A new monotonicity principle and an L stability theorem are es tablished for a discrete obstacle problem which is de ned by a piece wise linear nite element discretization of a continuous problem This discrete monotonicity principle extends the discrete maximum princi ple of Ciarlet from linear equations to obstacle problems As an application of the monotonicity principle and the L stability th...

A system to be developed is expected to provide solution of a problem. After a careful identification of domains, an explicit, precise and well-engineered description is essential to develop an accurate solution providing system. Machine domain is formal while problem domain is informal. Description is like a platform for the developers to start and finish the development activities. Four princ...

In this paper, I consider some issues involving a certain closure principle for Structural Justification, a relation between a cognitive subject and a proposition that’s expressed by locutions like ‘S has a source of justification for p’ and ‘p is justifiable for S’. I begin by summarizing recent work by Peter Klein that advances the thesis that the indicated closure principle is plausible but ...

An extract of henna (Lawsonia inermia) was found to be active in vitroagainst gram (+) and gram (-) bacteria including Bacillus anthracis, B.cereus, B. subtilis, Enterobacter aerugenes,Escherichia coli 0128-B7, E.coli 055-B5, E. coliO127-B8, Proteus mirabilis, P. vulgaris, Pseudomonas aeruginosa Salmonella typhosa, S.paratyphi, Sarcina sp. Shigella dysenteriae type 1, S. dysenteriae type 7,...

Hawking temperature is computed for a large class of black holes (with spherical, toroidal and hyperboloidal topologies) using only laws of classical physics plus the ”classical” Heisenberg Uncertainty Principle. This principle is shown to be fully sufficient to get the result, and there is no need to this scope of a Generalized Uncertainty Principle. PACS numbers: 04.70.-s, 04.70.Dy, 03.65.Ta

Tags for today's lecture: Donsker's invariance priciple, Stochastic integration, Itô's formula In this lecture we show an application of Donsker's invariance principle and then proceed to the construction of Itô's stochastic integral. We recall the definitions and give a simple example of an application of the invariance principle. Consider a random walk S n = Σ n i=1 x i with E(x) = 0, E(x 2) ...

The cosmic holographic principle suggested by Fischler and Susskind has been examined in (2+1)-dimensional cosmological models. Analogously to the (3+1)-dimensional counterpart, the holographic principle is satisfied in all flat and open universes. For (2+1)-dimensional closed universes the holographic principle cannot be realized in general. The principle cannot be maintained, neither introduc...

of a Laurent series. If Op is the local ring of holomorphic functions around p. Take Mp the field of meromorphic functions around p, a principle part is just an element of the quotient groupMp/Op. The Mittag-Leffler question is, given a discrete set {pn} of points in S and a principle part at pn for each n, does there exist a meromorphic function f on S, holomorphic outside {pn}, whose principl...

This article discusses the concept of information and its intimate relationship with physics. After an introduction of all the necessary quantum mechanical and information theoretical concepts we analyse Landauer’ s principle which states that the erasure of information is inevitably accompanied by the generation of heat. We employ this principle to rederive a number of results in classical and...

In [Fuzzy Sets and Systems 27 (1988) 385-389], M. Grabiec in- troduced a notion of completeness for fuzzy metric spaces (in the sense of Kramosil and Michalek) that successfully used to obtain a fuzzy version of Ba- nachs contraction principle. According to the classical case, one can expect that a compact fuzzy metric space be complete in Grabiecs sense. We show here that this is not the case,...