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Concept image and concept definition in mathematics with particular reference to limits and continuity [PDF]
, 1981 The concept image consists of all the cognitive structure in the individual's mind that is associated with a given concept. This may not be globally coherent and may have aspects which are quite different from the formal concept definition.
D. O. Tall +3 more
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Chaos-Based Image Encryption: Review, Application, and Challenges
Mathematics, 2023 Chaos has been one of the most effective cryptographic sources since it was first used in image-encryption algorithms. This paper closely examines the development process of chaos-based image-encryption algorithms from various angles, including symmetric
Bowen Zhang, Lingfeng Liu
semanticscholar +1 more source
Image Encryption Scheme Based on Newly Designed Chaotic Map and Parallel DNA Coding
Mathematics, 2023 In this paper, a new one-dimensional fractional chaotic map is proposed and an image encryption scheme based on parallel DNA coding is designed by using the chaotic map.
Shenli Zhu +3 more
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On surface completion and image inpainting by biharmonic functions: Numerical aspects [PDF]
, 2018 Numerical experiments with smooth surface extension and image inpainting using harmonic and biharmonic functions are carried out. The boundary data used for constructing biharmonic functions are the values of the Laplacian and normal derivatives of the ...
Damelin, S. B., Hoang, N. S.
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, 2012 By using mathematical reasoning, this paper demonstrates the mathematical intervening principle: “Virtual disease is to fill his mother but real disease is to rush down his son” (虚则补其母, 实则泄其子) and “Strong inhibition of the same time, support the weak ...
Yingshan Zhang, Weilan Shao
semanticscholar +1 more source
Developing the Students’ Ability in Understanding Mathematics and Self-confidence with VBA for Excel
Journal of Research and Advances in Mathematics Education, 2019 Visual Basic Application for Excel is a simple program language and has the power to process data quickly. The utilization of math functions in Microsoft Excel can help work on Excel display more interactive so that teachers can create props inside Excel.
M. Bernard, E. Senjayawati
semanticscholar +1 more source
Metrics for generalized persistence modules [PDF]
, 2015 We consider the question of defining interleaving metrics on generalized persistence modules over arbitrary preordered sets. Our constructions are functorial, which implies a form of stability for these metrics.
Bubenik, Peter +2 more
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Morphology for Image Processing. Part I [PDF]
, 2012 In this article we defined mathematical morphology image processing with set operations. First, we defined Minkowski set operations and proved their properties.
Beata Padlewska +12 more
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Graduate Studies in Mathematics, 2020 This lecture covers several basic methods for standard tasks in data analysis and image processing. A non-exclusive and non-exhaustive list of meth-ods: histograms, dimension reduction, clustering, filters, frequency analysis, morphological methods ...
Claudia Scheimbauer
semanticscholar +1 more source
Image of the Burau Representation at $d$-th Roots of unity
, 2013 We prove that the image of the Full braid group $B_{n+1}$ on $n+1$ strands under the Burau representation, evaluated at a primitive $d$-th root of unity is arithmetic provided $n\geq d$.Comment: To appear in Annals of Mathematics.
A'Campo +9 more
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