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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 ...

The Greek word for 10000.

A 10000-sided polygon.

One of the two pieces of a double cone (i.e., two cones placed apex to apex).

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

An algebraic surface of degree 9. Enneper's minimal surface is an example of a nonic surface.

In the American system, 10^(30).

A quantity which is either 0 (zero) or positive, i.e., >=0.