By Vittorio Capecchi (auth.), Vittorio Capecchi, Massimo Buscema, Pierluigi Contucci, Bruno D'Amore (eds.)
This ebook is determined up in a non-traditional means, but it takes a scientific method. There are 4 elements. the 1st half is ancient and offers with the alterations that experience taken position in recent times within the courting among arithmetic and sociology: an research is made up of Paul F. Lazarsfeld’s mathematical types, versions of simulation and synthetic societies, and types of synthetic neural networks. the second one half compares and contrasts mathematical types that come from physics and linguistics and people who come from sociology and economics. The 3rd half analyzes types of synthetic neural networks intimately. the ultimate half examines the connection among arithmetic and the arts.
The e-book might be of curiosity to each person curious about the appliance of arithmetic to the social sciences and using technological strategies to enhance the standard of existence, and their distribution one of the numerous artistic arts.
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Extra resources for Applications of Mathematics in Models, Artificial Neural Networks and Arts: Mathematics and Society
Randall Collins uses a geopolitical model for his predictions. As Coleman has noted (1995, p. 1618), “there is no attempt to characterise, predict, or explain the action of those who initiate a revolt or those who support the revolutionaries, despite the fact that it is their actions that constitute the revolution” (without taking into account the gender of those who begin the revolution). Despite the obvious omissions in this model, in 1980, Collins predicted that the USSR would have disappeared “within 30–50 years”.
Women’s privilege in this respect is due to the fact that their sensitivity is more primitive and not very developed (. ) She has less needs and is happy with what she has. Provide an old woman with a devotional practice, a pet to take care of and she is happy.
Logic for sociological theory Mathematics (M)/Sociology (S) S→M→S 2. Mathematics for S→M→S the relation between individual and collective properties 3. Mathematics for S→M→S less visible relations 4. Mathematics for M→S→M the social S→M→S sciences 5. Mathematical models S→M→S M→S→M Types of problems Types of solutions – Typologies – Sociological explanation – Micro/macro relation – Prevision – Reduction and reconstruction of a property space – Reduction without/with mathematical models – Sociological explanation at different levels of probability – Coleman’s boat – Contingent prediction – Models to link individual level and territorial unit level – Goodman’s method to analyse electoral flux with ecological data – Ecological fallacies and individual fallacies (selective, contextual, cross-level) – Interaction between individual level and territorial unit level – Less visible relations in Coleman’s boat: M→m m→m m’→M – Mathematics for dichotomous variables – Mathematics for graphs – Mathematics for games and decisions – Mathematics to find order and beauty in chaos – Mathematics for fuzzy variables – Statistical models/simulation models – Models of processes/models of structure/rational choice models, agent-based models – Analysis of cross-pressures – Analysis of deviant cases – Analysis of unexpected effects – PFL’s algebra of dichotomous variables – Flament’s graph theory – Luce and Raiffa’s theory of games and decisions – Mandelbrot’s fractals – Zadeh’s fuzzy logic – Linear causal models – Latent structure analysis – Factor models – Log-linear models – System dynamics and world models – Event- or agent-based models and places the apparent continuity of history may be decomposed into distinct and separable events, events both small and great, which consist of questions followed by solutions’ (1903, p.