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A mathematical representation for vessel networks II

Journal of Theoretical Biology, 1983
The topographical features of vessel networks can influence the red cell hematocrit, red cell spacing and flow pattern, either directly or indirectly at any level from arteriole to venules. In this article, we continue to treat the mathematical representation for vessel networks.
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Mathematical Representation of Waveforms

2004
Waveforms normally encountered in radar are essentially time-limited and band-limited. (With proper interpretation, this characterization also applies to CW radar systems.) Those familiar with Fourier transform theory will realize, of course, that a waveform cannot be simultaneously time and band-limited.
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Mathematical Representations of Development Theories

1979
In this chapter we explore the consequences of particular stage linkage structures for the evolution of a population. We first argue the importance of constructing dynamic models of development theories and show the implications of various stage connections for population movements.
Singer, Burton, Spilerman, Seymour
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Mathematics teachers’ representations of authority

Journal of Mathematics Teacher Education, 2013
Issues of authority abound in education and schooling but have not been interrogated sufficiently. We describe a tool that we have developed to initiate dialogue with teachers about authority in their classrooms—using a diagram to represent authority in their classrooms.
David Wagner, Beth Herbel-Eisenmann
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MATHEMATICS AND HUMAN ACTIVITY: REPRESENTATION IN MATHEMATICAL WRITING

Research in Mathematics Education, 2001
The prevailing image of mathematical writing is formal and impersonal, reflecting an absolutist view of the nature of mathematics. This paper challenges this image. Analysis of texts written by research mathematicians shows that they include different kinds of representations of the human activity of doing mathematics.
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Representational Tools and Mathematical Understanding

Journal of the Learning Sciences, 2002
Understanding how cultural mediators and social interaction promote meaningful learning requires that each student's perspective, reasoning, and construction processes be taken into account. In my analysis of the classroom episodes, I consider individual students' progress as they use tools, discuss data distributions, and interact with their teachers ...
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Students’ mathematical representation in solving mathematical problems

AIP Conference Proceedings, 2022
Yufid Afkarina Nizar Isyam   +1 more
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Mathematical Representations in Physics Lessons

2019
Physics is characterized by the use of specific types of representations. These representations play an important role in the teaching and learning of physics. This chapter/article starts with a general description of representations from a cognitive sciences' and semiotics' view and presents the state of theory about representations in physics ...
Marie-Annette Geyer   +1 more
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Mathematics, Representation and Molecular Structure

2001
The application of quantum-theoretic models to the explanation of chemical structure and bonding is one of the great twentieth-century stories of interaction among disciplines. Some philosophers have found in this interaction both evidential support and historical explanation. The evidential support is for the philosophical doctrine of physicalism, the
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