[1] : The Collaborative International Dictionary of English v.0.48

symmetric \symmet"ric\, a.
   symmetrical.
   1913 webster

[2] : WordNet (r) 2.0

symmetric
     adj : having similarity in size, shape, and relative position of
           corresponding parts syn: symmetrical ant: asymmetrical
see also:
symmetrical asymmetrical 

[3] : The Free On-line Dictionary of Computing (27 SEP 03)

symmetric
     
         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
     
     
see also:
relation antisymmetric linear algebra tensor product vector space fixed point 
linear isomorphisms permutations 

Symmetric >> S Words
Symmetric, definition of term: Symmetric
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Symmetric Multi >> S Words
Symmetric Multi, definition of term: Symmetric Multi
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