Search results for " Unity"
showing 10 items of 24 documents
The Catholic Nation under Liberalism. Perspectives on Religious Unity in Liberal Spain, 1808-1868
2015
El artículo estudia los significados históricos que tuvo la afirmación de la unidad religiosa de la nación española en el liberalismo decimonónico. A partir de las premisas historiográficas que han renovado las reflexiones en torno a las relaciones entre religión, política y nación, los autores analizan la herencia plural de los ilustrados del último tercio del siglo XVIII y el sentido de la homogeneidad confesional de la nación soberana, esbozada por la Constitución de 1812. La confesionalidad religiosa no impidió las posibilidades de emancipación individual. Por el contrario, el primer liberalismo tendió a un reforzamiento mutuo de las identidades religiosa y nacional, al tiempo que confi…
Property and cross-border couples from the perspective of European regulation
2021
The family property regimes constitute a relevant sector of the EU regulatory framework strongly connected with fundamental rights policies. Family property offers specific issues which need to balance individual rights with general interests, especially in matter of real estate property. The fragmentation of the discipline in EU Family law, the diversity of the domestic rules regarding rights in rem requires a large use of flexibility from EU legislator and EU legal professionals. The discipline provides by EU Regulations 1103 and 1104/2016 could be an interesting example to manage cross-border couple?s interests: the principles of universality and unity have to be used appropriately and, …
A note on quarkonial systems and multilevel partition of unity methods
2013
We discuss the connection between the theory of quarkonial decompositions for function spaces developed by Hans Triebel, and the multilevel partition of unity method. The central result is an alternative approach to the stability of quarkonial decompositions in Besov spaces , s > n(1/p − 1)+, which leads to relaxed decay assumptions on the elements of a quarkonial system as the monomial degree grows.
Zu einem Satz von Isaacs �ber das Casus-Irreducibilis Ph�nomen
2000
Let \(\Omega \) be a field (of characteristic 0). A prime p is called “bose” (naughty) if \(\Omega \) contains all p-th roots of unity. In this paper the theorem is proved: Let K be an admissible subfield of \(\Omega \) (i.e. for each prime p K contains all p-th roots of unity lying in \(\Omega \)), a an algebraic element of \(\Omega /K\) which is contained in a repeated radical extension of K lying in \(\Omega \). Furthermore let the normal hull L of a over K be contained in \(\Omega \). Then all prime divisors of \(\mid L : K \mid \) are naughty (and L is a repeated radical extension of K with naughty prime exponents). This result generalises a theorem of Isaacs [1] who treats the case \(…
Elementary Integration of Superelliptic Integrals
2021
Consider a superelliptic integral $I=\int P/(Q S^{1/k}) dx$ with $\mathbb{K}=\mathbb{Q}(\xi)$, $\xi$ a primitive $k$th root of unity, $P,Q,S\in\mathbb{K}[x]$ and $S$ has simple roots and degree coprime with $k$. Note $d$ the maximum of the degree of $P,Q,S$, $h$ the logarithmic height of the coefficients and $g$ the genus of $y^k-S(x)$. We present an algorithm which solves the elementary integration problem of $I$ generically in $O((kd)^{\omega+2g+1} h^{g+1})$ operations.
Computing generators of the tame kernel of a global function field
2006
Abstract The group K 2 of a curve C over a finite field is equal to the tame kernel of the corresponding function field. We describe two algorithms for computing generators of the tame kernel of a global function field. The first algorithm uses the transfer map and the fact that the l -torsion can easily be described if the ground field contains the l th roots of unity. The second method is inspired by an algorithm of Belabas and Gangl for computing generators of K 2 of the ring of integers in a number field. We finally give the generators of the tame kernel for some elliptic function fields.
Evaluating Multiple Polylogarithm Values at Sixth Roots of Unity up to Weight Six
2017
We evaluate multiple polylogarithm values at sixth roots of unity up to weight six, i.e. of the form $G(a_1,\ldots,a_w;1)$ where the indices $a_i$ are equal to zero or a sixth root of unity, with $a_1\neq 1$. For $w\leq 6$, we present bases of the linear spaces generated by the real and imaginary parts of $G(a_1,\ldots,a_w;1)$ and present a table for expressing them as linear combinations of the elements of the bases.
The $q$-calculus for generic $q$ and $q$ a root of unity
1996
The $q$-calculus for generic $q$ is developed and related to the deformed oscillator of parameter $q^{1/2}$. By passing with care to the limit in which $q$ is a root of unity, one uncovers the full algebraic structure of ${{\cal Z}}_n$-graded fractional supersymmetry and its natural representation.
Una realidad social escindida: Las memorias de las peras y las manzanas en el Chile reciente
2014
Forty years after the military coup that bloodied Chile during the years of military dictatorship, the country is still splitted with a society which is still in a traumatic situation. In this paper we have worked with audio-visual sources, which we call Video Format Documents (VFD), produced from the sixties onwards. This article is based on sources that allow us a deeper understanding of the society in which they were produced; a society −as it is said by a character of one of the most successful films in Chile−, divided into pears and apples.
A Riemann-Type Integral on a Measure Space
2005
In a compact Hausdorff measure space we define an integral by partitions of the unity and prove that it is nonabsolutely convergent.