Symmetries of the free Schrödinger equation in the non-commutative plane

We study all the symmetries of the free Schr odinger equation in the non-commu- tative plane. These symmetry transformations form an infinite-dimensional Weyl algebra that appears naturally from a two-dimensional Heisenberg algebra generated by Galilean boosts and momenta. These infinite high symmetries could be useful for constructing non-relativistic interacting higher spin theories. A finite-dimensional subalgebra is given by the Schröodinger algebra which, besides the Galilei generators, contains also the dilatation and the expansion. We consider the quantization of the symmetry generators in both the reduced and extended phase spaces, and discuss the relation between both approaches.

Symmetries of the free Schrödinger equation in the non-commutative plane

We study all the symmetries of the free Schrödinger equation in the non-commu- tative plane. These symmetry transformations form an infinite-dimensional Weyl algebra that appears naturally from a two-dimensional Heisenberg algebra generated by Galilean boosts and momenta. These infinite high symmetries could be useful for constructing non-relativistic interacting higher spin theories. A finite-dimensional subalgebra is given by the Schröodinger algebra which, besides the Galilei generators, contains also the dilatation and the expansion. We consider the quantization of the symmetry generators in both the reduced and extended phase spaces, and discuss the relation between both approaches.

Broken colinearity of the amphioxus Hox cluster.

Background In most eumetazoans studied so far, Hox genes determine the identity of structures along the main body axis. They are usually linked in genomic clusters and, in the case of the vertebrate embryo, are expressed with spatial and temporal colinearity. Outside vertebrates, temporal colinearity has been reported in the cephalochordate amphioxus (the least derived living relative of the chordate ancestor) but only for anterior and central genes, namely Hox1 to Hox4 and Hox6. However, most of the Hox gene expression patterns in amphioxus have not been reported. To gain global insights into the evolution of Hox clusters in chordates, we investigated a more extended expression profile of amphioxus Hox genes. Results Here we report an extended expression profile of the European amphioxus Branchiostoma lanceolatum Hox genes and describe that all Hox genes, except Hox13, are expressed during development. Interestingly, we report the breaking of both spatial and temporal colinearity for at least Hox6 and Hox14, which thus have escaped from the classical Hox code concept. We show a previously unidentified Hox6 expression pattern and a faint expression for posterior Hox genes in structures such as the posterior mesoderm, notochord, and hindgut. Unexpectedly, we found that amphioxus Hox14 had the most divergent expression pattern. This gene is expressed in the anterior cerebral vesicle and pharyngeal endoderm. Amphioxus Hox14 expression represents the first report of Hox gene expression in the most anterior part of the central nervous system. Nevertheless, despite these divergent expression patterns, amphioxus Hox6 and Hox14 seem to be still regulated by retinoic acid. Conclusions Escape from colinearity by Hox genes is not unusual in either vertebrates or amphioxus and we suggest that those genes escaping from it are probably associated with the patterning of lineage-specific morphological traits, requiring the loss of those developmental constraints that kept them colinear.

Determinação do período crítico para prevenção da interferência de plantas daninhas na cultura de soja: uso do modelo "broken-stick"

Visando a fornecer subsídios para programas de manejo de plantas daninhas em culturas agrícolas, foi conduzido um experimento de campo em Botucatu, SP. O objetivo foi determinar, através do procedimento estatístico de análise de regressão, o período crítico para prevenção da interferência (PCPI) de plantas daninhas de folha larga na produtividade da cultura de soja. Foi utilizado o delineamento experimental em blocos casualizados, com 3 repetições. A cultura foi mantida na presença das plantas daninhas de folha larga por diferentes períodos. O período crítico determinado foi de 21 a 30 dias após a emergência da cultura, segundo ajuste dos dados de produtividade ao modelo Broken-Stick. No entanto, o período crítico determinado indica que o controle das plantas daninhas pode ser realizado, uma única vez, através do uso de método momentâneo, sem efeito residual.

Modified broken rice starch as fat substitute in sausages

The demand for low-fat beef products has led the food industry to use fat substitutes such as modified starch. About 14% of broken rice is generated during processing. Nevertheless, this by-product contains high levels of starch; being therefore, great raw material for fat substitution. This study evaluated the applicability of chemically and physically modified broken rice starch as fat substitute in sausages. Extruded and phosphorylated broken rice was used in low-fat sausage formulation. All low-fat sausages presented about 55% reduction in the fat content and around 28% reduction in the total caloric value. Fat replacement with phosphorylated and extruded broken rice starch increased the texture acceptability of low-fat sausages, when compared to low-fat sausages with no modified broken rice. Results suggest that modified broken rice can be used as fat substitute in sausage formulations, yielding lower caloric value products with acceptable sensory characteristics.

Processing and characterization of extruded breakfast meal formulated with broken rice and bean flour

The objective of this work was to develop an extruded breakfast product containing broken rice and split old beans and to verify the influence of the extrusion process on their physicochemical, technological, and sensory characteristic. The final product had a protein content of 9.9 g.100 g-1, and therefore it can be considered a good source of proteins for children and teenagers. The dietary fiber content of the final edible product was 3.71 g.100 g-1. Therefore, the breakfast meal may be considered as a source of dietary fiber according to Brazilian law . As for the technological properties, the extruded product presented an expansion index of 8.89 and apparent density of 0.25 g.cm-3. With regard to the sensory analysis, the acceptance average was ranked between 6.8 and 7.7, corresponding to the categories "liked slightly" and "liked very much". With regard to purchase intention, 79% of the panelists said they would certainly or possibly purchase the product. Broken rice and split old beans are interesting alternatives for the elaboration of extruded breakfast products presenting good nutritional, technological, and sensory qualities.

Application of extruded broken bean flour for formulation of gluten-free cake blends

The aim of this study was to determine the physical and microbiological characteristics of extruded broken beans flour, in addition to developing mixtures for gluten-free cake with these flours, evaluating their technological and sensory quality. Gluten-free formulations were prepared with 45%, 60% and 75% of extruded broken beans. All analyzes of the flours and mixtures for cakes were performed according to standard techniques found in the literature. Sensory analyzes of cakes applied the 9-point structured hedonic scale. Results were submitted to variance analysis and comparison of means test (Tukey, p<0.05). The use of extruded broken beans improved the water absorbed and water solubility index of the mixtures for gluten-free cake, and for the lower viscosity and retrogradation when compared to the standard formulation. All cakes were accepted (rate ≥ 7) for all the analyzed attributes. From the technological and sensory standpoints, the development of gluten-free cake mixtures is feasible with up to 75% of extruded broken beans.

Stability of gluten free sweet biscuit elaborated with rice bran, broken rice and okara

Abstract A challenge to the food sector has been the development of new products incorporating co-products from the food processing industry with minimal impact on their pre-determined structures and adding nutritional quality. In order to add value and develop alternatives for the use of co-products generated during the agroindustrial processing, this work aimed to study the stability of gluten-free sweet biscuits developed with soybean okara, rice bran and broken rice. The formulations were elaborated with increasing percentages of these ingredients and compared with the standard (commercial sweet biscuit) for ten months. The analyses were: weight, diameters (internal and external), thickness, specific volume, instrumental parameters of color, texture, scanning electron microscopy, water activity, proximal composition and isoflavones. The experimental sweet biscuits had characteristics of color, weight, volume and diameters (internal and external) very similar to the commercial, whereas texture, lipids and energy value decreased, and aw, moisture and protein increased during storage. The sweet biscuits showed the same stability when compared to the standard, and the

Boulevard to broken dreams, Part 1: the Polonoroeste road project in the Brazilian Amazon, and the World Bank's environmental and indigenous peoples' norms

ABSTRACT Before the mid 1980s the World Bank conceived "nature" as something to be "conquered" and "environment" as a source of resources for "development". By the late 1980s the Bank incorporated norms of environmental sustainability and indigenous peoples' protection into its mandate, and other development-oriented IOs followed. This two-part paper describes how a fight over the Polonoroeste road project in the Brazilian Amazon - inside the Bank, between the Bank and NGOs supported by the US Congress, and between the Bank and the government of Brazil -helped to generate the far-reaching change of policy norms. The first part describes how the project was designed as an innovation in sustainable development in rainforests; and how it provoked a firestorm inside the Bank as it moved towards project approval.

Certificate that Joseph Kingsmill, sheriff, has sold 4 acres in Broken Front Lot no.3 in the 3rd Concession of Gainboro to W.H. Dickson

Certificate that Joseph Kingsmill, sheriff, has sold 4 acres in Broken Front Lot no.3 in the 3rd Concession of Gainsboro to W.H. Dickson, May 23, 1857.

Agreement (1 page, handwritten note) stating that William Barker of Oxford paid for the broken lots no. 21 and 22 and in the 3rd concession in the County of Oxford

Agreement (1 page, handwritten note) stating that William Barker of Oxford paid for the broken lots no. 21 and 22 and in the 3rd concession in the County of Oxford of Reverend Harris’ land, Nov. 7, 1831.

The Broken "I" : fragmentation of self and otherness in modern urban narratives

Ce mémoire mélange théorie et fiction pour explorer la technique narrative du “nous” performatif. Le premier chapitre démontre le role du discours dans le processus de formation d’identité, pour éventuellement démontrer que la nature performative du langage est responsable de la creation des constructions sociales du soi et de l’autre. En étudiant les failles de ce système, cet essai tentera de créer une entité narrative libre de ces contraintes. Un second chapitre théorique, après des exemples de fiction, se penchera sur l’entité narrative du flâneur, qui à travers sa relation intime avec la cité, souligne une dichotomie présente dans la relation entre le soi et l’autre. Le flâneur emergera comme un site de traduction dans lequel le “nous” performatif peut prendre action. Toutefois, les limites du flâneur en tant qu’outil narratif l’empêchera d’être la representation ultime de cette dichotomie. Après d’autres exemples de fiction, un troisième chapitre combinera ce qui aura été apprit dans les chapitres précédents pour démontrer que le “nous” performatif et sa dissolution du “je” et du “tu” mène à une narration qui est responsable, consciente d’elle-même et représentative de la réalité urbaine moderne et ses effets sur la création de l’identité.

Topological order in a broken-symmetry state

À travers cette thèse, nous revisitons les différentes étapes qui ont conduit à la découverte des isolants topologiques, suite à quoi nous nous penchons sur la question à savoir si une phase topologiquement non-triviale peut coexister avec un état de symétrie brisée. Nous abordons les concepts les plus importants dans la description de ce nouvel état de la matière, et tentons de comprendre les conséquences fascinantes qui en découlent. Il s’agit d’un champ de recherche fortement alimenté par la théorie, ainsi, l’étude du cadre théorique est nécessaire pour atteindre une compréhension profonde du sujet. Le chapitre 1 comprend un retour sur l’effet de Hall quantique, afin de motiver les sections subséquentes. Le chapitre 2 présente la première réalisation d’un isolant topologique à deux dimensions dans un puits quantique de HgTe/CdTe, suite à quoi ces résultats sont généralisés à trois dimensions. Nous verrons ensuite comment incorporer des principes de topologie dans la caractérisation d’un système spécifique, à l’aide d’invariants topologiques. Le chapitre 3 introduit le premier dérivé de l’état isolant topologique, soit l’isolant topologique antiferromagnétique (ITAF). Après avoir motivé théoriquement le sujet et introduit un invariant propre à ce nouvel état ITAF, qui est couplé à l’ordre de Néel, nous explorons, dans les chapitres 4 et 5, deux candidats de choix pour la phase ITAF : GdBiPt et NdBiPt.