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International Journal of Instruction, 2021 Critical thinking (CT) is a type of convergent thinking explored when students learn mathematics. This study aims to obtain a comprehensive representation of students' mathematical Critical Thinking (CT) abilities, based on the mathematical ability level.
M. Marzuki +3 more
semanticscholar +1 more source
Experimental Mathematics and Mathematical Physics [PDF]
Contemp. Math. 517 (Amer. Math. Soc., 2010), 41--58, 2010 One of the most effective techniques of experimental mathematics is to compute mathematical entities such as integrals, series or limits to high precision, then attempt to recognize the resulting numerical values. Recently these techniques have been applied with great success to problems in mathematical physics. Notable among these applications are the
arxiv +1 more source
Aspects of theory on semiotics representations registers expressed by graduates in mathematics
Scientific Electronic Archives, 2015 In this paper, we seek to analyze responses given by a group of graduates in Natural Sciences and Mathematics, specialization in Mathematics (NSM-SM) from the Federal University of Mato Grosso, Campus of Sinop, compared to a set of four episodes adapted by us from what is shown by Maranhão & Igliori (2003), Duval (2009, 2011, 2011b) that deal with ...
Eberson Paulo Trevisan, J. L. M. Freitas
openaire +4 more sources
MacMahon's Master Theorem, Representation Theory, and Moments of Wishart Distributions
Advances in Applied Mathematics, 2001 D. Foata and D. Zeilberger (1988, SIAM J. Discrete Math. 4 , 425–433) and D. Vere-Jones (1988, Linear Algebra Appl. 111 , 119–124) independently derived a generalization of MacMahon's master theorem.
I. Lu, D. Richards
semanticscholar +1 more source
Information Compression, Multiple Alignment, and the Representation and Processing of Knowledge in the Brain [PDF]
Frontiers in Psychology, 2016 The SP theory of intelligence, with its realization in the SP computer model, aims to simplify and integrate observations and concepts across artificial intelligence, mainstream computing, mathematics, and human perception and cognition, with information
A. Roy, Jonathan C. W. Edwards, J. Wolff
semanticscholar +1 more source
Representation theory of finite groups
, 2011 In a nutshell, representation theory studies finite groups through " linear representations " , or more concretely, group homomorphisms from a given finite group G to the group GL n (C), the group of complex invertible n × n matrices.
Charlotte Chan +2 more
semanticscholar +1 more source
Report on "Geometry and representation theory of tensors for computer science, statistics and other areas." [PDF]
, 2008 This is a technical report on the proceedings of the workshop held July 21 to July 25, 2008 at the American Institute of Mathematics, Palo Alto, California, organized by Joseph Landsberg, Lek-Heng Lim, Jason Morton, and Jerzy Weyman. We include a list of
Oeding, Luke
core
Some problems in mathematics and mathematical physics [PDF]
arXiv, 2020 We discuss new approaches to fundamental problems of mathematics and mathematical physics such as mathematical foundation of quantum field theory, the Riemann hypothesis, and construction of noncommutative algebraic geometry.
arxiv
Anomaly constraints and string/F-theory geometry in 6D quantum gravity
, 2010 Quantum anomalies, determined by the Atiyah-Singer index theorem, place strong constraints on the space of quantum gravity theories in six dimensions with minimal supersymmetry.
Taylor, Washington
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A Mathematical Picture Language Program [PDF]
PNAS January 2 2018 vol 115 page 81-86, 2017 We give an overview of our philosophy of pictures in mathematics. We emphasize a bi-directional process between picture language and mathematical concepts: abstraction and simulation. This motivates a program to understand different subjects, using virtual and real mathematical concepts simulated by pictures.
arxiv +1 more source