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The value at a stationary point.

(Deltau)_i^2=(u_i-u^_)^2, where u^_ is the average of {u_i}.

The probability of getting a positive result for a given test which should produce a positive result.

A method of stochastic optimization including techniques such as gradient search or Robbins-Monro stochastic approximation.

A function f(t) of one or more parameters containing a noise term epsilon(t) f(t)=L(t)+epsilon(t), where the noise is (without loss of generality) assumed to be additive.

If 0<=g(x)<=1 and g is nonincreasing on the interval [0, 1], then for all possible values of a and b, int_0^1g(x^(1/(a+b)))dx>=int_0^1g(x^(1/a))dxint_0^1g(x^(1/b))dx.

The series of Sturm functions arising in application of the Sturm theorem.

An algebra S^' which is part of a large algebra S and shares its properties.

A C^infty (infinitely differentiable) manifold is said to be a submanifold of a C^infty manifold M^' if M is a subset of M^' and the identity map of M into M^' is an ...

A p×q submatrix of an m×n matrix (with p<=m, q<=n) is a p×q matrix formed by taking a block of the entries of this size from the original matrix.