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F_mF_(n+1)-F_nF_(m+1)=(-1)^nF_(m-n), where F_n is a Fibonacci number.

Consider the process of taking a number, adding its digits, then adding the digits of the number derived from it, etc., until the remaining number has only one digit. The ...

rho_(n+1)(x)=intrho_n(y)delta[x-M(y)]dy, where delta(x) is a delta function, M(x) is a map, and rho is the natural invariant.

A function that has a natural boundary.

An natural equation which expresses a curve in terms of its arc length s and tangential angle phi.

The ratio of two numbers r and s is written r/s, where r is the numerator and s is the denominator. The ratio of r to s is equivalent to the quotient r/s. Betting odds ...

z^p-y^p=(z-y)(z-zetay)...(z-zeta^(p-1)y), where zeta=e^(2pii/p) (a de Moivre number) and p is a prime.

alpha is called a predecessor if there is no ordinal number beta such that beta+1=alpha.

omega^epsilon=epsilon, where omega is an ordinal number and epsilon is an inaccessible cardinal.

A very large number defined in terms of circle notation by Steinhaus (1983) as .