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Situating "Ethics in Mathematics" as a Philosophy of Mathematics Ethics Education [PDF]

Ethics and Mathematics Education. Advances in Mathematics Education. Springer, Cham. 2024, 2022
In this paper, we situate the educational movement of "Ethics in Mathematics," as outlined by the Cambridge University Ethics in Mathematics Project, in the wider area of mathematics ethics education. By focusing on the core message coming out of Ethics in Mathematics, its target group, and educational philosophy, we set it into relation with ...
arxiv   +1 more source

What Dynamic Approaches Have Taught Us About Cognition and What They Have Not: On Values in Motion and the Importance of Replicable Forms

Topics in Cognitive Science, EarlyView., 2023
Abstract Over the past several decades, research in the cognitive sciences has foregrounded the importance of active bodies and their continuous dependence on the changing environment, strengthening the relevance of dynamical models. These models have been steadily developed within the ecological psychology approach to cognition, which arguably ...
Joanna Rączaszek‐Leonardi
wiley   +1 more source

Mathematical Elements of Density Functional Theory [PDF]

, 2022
We review some of the basic mathematical results about density functional theory.
arxiv   +1 more source

Mathematics Turned Inside Out: The Intensive Faculty Versus the Extensive Faculty [PDF]

Higher Education, vol. 61, no. 6, pp. 693-720, 2011, 2011
Research universities in the United States have larger mathematics faculties outside their mathematics departments than inside. Members of this "extensive" faculty conduct most mathematics research, their interests are the most heavily published areas of mathematics, and they teach this mathematics in upper division courses independent of mathematics ...
arxiv   +1 more source

Enumeration and Construction of Row‐Column Designs

Journal of Combinatorial Designs, EarlyView.
ABSTRACT We computationally completely enumerate a number of types of row‐column designs up to isotopism, including double, sesqui, and triple arrays as known from the literature, and two newly introduced types that we call mono arrays and AO‐arrays. We calculate autotopism group sizes for the designs we generate.
Gerold Jäger, Klas Markström, Denys Shcherbak, Lars‐Daniel Öhman   +3 more
wiley   +1 more source

Weighted Turán Theorems With Applications to Ramsey‐Turán Type of Problems

Journal of Graph Theory, EarlyView.
ABSTRACT We study extensions of Turán Theorem in edge‐weighted settings. A particular case of interest is when constraints on the weight of an edge come from the order of the largest clique containing it. These problems are motivated by Ramsey‐Turán type problems.
József Balogh, Domagoj Bradač, Bernard Lidický   +2 more
wiley   +1 more source

Fundamental Solutions and Green's Functions for Certain Elliptic Differential Operators From a Pseudodifferential Algebra

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We have studied possible applications of a particular pseudodifferential algebra in singular analysis for the construction of fundamental solutions and Green's functions of a certain class of elliptic partial differential operators. The pseudodifferential algebra considered in the present work, comprises degenerate partial differential ...
Heinz‐Jürgen Flad, Gohar Flad‐Harutyunyan   +1 more
wiley   +1 more source

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  

On Generalized Avicenna Numbers

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Avicenna numbers that we define in this paper, are a class of figurate numbers, including icosahedral, octahedral, tetrahedral, dodecahedral, rhombicosidodecahedral numbers and cubes, play a key role in mathematics, physics and various scientific fields.
Melih Göcen, Yüksel Soykan
wiley   +1 more source

Abundant Neighborhoods, Two‐Sided Markets, and Maximal Matchings

Naval Research Logistics (NRL), EarlyView.
ABSTRACT I introduce a new graph‐theoretic property called abundant neighborhoods. This property is motivated by studying the thickness of economic markets. A vertex is, roughly, guaranteed to match if and only if it has an abundant neighborhood.
Muhammad Maaz
wiley   +1 more source