A brief review of some selected topics in p-adic mathematical physics is presented. 1 Numbers: Rational, Real, p-Adic We present a brief review of some selected topics in p-adic mathematical physics. More details can be found in the references below and the other references are mainly contained therein. We hope that this brief introduction to some aspects of p-adic mathematical physics could be...

The Mulatu numbers were studied [1] and [2]. are sequences of the form: 4, 5,6,11,17,28,45...The have wonderful amazing properties patterns.In mathematical terms, sequence is defined by following recurrence relation: In [2] some patterns considered. this paper, we investigate additionalproperties these fascinating numbers. Many beautiful identities involving Mulatunumbers in relation with Fibon...

The First Hilbert problem is studied in the paper by applying two instruments: a new methodology distinguishing in mathematical objects and mathematical languages used to describe these objects; and a new numeral system allowing one to express different infinite numbers and to use these numbers for measuring infinite sets. Several counting systems are taken into consideration. It is emphasized ...

We analyse the steady-state behaviour of two different models with collaborating queues: that is, models in which " customers " can be served by many types of " servers " , and " servers " can process many types of " customers ". The first example is a large-scale service system, such as a call centre. Collaboration is the result of cross-trained staff attending to several different types of in...

Fuzzy numbers are fuzzy subsets of the set of real numbers satisfying some additional conditions. Fuzzy numbers allow us to model very difficult uncertainties in a very easy way. Arithmetic operations on fuzzy numbers have also been developed, and are based mainly on the crucial Extension Principle. When operating with fuzzy numbers, the results of our calculations strongly depend on the shape ...

In this paper, a dynamic model is presented to describe the behavior of glucose concentration, Saccharomyces, and ethanol concentration during batch fermentation process. The desired product of batch alcohol fermentation is ethanol. The form of this mathematical model is nonlinear differential equation systems. The equilibrium point stability of the dynamic model is discussed. Further, simulati...

This paper is proposed to investigate procedures which can deal with graphic formalize of numeric data relating to climatic and environmental conditions. In a scientific domain characterised by prevalence of mathematical models and statistical surveys, the possibility of making images as such becomes an additional tool for morphological research of architectural solutions influenced by environm...

With the I-type plastic extrusion die for example, the advantages and disadvantages between the traditional design method and optimization design method were compared. The design was studied via finite element numeric analysis combined with optimization, whose objective was the equal average flow velocity of each sub-field of profile cross section at extrusion die. And the optimization design w...

In this chapter, we review research on computational approaches to scientific discovery, starting with early work on induction of numeric laws before turning to construction of models that explain observations in terms of domain knowledge. We focus especially on inductive process modeling, which involves finding a set of linked differential equations, organized into processes, that reproduce an...