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The kernel of a symmetric bilinear form Q:V×V-->R is the set Ker(Q)={v in V|Q(v,w)=0 for all w in V}.

The companion matrix to a monic polynomial a(x)=a_0+a_1x+...+a_(n-1)x^(n-1)+x^n (1) is the n×n square matrix A=[0 0 ... 0 -a_0; 1 0 ... 0 -a_1; 0 1 ... 0 -a_2; | | ... ... |; ...

The partial differential equation u_(xy)+(alphau_x-betau_y)/(x-y)=0.

Consider a function f(x) in one dimension. If f(x) has a relative extremum at x_0, then either f^'(x_0)=0 or f is not differentiable at x_0. Either the first or second ...

A vector field v for which the curl vanishes, del xv=0.

The portion of the complex plane z=x+iy with real part R[z]<0.

A distribution with zero kurtosis excess, i.e., gamma_2=0.

The negative real axis is the portion of the real axis with x<0.

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.