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This manuscript summarizes the outcome of the focus groups at "The f(A)bulous workshop on matrix functions and exponential integrators", held at the Max Planck Institute for Dynamics of Complex Technical Systems in Magdeburg, Germany, on…

Numerical Analysis · Mathematics 2024-01-30 Massimiliano Fasi , Stéphane Gaudreault , Kathryn Lund , Marcel Schweitzer

Aversion to mathematics is a recognised and widespread problem. Following a review of the literature on this subject, this paper presents an education program which has been developed to test the hypothesis that transferring attention from…

Physics Education · Physics 2023-07-17 Anastasia Popkova , David Blair , David Treagust

We present a research mathematician's perspective on current developments around in K-12 mathematics. We share activities, and highlight the different ways in which students' reasoning can progress, such as amount of abstraction,…

History and Overview · Mathematics 2019-01-01 Dev P. Sinha

The ThEdu series pursues the smooth transition from an intuitive way of doing mathematics at secondary school to a more formal approach to the subject in STEM education, while favouring software support for this transition by exploiting the…

Logic in Computer Science · Computer Science 2024-04-08 Julien Narboux , Walther Neuper , Pedro Quaresma

Massive Open Online Courses (MOOCs) have the potential to democratize education by providing learners with access to rich sources of information. However, evidence supporting this democratization across countries is limited. We explored the…

Computers and Society · Computer Science 2016-08-19 Suhang Jiang , Katerina Schenke , Jacquelynne Sue Eccles , Di Xu , Mark Warschauer

A.M. Mathai is Emeritus Professor of Mathematics and Statistics at McGill University, Canada, and Director of the Centre for Mathematical and Statistical Sciences, India. He has published over 300 research papers and more than 25 books on…

History and Overview · Mathematics 2015-02-27 H. J. Haubold , A. M. Mathai

We deliver a call to arms for probabilistic numerical methods: algorithms for numerical tasks, including linear algebra, integration, optimization and solving differential equations, that return uncertainties in their calculations. Such…

Numerical Analysis · Mathematics 2016-02-17 Philipp Hennig , Michael A Osborne , Mark Girolami

Mathematical induction is a fundamental tool in computer science and mathematics. Henkin initiated the study of formalization of mathematical induction restricted to the setting when the base case B is set to singleton set containing 0 and…

Logic in Computer Science · Computer Science 2020-08-17 A. Dileep , Kuldeep S. Meel , Ammar F. Sabili

The first edition of the event As Astrocientistas: the Brazilian Meeting of Women and Girls in Astrophysics, Cosmology, and Gravitation, happened in February 2021. It gathered great names of Brazilian science to pay homage to Brazilian…

Physics and Society · Physics 2022-02-04 Carla R. Almeida , Paola C. M. Delgado , Tays Miranda

This article, dedicated, with admiration to Reuben Hersh, for his forthcoming 90th birthday, argues that mathematics today is not yet a science, but that it is high time that it should become one.

History and Overview · Mathematics 2017-04-20 Doron Zeilberger

While the consequences of mathematically-based software, algorithms and strategies have become ever wider and better appreciated, ethical reflection on mathematics has remained primitive. We review the somewhat disconnected suggestions of…

History and Overview · Mathematics 2023-01-09 Dennis Müller , Maurice Chiodo , James Franklin

The aim of the workshop series Developments in Computational Models (DCM) is to bring together researchers who are currently developing new computational models or new features for traditional computational models, in order to foster their…

Logic in Computer Science · Computer Science 2014-04-01 Benedikt Löwe , Glynn Winskel

The Mittag-Leffler function is universally acclaimed as the Queen function of fractional calculus. The aim of this work is to survey the key results and applications emerging from the three-parameter generalization of this function, known…

Classical Analysis and ODEs · Mathematics 2020-02-26 Andrea Giusti , Ivano Colombaro , Roberto Garra , Roberto Garrappa , Federico Polito , Marina Popolizio , Francesco Mainardi

Recent years have seen the dramatic rise of the usage of AI algorithms in pure mathematics and fundamental sciences such as theoretical physics. This is perhaps counter-intuitive since mathematical sciences require the rigorous definitions,…

History and Overview · Mathematics 2024-08-07 Yang-Hui He

Random matrices now play a role in many parts of computational mathematics. To advance these applications, it is desirable to have tools that are flexible, easy to use, and powerful. Over the last 25 years, researchers have developed a…

Probability · Mathematics 2026-05-01 Joel A. Tropp

This paper presents a comprehensive overview on the applications of artificial intelligence (AI) in mathematical research, highlighting the transformative role AI has begun to play in this domain. Traditionally, AI advancements have heavily…

Artificial Intelligence · Computer Science 2026-02-16 Shizhe Liang , Wei Zhang , Tianyang Zhong , Tianming Liu

In its December 2019 edition, the \textit{Notices of the American Mathematical Society} published an essay critical of the use of diversity statements in academic hiring. The publication of this essay prompted many responses, including…

Mathematical proofs are both paradigms of certainty and some of the most explicitly-justified arguments that we have in the cultural record. Their very explicitness, however, leads to a paradox, because the probability of error grows…

Symbolic Computation · Computer Science 2022-04-13 Scott Viteri , Simon DeDeo

The purpose of these lecture notes is to provide readers, who have some mathematical background but little or no exposure to quantum mechanics and quantum computation, with enough material to begin reading the research literature in quantum…

Quantum Physics · Physics 2007-05-23 Samuel J. Lomonaco , jr

This special issue brings together eight papers from experts of communities which often have been perceived as different once: bibliometrics, scientometrics and informetrics on the one side and information retrieval on the other. The idea…

Information Retrieval · Computer Science 2019-01-15 Philipp Mayr , Andrea Scharnhorst