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In this study, we present profiles of some distinguished graduates in mathematics of the Jagiellonian University from the years 1918-1939. We discuss their professional paths and scholarly achievements, instances of scientific…

History and Overview · Mathematics 2018-09-07 Stanisław Domoradzki , Małgorzata Stawiska

We present a set of principles and methodologies which may serve as foundations of a unifying theory of Mathematics. These principles are based on a new view of Grothendieck toposes as unifying spaces being able to act as `bridges' for…

Category Theory · Mathematics 2011-04-05 Olivia Caramello

The contributions of Emmy Noether to particle physics fall into two categories. One is given under the rubric of Noether's theorem, and the other may be described as her important contributions to modern mathematics. These are discussed…

High Energy Physics - Theory · Physics 2008-02-03 Nina Byers

We compare several approaches to the history of mathematics recently proposed by Blasjo, Fraser--Schroter, Fried, and others. We argue that tools from both mathematics and history are essential for a meaningful history of the discipline. In…

History and Overview · Mathematics 2020-02-05 Mikhail G. Katz

I give a short introduction to data ethics. I begin with some background information and societal context for data ethics. I then discuss data ethics in mathematical-science education and indicate some available course material. I briefly…

History and Overview · Mathematics 2024-07-26 Mason A. Porter

This is a discussion of some themes in Max Tegmark's recent book, Our Mathematical Universe. It was written as a review for Plus Magazine, the online magazine of the UK's national mathematics education and outreach project, the Mathematics…

History and Philosophy of Physics · Physics 2014-06-18 Jeremy Butterfield

This text summarizes and expands the content of a general audience talk given in 2018 at the University of Mainz. Motivated by recent developments in dependent type theory and infinity category theory, it presents a history of ideas around…

History and Overview · Mathematics 2026-04-21 Stefan Müller-Stach

Female role models reduce the impact on women of stereotype threat, i.e., of being at risk of conforming to a negative stereotype about one's social, gender, or racial group. This can lead women scientists to underperform or to leave their…

In this article we present diverse experiences of Polish mathematicians (in a broad sense) who during World War I fought for freedom of their homeland or conducted their research and teaching in difficult wartime circumstances. We first…

History and Overview · Mathematics 2020-01-16 Stanislaw Domoradzki , Malgorzata Stawiska

The regularity theory for variational inequalities over polyhedral sets developed in a series of papers by Robinson, Ralph and Dontchev-Rockafellar in the 90s has long become classics of variational analysis. But in the available proofs of…

Optimization and Control · Mathematics 2015-09-01 Alexander D. Ioffe

This paper deals with the problem of theoretical justification and development of scientific and methodological support for using the cloud service CoCalc as a tool for the formation of mathematics teachers professional competencies. The…

Physics Education · Physics 2019-01-17 Maiia Popel

We discuss the significance of some interesting results by Barbara Rokowska about combinatorial constructions. Her interest in finite mathematics and number theory began with an embellishment and detailing of some work by Erdos. Rokowska…

History and Overview · Mathematics 2025-12-22 Krzysztof J. Szajowski

This remark describes efficiency improvements to Algorithm 916 [Zaghloul and Ali 2011]. It is shown that the execution time required by the algorithm, when run at its highest accuracy, may be improved by more than a factor of two. A better…

Instrumentation and Methods for Astrophysics · Physics 2015-05-27 Mofreh R. Zaghloul

In the Soviet Union a reform movement in mathematics education was triggered by Andrey Kolmogorov in the 1970s, and followed by a counter-reform. This movement was rooted in the very different socioeconomic conditions of that time and…

History and Overview · Mathematics 2022-10-10 Alexandre Borovik

The rapid advances in technology over the last decade have significantly altered the nature of engineering knowledge and skills required in the modern industries. In response to the changing professional requirements, engineering…

History and Overview · Mathematics 2022-07-12 Firuz Kamalov , Ho-Hon Leung

In this article algorithmic methods are presented that have essentially been introduced into computer algebra systems like Mathematica within the last decade. The main ideas are due to Stanley and Zeilberger. Some of them had already been…

Classical Analysis and ODEs · Mathematics 2009-09-25 Wolfram Koepf

This book gives a thorough introduction to topological data analysis (TDA), the application of algebraic topology to data science. Algebraic topology is traditionally a very specialized field of math, and most mathematicians have never been…

Algebraic Topology · Mathematics 2024-12-30 Michael S. Postol

In the article "The Tale of Two Queens and Two Towering Figures" published in CNJ in 2012 (CNJ vol. 57 No. 5, pp. 304-315), we discussed the contributions of Copernicus and Newton to coin minting and monetary reforms, as well as the…

History and Overview · Mathematics 2016-09-30 Henryk Fukś

Mathematical information is essential for technical work, but its creation, interpretation, and search are challenging. To help address these challenges, researchers have developed multimodal search engines and mathematical question…

Information Retrieval · Computer Science 2025-01-15 Richard Zanibbi , Behrooz Mansouri , Anurag Agarwal

During the past two decades there has been a lot of interest in developing statistical depth notions that generalize the univariate concept of ranking to multivariate data. The notion of depth has also been extended to regression models and…

Methodology · Statistics 2015-08-18 Peter J. Rousseeuw , Mia Hubert