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Domain-Specific Languages of Mathematics: Presenting Mathematical Analysis Using Functional Programming [PDF]

open access: diamondElectronic Proceedings in Theoretical Computer Science, 2016
We present the approach underlying a course on "Domain-Specific Languages of Mathematics", currently being developed at Chalmers in response to difficulties faced by third-year students in learning and applying classical mathematics (mainly real and ...
Cezar Ionescu, Patrik Jansson
doaj   +5 more sources

Analysis and computer implementation of the mathematical model of $180^{^\circ}$ domain structures formation in ferroelectrics

open access: diamondDal nevostochnyi Matematicheskii Zhurnal, 2022
Summary: The study is devoted to the theoretical analysis and numerical implementation of the 2D mathematical model of \(180^{^\circ}\) ferroelectric domain structures formation within the framework of the Landau-Ginzburg-Devonshire thermodynamic approach supplemented by the Landau-Khalatnikov equation to express the polarization dynamics.
E. M. Veselova
openalex   +3 more sources

A Transient Eddy Current Problem on a Moving Domain. Mathematical Analysis [PDF]

open access: greenSIAM Journal on Mathematical Analysis, 2013
The aim of this paper is to introduce and analyze a weak formulation of the transient eddy current problem governing electromagnetic forming in the axisymmetric case. The resulting problem is degenerate parabolic with the time derivative acting on a moving subdomain. Because of this, we have to resort to regularization arguments in order to prove
Alfredo Bermúdez   +4 more
openalex   +6 more sources

Confronting Mathematical Pseudo-Community: A Domain-specific Analysis of a Middle School Mathematics Department [PDF]

open access: diamondEURASIA Journal of Mathematics, Science and Technology Education, 2019
Teacher professional community refers to the extent to which teachers collaborate to further their own and their students’ learning. Peck (1995) drew distinctions between pseudo-community and professional community, where pseudo-communities rely on suppression of conflict and the tacit understandings that it is “against the rules” to challenge others ...
Paul Weinberg
openalex   +2 more sources

Affective domain and mathematics achievement of Colombian students under multiple correspondence analysis [PDF]

open access: goldFrontiers in Education
The literature review indicates that age is a variable related to the students' affect toward mathematics in such a way that the older they are, the less affection they feel for mathematics. In the case of the Department of Norte de Santander, the administration is going to carry out an educational program for 2050, whose aim is to make this region a ...
Raúl Prada Nuñez   +3 more
openalex   +4 more sources

The domain-general and domain-specific role of the semantic neural network in mathematical processing

open access: yesNeuroImage
The role of the visuospatial network in mathematical processing has been established, but the role of the semantic network in mathematical processing remains poorly understood.
Mengyi Li, Xinlin Zhou
doaj   +3 more sources

Analysis of Transcendental Numbers in Various Mathematical Domains

open access: goldInternational Journal of Innovative Science and Research Technology
A transcendental number refers to a number that does not fall among the roots of any nonzero polynomial equation with its coefficients as integers. This section encompasses an in-depth literature review to establish a basic understanding of transcendental numbers. Reviewing the historical development of transcendental number theory, the contributors to
Suman Rani, Sunita
openalex   +2 more sources

An Application of the Caputo Fractional Domain in the Analysis of a COVID-19 Mathematical Model

open access: diamondContemporary Mathematics
Vaccination programs aimed at preventing the spread of the coronavirus appear to have a significant global impact. In this research, we have investigated a mathematical model projecting COVID-19 disease spread by considering five groups of individuals viz. vulnerable, exposed, infected, unreported, recovered, and vaccinated.
Chandrali Baishya   +2 more
openalex   +3 more sources

A longitudinal analysis on trend of mathematical affective domain

open access: diamondThe Mathematical Education, 2016
Hyunju Kim, Won Kyung Kim
openalex   +2 more sources

Mathematical analysis of superconductivity in a domain with corners: semi-classical and numerical methods

open access: green, 2003
La théorie de la supraconductivité, modélisée par Ginzburg et Landau, motive les travaux relatifs à l'opérateur de Schrödinger avec champ magnétique. L'objet de cette thèse est d'analyser l'influence de la géométrie du domaine sur l'apparition de la supraconductivité en étendant les résultats existant pour des domaines réguliers à des domaines à coins.
Virginie Bonnaillie
openalex   +3 more sources

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