We show that for U (1)-symmetric spacetimes on S 3 × R a constant of motion associated with the well known Geroch transformation, a functional K[h ij , π ij ], quadratic in gravitational momenta, is strictly positive in an open subset of the set of all U (1)-symmetric initial data, and therefore not weakly zero. The Mixmaster initial data appear to be on the boundary of that set. We calculate t...

The lattice cell in the i + 1 st row and j + 1 st column of the positive quadrant of the plane is denoted i; j. If is a partition of n + 1 , w e denote by =ij the diagram obtained by removing the cell i; j from the French Ferrers diagram of. We set =ij = det k x pj i y qj be the linear span of the partial derivatives of =ij. The bihomogeneity o f =ij and its alternating nature under the diagona...

The class of countably intersected families of sets is defined. For any such family we define a Banach space not containing l(N). Thus we obtain counterexamples to certain questions related to the heredity problem for W.C.G. Banach spaces. Among them we give a subspace of a W.C.G. Banach space not containing l(N) and not being itself a W.C.G. space. INTRODUCTION In the present paper we deal wit...

The purpose of this paper is to introduce the concepts of semi*-connected spaces, semi*-compact spaces and semi*-Lindelof spaces. We investigate their basic properties. We also discuss their relationship with already existing concepts. Mathematics Subject Classification: 54D05, 54D30.

Classical Assignment Problem (AP) is a well-known topic world-wide. In this problem ij c denotes the cost for assigning the th j job to the th i person. This cost is usually deterministic in nature. But in realistic situations, it may not be practicable to know the precise values of these costs. In such uncertain situations, instead of exact values of costs, if we can evaluate the preferences f...

Histidine pK(a) values were measured in charge-reversal (K78E, K97E, K127E, and K97E/K127E) and charge-neutralization (E10A, E101A, and R35A) mutants of staphylococcal nuclease (SNase) by (1)H-NMR spectroscopy. Energies of interaction between pairs of charges (DeltaG(ij)) were obtained from the shifts in pK(a) values relative to wild-type values. The data describe the distance dependence and sa...

in this paper we will generalize  some of known results on the tight closure of an ideal to the tight closure of an ideal relative to a module .