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Dirichlet's contributions to mathematical probability theory

open access: bronzeHistoria Mathematica, 1994
Only a few short papers on probability and error theory by Peter Gustav Lejeune Dirichlet are printed in his Werke. However, during his Berlin period, Dirichlet quite frequently gave courses on probability theory or the method of least squares. Unpublished lecture notes reveal that he presented original methods, especially when deriving probabilistic ...
Hans Rudi Fischer
openaire   +3 more sources

Situating "Ethics in Mathematics" as a Philosophy of Mathematics Ethics Education [PDF]

open access: yesEthics and Mathematics Education. Advances in Mathematics Education. Springer, Cham. 2024, 2022
In this paper, we situate the educational movement of "Ethics in Mathematics," as outlined by the Cambridge University Ethics in Mathematics Project, in the wider area of mathematics ethics education. By focusing on the core message coming out of Ethics in Mathematics, its target group, and educational philosophy, we set it into relation with ...
arxiv   +1 more source

Mathematics for Machine Learning

open access: yesJournal of Mathematical Sciences & Computational Mathematics, 2020
Machine learning is a way to study the algorithm and statistical model that is used by computer to perform a specific task through pattern and deduction [1].
Gaurav Kumar   +4 more
semanticscholar   +1 more source

INVESTIGATION OF KNOWLEDGE OF MATHEMATICS TEACHERS ABOUT PROBABILITY PROBLEMS [PDF]

open access: yes, 2021
The probability subject and problems about this subject can cause some difficulties for teachers as well as for students. In this context, this study aims to investigate the knowledge and opinions of mathematics teachers about the subject of probability.
Artut, Perihan Dinç, Er, Zübeyde
core   +2 more sources

University Students’ Conceptual Knowledge of Randomness and Probability in the Contexts of Evolution and Mathematics

open access: yesCBE - Life Sciences Education, 2017
Two instruments—Randomness and Probability Test in the Context of Evolution (RaProEvo) and Randomness and Probability Test in the Context of Mathematics (RaProMath)—that include both multiple-choice and free-response items were developed.
Daniela Fiedler   +2 more
semanticscholar   +1 more source

Mathematical Probability in the Natural Sciences [PDF]

open access: yesTechnometrics, 1959
Presidential address given at Symposium III of the XVIIIe Congress International des Sciences Pharmaceutiques, organized jointly by the Scientific Section of the International Pharmaceutical Federation and the Section Adolphe Quetelet—Brussels, 8–15 September, 1958. This address will also appear in Metrika, 1959.
openaire   +2 more sources

Random Variables and Product of Probability Spaces [PDF]

open access: yes, 2013
We have been working on the formalization of the probability and the randomness. In [15] and [16], we formalized some theorems concerning the real-valued random variables and the product of two probability spaces.
Okazaki, Hiroyuki, Shidama, Yasunari
core   +2 more sources

Scaled Boolean Algebras [PDF]

open access: yes, 2002
Scaled Boolean algebras are a category of mathematical objects that arose from attempts to understand why the conventional rules of probability should hold when probabilities are construed, not as frequencies or proportions or the like, but rather as ...
Hardy, Michael
core   +2 more sources

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