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Titlebook: Learning Discrete Mathematics with ISETL; Nancy Baxter,Ed Dubinsky,Gary Levin Book 1989 Springer-Verlag New York Inc. 1989 Combinatorics.M

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发表于 2025-3-21 19:59:23 | 显示全部楼层 |阅读模式
书目名称Learning Discrete Mathematics with ISETL
编辑Nancy Baxter,Ed Dubinsky,Gary Levin
视频video
图书封面Titlebook: Learning Discrete Mathematics with ISETL;  Nancy Baxter,Ed Dubinsky,Gary Levin Book 1989 Springer-Verlag New York Inc. 1989 Combinatorics.M
描述The title of this book, Learning Discrete Mathematics with ISETL raises two issues. We have chosen the word "Learning" rather than "Teaching" because we think that what the student does in order to learn is much more important than what the professor does in order to teach. Academia is filled with outstanding mathematics teachers: excellent expositors, good organizers, hard workers, men and women who have a deep understanding of Mathematics and its applications. Yet, when it comes to ideas in Mathe­ matics, our students do not seem to be learning. It may be that something more is needed and we have tried to construct a book that might provide a different kind of help to the student in acquiring some of the fundamental concepts of Mathematics. In a number of ways we have made choices that seem to us to be the best for learning, even if they don‘t always completely agree with standard teaching practice. A second issue concerns students‘ writing programs. ISETL is a pro­ gramming language and by the phrase "with ISETL" in the title, we mean that our intention is for students to write code, think about what they have written, predict its results, and run their programs to check their p
出版日期Book 1989
关键词Combinatorics; Mathematica; Permutation; automata; linear optimization
版次1
doihttps://doi.org/10.1007/978-1-4612-3592-7
isbn_softcover978-1-4612-8170-2
isbn_ebook978-1-4612-3592-7
copyrightSpringer-Verlag New York Inc. 1989
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发表于 2025-3-21 22:24:18 | 显示全部楼层
Propositional Calculus, that the student should have a mental model of .. This should take the form of a representation of . that can be combined by logical connectives to form Boolean expressions corresponding to logical statements in English. When the variables are replaced by specific Boolean values (. or .), then the
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Functions,ay think of a function as nothing more than an expression or formula that sits, statically, on a piece of paper or on the blackboard. This is not a very powerful notion, and it is essential that the student develop a dynamic view of a function as a process that takes an object of some sort and trans
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Mathematical Induction,alizing that understanding this very important method of proof requires, at the very least, that students work a variety of problems that go beyond the usual proof that a given finite series has a certain closed form. In addition to presenting problems arising from a wide range of situations, we pro
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Relations and Graphs, various representations of a relation by a map, and a Boolean matrix, as well as graphically by an arrow diagram, graph, digraph, or Hasse diagram when possible. One of our goals is to help the student to be able to go back and forth between the various representations.
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ost clinical PET systems: (1) the true data formation process may be modeled accurately to include the Poisson nature of the observation process and factors such as attenuation, scatter, detector efficiency and randoms; and (2) an . statistical model for the image may be employed to model the genera
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Nancy Baxter,Ed Dubinsky,Gary Levination model from high resolution (HR) to low resolution (LR) to create paired data when training a supervised algorithm. Existing super-resolution algorithms make assumptions about the slice selection profile since it is not readily known for a given image. In this work, we estimate a slice selectio
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Nancy Baxter,Ed Dubinsky,Gary Levinincluding but not limited to shape analysis, action recognition, subspace clustering and motion segmentation. For these problems, the features usually lie in a very high-dimensional Grassmann manifold and hence an appropriate dimensionality reduction technique is called for in order to curtail the c
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