A polynomial reduction algorithm

5. According to Theorem 2, the Liouville set S q is not empty.. ) of even positive integers.. Erd˝ os, Representation of real numbers as sums and products of Liouville numbers,

Actually our method of proof gives a result of the type stated in the Theorem also under the assumption that the quotients α i /α u are not transcendental but have logarithmic

Abstract. In this article we propose a probabilistic framework in order to study the fair division of a divisible good, e.g. Our framework follows the same idea than the

translate for the first time the Frobenius problem into an algebraic setting, showing that the Frobenius number is the degree of the Hilbert-Poincar´e series written as a

It is natural to examine whether we can use our relaxed extended reduction algorithm in order to speed up Gröbner basis computations.. We will restrict ourself to

For non finite state languages, the set of congruence classes will be infinite, and thus we cannot have a finite fiducial set for the set of all strings in Sub(L), but we can have

Indeed, in Escherichia coli, resistance to nonbiocidal antibio fi lm polysaccharides is rare and requires numerous mutations that signi fi cantly alter the surface

In this case the two positive integers |y| and |y − 1| are consecutive, therefore they are relatively prime. If the product of two relatively prime integers is a square, then each