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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 p-adic norm satisfies |x+y|_p<=max(|x|_p,|y|_p) for all x and y.
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.
A module over a ring that is contained in and has the same addition as another module over the same ring.
If the Lexis ratio L<1, a set of trials are said to be subnormal.
L is a subnormal subgroup of H if there is a "normal series" (in the sense of Jordan-Hölder) from L to H.
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