Genericity of Nondegenerate Critical Points and Morse Geodesic Functionals

We consider a family of variational problems on a Hilbert manifold parameterized by an open subset of a Banach manifold, and we discuss the genericity of the nondegeneracy condition for the critical points. Using classical techniques, we prove an abstract genericity result that employs the infinite dimensional Sard-Smale theorem, along the lines of an analogous result of B. White [29]. Applications are given by proving the genericity of metrics without degenerate geodesics between fixed endpoints in general (non compact) semi-Riemannian manifolds, in orthogonally split semi-Riemannian manifolds and in globally hyperbolic Lorentzian manifolds. We discuss the genericity property also in stationary Lorentzian manifolds.

Design of the main racetrack microtron accelerator end magnets of the Institute of Physics of University of São Paulo

This work deals with the design of the Institute of Physics of the University of São Paulo (IFUSP) main racetrack microtron accelerator end magnets. This is the last stage of acceleration, comprised of an accelerating section (1.04 m) and two end magnets (0.1585 T), in which a 5.10 MeV beam, produced by a racetrack microtron booster has its energy raised up to 31.15 MeV after 28 accelerations. POISSON code was used to give the final configuration that includes auxiliary pole pieces (clamps) and auxiliary homogenizing gaps. The clamps create a reverse fringe field region and avoid the vertical defocusing and the horizontal displacement of the beam produced by extended fringe fields; PTRACE code was used to perform the trajectory calculations in the fringe field region. The auxiliary homogenizing gaps improve the field uniformity as they create a magnetic shower that provides uniformity of ±0.3%, before the introduction of the correcting coils that will be attached to the pole faces. This method of correction, used in the IFUSP racetrack microtron booster magnets, enabled uniformity of ±0.001% in an average field of 0.1 T and will also be employed for these end magnets. © 1999 The American Physical Society.

Thermal stability of ionene polymers

Two different cationic polymers of the same chemical type and with very similar chemical structures were reacted with a natural bentonite over a wide range of polymer/clay ratios. This study involved the synthesis of cationic aliphatic ammonium polyionenes, specifically 3,6-ionene and 3,6-dodecylionene. Ionenes are ion-containing polymers that contain quaternary nitrogen atoms in the main macromolecular chain as opposed to a pendant chain. The CHN content, basal spacing, and elemental composition of each of the polymer-clay complexes were analyzed by X-ray diffraction, X-ray fluorescence, and thermogravimetry. All the polycations reacted to form interlayer complexes with clay, which displaced more Na+ and little Ca2+. Sodium and calcium were both present as interlayer cations in the clay and its complexes. The TG/DTG curves show that both polymers underwent thermal degradation in more than one stage. Specifically, 3,6-ionene was found to undergo two stages of decomposition and 3,6-dodecylionene undergo three stages. The behavior of the TG/DTG curves and the activation energy values suggest that 3,6-dodecylionene (E = 174,85 kJ mol-1) complexes have greater thermal stability than 3,6-ionene (E = 115,52 kJ mol-1) complexes. The mechanism of degradation suggests a direct interaction with the dodecyl chain containing 12 carbons, which are present in 3,6-dodecylionene but not in 3,6-ionene. © 2012 Akadémiai Kiadó, Budapest, Hungary.

Complexos de európio e /ou de zinco com ácido 3-piridinocarboxílico

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Investigação da atividade biólogica de complexos de Cobre (II) contendo ligantes nitrogenados

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Avaliação da alteração dimensional de modelos obtidos a partir de moldagens com alginato tradicional e outro com desinfetante

The present study aims at evaluating dimensional alteration of stone casts made from impressions with a standard irreversible hydrocolloid and an antimicrobial one. For this, an alginate without disinfectant (Type II Jeltrate) and other containing chlorhexidine (Type II Avagel) were used, which rose by the same regime of treatment: without disinfection; immersion; and spraying. A 1% sodium hypochlorite solution was used for 10 minutes. To obtain the impressions, a perforated impression tray was made from a standard metal model. After molding, the molds were washed in running water for 30 seconds to simulate removal of saliva. Then, with the exception of the control group, these molds were subjected to disinfection treatment. After 10 minutes they were washed again. 60 samples poured with type V special gypsum (Durone) were obtained, that were measured 3 times in a stereomicroscope (SZX12, Olympus) to record the average of dimensional alterations. The disinfection treatment did not bring significant changes in the models obtained from both alginate tested (standard p = 0.7102; with chlorhexidine p = 0.5832). The results showed a statistically significant and additional advantage of the traditional alginate on alginate with chlorhexidine, with respect to dimensional alteration (p < 0.05).

Evolution of Goldstone mode in binary condensate mixtures

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Síntese e caracterização de sabões metálicos de lantanídeos (III)

Pós-graduação em Química - IQ

Hiperbolicidade seccional em dimensões arbitrárias

Pós-graduação em Matemática - IBILCE

Tris(trimethylsilyl)silyl substituted alkali- and transition metal guaiazulenides

In der vorliegenden Arbeit wird ein prochirales, aus natürlichen Resourcen gewonnenes Azulen, das Guajazulen genutzt, um neuartige chirale Cyclopentadienyl-Systeme aufzubauen. Mit Alkalimetallhypersilaniden als starke und sperrige Nukleophile gelingt es hypersilylsubstituierte Gujazulenide zu synthetisieren. Diese wurden mittels Elementaranalyse, NMR-Spektroskopie und Röntgendiffraktometrie charakterisiert. Durch nachfolgende Metathesen mit Übergangsmetallhalogeniden konnten in vielen Fällen die entsprechenden Metallocene erhalten werden. Die Experimente enthüllen eine ausgeprägte Regioselektivität der Addition des sperrigen Hypersilyanions an das Guajazulen, die durch das eingesetzte Lösungsmittel graduell verändert werden kann. In nicht-koordinierenden Lösungsmitteln findet man ausschließlich eine Addition an der 6-Position, die 6-Hypersilyl-2,6-dihydroguajazulenide (6-Hyp-Hgual) (M=Li 1, K 2, Cs 4) in ausgezeichneten Ausbeuten liefert. In polaren Solventien erhält man hingegen Mischungen der 6- und 8-Regioisomeren: 2 bzw. (8-Hyp-Hgual) (3). 2 bleibt aber hierbei das Hauptprodukt. Röntgenbeugungsexperimente zeigen, dass 1 im Kristall als dimerer Sandwich-Komplex, meso-[Li2(6-Hyp-Hgual)2], und die THF-Solvate (thf)4K(6-Hyp-Hgual) (2a) sowie (thf)4K(8-Hyp-Hgual) (3a) jeweils als Halb-Sandwich-Komplexe in einer racemischen Mischung vorliegen. Die Verbindungen 1, 2, 3 and 4 eignen sich sehr gut dazu, in Metathesereaktionen als Precursor für neuartige chirale Metallozen-Komplexe eingesetzt zu werden. Insbesondere das Kaliumderivat 2 besticht durch die einfache und relativ preiswerte Synthese, die erzielten hohen Ausbeuten (>80%) und seine leichte Handhabbarkeit. In THF als Solvent wurden die Metallocene 5:5-M’(6-Hyp-Hgual)2 (M’ = Mn 5, Fe 6, Ni 8) und 5:5-Fe(8-Hyp-Hgual)2 (7) erhalten. Bei Verwendung einiger redox-aktiver Metallhalogenide beobachtet man jedoch die Zersetzung der Metallocene unter Bildung des oxidativen Kopplungsproduktes (3-Hyp-6-Hgual)2 (9) sowie der Ausscheidung von Metall. Die Umsetzung von Halogeniden der Gruppe 4 (TiCl3 and M’’Cl4 (M’’ = Ti, Zr, Hf)) mit 2 liefert in THF ausschließlich die Metallozendichloride M’’(6-Hyp-Hgual)2Cl2 (M’’ = Ti (10), Zr (11), Hf (12)). Die erhaltenen Metallozenderivate fallen als Diastereomeren-Gemische an, die sich durch fraktionierende Kristallisation teilweise oder vollständig in ihre Bestandteile, das jeweilige R,R-Racemat und das R,S-meso-Diastereomer auftrennen lassen. Die Strukturen der rac-Diastereomere konnten durch Beugungsexperimente aufgeklärt werden. Durch eine Metathese von 2 mit Hyp-Cl kann eine zweite Hypersilylgruppe in die 2-Position des Guajazulen-Gerüstes eingeführt werden. Das entstehende 2,6-bis(Hyp)-H2gua (14) kann anschließend mit nBuLi in das extrem luft- und feuchtigkeitsempfindliche Li[2,6-bis(Hyp)-Hgual] (15) überführt werden, dass wie 1 eine dimere Sandwich-Struktur aufweist. Durch Einführung des zweiten Hypersilylrestes werden die chemischen Eigenschaften des Azulenids dramatisch verändert. Während Verbindung 1 sich als guter Precursor für Metallocene erwies, gelang es uns bislang nicht, entsprechende Derivate der Verbindung 15 zu isolieren.

Effects of catecholamines on hepatic and skeletal muscle mitochondrial respiration after prolonged exposure to faecal peritonitis in pigs

Use of norepinephrine to increase blood pressure in septic animals has been associated with increased efficiency of hepatic mitochondrial respiration. The aim of this study was to evaluate whether the same effect could be reproduced in isolated hepatic mitochondria after prolonged in vivo exposure to faecal peritonitis. Eighteen pigs were randomized to 27 h of faecal peritonitis and to a control condition (n = 9 each group). At the end, hepatic mitochondria were isolated and incubated for one hour with either norepinephrine or placebo, with and without pretreatment with the specific receptor antagonists prazosin and yohimbine. Mitochondrial state 3 and state 4 respiration were measured for respiratory chain complexes I and II, and state 3 for complex IV using high-resolution respirometry, and respiratory control ratios were calculated. Additionally, skeletal muscle mitochondrial respiration was evaluated after incubation with norepinephrine and dobutamine with and without the respective antagonists (atenolol, propranolol and phentolamine for dobutamine). Faecal peritonitis was characterized by decreasing blood pressure and stroke volume, and maintained systemic oxygen consumption. Neither faecal peritonitis nor any of the drugs or drug combinations had measurable effects on hepatic or skeletal muscle mitochondrial respiration. Norepinephrine did not improve the efficiency of complex I- and complex II-dependent isolated hepatic mitochondrial respiration [respiratory control ratio (RCR) complex I: 5.6 ± 5.3 (placebo) vs. 5.4 ± 4.6 (norepinephrine) in controls and 2.7 ± 2.1 (placebo) vs. 2.9 ± 1.5 (norepinephrine) in septic animals; RCR complex II: 3.5 ± 2.0 (placebo) vs. 3.5 ± 1.8 (norepinephrine) in controls; 2.3 ± 1.6 (placebo) vs. 2.2 ± 1.1 (norepinephrine) in septic animals]. Prolonged faecal peritonitis did not affect either hepatic or skeletal muscle mitochondrial respiration. Subsequent incubation of isolated mitochondria with norepinephrine and dobutamine did not significantly influence their respiration.

Appendix 1: List of cladistic characters published on ammonites

The file here provided, is the list of all characters that have been used in cladistic analysis on ammonoids published so far. It constitutes the base of a study which investigates practices in characters establishment. Find here after the abstract of the article that is associated to this file. Cladistics appears as one of the most useful method to reconstruct phylogeny of fossil taxa. However, ammonoids workers tend to sulk this method. The capital step of cladistic analysis is the recognition of homology hypothesis as clue to reconstruct monophyletic clades based on the sharing of derived traits. Previous authors have suggested that coding schemes are usually direct transcription of original taxa description. However, establishing a list of characters (i.e. a matrix taxa /characters) is a very different work compared to a compilation of diagnoses. How morphology is coded in ammonoids? How coding schemes are influenced by traditional descriptions / characters? Here, we review all cladistic analyses of ammonoids published in the literature to compare characters and the way authors have dealt with the treatment of continuous characters, polymorphism and ontogeny. Several barriers are usually invoked to justify that cladistics cannot be applied to reconstruct ammonoids phylogenies. We show that an appropriate use of improvements both on ammonoids' knowledge and cladistics methodology may overcome limitations usually invoked to perform cladistic analysis on ammonoids.

Equações de onda generalizadas e quantização funtorial para teorias de campo escalar livre

Nesta dissertação apresentamos um método de quantização matemática e conceitualmente rigoroso para o campo escalar livre de interações. Trazemos de início alguns aspéctos importantes da Teoria de Distribuições e colocamos alguns pontos de geometria Lorentziana. O restante do trabalho é dividido em duas partes: na primeira, estudamos equações de onda em variedades Lorentzianas globalmente hiperbólicas e apresentamos o conceito de soluções fundamentais no contexto de equações locais. Em seguida, progressivamente construímos soluções fundamentais para o operador de onda a partir da distribuição de Riesz. Uma vez estabelecida uma solução para a equação de onda em uma vizinhança de um ponto da variedade, tratamos de construir uma solução global a partir da extensão do problema de Cauchy a toda a variedade, donde as soluções fundamentais dão lugar aos operadores de Green a partir da introdução de uma condição de contorno. Na última parte do trabalho, apresentamos um mínimo da Teoria de Categorias e Funtores para utilizar esse formalismo na contrução de um funtor de segunda quantização entre a categoria de variedades Lorentzianas globalmente hiperbólicas e a categoria de redes de álgebras C* satisfazendo os axiomas de Haag-Kastler. Ao fim, retomamos o caso particular do campo escalar quântico livre.

Die Jugendwerke des Michelangelo /

Mode of access: Internet.