Theory of Similarity and Simulation, with Applications ... PDF Download

Author: Valentin Andreevich Venikov
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Author: Michael Weisberg
Publisher: OUP USA
ISBN: 0199933669
Category : Science
Languages : en
Pages : 211

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This book is an account of modeling and idealization in modern scientific practice, focusing on concrete, mathematical, and computational models. The main topics of this book are the nature of models, the practice of modeling, and the nature of the relationship between models and real-world phenomena. In order to elucidate the model/world relationship, Weisberg develops a novel account of similarity called weighted feature matching.

Author: Valentin Andreevich Venikov
Publisher:
ISBN:
Category : Electrical engineering
Languages : en
Pages : 494

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Author: V. A. Venikov
Publisher: Little Brown and Company (UK)
ISBN:
Category : Technology & Engineering
Languages : en
Pages : 520

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Author: Josef Kuneš
Publisher: Springer Science & Business Media
ISBN: 1907343776
Category : Mathematics
Languages : en
Pages : 451

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Book Description
The present text sets itself in relief to other titles on the subject in that it addresses the means and methodologies versus a narrow specific-task oriented approach. Concepts and their developments which evolved to meet the changing needs of applications are addressed. This approach provides the reader with a general tool-box to apply to their specific needs. Two important tools are presented: dimensional analysis and the similarity analysis methods. The fundamental point of view, enabling one to sort all models, is that of information flux between a model and an original expressed by the similarity and abstraction Each chapter includes original examples and applications. In this respect, the models can be divided into several groups. The following models are dealt with separately by chapter; mathematical and physical models, physical analogues, deterministic, stochastic, and cybernetic computer models. The mathematical models are divided into asymptotic and phenomenological models. The phenomenological models, which can also be called experimental, are usually the result of an experiment on an complex object or process. The variable dimensionless quantities contain information about the real state of boundary conditions, parameter (non-linearity) changes, and other factors. With satisfactory measurement accuracy and experimental strategy, such models are highly credible and can be used, for example in control systems.

Author:
Publisher:
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Category :
Languages : en
Pages :

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Dimensional analysis, similarity, analogy, and cybernetics are shown to be four consecutive steps in application of the simulation theory. This paper introduces the classes of phenomena which follow the same formal mathematical equations as models of the natural laws and the interior sphere of restraints groups of phenomena in which one can introduce simplfied nondimensional mathematical equations. The simulation by similarity in a specific field of physics, by analogy in two or more different fields of physics, and by cybernetics in nature in two or more fields of mathematics, physics, biology, economics, politics, sociology, etc., appears as a unique theory which permits one to transport the results of experiments from the models, convenably selected to meet the conditions of researches, constructions, and measurements in the laboratories to the originals which are the primary objectives of the researches. Some interesting conclusions which cannot be avoided in the use of simplified nondimensional mathematical equations as models of natural laws are presented. Interesting limitations on the use of simulation theory based on assumed simplifications are recognized. This paper shows as necessary, in scientific research, that one write mathematical models of general laws which will be applied to nature in its entirety. The paper proposes the extent of the second law of thermodynamics as the generalized law of entropy to model life and its activities. This paper shows that the physical studies and philosophical interpretations of phenomena and natural laws cannot be separated in scientific work; they are interconnected and one cannot be put above the others.

Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 27

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Author: Jean Baudrillard
Publisher: University of Michigan Press
ISBN: 9780472065219
Category : Art
Languages : en
Pages : 174

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Develops a theory of contemporary culture that relies on displacing economic notions of cultural production with notions of cultural expenditure. This book represents an effort to rethink cultural theory from the perspective of a concept of cultural materialism, one that radically redefines postmodern formulations of the body.

Author: I. Borg
Publisher: Springer Science & Business Media
ISBN: 1461247683
Category : Mathematics
Languages : en
Pages : 402

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Book Description
Multidimensional Similarity Structure Analysis comprises a class of models that represent similarity among entities (for example, variables, items, objects, persons, etc.) in multidimensional space to permit one to grasp more easily the interrelations and patterns present in the data. The book is oriented to both researchers who have little or no previous exposure to data scaling and have no more than a high school background in mathematics and to investigators who would like to extend their analyses in the direction of hypothesis and theory testing or to more intimately understand these analytic procedures. The book is repleted with examples and illustrations of the various techniques drawn largely, but not restrictively, from the social sciences, with a heavy emphasis on the concrete, geometric or spatial aspect of the data representations.

Author: A. A. Gukhman
Publisher: Academic Press
ISBN: 9780123054500
Category : Dimensional analysis
Languages : en
Pages : 256

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