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An algorithm which finds the least nonnegative value of sqrt(a (mod p)) for given a and prime p.

A translation without rotation or distortion.

The edge of a polygon or face of a polyhedron are sometimes called sides.

Theta(G;A)=<theta(a):a in A-1> is an A-invariant solvable p^'-subgroup of G.

To multiply the size of a d-D object by a factor a, c=a^d copies are required, and the quantity d=(lnc)/(lna) is called the similarity dimension.

An algebra with no nontrivial ideals.

The type of homology which results when the spaces being studied are restricted to simplicial complexes and subcomplexes.

If (sinalpha)/(sinbeta)=m/n, then (tan[1/2(alpha-beta)])/(tan[1/2(alpha+beta)])=(m-n)/(m+n).

The sine function sinx is one of the basic functions encountered in trigonometry (the others being the cosecant, cosine, cotangent, secant, and tangent). Let theta be an ...

The general type of homology which is what mathematicians generally mean when they say "homology." Singular homology is a more general version than Poincaré's original ...