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A Banach limit is a bounded linear functional f on the space ł^infty of complex bounded sequences that satisfies ||f||=f(1)=1 and f({a_(n+1)})=f({a_n}) for all {a_n} in ...

The number of ways in which a group of n with weights sum_(i=1)^(n)w_i=1 can change a losing coalition (one with sumw_i<1/2) to a winning one, or vice versa. It was proposed ...

A polyhex consisting of hexagons arranged along a line.

A polyiamond consisting of equilateral triangles arranged along a line.

A man of Seville is shaved by the Barber of Seville iff the man does not shave himself. Does the barber shave himself? This pseudoparadox was proposed by Bertrand Russell.

When working over a collection of fields, the base field is the intersection of the fields in the collection, i.e., the field contained in all other fields.

The space B of a fiber bundle given by the map f:E->B, where E is the total space of the fiber bundle.

A basepoint is the beginning and ending point of a loop. The fundamental group of a topological space is always with respect to a particular choice of basepoint.

The set of points in the space of system variables such that initial conditions chosen in this set dynamically evolve to a particular attractor.

The word basis can arise in several different contexts. Speaking in general terms, an object is "generated" by a basis in whatever manner is appropriate. For example, a ...