This contribution presents development and trends of simulation software. The paper first follows the roots from analog computation to the introduction of the CSSL standard for simulation languages. The following chapter on numerical algorithms introduces the first extensions to CSSL by implicit model equations, and by discrete modelling. Then, time and state event structures are discussed in c...

Countable projective limits of countable inductive limits, so-called PLB-spaces, of weighted Banach spaces of continuous functions have recently been investigated by Agethen, Bierstedt and Bonet, who analyzed locally convex properties in terms of the defining double sequence of weights. We complement their results by considering a defining sequence which is the product of two single sequences. ...

Rayleigh distribution is one of the well-known continuous distribution developed by Lord Rayleigh and J.W. Strutt (1880, 1919) used in modeling lifetime data. A reciprocal transformation of Rayleigh variable generates inverse Rayleigh distribution derived by Voda (1972) which is also being used in lifetime experiments. While keeping in mind the famous of Rayleigh and inverse Rayleigh distributi...

This paper models competing mechanism games as extensive games where the extensive form is incompletely understood by a modeler, typically because the modeler doesn’t see all the messages that are being exchanged and doesn’t understand all the contracts that can be enforced. For this reason, the revelation principle can’t be used to characterize supportable outcomes. The paper provides a relati...

We extend a reciprocity theorem of Stanley about enumeration of integer points in polyhedral cones when one exchanges strict and weak inequalities. The proof highlights the roles played by Cohen–Macaulayness and canonical modules. The extension raises the issue of whether a Cohen–Macaulay complex of dimension d embedded piecewise-linearly in R is necessarily a d-ball. This is observed to be tru...

The emergence of divergent economic activities in the context developing economies characterised by institutional voids and market failure is a result changes environment arrangements. This study provides an inter-temporal framework for understanding activities, change, path dependence, spatial resilience mediated continuous reciprocal interactions between agents (formal informal) at micro-leve...

At Millenium’s end we are in transition between models of the brain. The classical, static model of unidirectional information flow through a vertically organized network has repeatedly been recognized as simplistic and unphysiological. I propose that a foundation exists for it to be replaced in the new millenium by a dynamic model based on horizontally organized continuous reciprocal interacti...

1. Dreams are wish fulfillment. Alternatively, following Freud, dreams are the guardian of sleep. 2. Dreams are an attempt at problem solving. This has been particularly elaborated by French. 3. Dreams are a manifestation of certain psychological processes of which the dreamer is totally unaware; that is, dreams spring from the unconscious. 4. The content of dreams is continuous with the conten...