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Sociable numbers computed using the analog of the restricted divisor function s^*(n) in which only unitary divisors are included.

The study of valuations which simplifies class field theory and the theory of function fields.

A knot which is not a tame knot.

One name for the figure used by Euclid to prove the Pythagorean theorem.

Young's lattice Y_p is the partial order of partitions contained within a partition p ordered by containment (Stanton and White 1986; Skiena 1990, p. 77).

The partial differential equation ((partial^2)/(partialt^2)-(partial^2)/(partialx^2))((u_(xy))/u)+2(u^2)_(xt)=0.

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Multivariable Calculus

Let a group G have a group presentation G=<x_1,...,x_n|r_j(x_1,...,x_n),j in J> so that G=F/R, where F is the free group with basis {x_1,...,x_n} and R is the normal subgroup ...

In general, the external similitude center of two circles C_1=C(x_1,r_1) and C_2=C(x_2,r_2) with centers given in Cartesian coordinates is given by ...