Search Results for ""

If pi on V and pi^' on V^' are irreducible representations and E:V|->V^' is a linear map such that pi^'(g)E=Epi(g) for all g in and group G, then E=0 or E is invertible. ...

Given a subalgebra A of the algebra B(H) of bounded linear transformations from a Hilbert space H onto itself, the vector v in H is a separating vector for A if the only ...

The dual vector space to a real vector space V is the vector space of linear functions f:V->R, denoted V^*. In the dual of a complex vector space, the linear functions take ...

A closed trail is called a circuit when it is specified in cyclic order but no first vertex is explicitly identified.

A derivative of a complex function, which must satisfy the Cauchy-Riemann equations in order to be complex differentiable.

If F is a group, then the extensions G of F of order o with G/phi(G)=F, where phi(G) is the Frattini subgroup, are called Frattini extensions.

If the difference between the order and the dimension of a series is less than the curve genus, then the series is special.

The ordinal number of a value in a list arranged in a specified order (usually decreasing).

A method for constructing magic squares of odd order, also called the Siamese method.

A real polynomial P is said to be stable if all its roots lie in the left half-plane. The term "stable" is used to describe such a polynomial because, in the theory of linear ...