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These lecture notes were prepared for a mixed audience of students, postdocs and faculty from the Indian Institute of Technology Madras, India and neighboring institutions, particularly the Institute of Mathematical Sciences. I am not an…

Strongly Correlated Electrons · Physics 2018-04-19 R. Shankar

Whether males outperform females in mathematics is still debated. Such a gender gap varies across countries, but the determinants of the differences are unclear and could be produced by heterogeneity in the instructional systems or cultures…

History and Overview · Mathematics 2021-12-23 David Giofrè , Cesare Cornoldi , Angela Martini , Enrico Toffalini

Descriptions of cosmic impacts and meteorite falls are found throughout Australian Aboriginal oral traditions. In some cases, these texts describe the impact event in detail, sometimes citing the location, suggesting that the events were…

History and Philosophy of Physics · Physics 2010-09-23 Duane W. Hamacher , Ray P. Norris

This article attempts to place the emergence of probabilistic numerics as a mathematical-statistical research field within its historical context and to explore how its gradual development can be related both to applications and to a modern…

Numerical Analysis · Mathematics 2024-12-20 C. J. Oates , T. J. Sullivan

Mathematics is often perceived as difficult or inaccessible, yet meaningful engagement can arise in unexpected places. In this article we describe a multi-year exploration of mathematical outreach through games, puzzles, exhibitions, and…

History and Overview · Mathematics 2025-12-04 Hugo Parlier , Bruno Teheux

Light pollution is actively destroying our ability to see the stars. Many Indigenous traditions and knowledge systems around the world are based on the stars, and the peoples' ability to observe and interpret stellar positions and…

Popular Physics · Physics 2020-02-03 Duane W. Hamacher , Krystal de Napoli , Bon Mott

The Native Skywatchers programming addresses the loss of Ojibwe and Dakota star knowledge. The goal is to help preserve indigenous astronomy and pass it on to future generations. The star knowledge will serve as a cornerstone inspiration…

History and Philosophy of Physics · Physics 2020-09-01 Annette S. Lee

Recently delivered lectures on Self-Referential Mathematics, [2], at the Department of Mathematics and Applied Mathematics, University of Pretoria, are briefly presented. Comments follow on the subject, as well as on Inconsistent…

General Mathematics · Mathematics 2009-05-05 Elemer E Rosinger

This introductory text arises from a lecture given in G\"oteborg, Sweden, given by the first author and is intended for undergraduate students, as well as for any mathematically inclined reader wishing to explore a synthesis of ideas…

Differential Geometry · Mathematics 2025-02-18 Noémie C. Combe , Philippe G. Combe , Hanna K. Nencka

It is well-known (at least in the education research literature) that primary school students face considerable difficulties in the understanding of negative integers (and numbers), related operations and their visualizations. In the…

History and Overview · Mathematics 2021-06-08 A. Mani

Astronomy across world cultures is rooted in Indigenous Knowledge. We share models of partnering with indigenous communities involving Collaboration with Integrity to co-create an inclusive scientific enterprise on Earth and in space.

The recent availability of larger typological databases such as Haspelmath et al. (2005) has brought the linguistics community closer to having a solid, empirical foundation for making actual claims about prehistoric migrations, deep…

Physics and Society · Physics 2007-05-23 Eric W. Holman , Christian Schulze , Dietrich Stauffer , Soren Wichmann

This project investigated new approaches and technologies to enhance the accessibility of mathematical content and its semantic information for a broad range of information retrieval applications. To achieve this goal, the project addressed…

Information Retrieval · Computer Science 2023-05-15 Bela Gipp , André Greiner-Petter , Moritz Schubotz , Norman Meuschke

Mathematical notation, i.e., the writing system used to communicate concepts in mathematics, encodes valuable information for a variety of information search and retrieval systems. Yet, mathematical notations remain mostly unutilized by…

Digital Libraries · Computer Science 2021-06-23 Andre Greiner-Petter , Moritz Schubotz , Fabian Mueller , Corinna Breitinger , Howard S. Cohl , Akiko Aizawa , Bela Gipp

Few among us would know that the first mention of the sine and the enumeration of the first sine table are to be credited to Aryabhata. The method to generate this relies on the sine difference formula which is derived using ingenious…

History and Overview · Mathematics 2023-09-26 Vijay A. Singh , Aneesh Kumar

Many Nigerian languages have relinquished their previous prestige and purpose in modern society to English and Nigerian Pidgin. For the millions of L1 speakers of indigenous languages, there are inequalities that manifest themselves as…

Computation and Language · Computer Science 2020-03-25 Iroro Orife

In this paper we propose a very specific educational challenge that teachers can use to motivate ambitious and enthusiastic mathematics students who have mastered basic trigonometry and trig functions. The objective is to lead students to a…

History and Overview · Mathematics 2023-11-20 Jeffrey Uhlmann

The amount of information available to the mathematics teacher is so enormous that the selection of desirable content is gradually becoming a huge task in itself. With respect to the inclusion of elements of history of mathematics in…

History and Overview · Mathematics 2017-07-21 Joshua Abah Abah

Problem. Educational disparities in Mathematics performance are a persistent challenge. This study aims to unravel the complex factors contributing to these disparities among students internationally, with a focus on the interpretability of…

Computers and Society · Computer Science 2025-02-28 Ismael Gomez-Talal , Luis Bote-Curiel , Jose Luis Rojo-Alvarez

Low-resource machine translation (MT) presents a diversity of community needs and application challenges that remain poorly understood. To complement surveys and focus groups, which tend to rely on small samples of respondents, we propose…

Computation and Language · Computer Science 2025-06-10 Raphael Merx , Adérito José Guterres Correia , Hanna Suominen , Ekaterina Vylomova
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