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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 ...

When ac is divisible by a number b that is relatively prime to a, then c must be divisible by b.

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.

A dual bivector is defined by X^~_(ab)=1/2epsilon_(abcd)X^(cd), and a self-dual bivector by X_(ab)^*=X_(ab)+iX^~_(ab).