In this paper the theory of mixtures is used to develop a two-phase model of an avascular tumor, which comprises a solid, cellular, phase and a liquid phase. Mass and momentum balances which are used to derive the governing equations are supplemented by constitutive laws that distinguish the two...

Kolmogorov's very first paper on algorithmic information theory (Kolmogorov, Problemy peredachi infotmatsii 1(1) (1965), 3) was entitled “Three approaches to the definition of the quantity of information”. These three approaches were called and Trying to establish formal connections between...

We introduce a parameter called the of a graph, which is related to Hedetniemi's conjecture. We show that this parameter is equal to the number of factors in a factorization of the graph into a product of multiplicative graphs. Apart from the known multiplicative graphs, no graph is known to...

In this position paper we shall undertake a critical scrutiny of the (DA) paradigm on the basis of experience we gained from working on the bullwhip effect. We had some success with sorting out the complexities of the bullwhip by using fuzzy numbers in the bullwhip models, and we found out that...

The aim of the paper is to prove two DND theorems, that is properties which make sense on both discrete and non discrete space. The first one regards the image, on a compact metric space, of a surjective semicontraction, that is a Lipschitz function with constant less or equal to 1. The second...

Let () denote the Midpoint Rule and () the Trapezoidal Rule for estimating . Then Simpson's Rule = λ() + (1 – λ)(), where . We generalize Simpson's Rule to multiple integrals as follows. Let be some polygonal region in , let , …, denote the vertices of , and let equal the center of mass of...

Advances in sensor technology and computer networks have enabled distributed sensor networks (DSNs) to evolve from small clusters of large sensors to large swarms of micro-sensors, from fixed sensor nodes to mobile nodes, from wired communications to wireless communications, from static network...

By using reduced-order observer-based controllers, explicit state-space realizations of doubly coprime factorizations for general proper systems are derived. The known results for strictly proper systems can be obtained from our factorizations as particular forms. Also, the physical significance...

A cubic tree is a tree in which except for its pendant vertices all of its internal vertices are of degree three. We have explored the embedding of the cubic trees into rectangular grid of minimum size such that the edges are either horizontal or vertical segment. We have also given necessary...