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

The index set for the collection of submodules in a graded module.

Related to one another by a homomorphism.

The fifth of Peano's axioms, which states: If a set S of numbers contains zero and also the successor of every number in S, then every number is in S.

A knot diagram which does not specify whether crossings are under- or overcrossings.

An unknot which can only be unknotted by first increasing the number of crossings.

Approximates the possible values of y in terms of x if sum_(i,j=0)^na_(ij)x^iy^j=0.

A cupolarotunda in which the bases are in the same orientation.

A parameterization of a surface x(u,v) in u and v is regular if the tangent vectors (partialx)/(partialu) and (partialx)/(partialv) are always linearly independent.

A repeating decimal, also called a recurring decimal, is a number whose decimal representation eventually becomes periodic (i.e., the same sequence of digits repeats ...