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In accounting, the principal is the original amount borrowed or lent on which interest is then paid or given. The word "principal" is also used in many areas of mathematics ...

A lattice path from one point to another is p-good if it lies completely below the line y=(p-1)x. (1) Hilton and Pederson (1991) show that the number of p-good paths from (1, ...

A symmetric polynomial on n variables x_1, ..., x_n (also called a totally symmetric polynomial) is a function that is unchanged by any permutation of its variables. In other ...

For any sets A and B, their cardinal numbers satisfy |A|<=|B| iff there is a one-to-one function f from A into B (Rubin 1967, p. 266; Suppes 1972, pp. 94 and 116). It is easy ...

The map which assigns every member of a set A to the same element id_A. It is identical to the identity function.

A set A of integers is recursively isomorphic to set B if there is a bijective recursive function f such that f(A)=B.

The sequency k of a Walsh function is defined as half the number of zero crossings in the time base.

The property intf(y)delta(x-y)dy=f(x) obeyed by the delta function delta(x).

The study of valuations which simplifies class field theory and the theory of function fields.

Church proved several important theorems that now go by the name Church's theorem. One of Church's theorems states that there is no consistent decidable extension of Peano ...