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The direct limit of the cohomology groups with coefficients in an Abelian group of certain coverings of a topological space.

The nesting of two or more functions to form a single new function is known as composition. The composition of two functions f and g is denoted f degreesg, where f is a ...

A cyclide is a pair of focal conics which are the envelopes of two one-parameter families of spheres, sometimes also called a cyclid. The cyclide is a quartic surface, and ...

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.

A number of the form a_0+a_1zeta+...+a_(p-1)zeta^(p-1), where zeta=e^(2pii/p) is a de Moivre number and p is a prime number. Unique factorizations of cyclotomic integers fail ...

A series s_1,s_2,... for which s_1>=s_2>=....

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

Distinguish between smooth manifolds in four dimensions.

Each centered convex body of sufficiently high dimension has an "almost spherical" k-dimensional central section.

Johnson solid J_7.