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The lower clique number omega_L(G) of a graph G may be defined as the size of a smallest maximal clique in a graph G. It therefore corresponds to the coefficient of the ...

If a sphere is covered by three closed sets, then one of them must contain a pair of antipodal points.

If a matrix group is reducible, then it is completely reducible, i.e., if the matrix group is equivalent to the matrix group in which every matrix has the reduced form ...

The result of a matrix multiplication.

A set having the largest number k of distinct residue classes modulo m so that no subset has zero sum.

A minimum clique covering is a clique covering of minimum size, and the size of such a minimum clique covering is known as the clique covering number. Note that while a ...

The second-order ordinary differential equation y^('')+alpha(x)y^'+x^2y^n=0.

If lim_(z->z_0)(f(z)-f(z_0))/(z-z_0) is the same for all paths in the complex plane, then f(z) is said to be monogenic at z_0. Monogenic therefore essentially means having a ...

In above figure, which constitutes a modified version of the painting Tirets by Francois Morellet, small circles seem to appear and disappear as the eye is moved over them.

Two real algebraic manifolds are equivalent iff they are analytically homeomorphic (Nash 1952).