Results 11 to 20 of about 2,256,432 (315)
The differential geometry of perceptual similarity [PDF]
, 2017 Human similarity judgments are inconsistent with Euclidean, Hamming, Mahalanobis, and the majority of measures used in the extensive literatures on similarity and dissimilarity. From intrinsic properties of brain circuitry, we derive principles of perceptual metrics, showing their conformance to Riemannian geometry. As a demonstration of their utility,
Antonio Miguel Bernal Rodríguez +1 more
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Analysing Textbook Treatment of Similarity in Plane Geometry
Annales de Didactique et de Sciences Cognitives, 2019 This study presents a specific analysis of the treatment of the topic “similarity” by several college textbooks, in this case six Indonesian textbooks. The choice of this mathematical topic is justified by the fact that it requires in the activity of the
Dyana Wijayanti
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Log-Aesthetic Curves: Similarity Geometry, Integrable Discretization and Variational Principles [PDF]
Computer Aided Geometric Design, 2018 In this paper, we consider a class of plane curves called log-aesthetic curves and their generalization which are used in computer aided geometric design. We consider these curves in the framework of the similarity geometry and characterize them as invariant curves under the integrable flow on plane curves which is governed by the Burgers equation.
Jun-ichi Inoguchı +4 more
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Riemannian geometry and molecular similarity II: Kähler quantization [PDF]
Proceedings of the Royal Society A: Mathematical, Physical and Engineering SciencesShape similarity between molecules is a concept used by chemists for virtual screening, with the goal of reducing the cost and duration of drug discovery campaigns. This paper reports an entirely novel shape descriptor as an alternative to the previously described descriptors (Hall et al.
Rachael Pirie +3 more
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The geometry of color similarities
Journal of Vision, 2014 Robert Ennis, Qasim Zaidi
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SOME MATHEMATICAL PROBLEMS CONNECTED WITH THE AXIOMATIC OF SIMILARITY GEOMETRY [PDF]
, 1996 Boguslawa Waligora
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Mathematics, 2021 The topic of similarity plays an essential role in developing students’ deductive reasoning. However, knowing how to teach similarity and understanding how to incorporate deductive reasoning and proof along with plane geometry remain a challenge to both ...
Qiao-Ping Zhang, Ngai-Ying Wong
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JOHME: Journal of Holistic Mathematics Education, 2022 The studies on the worked-out examples teaching approach (WOETA) have been investigated globally and in South Africa, showing gains in learners' performance. This study reports on the Euclidean geometry short learning programme (EGSLP), which used worked-
Msebenzi Rabaza, Joleen Hamilton
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Measure of Similarity between GMMs Based on Geometry-Aware Dimensionality Reduction
Mathematics, 2022 Gaussian Mixture Models (GMMs) are used in many traditional expert systems and modern artificial intelligence tasks such as automatic speech recognition, image recognition and retrieval, pattern recognition, speaker recognition and verification ...
Branislav Popović +4 more
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