The paper proposes a new concept of solution for TU games, called multicoalitional solution, which makes sense in the context of production games, that is, where v(S) is the production or income per unit of time. By contrast to classical solutions where elements of the solution are payoff vectors, multicoalitional solutions give in addition an allocation time to each coalition, which permits to...

this paper is concerned with the study of the existence of positive solutions for a navier boundaryvalue problem involving the p-biharmonic operator; the right hand side of problem is a nonsmoothfunctional with variable parameters. the existence of at least three positive solutions is establishedby using nonsmooth version of a three critical points theorem for discontinuous functions. our resul...

In this study, alkaline colloidal silica was prepared by titration of an alkaline solution such as sodium silicate with silicic acid in constant range of pH  .This constant range of pH was achieved by using concentrated soduim silicate solutions as pH adjusting solutions during titration.The sodium silicate solutions  having a variety of...

would be a square. One could factor this into primes in Z to see that it is not a square, or hope that it is not a square modulo some relatively small prime. Indeed, modulo 11 it is 2, which is not a square modulo 11 (by brute force, or by Euler’s criterion (using the cyclicness of (Z/11)×) 2(11−1)/2 = −1 mod 11, or by recalling the part of Quadratic Reciprocity that asserts that 2 is a square ...

s the change from the rest of the organizations. This modular design approach also allows worldwide engineering teams to focus on core components in their area of expertise. It is common to have engineering teams certifying BladeCenter components in different countries, thus enabling the FSI firm to leverage key skills in the company to further maximize time to market of new business applicatio...