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Mathematics Teaching in the Middle School, 2016
Students analyze football plays.
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Students analyze football plays.
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Mathematical Theory of Quantum Fields
1999Abstract This is an introduction to the mathematical foundations of quantum field theory, using operator algebraic methods and emphasizing the link between the mathematical formulations and related physical concepts. It starts with a general probabilistic description of physics, which encompasses both classical and quantum physics.
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Mathematical Relationships Between Bond-Bending Force Fields
Journal of Mathematical Chemistry, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Mathematical Foundations of Uncertain Field Visualization
2014Uncertain field visualization is currently a hot topic as can be seen by the overview in this book. This article discusses a mathematical foundation for this research. To this purpose, we define uncertain fields as stochastic processes. Since uncertain field data is usually given in the form of value distributions on a finite set of positions in the ...
Gerik Scheuermann +3 more
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Finite Fields and Discrete Mathematics
1992In this chapter we concentrate on new applications of finite fields which emerged quite recently. Such applications include, but are not limited to, cryptography, extremal graph theory, polynomial mappings and complexity theory which are extremely quickly developing areas posing a number exciting questions directly related to the theory of finite ...
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Mathematical language of field theory
1993A general theory of the electromagnetic field, or of any other kind of field, requires a development of the field concept from the intuitive and rather pictorial forms used in Chapter 1 into an instrument of great precision. Such a theory will consist of equations of some kind that are sufficient to define all the spatial and temporal variations of a ...
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Organization of a Field by Mathematizing
1973Up to now our didactical analysis has been mainly local. No global structure of mathematics to be taught was visible — it would have been otherwise if mathematics were supposed to be taught as a pre-established deductive system, as an inverse pyramid as it were, but it is now obvious that this would never lit the didactics of re-invention.
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Field’s Account of Mathematics and Metalogic
2003Abstract My anti-realist position throughout this work has been that the theorems of mathematics, literally and Platonically construed, are not true. Such a position may suggest to some that I am a (mathematical) “fictionalist”—where a fictionalist is one who holds that the assertions of mathematics express, for the most part, “untruths”,
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