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The signed deviation is defined by Deltau_i=(u_i-u^_), so the average deviation is Deltau^_=u_i-u^_^_=u_i^_-u^_=0.

Let K and L be simplicial complexes, and let f:K^((0))->L^((0)) be a map. Suppose that whenever the vertices v_0, ..., v_n of K span a simplex of K, the points f(v_0), ..., ...

A fixed point for which the stability matrix has both eigenvalues negative, so lambda_1<lambda_2<0.

The function psi(x)={x(1-(x^2)/(c^2))^2 for |x|<c; 0 for |x|>c (1) sometimes used in robust estimation. It has a minimum at x=-c/sqrt(5) and a maximum at x=c/sqrt(5), where ...

A fixed point for which the stability matrix has both eigenvalues positive, so lambda_1>lambda_2>0.

The unit upper half-disk is the portion of the complex plane satisfying {|z|<=1,I[z]>0}.

The partial differential equation iu_t+[(1+|u|^2u)^(-1/2)u]_(xx)=0.

The second-order ordinary differential equation y^('')+[A+Bcos(2x)+Ccos(4x)]y=0.

Let y_n be a complex number for 1<=n<=N and let y_n=0 if n<1 or n>N. Then (Montgomery 2001).

The point at which a curve or function crosses the x-axis (i.e., when y=0 in two dimensions).