Results 191 to 200 of about 227,283 (241)

Mathematical insight through system dynamics

Transactions of the Institute of Measurement and Control, 1989
This paper considers how the precise world of mathematics is applied to fuzzy ambiguous real-life problems. System dynamics modelling for novice modellers is described, and a comparison made with mathematical modelling, using a simple physics problem as an example. The special place of time in modelling is examined.
Donald E. Prior, Alfredo O. Moscardini
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Mathematical simulation of Earth system dynamics

Izvestiya, Atmospheric and Oceanic Physics, 2015
The mathematical simulation of the Earth system, the dynamics of which depends on physical, chemical, biological, and other processes and which requires interdisciplinary approaches to studying this problem, is considered. The term “the Earth system” extends the concept “the climatic system,” since additional geospheres (lithosphere, heliosphere, etc.)
V. P. Dymnikov, V. N. Lykosov, E. M. Volodin   +2 more
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Mathematical Introduction to Dynamical Systems

2015
In this chapter, we present in the simplest possible manner a survey of some of the fundamental mathematical concepts and tools which are required for the qualitative analysis of the long-term behaviour of dynamical systems. A knowledge of the theory of linear differential equations is a pre-requisite for the comprehension of non-linear dynamics.
John Argyris, Gunter Faust, Maria Haase, Rudolf Friedrich   +3 more
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Mathematical Description of Linear Dynamical Systems

Journal of the Society for Industrial and Applied Mathematics Series A Control, 1963
There are two different ways of describing uynamicu systems: (i) bymeans of state variables and (ii) by input/output relations. The first method may be regarded as an axiornatization of Newton’s laws of mechanics and is taken to be the basic definition of a system.It is then shown (in the linear case) that the input/output relations determine only one ...
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Mathematical Dynamical Systems and Computational Systems

1997
The main thesis of this chapter is that a dynamical viewpoint allows us to better understand some important foundational issues of computation theory. Effective procedures are traditionally studied from two different but complementary points of view.
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Sinai’s Dynamical System Perspective on Mathematical Fluid Dynamics

2019
We review some of the most remarkable results obtained by Ya.G. Sinai and collaborators on the difficult problems arising in the theory of the Navier–Stokes equations and related models. The survey is not exhaustive, and it omits important results, such as those related to “Burgers turbulence”.
Carlo Boldrighini, Dong Li
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Dynamical Systems and Mathematical Economics

1986
The modern mathematical economics literature is permeated with dynamics. This starts with a simple tatonnement story of how prices adjust according to supply and demand, and it continues with the more sophisticated price adjustment models which involve speculation, etc.
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Stimulating Mathematical Interest with Dynamical Systems

The Mathematics Teacher, 1996
Suppose that you have just been hired by the State Fish and Game Department. The management is considering opening a remote lake for fishing and wants to know if preliminary stocking should be done.
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Mathematical Aspects of Dynamic Systems

1991
Mathematics is the handmaiden of modern sciences. Many of today’s profound insights into nature could hardly be obtained from the sciences without the help of mathematics. On the other hand, mathematics has its own life. The works of Newton, Leibnitz and von Neumann provide good examples of interactions between mathematics and the sciences.
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Dynamics of Information Systems: Mathematical Foundations

2012
This book presents recent developments and results found by participants of the Third International Conference on the Dynamics of Information Systems, which took place at the University of Florida, Gainesville FL, USA on February 16-18, 2011. The purpose of this conference was to bring together scientists and engineers from industry, government, and ...
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