The extent of the affection in the bones of the legs varies a great deal and usually is not symmetric.
Secondary manifestations are usually bilateral, and often symmetric in configuration and distribution.
Fig. 217 shows a triskelion of symmetric spirals turned to the right.
And over this rich vitality and this symmetric mechanism now reigned only, with the animal life, the mind.
There was a horrible fascination in it—human bodies and lives subjected in slavery to that symmetric monster of the colliery.
In general, if the equation is given arbitrarily, the group will be the symmetric group.
The normal profile is thus a symmetric cone with a flaring base.
Keratosis palmaris et plantaris (symmetric keratodermia), as regards the local condition, is a somewhat similar affection.
Our hands, feet, and ears afford other illustrations of symmetric solids.
In some fishes with vertebrated tail fins the fin is symmetric (Fig. 300), and this seems to be the primitive type.
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)