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Towards Limit Computable Mathematics
2002The notion of Limit-Computable Mathematics (LCM) will be introduced. LCM is a fragment of classical mathematics in which the law of excluded middle is restricted to ?20-formulas. We can give an accountable computational interpretation to the proofs of LCM. The computational content of LCM-proofs is given by Gold's limiting recursive functions, which is
Masahiro Nakata, Susumu Hayashi
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Deleuze and the Limits of Mathematical Time
Deleuze Studies, 2008In Creative Evolution, Bergson argues that life, the so-called inner becoming of things, does not develop linearly, in accordance with a geometrical, formal model. For Bergson as for classical science, matter occupies a plane of immanence defined by natural laws.
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A mathematical programming algorithm for limit analysis
Acta Mechanica Sinica, 1991This paper deals with the limit analyses of perfect rigid-plastic continua. Based on the kinematic theorem of the limit analysis theory, a mathematical programming finite element formula for determining the upper bound load multiplier has been established, and an iteration algorithm proposed accordingly.
Zhang Pixin, Lu Mingwan, Hwang Kehchih
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On physical limitations of mathematical constructions used in mathematical models
Pramana, 2019Physical limitations of mathematical constructions are discussed, which should be taken into account in developing or modifying mathematical models. We begin with consideration of the method of describing physical objects using numbers and restrictions followed from this method.
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Mathematical Modeling of Immunosenescence: Scenarios, Processes and Limitations
2009Mathematical modeling of immunosenescence is the new area of research emerging at the interface of the immunology, gerontology, and mathematics. In this paper we outline basic variables important for modeling aging immunity. We discuss the role of evolution in shaping pattern of aging in the immune system of modern humans.
Anatoli I. Yashin+3 more
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The Limits of Text in Greek Mathematics
2005This article argues for a limited role of the text in Greek mathematics, in two senses of “text”: the verbal as opposed to the visual; and the literate as opposed to the “oral” (understood in a wide sense). The Greek mathematical argument proceeds not within the confines of the verbal alone, but essentially relies upon diagrams.
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Mathematical limit theorems for computational creativity
IBM Journal of Research and Development, 2019Creativity is the generation of an idea or artifact judged to be novel and high-quality by a knowledgeable social group, and is often said to be the pinnacle of intelligence. Several computational creativity systems of various designs are now being demonstrated and deployed.
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On Reform Movement and the Limits of Mathematical Discourse
Mathematical Thinking and Learning, 2000In this article, I take a critical look at some popular ideas about teaching mathematics, which are forcefully promoted worldwide by the reform movement. The issue in focus is the nature and limits of mathematical discourse. Whereas knowing mathematics is conceptualized as an ability to participate in this discourse, special attention is given to meta ...
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The swap of integral and limit in constructive mathematics
Mathematical Logic Quarterly, 2010Integration within constructive, especially intuitionistic mathematics in the sense of L. E. J. Brouwer, slightly differs from formal integration theories: Some classical results, especially Lebesgue's dominated convergence theorem, have tobe substituted by appropriate alternatives.
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Strengths and Limitations from a Mathematical Perspective
2017This chapter goes into further detail about the underlying mathematics of the multiple inert gas elimination technique (MIGET), discussing the strengths and weaknesses. One limitation is because of the mass conservation equations that govern MIGET; smooth retention curves are present when there is fine irregularity between adjacent compartments ...
Peter D. Wagner, Susan R. Hopkins
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