## General system theory: foundations, development, applications |

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Page 20

Sets of simultaneous

system are, if linear, tiresome to solve even in the case of a few variables; if

nonlinear, they are unsolvable except in special cases (Table 1.1). Table 1.1

Classification ...

Sets of simultaneous

**differential equations**as a way to "model" or define asystem are, if linear, tiresome to solve even in the case of a few variables; if

nonlinear, they are unsolvable except in special cases (Table 1.1). Table 1.1

Classification ...

Page 56

For illustration, we choose a system of simultaneous

Denoting some measure of elements, pi (i = 1, 2, . . . n), by Qf, these, for a finite

number of elements and in the simplest case, will be of the form: ^2 =/*(&, &,..•&) ...

For illustration, we choose a system of simultaneous

**differential equations**.Denoting some measure of elements, pi (i = 1, 2, . . . n), by Qf, these, for a finite

number of elements and in the simplest case, will be of the form: ^2 =/*(&, &,..•&) ...

Page 127

In general, we therefore have a set of simultaneous partial

P, as well as Tt will, in general, be nonlinear functions of Qt and other system

variables Qj and furthermore functions of the space coordinates x, y, z and time t.

In general, we therefore have a set of simultaneous partial

**differential equations**.P, as well as Tt will, in general, be nonlinear functions of Qt and other system

variables Qj and furthermore functions of the space coordinates x, y, z and time t.

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### Contents

Introduction | 3 |

The Meaning of General System Theory | 30 |

Some System Concepts in Elementary Mathematical | 54 |

Copyright | |

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allometric animals appears applied approach aspects atoms basic Bertalanffy biological catabolism causality cell characteristics chemical classical classical physics closed systems complex components consideration considered constant contrast cultural cybernetics defined differential equations dynamic elements emphasized energy entities entropy equifinality equilibrium essentially evolution example existence experience expressed fact feedback fields formulation function game theory graph theory growth curves homeostasis homeostatic important increase individual information theory interaction isomorphic kinetics language laws living organism Lotka Ludwig von Bertalanffy machine mathematical means mechanisms mechanistic mental metabolic rate modern nature nervous system open systems organismic phenomena philosophy physics physiological possible present principle problems processes protein psychology psychophysical quantitative reaction reality regulations relations scheme schizophrenia scientific sense servomechanisms similar so-called social sciences society sociology specific steady structure symbolic system theory teleology theoretical theory of open thermodynamics tion vitalistic Volterra whole world picture