The lattice of closed subsets of a set under such a closure operator is semimodular. Perhaps the best known example of a closure operator satisfying the exchange principle is the closure operator on a vector space W where for X ___ W we let C(X) equal the span of X. The lattice of C-closed subsets of W is isomorphic to Con(W) in a natural way; indeed, if Y _~ W x W and Cg(Y) denotes the congrue...

The maximum entropy principle can be used to assign utility values when only partial information is available about the decision maker’s preferences. In order to obtain such utility values it is necessary to establish an analogy between probability and utility through the notion of a utility density function. In this paper we explore the maximum entropy principle to estimate the utility functio...

Despite a common agreement on the necessity of the application of the separation of concerns (SOC) principle, there is not yet a consensus for its key issues. The separation of the concerns is usually based on the adopted programming paradigm, the applied method or even the programming language. This paper presents the so-called six ‘C’ properties that can be applied as a guideline for defining...

I raise four issues that militate against adopting virtue ethics as a guiding concept: (a) In the resolution of most ethics cases, virtue ethics is irrelevant; (b) there is substantial redundancy between virtue and principle ethics; (c) acting and deciding are unavoidable tasks for which principle ethics is particularly suitable; and (d) the emphasis on character and community wisdom increases ...

A recent study questioned the adherence of children with Autism Spectrum Disorders (ASD) to a linguistic constraint on the use of reflexive pronouns (Principle A) in sentences like Bart's dad is touching himself. This led researchers to question whether children with ASD are able to compute the hierarchical structural relationship of c-command, and raised the possibility that the children rely ...

a research group involved in the research project \New Information Processing System on Massively Parallel Processing Principle" in the Grant-in-Aid for Scienti c Research on Priority Areas of the Ministry of Education, Science and Culture, Japan. The objective of the research is the following two points according to the top level research objective of our Massively Parallel Processing Principl...

In this letter, we investigate a possible modification to the temperature and entropy of 5−dimensional Schwarzschild anti de Sitter black holes due to incorporating stringy corrections to the modified uncertainty principle. Then we subsequently argue for corrections to the Cardy-Verlinde formula in order to account for the corrected entropy. Then we show, one can taking into account the general...

In this paper, an optimal singular stochastic control problem is considered. The state process is described by a non linear stochastic differential equation. The variation of the control variable is bounded. For this model, it is obtained a general stochastic maximum principle by using a time transformation. This is the first version of the stochastic maximum principle that covers nonlinear cas...