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A Mathematical Framework for Learning Probability Distributions
The modeling of probability distributions, specifically generative modeling and density estimation, has become an immensely popular subject in recent years by virtue of its outstanding performance on sophisticated data such as images and texts. Nevertheless, a theoretical understanding of its success is still incomplete.
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Improvements to the fuzzy mathematics comprehensive quantitative method for evaluating fault sealing
Fuzzy mathematics is an important means to quantitatively evaluate the properties of fault sealing in petroleum reservoirs. To accurately study fault sealing, the comprehensive quantitative evaluation method of fuzzy mathematics is improved based on a ...
Da-Wei Dong+4 more
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The coronavirus disease 2019 (COVID-19) pandemic and the resulting school closures in South Africa necessitated a major shift in how to support learners’ ongoing mathematics learning.
Pamela Vale, Mellony H. Graven
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Gender gaps in the development of mathematical and scientific literacy have important implications for the general public’s understanding of scientific issues and for the underrepresentation of women in science, technology, engineering, and math.
David Reilly, D. Neumann, Glenda Andrews
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Statistical Aspects of Wasserstein Distances [PDF]
Wasserstein distances are metrics on probability distributions inspired by the problem of optimal mass transportation. Roughly speaking, they measure the minimal effort required to reconfigure the probability mass of one distribution in order to recover ...
V. Panaretos, Y. Zemel
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Mathematical Properties of the Variance of the Multinomial Distribution
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Infinite series involving harmonic numbers and reciprocal of binomial coefficients
Yamamoto's integral was the integral associated with 2-posets, which was first introduced by Yamamoto. In this paper, we obtained the values of infinite series involving harmonic numbers and reciprocal of binomial coefficients by using some techniques of
Kwang-Wu Chen , Fu-Yao Yang
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Equilibrium distribution of heavy quarks in fokker-planck dynamics [PDF]
We obtain an explicit generalization, within Fokker-Planck dynamics, of Einstein's relation between drag, diffusion, and the equilibrium distribution for a spatially homogeneous system, considering both the transverse and longitudinal diffusion for ...
D. B. Walton+3 more
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Innovative methods in teaching mathematics for college students
This paper describes the concept of teaching methods and their distribution to the various scientific methods, in addition to described innovative teaching methods.
Judita Jonuševičienė+2 more
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The Equitable Distribution of Opportunity to Learn in Mathematics Textbooks
Low-income students and students of color are faced with pervasively lower levels of opportunity to learn compared with their peers, creating unequal opportunities for educational success.
Morgan S. Polikoff+3 more
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