Titlebook: Visualizing Mathematics; The Role of Spatial Kelly S. Mix,Michael T. Battista Book 2018 Springer Nature Switzerland AG 2018 Spatial reason

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Part II Commentary 1: Mathematics Educators’ Perspectives on Spatial Visualization and Mathematical hematics education researchers, because Lowrie and Logan address the importance of spatial reasoning across a range of mathematics content areas, rather than restricting their focus primarily to measurement or geometry mathematics content. They propose that spatial reasoning is important for content

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ence and engineering. The term FFT, initially associated to the Cooley-Tukey FFT for sequences of period . = 2., has become after the efforts of many researchers over the years, the generic name of a whole family of efficient DFT numerical methods. Each member in the FFT family is specialized in com

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Krzysztof Cipora,Philipp Alexander Schroeder,Mojtaba Soltanlou,Hans-Christoph Nuerklity for the role of a general framework for modeling concurrent computation. As a basic tool we introduce a ‘modal’ logic of transition rules and runs, which is, in the context of evolving algebras, just a definitional extension of ordinary first order logic. A notion of independence of rules and r

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Christopher Young,Susan C. Levine,Kelly S. Mixtions is given by characteristic functions from a finite universe (of unknown size) to a user-defined subset of rational numbers. Our logic supports standard operators such as union, intersection, difference, or any operation defined pointwise using mixed linear integer-rational arithmetic. Moreover

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ch has been extended to classical logic (cf. Girard 1991, Parigot 1991, and recently Danos Joinet Schellinx 1997). This paper introduces a new sequent calculus for (propositional) classical logic, indicated by .C. Both, the calculus and the cut-elimination procedure for .C extend those for . (Sambin

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A. Gutiérrezinary or dyadic notation of integers). Let + and . respectively denote usual addition of integers and concatenation (of their dyadic notations). A RAM which uses only arithmetical operations of a set I is called an I - RAM. An LTTC-RAM is a RAM which only uses LTTC operations..In the present paper,