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Reductionism and Reduction in Logic and in Mathematics
1991The paper is divided into three parts. First I shall talk about reduc-tionism and reduction in general. In the second chapter a historical example of reductionism will be analyzed: the principles of rationalism of the 17th century. In the third chapter different kinds of reductionisms and reductions in modern logic and mathematics will be discussed.
Weingartner Paul
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Mathematical simulation of direct reduction
Metallurgical Transactions B, 1981A finite element analysis is developed for nontopochemical reduction of a porous iron oxide pellet. The reduction kinetics are essentially the same as those used by Trushenski, Li and Philbrook. However, several novel features arise in the present analysis.
K. O. Yu, P. P. Gillis
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Coverage Reduction: A Mathematical Model
Journal of Advanced Manufacturing Systems, 2018This paper deals with a mathematical model for reduction of the lack of coverage (LC) involving multiple coverage in presence of partial covering. The model proposes a new structure of assignment of facilities in a facility location system to cover in greater proportion of the demand territory, avoiding assignment of several facilities in the same ...
Thalía Obredor-Baldovino +4 more
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Reduction of a Mathematical Model for Polymer Crystallization
2004A reduction of a recent model of crystallization is presented. After adimensionalization, we solve it numerically. The temperature field exhibits oscillations and the crystallization process exhibits jumps. In fact, there is an advancing front of crystallization outside which the degree of crystallinity is constant.
V. Capasso, R. Escobedo
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Modal reduction of mathematical models of biological molecules
Journal of Computational Physics, 2005This paper reports a detailed study of modal reduction based on either linear normal mode(LNM) analysis or proper orthogonal decomposition(POD) for modeling a single α-D glucopyranose monomer as well as a chain of monomers. Also a modal reduction method combining POD and component modal synthesis(CMS) is developed.
Li, Aiqin, Dowell, Earl H.
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A Mathematical Foundation for Improved Reduct Generation in Information Systems
Knowledge and Information Systems, 2000When data sets are analyzed, statistical pattern recognition is often used to find the information hidden in the data. Another approach to information discovery is data mining. Data mining is concerned with finding previously undiscovered relationships in data sets.
Janusz A. Starzyk +2 more
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Entropy reduction in mathematical giftedness
2003This paper deals with the elementary analysis of cognitive processes in mathematical problem solving for better diagnostics. The present experiment was designed to analyse the internal process and to localize the neural substrates involved in solving mathematical tasks, using EEG-coherence. The internal process is revealed by a sequence of microstates.
Werner Krause, Frank Heinrich
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Neo-Logicism? An Ontological Reduction of Mathematics to Metaphysics
Erkenntnis, 2000In this article the author sets out and defends a new form of logicism: mathematical objects are reducible to (or just are) the abstract objects of a certain axiomatic, mathematics-free metaphysical theory. According to the author, the traditional form of a logicist thesis is based on what he calls classical reduction: a logic \(L\) is defined by a set
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