Advancing mathematics by guiding human intuition with AI

A Davies, P Veličković, L Buesing, S Blackwell… - Nature, 2021 - nature.com
The practice of mathematics involves discovering patterns and using these to formulate and
prove conjectures, resulting in theorems. Since the 1960s, mathematicians have used …

On the numerical evaluation of distributions in random matrix theory: a review

F Bornemann - arxiv preprint arxiv:0904.1581, 2009 - arxiv.org
In this paper we review and compare the numerical evaluation of those probability
distributions in random matrix theory that are analytically represented in terms of Painlev\'e …

A framework for epistemological discussion on integrated STEM education

J Ortiz-Revilla, A Adúriz-Bravo, IM Greca - Science & Education, 2020 - Springer
In primary and secondary schools, the disciplines encompassed in “STEM”—Science,
Technology, Engineering and Mathematics—have usually been studied as separate …

Editors-in-Chief Rédacteurs-en-chef J. Borwein

K Dilcher - 2005 - Springer
Variational arguments are classical techniques whose use can be traced back to the early
development of the calculus of variations and further. Rooted in the physical principle of …

Technologies to enhance and extend children's understanding of geometry: A configurative thematic synthesis of the literature

H Crompton, MR Grant, KYH Shraim - Journal of Educational Technology & …, 2018 - JSTOR
Empirical evidence indicates that students are not learning geometry with relational
understanding of the concepts. Studies have shown that digital technologies can support …

[BOK][B] Elementary functions

JM Muller, JM Muller - 2006 - Springer
This book is devoted to the computation of the elementary functions. Here, we call
elementary functions the most commonly used mathematical functions: sin, cos, tan, sin− 1 …

[BOK][B] Convex functions: constructions, characterizations and counterexamples

JM Borwein, JD Vanderwerff - 2010 - archive.austms.org.au
Like differentiability, convexity is a natural and powerful property of functions that plays a
significant role in many areas of mathematics, both pure and applied. It ties together notions …

Integrating Geogebra into the Flipped Learning Approach to Improve Students' Self-Regulated Learning during the COVID-19 Pandemic.

N Ishartono, A Nurcahyo, M Waluyo, HJ Prayitno… - Journal on Mathematics …, 2022 - ERIC
The COVID-19 pandemic has forced an immediate transition from face-to-face learning in
classrooms to online learning, including math learning. Mathematics with abstract working …

[BOK][B] Distribution modulo one and Diophantine approximation

Y Bugeaud - 2012 - books.google.com
This book presents state-of-the-art research on the distribution modulo one of sequences of
integral powers of real numbers and related topics. Most of the results have never before …

[BOK][B] Experimentation in mathematics: Computational paths to discovery

JM Borwein, DH Bailey, R Girgensohn - 2004 - taylorfrancis.com
New mathematical insights and rigorous results are often gained through extensive
experimentation using numerical examples or graphical images and analyzing them. Today …