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Representational Innovation and Mathematical Ontology

Synthese, 2003
The author challenges the received view that one has to choose between mathematical content (realism) and mathematical knowledge. According to the author, there are such things as mathematical objects and we really do know, with varying degrees of precision, what they are.
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Mathematical Representational Code Switching

International Journal for Mathematics Teaching and Learning, 2019
This study investigates representational code-switching (RCS) by considering three high school students' communications in the process of comparing and contrasting pairs of representations (e.g., equation and graph) in the context of rational functions.
Michael J. Bosse   +3 more
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Representation of mathematical knowledge

1991
We describe a method to build an environment for processing mathematical domains of computation. Basically, the environment may aid the user in: (i) specifying correct abstract computational structures and their models, (ii) completing the sets of properties of operators by means of a learning method and (iii) determining the correct domain in which a ...
Calmet, Jacques, Tjandra, Indra Adiono
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Piecewise mathematical representation of articular surfaces

Journal of Biomechanics, 1979
Abstract Spatial linkages have been used to measure the relative position of anatomical bodies in vivo. If an accurate method is used for mathematically representing the articular surfaces, the relative position of which is measured by a linkage, in vivo areas of contact in anatomical joints can be determined.
P K, Scherrer, B M, Hillberry
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MATHEMATICAL MODEL OF KNOWLEDGE TRANSFER REPRESENTATION

ICERI Proceedings, 2019
For centuries, man has been paying special attention to acquiring knowledge and the relationship between information and knowledge that is needed to term an unarticulated amount of information as knowledge. Acquiring knowledge is not an easy process but involves complex processes: perception, learning, communication, association, and concluding ...
Sirovatka, Goran   +2 more
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Cyclic Mathematical Morphology in Polar-Logarithmic Representation

IEEE Transactions on Image Processing, 2009
We propose in this paper to perform mathematical morphology operators in a geometric transformation of an image. As a result of this procedure, processing images with regular structuring elements in the transformed domain is equivalent to working with deformed structuring elements in the original representation.
Luengo-Oroz, Miguel Angel, Angulo, Jesus
openaire   +4 more sources

Mathematics as Representation

1992
The term representation is not encountered often in the sociology of science literature (cf. Barnes, 1977; De Mey, 1982; Lynch and Woolgar, 1990). But the problem of representation is endemie to the field. It is a duallegacy from 1) Kant and philosophy, and 2) Durkheim and sociology.
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Mathematics and Scientific Representation

International Studies in the Philosophy of Science, 2013
Mathematics and Scientific Representation Christopher Pincock New York, Oxford University Press, 2012 xiv + 330 pp., ISBN 9780199757107, US$65.00 (hardback) In Mathematics and Scientific Representa...
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Handling mathematical objects: representations and context

Synthese, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Mathematical representation of waves

2012
The aim of this tutorial is to show how waves can be represented and summed. These ideas are important for understanding electromagnetic radiation, scattering, and spectroscopy experiments (Tutorial 8, Sections 4 and 5).
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