} of order 2 such that the eigenspace \mathfrak{u} of s corresponding to 1 (i.e.
Skew-symmetric matrix
SQUARE MATRIX WHOSE TRANSPOSE IS ITS NEGATIVE
Anti-symmetric matrix; Antisymmetric matrix; Skew symmetric matrix; Skew-symmetry; Skew symmetric; Antimetric matrix; Skew-symmetric matrices; Antisymmetric matrices; Skew symmetry
In mathematics, particularly in linear algebra, a skew-symmetric (or antisymmetric or antimetric) matrix is a square matrix whose transpose equals its negative. That is, it satisfies the condition
Symmetric successive over-relaxation
PRECONDITIONER
SSOR; SSOR preconditioner; Symmetric successive overrelaxation
In applied mathematics, symmetric successive over-relaxation (SSOR),Iterative methods at CFD-Online wiki is a preconditioner.
symmetry
['s?m?tri]
¦ noun (plural symmetries) the quality of being made up of exactly similar parts facing each other or around an axis.
?correct or pleasing proportion of parts.
?similarity or exact correspondence.
?Physics & Mathematics the property of being unchanged by a given operation or process.
Derivatives
symmetrize or symmetrise verb
Origin
C16: from Fr. symetrie or L. symmetria, from Gk, from sun- 'with' + metron 'measure'.
symmetrical
If something is symmetrical, it has two halves which are exactly the same, except that one half is the mirror image of the other.
...the neat rows of perfectly symmetrical windows.
ADJ
• symmetrically
The south garden at Sissinghurst was composed symmetrically.
ADV: ADV with v
Википедия
Symmetry
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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.
