175 research outputs found
On the local and global comparison of generalized Bajraktarevi\'c means
Given two continuous functions such that is positive
and is strictly monotone, a measurable space , a measurable family
of -variable means , and a probability measure on
the measurable sets , the -variable mean is
defined by The aim of this paper is to study
the local and global comparison problem of these means, i.e., to find
conditions for the generating functions and , for the families
of means and , and for the measures such that the comparison
inequality
be satisfied
The maximal energy of classes of integral circulant graphs
The energy of a graph is the sum of the moduli of the eigenvalues of its
adjacency matrix. We study the energy of integral circulant graphs, also called
gcd graphs, which can be characterized by their vertex count and a set
of divisors of in such a way that they have vertex set
and edge set . For a fixed prime power and a fixed divisor set size , we analyze the maximal energy among all matching integral circulant
graphs. Let be the elements of .
It turns out that the differences between the exponents of
an energy maximal divisor set must satisfy certain balance conditions: (i)
either all equal , or at most the two differences
and may occur; %(for a certain depending on and ) (ii)
there are rules governing the sequence of consecutive
differences. For particular choices of and these conditions already
guarantee maximal energy and its value can be computed explicitly.Comment: Discrete Applied Mathematics (2012
Las respuestas a los conflictos de pareja desde una perspectiva de género: la inteligencia emocional como patrón diferencial
Conflicts that arise in romantic relationships can be one of the greatest causes of suffering when they are not faced
appropriately. Through two studies, this research analyses the differential effect of gender and the influence of emotional
intelligence on conflict-facing responses, as well as their consequences at an individual and relationship level. In Study 1,
we examined the existence of gender differences during conflicts through four independent samples of subjects (N = 727).
After meta-analysing the results, we observed that women responded more expressively and loyally to conflict, while
men had a more negligent response. In our observations in Study 2 (N = 185), emotional intelligence became a key factor
in promoting a constructive response to face conflicts that is adopted by both women and men. Moreover, emotional
intelligence finally favours their psychological well-being and satisfaction with the relationship. This research shows the
importance of emotional skills in confronting conflicts that originate in intimate contexts such as romantic relationships
and their consequences to both men and women.Los conflictos que surgen en las relaciones de pareja pueden ser una de las mayores causas de sufrimiento cuando no
se afrontan idóneamente. A través de dos estudios, esta investigación analiza el efecto diferencial del género así como
la influencia de la inteligencia emocional en el afrontamiento de los conflictos de pareja y sus consecuencias a nivel
individual y relacional. En el estudio 1 se examina la existencia de diferencias de género en el afrontamiento de conflictos
a través de 4 muestras independientes de sujetos (N = 727). Tras metaanalizar los resultados de las mismas se observa
que las mujeres responden de manera más expresiva y leal ante los conflictos, mientras que los hombres emplean una
respuesta más negligente. En el estudio 2 (N = 185) se comprueba como la inteligencia emocional se convierte en un factor
clave al promover el afrontamiento constructivo de conflictos adoptado tanto por mujeres como por hombres, lo que
favorece tanto su bienestar psicológico como la satisfacción con la relación. Esta investigación muestra la importancia de
las habilidades emocionales ante los conflictos que se originan en los contextos más íntimos, como son las relaciones de
pareja, y sus consecuencias tanto en hombres como en mujeres.This paper was made possible thanks to the financing provided by the Spanish Ministry of Education, Culture, and Sports through a university teaching training grant
(FPU16/03023), and by the projects “Macrosocial realities (economic crisis and social class) and psychosocial processes: Trust, welfare, altruism, and politics” (Ref. PSI-2017-
83966-R) (MINECO/AEI/FEDER/UE) and “New ways of gender violence: Risk and protector factors for psychosocial well-being” (Ref. PSI2017-84703-R) (MINECO/AEI/FEDER/UE)
Quasi-Monte Carlo rules for numerical integration over the unit sphere
We study numerical integration on the unit sphere using equal weight quadrature rules, where the weights are such
that constant functions are integrated exactly.
The quadrature points are constructed by lifting a -net given in the
unit square to the sphere by means of an area
preserving map. A similar approach has previously been suggested by Cui and
Freeden [SIAM J. Sci. Comput. 18 (1997), no. 2].
We prove three results. The first one is that the construction is (almost)
optimal with respect to discrepancies based on spherical rectangles. Further we
prove that the point set is asymptotically uniformly distributed on
. And finally, we prove an upper bound on the spherical cap
-discrepancy of order (where denotes the
number of points). This slightly improves upon the bound on the spherical cap
-discrepancy of the construction by Lubotzky, Phillips and Sarnak [Comm.
Pure Appl. Math. 39 (1986), 149--186]. Numerical results suggest that the
-nets lifted to the sphere have spherical cap
-discrepancy converging with the optimal order of
Point sets on the sphere with small spherical cap discrepancy
In this paper we study the geometric discrepancy of explicit constructions of
uniformly distributed points on the two-dimensional unit sphere. We show that
the spherical cap discrepancy of random point sets, of spherical digital nets
and of spherical Fibonacci lattices converges with order . Such point
sets are therefore useful for numerical integration and other computational
simulations. The proof uses an area-preserving Lambert map. A detailed analysis
of the level curves and sets of the pre-images of spherical caps under this map
is given
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