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Exotic cohomology is a cohomology theory that extends index theory to a larger class of manifolds.

A Hermitian inner product space is a complex vector space with a Hermitian inner product.

Two events A and B are called independent if their probabilities satisfy P(AB)=P(A)P(B) (Papoulis 1984, p. 40).

"The integers" is a common way of referring to the set of integers, commonly denoted Z.

An extension ring R subset= S such that every element of S is integral over R.

A submodule N of a module M that is not the intersection of two submodules of M in which it is properly contained. In other words, for all submodules N_1 and N_2 of M, N=N_1 ...

A polynomial with matrix coefficients. An nth order matrix polynomial in a variable t is given by P(t)=A_0+A_1t+A_2t^2+...+A_nt^n, where A_k are p×p square matrices.

A multiple series is a series involving sums over more than one index.

An outcome is a subset of a probability space. Experimental outcomes are not uniquely determined from the description of an experiment, and must be agreed upon to avoid ...

The fixed point with respect to which a pedal curve or pedal triangle is drawn.