It is shown that K|ω1 need not be solid in the sense of [FS]: It is consistent that there is no inner model with a Woodin cardinal yet there is an inner model W and a Cohen real x over W such that K|ω1 ∈ W [x] \ W . However, if 0¶ does not exist and κ ≥ ω2 is a cardinal, then K|κ is solid. We draw the conclusion that solidity is not forcing absolute in general, and that under the assumption of ...

The present paper addresses the problem of attainment of the supremums in various equivalent definitions of hereditary density hd and hereditary Lindelöf degree hL of Boolean algebras. We partially answer two problems of J. Donald Monk, [13, Problems 50, 54], showing consistency of different attainment behaviour and proving that (for the considered variants) this is the best result we can expec...

It is well known that in applied and computational mathematics, cardinal B-splines play an important role in geometric modeling (in computeraided geometric design), statistical data representation (or modeling), solution of differential equations (in numerical analysis), and so forth. More recently, in the development of wavelet analysis, cardinal B-splines also serve as a canonical example of ...

Proteins possessing the caspase recruitment domain (CARD) motif have been implicated in pathways leading to activation of caspases or NF-kappaB in the context of apoptosis or inflammation, respectively. Here we report the identification of a novel protein, CARDINAL, that contains a CARD motif and also exhibits a high degree of homology to the C terminus of DEFCAP/NAC, a recently described membe...

this paper presents an approach for solving a nonlinear stochastic differential equations (nsdes) using a new basis functions (nbfs). these functions and their operational matrices areused for representing matrix form of the nbfs. with using this method in combination with the collocation method, the nsdes are reduced a stochastic nonlinear system of equations and unknowns. then, the error anal...

The parabolic partial differential equation arises in many application of technologies. In this paper, we propose an approximate method for solution of the heat and advection-diffusion equations using Laguerre-Gaussians radial basis functions (LG-RBFs). The results of numerical experiments are compared with the other radial basis functions and the results of other schemes to confirm the validit...

Estimates of various cardinal functions defined on a hyperspace equipped with the locally finite topology are given. The locally finite topology on a hyperspace is the natural generalization of the well-known Vietoris or finite topology. Recently some authors (see [1 and 9]) have investigated its properties finding interesting relationships with the Hausdorff metric topology, when the base spac...