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For a finite group of h elements with an n_ith dimensional ith irreducible representation, sum_(i)n_i^2=h.

A circle-preserving transformation composed of an even number of inversions.

A moment sequence is a sequence {mu_n}_(n=0)^infty defined for n=0, 1, ... by mu_n=int_0^1t^ndalpha(t), where alpha(t) is a function of bounded variation in the interval ...

A prime field is a finite field GF(p) for p is prime.

A point at which two noncrossing branches of a curve meet with different tangents.

The probability that a statistical test will be positive for a true statistic.

Transitivity is a result of the symmetry in the group. A group G is called transitive if its group action (understood to be a subgroup of a permutation group on a set Omega) ...

Possessing a three equivalent modes.

Abstract algebra is the set of advanced topics of algebra that deal with abstract algebraic structures rather than the usual number systems. The most important of these ...

Let M^n be a compact n-dimensional oriented Riemannian manifold without boundary, let O be a group representation of pi_1(M) by orthogonal matrices, and let E(O) be the ...