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An element B of a ring is nilpotent if there exists a positive integer k for which B^k=0.

An ordinary differential equation of order n is an equation of the form F(x,y,y^',...,y^((n)))=0.

A nonsingular linear map A:R^n->R^n is orientation-reversing if det(A)<0.

A quadratic surface given by the equation x^2+2rz=0.

An m×n matrix which gives the possible outcome of a two-person zero-sum game when player A has m possible moves and player B n moves. The analysis of the matrix in order to ...

Let f:R×R->R be a one-parameter family of C^3 maps satisfying f(-x,mu)=-f(x,mu) (1) (partialf)/(partialx)|_(mu=0, x=0)=0 (2) (partial^2f)/(partialxpartialmu)|_(mu=0, x=0)>0 ...

The ordinary differential equation y^('')+k/xy^'+deltae^y=0.

A sequence of polynomials p_i(x), for i=0, 1, 2, ..., where p_i(x) is exactly of degree i for all i.

The positive real axis is the portion of the real axis with x>0.

The partial differential equation u_t+u_x-6uu_x-u_(txx)=0.