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Mathematics
AFM
[Annals of Formalized Mathematics]
AFM
Annals of Formalized Mathematics
Founded in 2024, the MathOA-supported journal Annals of Formalized Mathematics publishes original articles about formalized mathematics and mathematical applications of proof assistants. The journal accepts papers in English that are typically accompanied by a code artifact.
- Director of publication: Jos Baeten
- Managing Editors: Robert Y. Lewis ; Filippo A. E. Nuccio Mortarino Majno di Capriglio
- Medium: electronic
- Frequency: continuous
- Date created: 2024
- Date of publication on Episciences: 2024
- Subjects: formalized mathematics
- Language of publication: English
- Review process: single blind peer review
- CC BY 4.0 licence
- Publisher: MathOA
- Address: Centrum Wiskunde & Informatica, P.O. Box 94079, 1090 GB Amsterdam
- Country: The Netherlands
- Contact: afm AT episciences.org
Mathematics
CM
[Communications in Mathematics]
CM
Communications in Mathematics
Communications in Mathematics—created in 2009—is the continuation of the journal Acta Mathematica et Informatica Universitatis Ostraviensis, founded in 1993, which became Acta Mathematica Universitatis Ostraviensis in 2003. Communications in Mathematics publishes research and review articles in English in all areas of pure and applied mathematics, mathematical physics and computer science.
- Director of publication: Jan Lata
- Editor-in-chief: Ivan Kaygorodov
- Medium: electronic
- Frequency: annual
- Date created: 2009
- Date of publication on Episciences: 2021
- eISSN: 2336-1298
- Subjects: mathematics
- Languages of publication: English
- Review process: single blind peer review
- CC BY-SA 4.0 licence
- Publisher: University of Ostrava
- Address: Dvořákova 7, 701 03 Ostrava
- Country: Czech Republic
- Contact: cm AT episciences.org
Latest articles
$\sigma$-matching and interchangeable structures on certain associative algebras
We describe $\sigma$-matching, interchangeable and, as a consequence, totally compatible products on some classes of associative algebras, including unital algebras, the semigroup algebras of rectangular bands, algebras with enough idempotents, free non-unital associative algebras and free non-unital commutative associative algebras.
Khrypchenko, Mykola
November 20, 2024
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The Pell Tower and Ostronometry
Conway and Ryba considered a table of bi-infinite Fibonacci sequences and discovered new interesting patterns. We extend their considerations to tables that are defined by the recurrence $X_{n+1}=dX_n+X_{n-1}$ for natural numbers $d$. In our search for new patterns we run into a Red Wall and exotic numeration systems.
Fokkink, Robbert
October 30, 2024
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Mathematics
EpiDEMES
[Épijournal de Didactique et Epistémologie des Mathématiques pour l’Enseignement Supérieur]
EpiDEMES
Épijournal de Didactique et Epistémologie des Mathématiques pour l’Enseignement Supérieur
Epijournal de Didactique et Epistémologie des Mathématiques pour l’Enseignement Supérieur (EpiDEMES) is a peer-reviewed journal founded in 2019 that publishes articles in French or English. EpiDEMES aims to build a documentary base for the initial and continuing education of teachers in higher education. The fields covered are didactics and epistemology of mathematics (AMS 97-XX Mathematics Education classification) with the object of study being mathematics in higher education and the phenomena linked to its teaching-learning.
- Director of publication: Nicolas Grenier-Boley
- Editors-in-chief: Nicolas Grenier-Boley and Hussein Sabra
- Medium: electronic
- Frequency: biannual
- Date created: 2019
- Date of publication on Episciences: 2019
- eISSN: 2970-166X
- Subjects: mathematics, didactics of mathematics
- Languages of publication: English, French
- Review process: single blind peer review
- CC BY-SA 4.0 licence
- Country: France
- Contact: epidemes AT episciences.org
Latest articles
Quelle est la place des exemples dans l'enseignement de l'algèbre abstraite ?
Enseigner l'algèbre abstraite, vue comme l'étude des structures et des propriétés des structures, à un niveau universitaire apparaît être un challenge pour les corps étudiant et professoral. Les professeurs de notre étude décrivent ce passage à travers l'abstraction pour le corps étudiant comme un « jeu de massacre », un « mur infranchissable » ou encore « un saut à travers l'abstraction ». Dans cet article, en appui sur une étude de cas (Candy, 2020) nous allons étudier les choix de professeurs enseignant l'algèbre abstraite à l'université. Ces professeurs ont été choisis car ils enseignent l'algèbre abstraite à l'université en France, de plus ils nous ont donné accès à leur corpus de cours et ont accepté d'être interviewés. Dans cet article, nous choisirons d'étudier en particulier l'enseignement du concept d'idéal. Une analyse épistémologique nous permettra de mettre en évidence son rôle central dans la construction de l'algèbre abstraite. Puis, en utilisant la théorie anthropologique du didactique (Chevallard, 1998), nous chercherons à préciser la place des exemples et exercices dans la praxis du corps étudiant.
Stalder, Julie
June 29, 2023
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Conceptions des étudiants des classes préparatoires en Tunisie sur l'intégrale de Riemann
The integral is one of the most important topics in Calculus that is difficult to be understood by many students. When solving definite integral application problems, previous research emphasizes that students found the antiderivative procedure more useful and easier than the approximation process or area (Akrouti, 2020). This paper focuses on students' conceptions of the definite integral in the first year of preparatory class. Data were collected from students' written responses to questions that relate to their views of integration. The analysis shows that the majority of students choose the algebraic process to evaluate the proposed integrals. Participants were first-semester calculus students enrolled in a public university.
Akrouti, Inen
June 06, 2023
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Mathematics
Epiga
[Épijournal de Géométrie Algébrique]
Epiga
Épijournal de Géométrie Algébrique
Epijournal de Géométrie Algébrique (Epiga) is a peer-reviewed mathematics journal created in 2016. Supported by the Epiga Association, it publishes articles annually in French or in English. The fields covered are algebraic geometry in the broadest sense, including complex and arithmetic geometry, algebraic group theory and representations.
- Director of publication: Pierre-Emmanuel Chaput
- Coordinating editor: Stéphane Druel
- Medium: electronic
- Frequency: annual
- Date created: 2016
- Date of publication on Episciences: 2016
- eISSN: 2491-6765
- Subjects: mathematics, algebraic geometry
- Languages of publication: English, French
- Review process: single blind peer review
- CC BY-SA 4.0 licence
- Publisher: Association Épiga
- Address: Institut Elie Cartan de Lorraine, Université de Lorraine, BP 70239, 54506 Vandœuvre-lès-Nancy Cedex
- Country: France
- Contact: epiga AT episciences.org
Latest articles
Deformations of some local Calabi-Yau manifolds
We study deformations of certain crepant resolutions of isolated rational Gorenstein singularities. After a general discussion of the deformation theory, we specialize to dimension $3$ and consider examples which are good (log) resolutions as well as the case of small resolutions. We obtain some partial results on the classification of canonical threefold singularities that admit good crepant resolutions. Finally, we study a noncrepant example, the blowup of a small resolution whose exceptional set is a smooth curve.
Friedman, Robert
November 05, 2024
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Logarithmic resolution via multi-weighted blow-ups
We first introduce and study the notion of multi-weighted blow-ups, which is later used to systematically construct an explicit yet efficient algorithm for functorial logarithmic resolution in characteristic zero, in the sense of Hironaka. Specifically, for a singular, reduced closed subscheme $X$ of a smooth scheme $Y$ over a field of characteristic zero, we resolve the singularities of $X$ by taking proper transforms $X_i \subset Y_i$ along a sequence of multi-weighted blow-ups $Y_N \to Y_{N-1} \to \dotsb \to Y_0 = Y$ which satisfies the following properties: (i) the $Y_i$ are smooth Artin stacks with simple normal crossing exceptional loci; (ii) at each step we always blow up the worst singular locus of $X_i$, and witness on $X_{i+1}$ an immediate improvement in singularities; (iii) and finally, the singular locus of $X$ is transformed into a simple normal crossing divisor on $X_N$.
Abramovich, Dan
October 31, 2024
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Mathematics
HRJ
[Hardy-Ramanujan Journal]
HRJ
Hardy-Ramanujan Journal
Created in 1978, Hardy-Ramanujan Journal is a peer-reviewed journal. Published by the Hardy-Ramanujan Society, it publishes articles in English in fundamental mathematics, more specifically in number theory.
- Director of publication: C.S. Aravinda
- Editors-in-chief: C.S. Aravinda ; Atul Dixit ; Kotyada Srinivas
- Medium: electronic
- Frequency: annual
- Date created: 1978
- Date of publication on Episciences: 2014
- eISSN: 2804-7370
- Subjects: mathematics, number theory
- Languages of publication: English
- Review process: single blind peer review
- CC BY 4.0 licence
- Publisher: Hardy-Ramanujan Society
- Address: Bhavana Trust, No.24, `Athreya’ 21st Main, 2nd Block, BSK I Stage BANGALORE — 560 050
- Country: India
- Contact: hrj AT episciences.org
Latest articles
CLASS NUMBER FORMULAS FOR CERTAIN BIQUADRATIC FIELDS
We consider the class numbers of imaginary quadratic extensions $F(\sqrt{-p})$, for certain primes $p$, of totally real quadratic fields $F$ which have class number one. Using seminal work of Shintani, we obtain two elementary class number formulas for many such fields. The first expresses the class number as an alternating sum of terms that we generate from the coefficients of the power series expansions of two simple rational functions that depend on the arithmetic of $F$ and $p$. The second makes use of expansions of $1/p$, where $p$ is a prime such that $p \equiv 3 \pmod{4}$ and $p$ remains inert in $F$. More precisely, for a generator $\varepsilon_F$ of the totally positive unit group of $\mathcal{O}_F$, the base-$\varepsilon_{F}$ expansion of $1/p$ has period length $\ell_{F,p}$, and our second class number formula expresses the class number as a finite sum over disjoint cosets of size $\ell_{F,p}$.
Athaide, Elizabeth
February 28, 2024
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A generalization of a fourth irreducibility theorem of I. Schur
In 1929, Issai Schur investigated the irreducibility over the rationals of a few different polynomials. Generalizations of all but one were previously given in the literature, and this paper establishes a more general result of the last one.
Filaseta, Michael
February 19, 2024
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Mathematics
jGCC
[journal of Groups, Complexity, Cryptology]
jGCC
journal of Groups, Complexity, Cryptology
The journal of Groups, Complexity, Cryptology (jGCC) is the continuation of the journal Groups, Complexity, Cryptology created in 2009. A peer-reviewed biannual journal, jGCC publishes research articles in the fields of combinatorial and computational group theory, complexity theory and cryptology.
- Director of publication: Murray Elder
- Editors-in-chief: Murray Elder ; Vladimir Shpilrain
- Medium: electronic
- Frequency: biannual
- Date created: 2009
- Date of publication on Episciences: 2020
- eISSN: 1869-6104
- Subjects: combinatorial and computational group theory, complexity theory, cryptology
- Language of publication: English
- Review process: single blind peer review
- CC BY 4.0 licence
- Contact: gcc-contact AT episciences.org
Latest articles
Computing the unit group of a commutative finite $\mathbb{Z}$-algebra
For a commutative finite $\mathbb{Z}$-algebra, i.e., for a commutative ring $R$ whose additive group is finitely generated, it is known that the group of units of $R$ is finitely generated, as well. Our main results are algorithms to compute generators and the structure of this group. This is achieved by reducing the task first to the case of reduced rings, then to torsion-free reduced rings, and finally to an order in a reduced ring. The simplified cases are treated via a calculation of exponent lattices and various algorithms to compute the minimal primes, primitive idempotents, and other basic objects. All algorithms have been implemented and are available as a SageMath package. Whenever possible, the time complexity of the described methods is tracked carefully.
Kreuzer, Martin
July 31, 2024
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Groups of F-Type
We consider a class of groups, called groups of F-type, which includes some known and important classes like Fuchsian groups of geometric rank $\ge 3$, surface groups of genus $\ge 2$, cyclically pinched one-relator groups and torus-knot groups, and discuss algebraic and geometric properties of groups of F-type.
Fine, Benjamin
July 27, 2024
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Mathematics
JNSAO
[Journal of Nonsmooth Analysis and Optimization]
JNSAO
Journal of Nonsmooth Analysis and Optimization
Established in 2019, the Journal of Nonsmooth Analysis and Optimization (JNSAO) publishes articles in English on all aspects of nonsmooth analysis related to optimization and equilibrium problems.
- Director of publication: Christian Clason
- Editors-in-chief: Christian Clason ; Tuomo Valkonen
- Medium: electronic
- Frequency: continuous
- Date created: 2019
- Date of publication on Episciences: 2019
- eISSN: 2700-7448
- Subjects: variational analysis, theory and algorithms for nonsmooth optimization and equilibrium problems, robust and chance-constrained stochastic optimization
- Language of publication: English
- Review process: single blind peer review
- CC BY 4.0 licence
- Contact: jnsao AT episciences.org
Latest articles
A topological derivative-based algorithm to solve optimal control problems with $L^0(\Omega)$ control cost
In this paper, we consider optimization problems with $L^0$-cost of the controls. Here, we take the support of the control as independent optimization variable. Topological derivatives of the corresponding value function with respect to variations of the support are derived. These topological derivatives are used in a novel gradient descent algorithm with Armijo line-search. Under suitable assumptions, the algorithm produces a minimizing sequence.
Wachsmuth, Daniel
June 26, 2024
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Local properties and augmented Lagrangians in fully nonconvex composite optimization
A broad class of optimization problems can be cast in composite form, that is, considering the minimization of the composition of a lower semicontinuous function with a differentiable mapping. This paper investigates the versatile template of composite optimization without any convexity assumptions. First- and second-order optimality conditions are discussed. We highlight the difficulties that stem from the lack of convexity when dealing with necessary conditions in a Lagrangian framework and when considering error bounds. Building upon these characterizations, a local convergence analysis is delineated for a recently developed augmented Lagrangian method, deriving rates of convergence in the fully nonconvex setting.
De Marchi, Alberto
May 16, 2024
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Mathematics
OCNMP
[Open Communications in Nonlinear Mathematical Physics]
OCNMP
Open Communications in Nonlinear Mathematical Physics
Created in 2020, Open Communications in Nonlinear Mathematical Physics (OCNMP) is a mathematical journal focusing on nonlinear problems in mathematical physics. It publishes annual articles in English.
- Director of publication: Norbert Euler
- Editor-in-chief: Norbert Euler
- Medium: electronic
- Frequency: annual
- Date created: 2020
- Date of publication on Episciences: 2021
- eISSN: 2802-9356
- Subjects: mathematics, mathematical physics, non-linear sciences
- Languages of publication: English
- Review process: single blind peer review
- CC BY 4.0 licence
- Publisher: International Society of Nonlinear Mathematical Physics
- Address: Auf der Hardt 27, 56130 Bad Ems
- Country: Germany
- Contact: ocnmp AT episciences.org
Latest articles
The Volterra Integrable case. Novel analytical and numerical results
In the present paper we reconsider the integrable case of the Hamiltonian $N$-species Volterra system, as it has been introduced by Vito Volterra in 1937 and significantly enrich the results already published in the ArXiv in 2019 by two of the present authors (M. Scalia and O. Ragnisco). In fact, we present a new approach to the construction of conserved quantities and comment about the solutions of the equations of motion; we display mostly new analytical and numerical results, starting from the classical predator-prey model and arriving at the general $N$-species model
Scalia, M.
October 12, 2024
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Kontsevich's star-product up to order 7 for affine Poisson brackets: where are the Riemann zeta values?
The Kontsevich star-product admits a well-defined restriction to the class of affine -- in particular, linear -- Poisson brackets; its graph expansion consists only of Kontsevich's graphs with in-degree $\leqslant 1$ for aerial vertices. We obtain the formula $\star_{\text{aff}}\text{ mod }\bar{o}(\hbar^7)$ with harmonic propagators for the graph weights (over $n\leqslant 7$ aerial vertices); we verify that all these weights satisfy the cyclic weight relations by Shoikhet--Felder--Willwacher, that they match the computations using the $\textsf{kontsevint}$ software by Panzer, and the resulting affine star-product is associative modulo $\bar{o}(\hbar^7)$. We discover that the Riemann zeta value $\zeta(3)^2/\pi^6$, which enters the harmonic graph weights (up to rationals), actually disappears from the analytic formula of $\star_{\text{aff}}\text{ mod }\bar{o}(\hbar^7)$ \textit{because} all the $\mathbb{Q}$-linear combinations of Kontsevich graphs near $\zeta(3)^2/\pi^6$ represent differential consequences of the Jacobi identity for the affine Poisson bracket, hence their contribution vanishes. We thus derive a ready-to-use shorter formula $\star_{\text{aff}}^{\text{red}}$ mod~$\bar{o}(\hbar^7)$ with only rational coefficients.
Buring, Ricardo
October 03, 2024
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Mathematics
RDM
[Recherche en Didactique des Mathématiques]
RDM
Recherche en Didactique des Mathématiques
Founded in 1980, Recherches en Didactique des Mathématiques is an international journal of fundamental research in the didactics of mathematics. Edited by the Association pour la Recherche en Didactique des Mathématiques, it publishes articles in English, French and Spanish three times a year.
- Director of publication: Marie-Line Gardes
- Editorial manager: Cécile Ouvrier-Buffet
- Editors-in-chief: Nicolas Grenier-Boley and Sophie Soury-Lavergne
- Medium: electronic
- Frequency: three volumes per year
- Date created: 1980
- Date of publication on Episciences: 2023
- eISSN: 2728-2422
- Subjects: applied mathematics, didactics of mathematics
- Languages of publication: English, French, Spanish
- Review process: single blind peer review
- CC BY 4.0 licence
- Publisher: Association pour la Recherche en Didactique des Mathématiques (ARDM)
- Address: Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 Paris
- Country: France
- Contact: rdm AT episciences.org