240 research outputs found
abelianbnf
abelianbnf is a gp script computing class groups of abelian fields using the methods described in the paper "Norm relations and computational problems in number fields" by Jean-François Biasse, Claus Fieker, Tommy Hofmann and Aurel Page, available at https://hal.inria.fr/hal-02497890Requires Pari/gp, development version or stable version v2.13+
abelianbnf
abelianbnf is a gp script computing class groups of abelian fields using the methods described in the paper "Norm relations and computational problems in number fields" by Jean-François Biasse, Claus Fieker, Tommy Hofmann and Aurel Page, available at https://hal.inria.fr/hal-02497890Requires Pari/gp, development version or stable version v2.13+
Aurel Page - Construction of subfields and abelian overfields
This tutorial:- construction of subfields of a number field- construction of abelian extensions of a number fieldThese are old functionalities but we made a number of changes to them. If you want to record the commands we will type during thetutorial: ? \l subsupfields.lo
Aurel C. Popovici: At the crossroads of two worlds
Title: La răscrucea a două lumi (At the crossroads of two worlds) Originally published: In the journal Sămănătorul (1908), subsequently republished in Aurel C. Popovici’s Naţionalism sau democraţie. O critică a civilizaţiunii moderne (Bucharest: Minerva, 1910) Language : Romanian The excerpts used are from Aurel C. Popovici, Naţionalism sau democraţie. O critică a civilizaţiunii moderne (Bucharest: Albatros, 1997), pp. 165–168, 170. About the author Aurel Constantin Popovici [1863, Lugoj (Hun..
INSTITUTIONAL MANAGEMENT IN THE KNOWLEDGE SOCIETY
The issue of institutional management has become one of efficiency strategy and identification of performance in the knowledge society. The author, former rector with management experience in university structures analysis the relationship between organization and institution, as well as the extent to which Aurel Vlaicu University of Arad fulfils the demands of a knowledge institution, with didactic and scientific activity
Aspects of a Watermark Solution
Although watermarking is a relatively new technology, there are many ways of applying it on an electronic data set with the purpose of ensuring copyright integrity and authenticity of the electronic data. But, bearing in mind the evolution of information technology and of communication, a watermark may be the target of several attacks which aim at its robustness, its form and even at its removal. In order to reduce these threats, this paper proposes a solution - digital watermarking completed by a hash function which has an important role in the authenticity of the content of a message and in the security of the transmission of this message through computer networks which are the main support of collaborative systems.Digital Watermarking, Hash Functions, Digital Information Security, Collaborative Systems
Liberalism and Conservatism in the Writings of Aurel C. Popovici
In our study we wanted to analyze how the Romanian political activist and ideologist Aurel C. Popovici (1863-1917) perceived liberalism and conservatism, two of the most important ideologies of the nineteenth century. For this purpose, we studied three of his main writings: Principiul de naţionalitate (The Nationality Principle), Statele Unite ale Austriei Mari (The United States of Great Austria) and Naţionalism sau democraţie: o critică a civilizaţiunii moderne (Nationalism or Democracy: a Critical Approach to Modern Civilization). We studied the way in which the renowned Banatian author perceived liberalism, but also the way he percieved several main principles of this ideology: the defense of liberty, the sovereignty of the people, representative government, the refusal of absolutism and pluralism. By analyzing these topics in Aurel C. Popovici’s writings, we identified several paradoxes of his thinking, which we tried to explain by appealing to other sources, like personal letters or memoirs belonging to friends or admirers.
Rezumat: În studiul nostru am dorit să analizăm modul în care activistul politic şi ideologul român Aurel C. Popovici (1863-1917) a perceput liberalismul şi conservatorismul, două dintre cele mai importante ideologii ale secolului al XIX-lea. Astfel, am studiat trei dintre principalele sale scrieri: Principiul de naţionalitate, Statele Unite ale Austriei Mari şi Naţionalism sau democraţie: o critică a civilizaţiilor moderne. Am studiat modul în care renumitul autor bănăţean a perceput liberalismul, dar şi modul în care a realizat mai multe principii importante ale acestei ideologii: apărarea libertăţii, suveranitatea poporului, guvernarea reprezentativă, refuzul absolutismului şi pluralismul. Analizând aceste subiecte în scrierile lui Aurel C. Popovici, am identificat mai multe paradoxuri ale gândirii sale, pe care am încercat să le explicăm apelând la alte surse, precum scrisori personale sau memorii aparţinând prietenilor sau admiratorilor.
Cuvinte cheie: liberalism, conservatorism, Aurel C. Popovici, democraţie, Austro-Ungaria, naţionalism
Aurel PAGE - Cohomology of arithmetic groups and number theory: geometric, asymptotic and computational aspects 1: Summer School 2022 - Cohomology, Geometry and Explicit Number Theory
In this lecture series, the first part will be dedicated to cohomology of arithmetic groups of lower ranks (e.g., Bianchi groups), their associated geometric models (mainly from hyperbolic geometry) and connexion to number theory. The second part will deal with higher rank groups, mainly using Voronoi models and similar complexes (both euclidean and hermitian). We will describe in details the geometric, cohomological and topological tools, as well as Hecke actions on the cohomology of modular groups and asymptotic results. Applications to number theory and K-theory will also be detailled. We will also explain several computational methods and algorithmic improvements in order to get explicit results.The last part of the lectures will be dedicated to open problems
Aurel PAGE - Cohomology of arithmetic groups and number theory: geometric, asymptotic and computational aspects 2: Summer School 2022 - Cohomology, Geometry and Explicit Number Theory
In this lecture series, the first part will be dedicated to cohomology of arithmetic groups of lower ranks (e.g., Bianchi groups), their associated geometric models (mainly from hyperbolic geometry) and connexion to number theory. The second part will deal with higher rank groups, mainly using Voronoi models and similar complexes (both euclidean and hermitian). We will describe in details the geometric, cohomological and topological tools, as well as Hecke actions on the cohomology of modular groups and asymptotic results. Applications to number theory and K-theory will also be detailled. We will also explain several computational methods and algorithmic improvements in order to get explicit results.The last part of the lectures will be dedicated to open problems
Aurel PAGE - Cohomology of arithmetic groups and number theory: geometric, asymptotic and computational aspects 2: Summer School 2022 - Cohomology, Geometry and Explicit Number Theory
In this lecture series, the first part will be dedicated to cohomology of arithmetic groups of lower ranks (e.g., Bianchi groups), their associated geometric models (mainly from hyperbolic geometry) and connexion to number theory. The second part will deal with higher rank groups, mainly using Voronoi models and similar complexes (both euclidean and hermitian). We will describe in details the geometric, cohomological and topological tools, as well as Hecke actions on the cohomology of modular groups and asymptotic results. Applications to number theory and K-theory will also be detailled. We will also explain several computational methods and algorithmic improvements in order to get explicit results.The last part of the lectures will be dedicated to open problems
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