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Traditionally, mathematical knowledge is published in printed media such as books or journals. With the advent of the Internet, a new method of publication became available. To date, however, most online mathematical publications do not…

History and Overview · Mathematics 2011-03-01 Markus J. Pflaum , John Tuley

The present paper gives an account for the general mathematical reader of the life and work of Martin Davis. Since two rather comprehensive autobiographical accounts and two long biographical interviews already exist, the present work…

History and Overview · Mathematics 2024-01-19 Wesley Calvert , Valentina Harizanov , Eugenio G. Omodeo , Alberto Policriti , Alexandra Shlapentokh

This paper is a very non-rigorous, loose, and extremely basic introduction to sheaves. This is meant to be a a guide to gaining intuition about sheaves, what they look like, and how they work, so that after reading this paper, someone can…

Algebraic Geometry · Mathematics 2022-03-01 Mark Agrios

Recent research in mathematics education points to an "epistemic clash" when programming and computational thinking (CT) are leveraged alongside more established forms of mathematical thinking (MT). The emergence of generative AI emphasises…

History and Overview · Mathematics 2026-05-13 Jan-Fredrik Olsen , Tor Ole B Odden , Elise Lockwood

The contributions of Sophya Kowalewski to the integrability theory of the equations for the heavy top extend to a larger class of Hamiltonian systems on Lie groups; this paper explains these extensions, and along the way reveals further…

Symplectic Geometry · Mathematics 2009-09-25 Velimir Jurdjevic

Women in computing were among the first programmers in the early 20th century and were substantial contributors to the industry. Today, men dominate the software engineering industry. Research and data show that women are far less likely to…

Software Engineering · Computer Science 2024-05-08 Lina Boman , Jonatan Andersson , Francisco Gomes de Oliveira Neto

Two new arithmetic sites are introduced, based on dynamical Belyi maps and Conway's big picture, respectively. We relate these to arboreal Galois representations, Bost-Connes data, and the original arithmetic site due to Connes and Consani.

Category Theory · Mathematics 2020-04-20 Lieven Le Bruyn

Access to mathematical knowledge has changed dramatically in recent years, therefore changing mathematical search practices. Our aim with this study is to scrutinize professional mathematicians' search behavior. With this understanding we…

Human-Computer Interaction · Computer Science 2014-05-16 Andrea Kohlhase

The numerical evaluation of statistics plays a crucial role in statistical physics and its applied fields. It is possible to evaluate the statistics for a stochastic differential equation with Gaussian white noise via the corresponding…

Numerical Analysis · Mathematics 2023-07-04 Jun Ohkubo

Women have become better represented in business, academia, and government over time, yet a dearth of women at the highest levels of leadership remains. Sociologists have attributed the leaky progression of women through professional…

Physics and Society · Physics 2019-03-27 Sara M. Clifton , Kaitlin Hill , Avinash J. Karamchandani , Eric A. Autry , Patrick McMahon , Grace Sun

Papert's (1980) work with Turtle Geometry offered an early and provocative vision of how digital technologies could be used with young learners. Since then, research on digital technology use has focused on the middle and high school…

History and Overview · Mathematics 2016-02-11 Nathalie Sinclair , Anna Baccaglini-Frank

Mathematical objects are generally abstract and not very approachable. Illustrations and interactive visualizations help both students and professionals to comprehend mathematical material and to work with it. This approach lends itself…

History and Overview · Mathematics 2022-05-16 Martin Skrodzki

In this study, we continue to 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

Mathematics has become inescapable in modern, digitized societies: there is hardly any area of life left that isn't affected by it, and we as mathematicians play a central role in this. Our actions affect what others, in particular our…

History and Overview · Mathematics 2024-07-18 Maurice Chiodo , Dennis Müller

This Master's Thesis analyzes thoroughly the topic of the Mathematics Education in Russia and Mathematical Circles. It deals with the historical context of the Mathematics Education in Russia in the XVIIIth, XIXth and XXth centuries; the…

History and Overview · Mathematics 2015-12-22 Daniel Grilo Bartolomé

The aim of this paper is to apply an original computation method due to Malesevic and Makragic [5] to the problem of approximating some trigonometric functions. Inequalities of Wilker-Cusa-Huygens are discussed, but the method can be…

Classical Analysis and ODEs · Mathematics 2019-10-15 Marija Nenezic , Branko Malesevic , Cristinel Mortici

In this technical report we give an elementary introduction to Quantum Computing for non-physicists. In this introduction we describe in detail some of the foundational Quantum Algorithms including: the Deutsch-Jozsa Algorithm, Shor's…

Quantum Physics · Physics 2020-05-08 Elliot Catt , Marcus Hutter

The 2016 papers of J. Solomon and S. Tukachinsky use bounding chains in Fukaya's $A_{\infty}$-algebras to define numerical disk counts relative to a Lagrangian under certain regularity assumptions on the moduli spaces of disks. We present a…

Symplectic Geometry · Mathematics 2023-07-31 Xujia Chen

Since its existence, the computer tool has often supported mathematicians, whether it is to implement an approximation method (numerical calculation of a root, of an integral, ...) or to simulate a phenomenon (geometric in nature,…

Computers and Society · Computer Science 2023-08-29 Karim Zayana , Régis Queruel , Pierre Michalak

The current Special Issue of The Annals of Statistics contains three invited articles. Javier Rojo discusses Erich's scientific achievements and provides complete lists of his scientific writings and his former Ph.D. students. Willem van…

Statistics Theory · Mathematics 2012-02-24 Peter Bühlmann , Tony Cai