Search Results for ""

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 conjecture concerning primes.

Mills (1947) proved the existence of a real constant A such that |_A^(3^n)_| (1) is prime for all integers n>=1, where |_x_| is the floor function. Mills (1947) did not, ...

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.