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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 conjecture concerning primes.

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 prime constellation of four successive primes with minimal distance (p,p+2,p+6,p+8). The term was coined by Paul Stäckel (1892-1919; Tietze 1965, p. 19). The quadruplet (2, ...

((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 ...

The Young tableau (plural, "tableaux") of a Ferrers diagram is obtained by placing the numbers 1, ..., n in the n boxes of the diagram. A "standard" Young tableau is a Young ...