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If one event can occur in m ways and a second can occur independently of the first in n ways, then the two events can occur in mn ways.

A mathematical object S is said to be multiplicatively closed if a,b in S implies that ab in S.

n events are said to be mutually exclusive if the occurrence of any one of them precludes any of the others. Therefore, for events X_1, ..., X_n, the conditional probability ...

The Greek word for 10000.

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

mu_i(epsilon), sometimes denoted P_i(epsilon), is the probability that element i is populated, normalized such that sum_(i=1)^Nmu_i(epsilon)=1.

The 2-cusped epicycloid is called a nephroid. The name nephroid means "kidney shaped" and was first used for the two-cusped epicycloid by Proctor in 1878 (MacTutor Archive). ...

The simplicial complex formed from a family of objects by taking sets that have nonempty intersections.

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

An element B of a ring is nilpotent if there exists a positive integer k for which B^k=0.