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Advancing mathematics by guiding human intuition with AI
The practice of mathematics involves discovering patterns and using these to formulate and
prove conjectures, resulting in theorems. Since the 1960s, mathematicians have used …
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 …
distributions in random matrix theory that are analytically represented in terms of Painlev\'e …
A framework for epistemological discussion on integrated STEM education
In primary and secondary schools, the disciplines encompassed in “STEM”—Science,
Technology, Engineering and Mathematics—have usually been studied as separate …
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 …
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
Empirical evidence indicates that students are not learning geometry with relational
understanding of the concepts. Studies have shown that digital technologies can support …
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 …
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 …
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.
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 …
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 …
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 …
experimentation using numerical examples or graphical images and analyzing them. Today …