In this paper, we interpret a fuzzy differential equation by using the strongly generalized differentiability concept. Utilizing the Generalized characterization Theorem. Then a novel hybrid method based on learning algorithm of fuzzy neural network for the solution of differential equation with fuzzy initial value is presented. Here neural network is considered as a part of large eld called ne...

A two dimensional generalized thermoelastic problem of a thick circular plate of finite thickness and infinite extent subjected to continuous axisymmetric heat supply and an internal heat generation is studied within the context of generalized thermoelasticity. Unified system of equations for classical coupled thermoelasticity, Lord-Shulman and Green-Lindsay theory is considered. An exact solut...

Proposing a certain notion of logical completeness as a novel quality criterion for ontologies, we identify and characterise a class of logical propositions which naturally extend domain and range restrictions commonly known from diverse ontology modelling approaches. We argue for the intuitivity of this kind of axioms and show that they fit equally well into formalisms based on rules as well a...

In this paper we state and explain techniques useful for the computation of strong Gröbner standard bases over Euclidean domains: First investigate several strategies creating pair set using an idea by Lichtblau. Then methods avoiding coefficient growth syzygies. We give in-depth discussion on normal form resp. a generalized reduction process with many optimizations to further avoid large coeff...

In this article we study the pair correlation statistic for higher dimensional sequences. We show that any d≥2, strictly increasing sequences (an(1)),…,(an(d)) of natural numbers have metric Poissonian with respect to sup-norm if their joint additive energy is O(N3−δ) δ>0. Further, in dimension two, establish an analogous result 2-norm. As a consequence, it follows ({nα},{n2β}) and ({nα},{[nlog...

In this paper we examine the applicability of the previously proposed Greatest Common Divisor GCD method to blind image deconvolution In this method the desired image is approximated as the GCD of the two dimensional polynomials corresponding to the z transforms of two or more distorted and noisy versions of the same scene assuming that the distortion lters are FIR and relatively co prime We ju...

Fundamental solutions of dynamic poroelasticity and generalized thermoelasticity are derived in the Laplace transform domain. For poroelasticity, these solutions define the solid displacement field and the fluid pressure in fluid-saturated media due to a point force in the solid and an injection of fluid in the pores. In addition, approximate fundamental solutions for short times are derived by...