In this article, mathematical modeling is characterized as a crucial instrument for sustainable development.To ensure prosperity present generations well future ones, development aims to strike balance between human requirements in these three areas.To solve the problems our planet experiencing, science used.To comprehend, anticipate, and manage process, might be helpful.For seeing comprehendin...

Mathematical modeling occupies an unusual space in the undergraduate mathematics curriculum: typically an “advanced” course, it nonetheless has little to do with formal proof, the usual hallmark of advanced mathematics. Mathematics departments are thus forced to decide what role they want the modeling course to play, both as a component of the mathematics major and as a course with potential cr...

The Gaussian plume model is a standard approach for studying the transport of airborne contaminants due to turbulent diffusion and advection by the wind. This paper reviews the assumptions underlying the model, its derivation from the advection-diffusion equation, and the key properties of the plume solution. The results are then applied to solving an inverse problem in which emission source ra...

In order to curb the spread of the worm in the network system, Expand worm containment methods from the point of view of the management system vulnerabilities. First comprehensive exposition Internet worm containment technology research progress ; then dissect initiative to curb the technical principles and given technology based initiative to curb centralized confrontation strategy , and final...

Cognitive tools are instruments integrated into a learning environment to provide representational support to learners and allow them to focus on the subject matter (van Jooligan, 1999). On the other hand of the scope user modeling started-off as a supporting module to Intelligent Tutoring System allowing them to adapt themselves to student progress. This paper presents a cognitive tool that su...

A question of major importance in the auto industry concerns the modeling and improved design of vehicle tires. Tire performance affects the handling performance of the automobile. Many of the variables on which tire performance depends can be calculated from the load and deflection of the spindle in the suspension system for each wheel. The question of tire performance thus becomes a question ...

Modeling and Computation of Random Thermal Fluctuations and Material Defects in the Ginzburg–Landau Model for Superconductivity Jennifer Deang,∗,1 Qiang Du,† and Max D. Gunzburger‡ ∗Department of Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24060-0123; †Department of Mathematics, Pennsylvania State University, University Park, Pennsylvania 16802; and ‡D...

Jyh-Bin Ke is an Associate Professor of Applied Mathematics at National Chung-Hsing University, Taiwan. He received his MS and Ph.D. in Civil Engineering from the University of California, Berkeley, USA. His areas of research include queuing theory, reliability and stochastic modeling. His publications appeared in Computers and Operational Research, Applied Mathematical Modeling, Mathematical M...

1 Department of Mathematics, University of Amsterdam, Amsterdam, The Netherlands; 2 Modeling, Analysis and Simulation, Centrum voor Wiskunde en Informatica, Amsterdam, The Netherlands; 3 Department of Chemical Engineering, Princeton University, Princeton, NJ 08544; 4 NEC Laboratories USA, retired; 5 Department of Mathematics and Center for BioDynamics, Boston University, Boston, MA 02215; 6 Pro...

RM-ODP is about modeling, and mathematics is one of the oldest, and deserved, modeling disciplines. Experience accumulated in mathematics in general, and some of machineries developed, may well turn out to be relevant for arranging/organizing/ formalizing the concepts managed in RM-ODP. Especially promising here is mathematical category theory that is nothing but a discipline and framework for ...