In this paper we address the synthesis and design of chemical processes using Chemical Modular Process Simulators – that include state of the art modelsincluding discontinuous cost and sizing equations. Equations are divided into ‘implicit’ ones which include all the equations in the process simulators with an input-output black box structure, and other third party equations (i.e. sizing and co...

The quantum mechanical wave-particle dualism is analyzed and criticized, in the framework of Reichenbach’s concepts of phenomenon and interphenomenon. It is suggested that the dual pictures be de-emphasized in the study of quantum theory, and that a qualitative picture of atomic processes need not make use of them. In this connection we stress a view of the electron and other such “particles” a...

We introduce new Monte Carlo simulation schemes for diffusions in a discontinuous media divided in subdomains with piecewise constant diffusivity. These schemes are higher order extensions of the usual schemes and take into account the two dimensional aspects of the diffusion at the interface between subdomains. This is achieved using either stochastic processes techniques or an approach based ...

This paper provides a new version of the condition of Di Nunno et al. (2003), Ankirchner and Imkeller (2005) and Biagini and Øksendal (2005) ensuring the semimartingale property for a large class of continuous stochastic processes. Unlike our predecessors, we base our modeling framework on the concept of portfolio proportions which yields a short self-contained proof of the main theorem, as wel...

We consider a multi-phase random regression model, discontinuous in each changepoint, with an arbitrary error ε. In the case that the number of jumps is known, the M-estimator for the locations of the jumps and for the coefficient parameters are studied. These estimators are consistent and the distribution for the estimators of the coefficients is Gaussian. The estimators of the change-points c...

Many ecologists believe that fragmenting habitats into discontinuous patches disrupts the reproduction, survivorship and movement of animals. It has seldom, however, been possible to measure all these processes in one study. Recent work by Lesley and Michael Brooker on an Australian songbird, the blue-breasted fairy wren Malurus pulcherrimus, has achieved this elusive goal. Their new paper in W...

Here, we present a survey concerning parabolic free boundary problems involving a discontinuous hysteresis operator. Such problems describe biological and chemical processes 'with memory' in which various substances interact according to hysteresis law. Our main objective is to discuss the structure of the free boundaries and the properties of the so-called 'strong solutions' belonging to the a...

Based on insights from research in information systems, information science, business strategy and organization science, this paper develops the bases for advancing the paradigm of AI and expert systems technologies to account for two related issues: (a) dynamic radical discontinuous change impacting organizational performance; and (b) human sense-making processes that can complement the machin...

in this article, we propose an adaptive grid based on mesh equidistribution principle for two-parameter convection-diffusion boundary value problems with continuous and discontinuous data. a numerical algorithm based on an upwind finite difference operator and an appropriate adaptive grid is constructed. truncation errors are derived for both continuous and discontinuous problems. parameter uni...

What are the memory processes that produce coherent representations of temporally discontinuous experiences? In this article, we describe the memory process of resonance, a process that provides renewed access to long-term memory information that is relevant to cues in working memory. Our experiments demonstrate c parallel waxing and waning of information as a function of relevance to a current...