The fact that a star can only be studied through its light may seem, at first, to impose severe limitations on the knowledge to be acquired concerning the nature of these bright pinpoints on the night sky. When Mother Goose…

A study of the electronic properties of a substance usually requires the knowledge of its band structure. The starting point when trying to determine the band structure of a crystalline material is to employ one or another type of approximation…

In many mathematical investigations such as determination of degree of a field extension, determination of the Galois group etc. the knowledge of ineducibility of a polynomial f(x),or if reducible the nature of the irreducible factors of f(x)are desired. We wish…

Note: Missing Page 118., In 1837 a paper by Poisson [61] was published in France, establishing the Poisson distribution. Since then a great deal of research has been done on this distribution and the distributions stemming from it. It enjoys…

The discipline of automated theorem proving encompasses techniques which allow us to find a justification of a logical statement expressing an assertion in some domain of knowledge. Beside obvious importance for mathematics, many of the tasks traditionally associated with human…

We consider a nonlinear mathematical program, with twice continuously differentiable functions., If a point x$ sb0$ does not satisfy a certain Second Order Sufficient Condition (SOS) for optimality (that does not require any constraint qualification, see, e.g., BEN-ISRAEL, BEN-TAL and…