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Mathematical Models of Generalized Diffusion
Physica Scripta, 2001Summary: The authors discuss equations describing processes involving nonlinear and higher-order diffusion. They focus on a particular case \((u_t=2\lambda_2(uu_x)_x+\lambda_2u_{xxxx})\), which is put into analogy with the KdV equation. A balance of nonlinearity and higher-order diffusion enables the existence of self-similar solutions, describing ...
Kraenkel, Roberto André +1 more
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Mathematics as an artistic-generative principle
SIGGRAPH 89 Art show catalog - Computer art in context on - SIGGRAPH '89, 1989The author defines a mathematical discipline that is devoted to the generation of artistic images. The practical implementation of the underlying theory is possible today with the aid of computer graphics systems.
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Mathematical Modelling of Generalization
2002This paper surveys certain developments in the use of probabilistic techniques for the modelling of generalization. Some of the main methods and key results are discussed. Many details are omitted, the aim being to give a high-level overview of the types of approaches taken and methods used.
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The Mathematics Teacher, 1946
During the past four or five years volumes have been written on the reasons for adding general mathematics to the curriculum. Much has been written in general terms on the content of such courses. We are making little progress. We have had years of war with its emphasis on the need for mathematics but relatively little of a fundamental nature has been ...
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During the past four or five years volumes have been written on the reasons for adding general mathematics to the curriculum. Much has been written in general terms on the content of such courses. We are making little progress. We have had years of war with its emphasis on the need for mathematics but relatively little of a fundamental nature has been ...
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General sweep mathematical morphology
Pattern Recognition, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Frank Y. Shih, Vijayalakshmi Gaddipati
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The Mathematics of Generalization
2018This volume grew out of a workshop designed to bring together researchers from different fields and includes contributions from workers in Bayesian analysis, machine learning, neural nets, PAC and VC theory, classical sampling theory statistics and the statistical physics of learning. The contributions present a bird's-eye view of the subject.
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A Framework for Generic Exercises with Mathematical Content
2015 International Conference on Learning and Teaching in Computing and Engineering, 2015The idea of using randomly generated mathematical exercises in Computer Assisted Assessment (CAA) is well-known. Variable values can be used to create different versions of an exercise, each time a student looks at it. This approach helps to avoid plagiarism between students and leads to discussions about the concepts of an exercise rather than ...
Filiz Kurt-Karaoglu +4 more
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Mathematics Exercise Generator
2020Nowadays, the process of teaching and learning is changing from a traditional model in which teachers were the source of information to a model in which teachers appear as advisors who carefully observe students, assist in the selection of information by identifying their learning needs, and support students in their autonomous study.
Maria Paula Oliveira, Paula Carvalho
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1972
ARTICLE I. W hatever is capable of increase or diminution, is called magnitude , or quantity . A sum of money therefore is a quantity, since we may increase it or diminish it. It is the same with a weight, and other things of this nature. 2. From this definition, it is evident, that the different kinds of magnitude must be so various, as to ...
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ARTICLE I. W hatever is capable of increase or diminution, is called magnitude , or quantity . A sum of money therefore is a quantity, since we may increase it or diminish it. It is the same with a weight, and other things of this nature. 2. From this definition, it is evident, that the different kinds of magnitude must be so various, as to ...
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The role of elementary mathematics in general college mathematics
The Mathematics Teacher, 1959The problem: What is the role, if any, of elementary mathematical concepts in a college curriculum?
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