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Definition of Symmetric
1. Adjective. Having similarity in size, shape, and relative position of corresponding parts.
Also: Parallel, Regular
Similar to: Bilateral, Bilaterally Symmetric, Bilaterally Symmetrical, Isobilateral, Biradial, Cruciate, Cruciform, Even, Regular, Interchangeable, Isosceles, Radial, Radiate, Stellate, Centrosymmetric, Radially Symmetrical, Rhombohedral, Trigonal
Derivative terms: Symmetry, Symmetry, Symmetricalness
Antonyms: Asymmetrical
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
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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