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Place two solid spheres of radius 1/2 inside a hollow sphere of radius 1 so that the two smaller spheres touch each other at the center of the large sphere and are tangent to ...

A diffeomorphism is a map between manifolds which is differentiable and has a differentiable inverse.

A space having dimension n>3.

An algorithm which constructs allowed mathematical statements from simple ingredients.

A pair of matrices ND^(-1) or D^(-1)N, where N is the matrix numerator and D is the denominator.

A game for which each player has a different set of moves in any position. Every position in an impartial game has a nim-value.

A point x_0 is said to be a periodic point of a function f of period n if f^n(x_0)=x_0, where f^0(x)=x and f^n(x) is defined recursively by f^n(x)=f(f^(n-1)(x)).

((a+b)/2)^2-((a-b)/2)^2=ab.

The detour index omega(G) of a graph G is a graph invariant defined as half the sum of all off-diagonal matrix elements of the detour matrix of G. Unless otherwise stated, ...

Salem constants, sometimes also called Salem numbers, are a set of numbers of which each point of a Pisot number is a limit point from both sides (Salem 1945). The Salem ...