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The rules for the multiplication of quaternions.

One of the most useful tools in nonstandard analysis is the concept of a hyperfinite set. To understand a hyperfinite set, begin with an arbitrary infinite set X whose ...

A function f:A->B such that B is a set of numbers.

The appropriate notion of integer for surreal numbers.

The Betti numbers of a compact orientable n-manifold satisfy the relation b_i=b_(n-i).

((a+b)/2)^2-((a-b)/2)^2=ab.

The words random and stochastic are synonymous.

Rule 90 is one of the elementary cellular automaton rules introduced by Stephen Wolfram in 1983 (Wolfram 1983, 2002). It specifies the next color in a cell, depending on its ...

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

A (-1,1)-matrix is a matrix whose elements consist only of the numbers -1 or 1. For an n×n (-1,1)-matrix, the largest possible determinants (Hadamard's maximum determinant ...