Théorème de Pleijel pour l'oscillateur harmonique quantique

L'objectif de ce mémoire est de démontrer certaines propriétés géométriques des fonctions propres de l'oscillateur harmonique quantique. Nous étudierons les domaines nodaux, c'est-à-dire les composantes connexes du complément de l'ensemble nodal. Supposons que les valeurs propres ont été ordonnées en ordre croissant. Selon un théorème fondamental dû à Courant, une fonction propre associée à la $n$-ième valeur propre ne peut avoir plus de $n$ domaines nodaux. Ce résultat a été prouvé initialement pour le laplacien de Dirichlet sur un domaine borné mais il est aussi vrai pour l'oscillateur harmonique quantique isotrope. Le théorème a été amélioré par Pleijel en 1956 pour le laplacien de Dirichlet. En effet, on peut donner un résultat asymptotique plus fort pour le nombre de domaines nodaux lorsque les valeurs propres tendent vers l'infini. Dans ce mémoire, nous prouvons un résultat du même type pour l'oscillateur harmonique quantique isotrope. Pour ce faire, nous utiliserons une combinaison d'outils classiques de la géométrie spectrale (dont certains ont été utilisés dans la preuve originale de Pleijel) et de plusieurs nouvelles idées, notamment l'application de certaines techniques tirées de la géométrie algébrique et l'étude des domaines nodaux non-bornés.

Queens Bet Din Gittin / Rabbi Faber Records. 1947-1994 (bulk 1974-1992)

This is a collection of the records of Rabbi Salamon Faber, Chair of the Queens Bet Din or Rabbinic Court, concerning the gittin (plural of get, Jewish religious divorces) that the Queens Bet Din granted between 1947 and 1992. These records include Rabbi’s Faber’s personal notes about the gittin, correspondence with the husband and wife and with any other concerned parties, copies of civil and religious marriage and divorce documents, divorce contracts signed by the husband, and copies of conversion certificates.

Cultura organizacional en la empresa Faber Castell en Colombia

El siguiente es el trabajo de grado de la Facultad de Administración de la Universidad Colegio Mayor de nuestra señora del Rosario para optar por el titulo de Administrador de Empresas. Es un estudio de clima y cultura organizacional en la organización Faber Castell aplicada a su subsidiaria en Colombia Tecnacril Ltda. Empresa dedicada a la producción y comercialización de artículos para escritura y arte. El trabajo busca determinar la cultura y el clima organizacional dentro de la organización determinando características únicas les permite diferenciarse y tendencias a nivel de comportamiento y procesos dentro de la organización y como es reflejado en el entorno en el cual se desarrolla. Para este trabajo se aplico el instrumento para medición de clima (IMCOC) y de cultura en desarrollado por el doctor Carlos Eduardo Méndez Álvarez profesor de la Universidad Colegio Mayor de nuestra Señora del Rosario Los resultados obtenidos nos determinar pautas y aspectos a mejorar o cambiar dentro de la organización en fin de buscar una mayor productividad y por ende competitividad de la misma basándonos en el talento humano como uno de los principales rasgos competitivos dentro de la organización.

Escalated aggressive behaviour and facultative parental care in the nest building gladiator frog, Hyla faber

Agonistic encounters and facultative parental care in Hyla faber were observed in two localities in southeastern Brazil. Maximum male density was 0.9 and 3.3 males/m2 in Campinas and Ribeirão Branco, respectively. Aggression was escalated and the highly variable aggressive calls were specific to each phase of the encounter. The last, more aggressive phases rarely occurred in Campinas; in Ribeirão Branco they occurred frequently. Male parental care (egg attendance) was common in Ribeirão Branco while it was never observed in Campinas. Egg attendance lasted one to two nights and was observed only during high male density. The main benefit of egg attendance seemed to be avoiding nest intrusion by other males (sunken eggs and/or embryos invariably die). Males may build additional nests during egg attendance, but attending males did not attract females (they did not call).

Identidade, comunicação e cidadania no facebook: uma análise do diário de classe de Isadora Faber.

Pós-graduação em Comunicação - FAAC

Vocal and territorial behavior in the Smith frog (Hypsiboas faber): Relationships with plasma levels of corticosterone and testosterone

The possible trade-off between the roles of glucocorticoids as facilitators of energy substrate mobilization and neural inhibitors of sexual behavior during breeding season is under debate. We studied the relationship between calling and territorial behavior with plasma levels of corticosterone (CORT) and plasma levels of testosterone (T) across the breeding season of Hypsiboas faber, a large and territorial Neotropical treefrog. We investigated these relationships through focal observations of males calling naturally, followed by blood sampling for hormonal radioimmunoassay. We additionally used an experimental approach, which consisted of broadcasting recorded advertisement calls for 10 min to simulate an invasion in the territory of the focal subjects, followed by behavioral observation and blood sampling for hormonal radioimmunoassay. Results showed a pattern of co-variation between CORT and T across the breeding season. Furthermore, individual variation in CORT and T was related to different aspects of behavior: individuals with higher CORT showed higher calling rates, and individuals with higher steroid levels, mainly T, showed higher responsivity to social stimulation by other males in the chorus. Experimental simulation of territorial intrusion by using playback of advertisement calls of this species did not elicit consistent changes in agonistic behavior and CORT, but decreased T in focal males. (C) 2012 Elsevier Inc. All rights reserved.