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A Tauberian

**theorem**is a**theorem**that deduces the convergence of an series on the basis of the properties of the function it defines and any kind of auxiliary hypothesis ...Let f(x) be differentiable on the open interval (a,b) and continuous on the closed interval [a,b]. Then there is at least one point c in (a,b) such that ...

If n>19, there exists a Poulet number between n and n^2. The

**theorem**was proved in 1965.The Schröder-Bernstein

**theorem**for numbers states that if n<=m<=n, then m=n. For sets, the**theorem**states that if there are injections of the set A into the set B and of B ...A

**theorem**, also called the iteration**theorem**, that makes use of the lambda notation introduced by Church. Let phi_x^((k)) denote the recursive function of k variables with ...The Hopf invariant one

**theorem**, sometimes also called Adams'**theorem**, is a deep**theorem**in homotopy theory which states that the only n-spheres which are H-spaces are S^0, ...A special case of Stokes'

**theorem**in which F is a vector field and M is an oriented, compact embedded 2-manifold with boundary in R^3, and a generalization of Green's**theorem**...Let A be a sum of squares of n independent normal standardized variates X_i, and suppose A=B+C where B is a quadratic form in the x_i, distributed as chi-squared with h ...

The divergence

**theorem**, more commonly known especially in older literature as Gauss's**theorem**(e.g., Arfken 1985) and also known as the Gauss-Ostrogradsky**theorem**, is a ...The Kuhn-Tucker

**theorem**is a**theorem**in nonlinear programming which states that if a regularity condition holds and f and the functions h_j are convex, then a solution ......