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A mathematical statement of the equivalence of two quantities. The equality "A is equal to B" is written A=B.

An arbitrary rotation may be described by only three parameters.

An operator A^~ such that A^~^2=A^~ or an element of an algebra x such that x^2=x.

An irreducible representation of a group is a group representation that has no nontrivial invariant subspaces. For example, the orthogonal group O(n) has an irreducible ...

The double covering group of the (linear) symplectic group.

A quantity which is either 0 (zero) or positive, i.e., >=0.

An integer that is either 0 or negative, i.e., a member of the set {0} union Z^-, where Z-- denotes the negative integers.

The Fermat number F_n is prime iff 3^(2^(2^n-1))=-1 (mod F_n).

p^~=|phi_i(x)><phi_i(t)| (1) p^~sum_(j)c_j|phi_j(t)>=c_i|phi_i(x)> (2) sum_(i)|phi_i(x)><phi_i(x)|=1. (3)

The words random and stochastic are synonymous.