Definition of Symmetric

1. Adjective. Having similarity in size, shape, and relative position of corresponding parts.


Definition of Symmetric

1. a. Symmetrical.

Definition of Symmetric

1. Adjective. Symmetrical. ¹

2. Adjective. (set theory) Of a relation ''R'' on a set ''S'', such that ''xRy'' if and only if ''yRx'' for all members ''x'' and ''y'' of ''S'' (that is, if the relation holds between any element and a second, it also holds between the second and the first). ¹

3. Adjective. (cryptography) Using the same key (or keys that are trivially related) for both encryption and decryption. ¹

¹ Source: wiktionary.com

Definition of Symmetric

1. [adj]

Lexicographical Neighbors of Symmetric

symbololatry
symbols
symesite
symitar
symitare
symitares
symitars
symlink
symlinked
symlinking
symlinks
symmetallism
symmetallisms
symmetral
symmetric
symmetric difference
symmetric function
symmetric functions
symmetric group
symmetric groups
symmetric matrix
symmetric polynomial
symmetric polynomials
symmetrical
symmetrical balance
symmetrically
symmetricalness
symmetrician
symmetricians

Literary usage of Symmetric

Below you will find example usage of this term as found in modern and/or classical literature:

1. A College Algebra by Henry Burchard Fine (1904)
"Symmetric PAIRS OF EQUATIONS 661 A pair of equations in x, y is said to be symmetric if it remains unchanged when x and y are interchanged. ..."

2. Theory and Applications of Finite Groups by George Abram Miller, Hans Frederick Blichfeldt, Leonard Eugene Dickson (1916)
"Groups of Isomorphisms of the Alternating and the Symmetric Groups. In this section we propose to prove the theorems that the alternating and the symmetric ..."

3. Theory and Applications of Finite Groups by George Abram Miller, Hans Frederick Blichfeldt, Leonard Eugene Dickson (1916)
"or no two of the operators of the set under consideration are commutative. 65. Groups of Isomorphisms of the Alternating and the Symmetric Groups. ..."

4. The Encyclopaedia Britannica: A Dictionary of Arts, Sciences, Literature and (1910)
"a linear function of symmetric functions symbolized by the k specifications ; and that в„ = в„. ... Operation oí D, «fro« a Product of Symmetric Functions. ..."

5. Algebra: An Elementary Text Book for the Higher Classes of Secondary Schools by George Chrystal (1886)
"... We can now express any symmetric integral function wlw.tever of the roots of the quadratic (1) as an integral function of pt and pf Since any symmetric ..."

6. First Course in the Theory of Equations by Leonard Eugene Dickson (1922)
"Rational Functions Symmetric in all but One of the Roots. // P is a rational function of the roots of an equation f(x) — 0 of degree n and if P is symmetric ..."

7. Algebra: An Elementary Text Book for the Higher Classes of Secondary Schools by George Chrystal (1904)
"We can now show that every integral symmetric function of the roots can be expressed as ... The terms of every symmetric function can be grouped into types, ..."

8. A College Algebra by Henry Burchard Fine (1904)
"Symmetric PAIRS OF EQUATIONS 661 A pair of equations in x, y is said to be symmetric if it remains unchanged when x and y are interchanged. ..."

9. Theory and Applications of Finite Groups by George Abram Miller, Hans Frederick Blichfeldt, Leonard Eugene Dickson (1916)
"Groups of Isomorphisms of the Alternating and the Symmetric Groups. In this section we propose to prove the theorems that the alternating and the symmetric ..."

10. Theory and Applications of Finite Groups by George Abram Miller, Hans Frederick Blichfeldt, Leonard Eugene Dickson (1916)
"or no two of the operators of the set under consideration are commutative. 65. Groups of Isomorphisms of the Alternating and the Symmetric Groups. ..."

11. The Encyclopaedia Britannica: A Dictionary of Arts, Sciences, Literature and (1910)
"a linear function of symmetric functions symbolized by the k specifications ; and that в„ = в„. ... Operation oí D, «fro« a Product of Symmetric Functions. ..."

12. Algebra: An Elementary Text Book for the Higher Classes of Secondary Schools by George Chrystal (1886)
"... We can now express any symmetric integral function wlw.tever of the roots of the quadratic (1) as an integral function of pt and pf Since any symmetric ..."

13. First Course in the Theory of Equations by Leonard Eugene Dickson (1922)
"Rational Functions Symmetric in all but One of the Roots. // P is a rational function of the roots of an equation f(x) — 0 of degree n and if P is symmetric ..."

14. Algebra: An Elementary Text Book for the Higher Classes of Secondary Schools by George Chrystal (1904)
"We can now show that every integral symmetric function of the roots can be expressed as ... The terms of every symmetric function can be grouped into types, ..."

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