Results 21 to 30 of about 14,166,488 (203)

Formal proofs in real algebraic geometry: from ordered fields to quantifier elimination [PDF]

open access: yesLogical Methods in Computer Science, 2012
This paper describes a formalization of discrete real closed fields in the Coq proof assistant. This abstract structure captures for instance the theory of real algebraic numbers, a decidable subset of real numbers with good algorithmic properties.
Assia Mahboubi, Cyril Cohen
doaj   +1 more source

Finite-time average consensus for multi-agent systems under impulsive disturbances

open access: yesNantong Daxue xuebao. Ziran kexue ban, 2023
This study explores finite-time average consensus in multi-agent systems with switching topologies under impulsive disturbances. Utilizing algebraic graph theory, finite-time stability theorems, and impulsive control theory,criteria for finite-time ...
GENG Xiaopeng; Lü Xiaoxiao
doaj   +1 more source

Square Integer Matrix with a Single Non-Integer Entry in Its Inverse

open access: yesMathematics, 2021
Matrix inversion is one of the most significant operations on a matrix. For any non-singular matrix A∈Zn×n, the inverse of this matrix may contain countless numbers of non-integer entries. These entries could be endless floating-point numbers.
Arif Mandangan   +2 more
doaj   +1 more source

Q_l-cohomology projective planes and singular Enriques surfaces in characteristic two [PDF]

open access: yesÉpijournal de Géométrie Algébrique, 2019
We classify singular Enriques surfaces in characteristic two supporting a rank nine configuration of smooth rational curves. They come in one-dimensional families defined over the prime field, paralleling the situation in other characteristics, but ...
Matthias Schütt
doaj   +1 more source

Prime Spectrum of the Ring of Adeles of a Number Field

open access: yesMathematics, 2022
Much is known about the adele ring of an algebraic number field from the perspective of harmonic analysis and class field theory. However, its ring-theoretical aspects are often ignored.
Álvaro Serrano Holgado
doaj   +1 more source

Rooting out letters: octagonal symbol alphabets and algebraic number theory

open access: yesJournal of High Energy Physics, 2020
It is widely expected that NMHV amplitudes in planar, maximally supersymmetric Yang-Mills theory require symbol letters that are not rationally expressible in terms of momentum-twistor (or cluster) variables starting at two loops for eight particles. Re-
Jacob L. Bourjaily   +5 more
doaj   +1 more source

Investigating Students’ Understanding of Complex Number and Its Relation to Algebraic Group Using and APOS Theory

open access: yesJournal of Medives: Journal of Mathematics Education IKIP Veteran Semarang, 2023
This study focused on students’ inability to correctly use psychometric tests applied for complex numbers in the context of generating an Algebraic abelian group (closure, commutative, associatively, inverse, and identity).
Idowu Oluwaseun Longe   +1 more
doaj   +1 more source

About the Entropy of a Natural Number and a Type of the Entropy of an Ideal

open access: yesEntropy, 2023
In this article, we find some properties of certain types of entropies of a natural number. We are studying a way of measuring the “disorder” of the divisors of a natural number. We compare two of the entropies H and H¯ defined for a natural number.
Nicuşor Minculete, Diana Savin
doaj   +1 more source

Quadratic forms and linear algebraic groups [PDF]

open access: yes, 2009
Topics discussed at the workshop Quadratic Forms and Linear Algebraic Groups included besides the algebraic theory of quadratic and Hermitian forms and their Witt groups several aspects of the theory of linear algebraic groups and homogeneous varieties ...
Harbater, David   +6 more
core   +1 more source

An analogue of Bauer’s theorem for closed orbits of skew products [PDF]

open access: yes, 2008
In this article we prove an analogue of Bauer’s theorem from algebraic number theory in the context of hyperbolic ...
Mark Pollicott   +3 more
core   +1 more source

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