Results 21 to 30 of about 2,764,315 (203)

Active learning increases student performance in science, engineering, and mathematics

open access: yesProceedings of the National Academy of Sciences of the United States of America, 2014
Significance The President’s Council of Advisors on Science and Technology has called for a 33% increase in the number of science, technology, engineering, and mathematics (STEM) bachelor’s degrees completed per year and recommended adoption of ...
S. Freeman   +6 more
semanticscholar   +1 more source

Local Availability of mathematics and number scaling: Effects on quantum physics

open access: yes, 2012
Local availability of mathematics and number scaling provide an approach to a coherent theory of physics and mathematics. Local availability of mathematics assigns separate mathematical universes, U_{x}, to each space time point, x.
Benioff, Paul
core   +1 more source

Summing Squares and Cubes of Integers [PDF]

open access: yes, 2015
Recreational mathematics can provide students with opportunities to explore mathematics in meaningful ways. Elementary number theory is one area of mathematics that lends itself readily to recreational mathematics.
Minor, Darrell
core  

A result on polynomials derived via graph theory

open access: yes, 2019
We present an example of a result in graph theory that is used to obtain a result in another branch of mathematics. More precisely, we show that the isomorphism of certain directed graphs implies that some trinomials over finite fields have the same ...
Coulter, Robert S.   +3 more
core   +1 more source

Yang-Mills theory and Tamagawa numbers: the fascination of unexpected links in mathematics [PDF]

open access: yesBulletin of the London Mathematical Society, 2008
Accepted for publication in the Bulletin of the London Mathematical ...
Asok, A, Doran, B, Kirwan, F
openaire   +4 more sources

Some problems in mathematics and mathematical physics [PDF]

open access: yesarXiv, 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  

A Mathematical Picture Language Program [PDF]

open access: yesPNAS 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

Aristotelianism in the Philosophy of Mathematics [PDF]

open access: yes, 2011
Modern philosophy of mathematics has been dominated by Platonism and nominalism, to the neglect of the Aristotelian realist option. Aristotelianism holds that mathematics studies certain real properties of the world – mathematics is neither about a ...
Franklin, James
core  

Chutes and Ladders with Large Spinners

open access: yes, 2014
We prove a conjecture from a 2011 College Mathematics Journal article addressing the expected number of turns in a Chutes and Ladders game when the spinner range is close to the length of the board.
Connors, Darcie E., Glass, Darren B.
core   +1 more source

Another Formulation of the Wick's Theorem. Farewell, Pairing?

open access: yes, 2015
The algebraic formulation of Wick's theorem that allows one to present the vacuum or thermal averages of the chronological product of an arbitrary number of field operators as a determinant (permanent) of the matrix is proposed.
Beloussov, Igor V.
core   +2 more sources

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