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Solve the Pell equation x^2-92y^2=1 in integers. The smallest solution is x=1151, y=120.

The group of classes of finite dimensional central simple algebras over k with respect to a certain equivalence.

A pair of consecutive numbers.

A determinant appearing in Padé approximant identities: C_(r/s)=|a_(r-s+1) a_(r-s+2) ... a_r; | | ... |; a_r a_(r+1) ... a_(r+s-1)|.

Calabi-Yau spaces are important in string theory, where one model posits the geometry of the universe to consist of a ten-dimensional space of the form M×V, where M is a four ...

A puzzle in logic in which one or more facts must be inferred from a set of given facts.

A type of maximal Abelian subgroup.

A Z-action or N-action. A cascade and a single map X->X are essentially the same, but the term "cascade" is preferred by many Russian authors.

A variable which belongs to exactly one of a finite number of categories.

A necessary and sufficient condition for a sequence S_i to converge. The Cauchy criterion is satisfied when, for all epsilon>0, there is a fixed number N such that ...