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Given a unit disk, find the smallest radius r(n) required for n equal disks to completely cover the unit disk. The first few such values are r(1) = 1 (1) r(2) = 1 (2) r(3) = ...

Johnson solid J_(90).

If lim_(k->infty)u_k!=0, then the series {u_n} diverges.

A divergent sequence is a sequence that is not convergent.

This statement seems incomplete. Locate a reference and complete statement of the condition. For any group of k men out of N, there must be at least k jobs for which they are ...

The star polygon {12/5}.

Distinguish between smooth manifolds in four dimensions.

The product of three translations along the directed sides of a triangle through twice the lengths of these sides is the identity map.

A pair of overdots placed over a symbol, as in x^.., most commonly used to denote a second derivative with respect to time, i.e., x^..=d^2x/dt^2.

The double factorial of a positive integer n is a generalization of the usual factorial n! defined by n!!={n·(n-2)...5·3·1 n>0 odd; n·(n-2)...6·4·2 n>0 even; 1 n=-1,0. (1) ...