As the first step in the direction of the Hopf conjecture on the non-existence of metrics with positive sectional curvature on S2 × S2 the authors of [GT] suggested the following (Weak Hopf) conjecture (on the rigidity of non-negatively curved metrics on S2 × R3): ”The boundary S2 × S2 of the S2 × B3 ⊂ S2 × R3 with an arbitrary complete metric of non-negative sectional curvature contains a poin...

The essentially Σ1 formulae of ΣL are exactly those which are provably equivalent to a disjunction of conjunctions of 2 and Σ1 formulae.

Abstract We report on results from GBT/ARGUS 12 CO(1-0) observations for the giant low surface brightness galaxy Malin 1, which allow us to determine an upper limit its CO mass, and hence molecular gas mass density Σ</mml:mi...

We describe the dynamics of a relativistic extended object in terms of the geometry of a configuration of constant time. This involves an adaptation of the ADM formulation of canonical general relativity. We apply the formalism to the hamiltonian formulation of a Dirac-Nambu-Goto [DNG] relativistic extended object in an arbitrary background spacetime. The mechanics of relativistic extended obje...

The paper deals with construction of exact confidence intervals for the variance component σ 1 and ratio θ of variance components σ 1 and σ in mixed linear models for the family of normal distributions Nt (0, σ 2 1 W + σ2It). This problem essentially depends on algebraic structure of the covariance matrix W (see Gnot and Michalski, 1994, Michalski and Zmyślony, 1996). In the paper we give two c...

As a tumor suppressor gene, 14-3-3 σ has been reported to be frequently methylated in breast cancer. However, the clinical effect of 14-3-3 σ promoter methylation remains to be verified. This study was performed to assess the clinicopathological significance and diagnostic value of 14-3-3 σ promoter methylation in breast cancer. 14-3-3 σ promoter methylation was found to be notably higher in br...

porous silicon samples were prepared by electrochemical etching method for different etching times. the structural properties of porous silicon (ps) samples were determined from the atomic force microscopy (afm) measurements. the surface mean root square roughness (σ rms) changes as function of porosity were studied, and the influence of etching time on porosity and roughness was studied too. u...

A signed graph is a graph where the edges are assigned either positive ornegative signs. Net degree of a signed graph is the dierence between the number ofpositive and negative edges incident with a vertex. It is said to be net-regular if all itsvertices have the same net-degree. Laplacian energy of a signed graph is defined asε(L(Σ)) =|γ_1-(2m)/n|+...+|γ_n-(2m)/n| where γ_1,...,γ_n are the ei...

In this paper we introduce the transformed two-parameter Poisson–Dirichlet distribution σθ,α on the ordered infinite simplex. Furthermore, we prove the central limit theorem related to this distribution when both the mutation rate θ and the selection rate σ become large in a specified manner. As a consequence, we find that the properly scaled homozygosities have asymptotical normal behavior. In...