Results 61 to 70 of about 781 (187)

Counting 5‐isogenies of elliptic curves over Q$\mathbb {Q}$

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract We show that the number of 5‐isogenies of elliptic curves defined over Q$\mathbb {Q}$ with naive height bounded by H>0$H > 0$ is asymptotic to C5·H1/6(logH)2$C_5\cdot H^{1/6} (\log H)^2$ for some explicitly computable constant C5>0$C_5 > 0$. This settles the asymptotic count of rational points on the genus zero modular curves X0(m)$\mathcal {X}
Santiago Arango‐Piñeros, Changho Han, Oana Padurariu, Sun Woo Park   +3 more
wiley   +1 more source

A Vulnerability Lens for Intuitive‐Logic Scenarios

FUTURES &FORESIGHT SCIENCE, Volume 8, Issue 1, April 2026.
ABSTRACT Exploration of possibilities by means of intuitive logic is hampered by a large number of scenarios, which easily exceed the limits imposed by human bounded rationality. While many practitioners constrain their scenarios within a 2 × 2 $2\times 2$ matrix by design, more structured approaches point to rationales such as eliminating ...
Guido Fioretti
wiley   +1 more source

Galois Connections: Mathematics, Art, and Archives [PDF]

Electronic Workshops in Computing, 2015
Evariste Galois (1811--1832) has been increasingly recognised as an important mathematician who despite his short life developed mathematical ideas that today have applications in computer science (such as Galois connections) and elsewhere. Some of Galois' mathematics can be visualised in interesting and even artistic ways, aided using software.
Jonathan P. Bowen, Tula Giannini
openaire   +1 more source

Traces of Hecke operators on Drinfeld modular forms for GL2(Fq[T])$\operatorname{GL}_2(\mathbb {F}_q[T])$

Mathematika, Volume 72, Issue 2, April 2026.
Abstract In this paper, we study traces of Hecke operators on Drinfeld modular forms of level 1 in the case A=Fq[T]$A = \mathbb {F}_q[T]$. We deduce closed‐form expressions for traces of Hecke operators corresponding to primes of degree at most 2 and provide algorithms for primes of higher degree.
Sjoerd de Vries
wiley   +1 more source

Pair algebras and Galois connections Citation for published version (APA): Pair Algebras and Galois Connections by Pair Algebras and Galois Connections [PDF]

, 1998
Most studies of Galois connections begin with a function and ask the question: when is there a second function that is connected to the first? In possibly the very first application of Galois connections directly related to the modern digital computer ...
Roland Backhouse
core  

Galois Connections, T-CUBES, and P2P Data Mining [PDF]

, 2007
Galois connections are bread and butter of the formal concept analysis. They concern objects with properties, represented typically as a single-valued (.true or null) binary attributes. The closed sets and Galois lattices are the most studied connections.
Litwin, Witold
core   +1 more source

Connections of L-Quasi-Internal and L-Quasi-Enclosed Spaces with L-Grills, L-Filters and L-Neighborhood Spaces

Axioms
The paper establishes a categorical framework linking L-quasi-internal and L-quasi-enclosed spaces with L-filter, L-grill, and L-neighborhood spaces within the context of complete lattices. We define and characterize L-quasi-internal and L-quasi-enclosed
Anwar J. Fawakhreh
doaj   +1 more source

Ordinary primes for GL2$\operatorname{GL}_2$‐type abelian varieties and weight 2 modular forms

Mathematika, Volume 72, Issue 2, April 2026.
Abstract Let A$A$ be a g$g$‐dimensional abelian variety defined over a number field F$F$. It is conjectured that the set of ordinary primes of A$A$ over F$F$ has positive density, and this is known to be true when g=1,2$g=1, 2$, or for certain abelian varieties with extra endomorphisms.
Tian Wang, Pengcheng Zhang
wiley   +1 more source

On the Categories of $\mathcal{LF}$-Ideals, $\mathcal{LF}$-Grills, and $\mathcal{LF}$-Topological Spaces

Axioms
This paper is devoted to the study of the interrelationships among LF-grills, LF-ideals, LF-neighborhoods, LF-topologies, and LF-co-topologies. We establish a categorical framework that demonstrates the interconnections among these concepts. In addition,
Ahmed A. Ramadan, Anwar J. Fawakhreh
doaj   +1 more source

Attribute Implication Bases From Galois Connection Structures

Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2729-2753, 15 March 2026.
ABSTRACT Modeling knowledge systems by determining relationships among key variables have been and currently is a fundamental and nontrivial challenge in real‐world scenarios. Many approaches have been developed to reach this goal, but many of them are heuristic and require of alternative procedures to provide robust and tractable rules.
M. Eugenia Cornejo, Jesús Medina, Francisco José Ocaña   +2 more
wiley   +1 more source