An empirical study on faculty perceptions and teaching practices of Wikipedia

Peer-reviewed

Wikipedia in Higher Education: An Empirical Study on Faculty Perceptions and Practices

Peer-reviewed

Examples of retracts in a free group that are not the fixed subgroup of any group of automorphisms

Let F be a free group of rank at least three. We show that some retracts of F previously studied by Martino-Ventura are not equal to the fixed subgroup of any group of automorphisms of F. This shows that, in F, there exist subgroups that are equal to the fixed subgroup of some set of endomorphisms but are not equal to the fixed subgroup of any set of automorphisms. Moreover, we determine the Galois monoids of these retracts, where, by the Galois monoid of a subgroup H of F, we mean the monoid consisting of all endomorphisms of F that fix H.

Free triples, large indifference classes and the majority rule

We present a new domain of preferences under which the majority relation is always quasi-transitive and thus Condorcet winners always exist. We model situations where a set of individuals must choose one individual in the group. Agents are connected through some relationship that can be interpreted as expressing neighborhood, and which is formalized by a graph. Our restriction on preferences is as follows: each agent can freely rank his immediate neighbors, but then he is indifferent between each neighbor and all other agents that this neighbor "leads to". Hence, agents can be highly perceptive regarding their neighbors, while being insensitive to the differences between these and other agents which are further removed from them. We show quasi-transitivity of the majority relation when the graph expressing the neighborhood relation is a tree. We also discuss a further restriction allowing to extend the result for more general graphs. Finally, we compare the proposed restriction with others in the literature, to conclude that it is independent of any previously discussed domain restriction.

Stochastic dominance and absolute risk aversion

In this paper we propose the infimum of the Arrow-Pratt index of absolute risk aversion as a measure of global risk aversion of a utility function. We then show that, for any given arbitrary pair of distributions, there exists a threshold level of global risk aversion such that all increasing concave utility functions with at least as much global risk aversion would rank the two distributions in the same way. Furthermore, this threshold level is sharp in the sense that, for any lower level of global risk aversion, we can find two utility functions in this class yielding opposite preference relations for the two distributions.

An Atkinson-Gini family of social evaluation functions

We investigate the properties of a family of social evaluation functions and inequality indices which merge the features of the family of Atkinson (1970) and S-Gini (Donaldson and Weymark (1980, 1983), Yitzhaki (1983) and Kakwani (1980)) indices. Income inequality aversion is captured by decreasing marginal utilities, and aversion to rank inequality is captured by rank-dependent ethical weights, thus providing an ethically-flexible dual basis for the assessment of inequality and equity. These ocial evaluation functions can be interpreted as average utility corrected for the illfare of relative deprivation. They can alternatively be understood as averages of altruistic well-being in a population. They moreover have a simple graphical interpretation.

Infinite index subgroups and finiteness properties of intersections of geometrically finite groups

We explore which types of finiteness properties are possible for intersections of geometrically finite groups of isometries in negatively curved symmetric rank one spaces. Our main tool is a twist construction which takes as input a geometrically finite group containing a normal subgroup of infinite index with given finiteness properties and infinite Abelian quotient, and produces a pair of geometrically finite groups whose intersection is isomorphic to the normal subgroup.

Cat(0) and Cat (-1) dimensions of torsion free

We show that a particular free-by-cyclic group has CAT(0) dimension equal to 2, but CAT(-1) dimension equal to 3. We also classify the minimal proper 2-dimensional CAT(0) actions of this group; they correspond, up to scaling, to a 1-parameter family of locally CAT(0) piecewise Euclidean metrics on a fixed presentation complex for the group. This information is used to produce an infinite family of 2-dimensional hyperbolic groups, which do not act properly by isometries on any proper CAT(0) metric space of dimension 2. This family includes a free-by-cyclic group with free kernel of rank 6.

Shellability of noncrossing partition lattices

We give a case-free proof that the lattice of noncrossing partitions associated to any finite real reflection group is EL-shellable. Shellability of these lattices was open for the groups of type Dn and those of exceptional type and rank at least three.

Estudi de casos pel control de síntesi d’instruments musicals virtuals mitjançant la veu cantada

Report for the scientific sojourn carried out at the Music Technology Area (Sound Processing and Control Lab), Faculty of Music, McGill University, Montreal, Canada, from October to December 2005.The aim of this research is to study the singing voice for controlling virtual musical instrument synthesis. It includes analysis and synthesis algorithms based on spectral audio processing. After digitalising the acoustic voice signal in the computer, a number of expressive descriptors of the singer are extracted. This process is achieved synchronously, thus all the nuance of the singer performance have been tracked. In a second stage, the extracted parameters are mapped to a sound synthesizer, the so-called digital musical instruments. In order achieve it, several tests with music students of the Faculty of Music, McGill University have been developed. These experiments have contributed to evaluate the system and to derive new control strategies to integrate: clarinet synthesis, bass guitar, visual representation of voice signals.

On the complexity of the Whitehead minimization problem

The Whitehead minimization problem consists in finding a minimum size element in the automorphic orbit of a word, a cyclic word or a finitely generated subgroup in a finite rank free group. We give the first fully polynomial algorithm to solve this problem, that is, an algorithm that is polynomial both in the length of the input word and in the rank of the free group. Earlier algorithms had an exponential dependency in the rank of the free group. It follows that the primitivity problem – to decide whether a word is an element of some basis of the free group – and the free factor problem can also be solved in polynomial time.

Invariants de matrius Hadamard en MAGMA

L'objectiu d'aquest projecte ha estat generalitzar i integrar la funcionalitat de dos projectes anteriors que ampliaven el tractament que oferia el Magma respecte a les matrius de Hadamard. Hem implementat funcions genèriques que permeten construir noves matrius Hadamard de qualsevol mida per a cada rang i dimensió de nucli, i així ampliar la seva base de dades. També hem optimitzat la funció que calcula el nucli, i hem desenvolupat funcions que calculen la invariant Symmetric Hamming Distance Enumerator (SH-DE) proposada per Kai-Tai Fang i Gennian Gei que és més sensible per a la detecció de la no equivalència de les matrius Hadamard.

Evolució i estabilitat d’àcids grassos i vitamines antioxidants a la llet materna

Recerca realitzada durant el periode Gener 2006-Abril 2007, a la Facultat de Farmàcia de la Universitat de Barcelona sota la direcció de la Dra. M. Carmen López Sabater. La nutrició durant els primers anys de vida té una enorme importància, amb repercussions en el creixement i desenvolupament del nen i en les possibles malalties futures. Tenint en compte que la llet materna és l’aliment ideal per al nadó durant els primers sis mesos de vida, és important conéixer la composició nutricional de la mateixa i la seva evolució al llarg de la lactància (calostre, llet de transició i madura). La llet conté nutrients majoritaris (proteïnes, carbohidrats i lípids) i nutrients minoritaris, com vitamines i minerals. S'ha desenvolupat i validat un mètode per a la determinació d'àcids grassos (AG) i Àcid Linoleic Conjugat (CLA) en llet materna per Cromatografia de Gasos "fast" (fast-GC), permetent reduir el temps d'anàlisi considerablement en comparació amb els mètodes utilitzats fins el moment. La repetibilitat i reproducibilitat trobades han estat bones, amb coeficients de variació inferiors al 10% en tots els casos. L'aplicació a 6 mostres de llet materna ha demostrat que es tracta d'un mètode senzill, ràpid, eficient i pràctic per a l'anàlisi rutinari d'un elevat nombre de mostres. També s'ha començat a desenvolupar un mètode per a l'anàlisi dels anàlegs de tocoferol de la llet materna, degut a l'interès de la vitamina E com a antioxidant natural. És un mètode per Cromatografia Líquida d'Ultra Resolució (UPLC) amb detecció per Fluorescència (FD) i per Photodiode Array (PDA) que permet treballar amb quantitats de mostra petites mantenint o inclús millorant la sensibilitat i reduint el temps d’anàlisi.

Aplicatiu de gestió de material multimèdia produït amb Dalet Plus

A principis de 2002, a la facultat de Ciències de la Comunicació de la Universitat Autònoma de Barcelona es va implantar un sistema de digitalització d'àudio, per tal de modernitzar els laboratoris de ràdio i adaptar-los a la realitat actual dels massmedia. Aquest sistema, anomenat Dalet Plus, permet produir, editar i gestionar material multimèdia relacionat amb les assignatures de ràdio impartides a la facultat. Fins ara, no existia cap aplicació que gestionés el material de cursos anteriors produït amb el sistema Dalet. L'objectiu d'aquest projecte, és desenvolupar una aplicació en entorn web, accessible a tothom, per a que alumnes, professors i tècnics puguin consultar, reproduir i recuperar, el material produït amb el sistema Dalet Plus de cursos anteriors.

Gestió i desenvolupament d'un conjunt comprensiu de pràctiques per les assignatures de sistemes operatius

En aquest projecte s'ha desenvolupat un entorn repositori de pràctiques per a emmagatzemar i donar una eina de control del material docent que es disposa. El desenvolupament dels mòduls del sistema s'han realitzat després de contemplar els diferents rols que existeixen dintre dels membres del personal docent, sent aquest becaris o professors. Atès que el personal destinat a l'ensenyament està sotmès a un alt grau de rotacions aquest sistema intentarà ser un punt de trobada de totes les seves aportacions, ajudant així la tasca d'avaluació i explicació de les pràctiques. L'estudi d'un nou ventall de pràctiques ha permès conèixer un nou entorn de treball, que ofereix camps no tractats fins al moment a través de la implantació d'un sistema operatiu simulat per sobre del sistema operatiu Linux.