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Let a_(n+1) = 1/2(a_n+b_n) (1) b_(n+1) = (2a_nb_n)/(a_n+b_n). (2) Then A(a_0,b_0)=lim_(n->infty)a_n=lim_(n->infty)b_n=sqrt(a_0b_0), (3) which is just the geometric mean.

A group in which any decreasing chain of distinct subgroups terminates after a finite number.

In logic, a statement which cannot be broken down into smaller statements, also simply called an "atom."

The first of several addends, or "the one to which the others are added," is sometimes called the augend. Therefore, while a, b, and c are addends in a+b+c, a is the augend.

alpha=1/Nsum_(i=1)^N|x_i-mu|=<|x_i-mu|>.

If f is continuous on a closed interval [a,b], then there is at least one number x^* in [a,b] such that int_a^bf(x)dx=f(x^*)(b-a). The average value of the function (f^_) on ...

A base-60, or sexagesimal, number system, used by the ancient Babylonians.

The Diophantine equation x^2+k=y^3, which is also an elliptic curve. The general equation is still the focus of ongoing study.

The number 13.

An "area" which can be defined for every set--even those without a true geometric area--which is rigid and finitely additive.