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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 ...

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

Sampling at the Nyquist frequency.

The probability that a variate would assume a value greater than or equal to the observed value strictly by chance: P(z>=z_(observed)).

The metric ds^2=(dx^2+dy^2)/((1-|z|^2)^2) of the Poincaré hyperbolic disk.

If B superset A (B is a superset of A), then P(A)<=P(B).

Three sets of three lines such that each line is incident with two from both other sets.

L is a subnormal subgroup of H if there is a "normal series" (in the sense of Jordan-Hölder) from L to H.

The set closure of the set of arguments of a function f for which f is not zero.

A lottery in which three numbers are picked at random from the integers 1-14.