A obra de triangulis omnimodis libri quinque de Johann Müller Regiomontanus (1436 1476): uma contribuição para o desenvolvimento da trigonometria

Trigonometry, branch of mathematics related to the study of triangles, developed from practical needs, especially relating to astronomy, Surveying and Navigation. Johann Müller, the Regiomontanus (1436-1476) mathematician and astronomer of the fifteenth century played an important role in the development of this science. His work titled De Triangulis Omnimodis Libri Quinque written around 1464, and published posthumously in 1533, presents the first systematic exposure of European plane and spherical trigonometry, a treatment independent of astronomy. In this study we present a description, translation and analysis of some aspects of this important work in the history of trigonometry. Therefore, the translation was performed using a version of the book Regiomontanus on Triangles of Barnabas Hughes, 1967. In it you will find the original work in Latin and an English translation. For this study, we use for most of our translation in Portuguese, the English version, but some doubt utterance, statement and figures were made by the original Latin. In this work, we can see that trigonometry is considered as a branch of mathematics which is subordinated to geometry, that is, toward the study of triangles. Regiomontanus provides a large number of theorems as the original trigonometric formula for the area of a triangle. Use algebra to solve geometric problems and mainly shows the first practical theorem for the law of cosines in spherical trigonometry. Thus, this study shows some of the development of the trigonometry in the fifteenth century, especially with regard to concepts such as sine and cosine (sine reverse), the work discussed above, is of paramount importance for the research in the history of mathematics more specifically in the area of historical analysis and critique of literary sources or studying the work of a particular mathematician

O político nas imagens de A missão de Heiner Müller e O homem que era uma fábrica de Augusto Boal

Augusto Boal (Brasil) y Heiner Müller (Alemania) son dramaturgos del siglo XX que vivieron en países y contextos evidentemente distintos. Sin embargo, con la crisis del teatro burgués y de las condiciones de legitimidad del régimen de producción de este teatro, ambos presentan puntos de contacto en sus líneas y vectores teatrales que, frente a la universalidad cuestionable de la dramatización, llevan a la concepción de un teatro múltiple y perturbador del orden de lo sensible. Los procesos de escenificación contemporánea exige un adelantamiento del sentido político, desviando del juego de representaciones sociales, para dar lugar al trabajo deconstructor de imágenes como cisión entre la palabra y lo representado, entre lo legible y lo visible. Frente al expuesto, las escritas escénicas y, por eso, literarias de estos autores, sitios de singularización – no con ausencia de paradojas – capaces de movilizar manifestaciones e impases cuanto a las imágenes que ordenan o desordenan los textos dramáticos, traen para la contemporaneidad tensiones que llevan al teatro mismo, tanto a interpelarse como, en su fuerza plural, a encontrar pasajes para el nuevo. Llevar a la superficie aspectos políticos en las imágenes de los textos dramáticos, considerándolos en su inscripción literaria: “La misión: recuerdos de una revolución”, de Heiner Müller, y de “El hombre que era una fábrica”, de Augusto Boal, se hace un desafío, una vez que las imágenes pretendidas son aquellas con formas o materialidades todavía no visibles en la escena, podríamos decir, en estado virtual. Como imágenes pensantes, ellas suceden en el plan de inmanencia del lenguaje (Deleuze y Guattari). Siendo lo “político” una perturbación en lo sensible, contrario a la política (Rancière), la dramaturgia se abala en multiplicidades, desplazando y desnaturalizando las funciones de autor/dramaturgo y lector/actor, teatro/literatura. Dramaturgia simultánea, imagen, fragmento y colaje se muestran como procedimientos artísticos y literarios creativos que se encuentran apropiados sea en la teoría del teatro del oprimido (Boal), sea en el teatro pos-dramático (Hans-ThiesLehmann), a pesar de que, al confrontarlas, sobresalían en desentendimientos: la primera coincide con la lógica de la identidad y la segunda, esta se desarticula, movida por la diáfora, contestación, o desacuerdo. Tales relaciones – no apriorísticas – se suceden en cuanto acontecimiento de la lectura o de la literatura como acontecimiento en que lo político en las imágenes se da, antes, en las lagunas y obscuridades, aludiendo a lo que está más allá de lo sentido, de la escena del gesto y de la palabra. El lector no se para para atribuir sentido, se interroga frente a las metamorfosis y formas oblicuas de acontecimientos insospechables que componen lo político estableciendo la gestión colectiva de la enunciación. En este caso, el texto de Boal y el texto de Müller se inscriben en la producción de una literatura menor, o de un teatro menor, o que los califica como agentes de devenires revolucionarios, agitando, a través de la política en las imágenes, e irrumpiendo contra el problema del poder en las artes.

Proliferative Defects and Formation of a Double Cortex in Mice Lacking Mltt4 and Cdh2 in the Dorsal Telencephalon

Radial glial cells (RGCs) in the ventricular neuroepithelium of the dorsal telencephalon are the progenitor cells for neocortical projection neurons and astrocytes. Here we showthatthe adherens junction proteins afadin and CDH2 are criticalforthe control of cell proliferation in the dorsal telencephalon and for the formation of its normal laminar structure. Inactivation of afadin or CDH2 in the dorsal telenceph-alon leads to a phenotype resembling subcortical band heterotopia, also known as “double cortex,” a brain malformation in which heterotopic gray matter is interposed between zones of white matter. Adherens junctions between RGCs are disrupted in the mutants, progenitor cells are widely dispersed throughout the developing neocortex, and their proliferation is dramatically increased. Major subtypes of neocortical projection neurons are generated, but their integration into cell layers is disrupted. Our findings suggest that defects in adherens junctions components in mice massively affects progenitor cell proliferation and leads to a double cortex-like phenotype.

Ativismo judicial e materialização das políticas públicas infanto-juvenis na constituição da república: Fixação de planos ideais de atuação para os atores do Sistema de Garantia de Direitos (SGD)

The research arose from the necessity of showing ways to be followed by the actors of the System Guaranteeing Rights of the Child and Adolescent (SGD), regarding the implementation of rights for young people, because the legislation in force in Brazil is currently considered a model around the world and, paradoxically, the fundamental rights of children and adolescents are not met, even with the constitutionally guaranteed priority. Thus, the study investigates the fundamentality rights for young people, enshrined in the Constitution of the Republic, as well as the ways of effectiveness of these rights through the actions of actors of the System Guaranteeing Rights, especially the judiciary. Focusing realized, studying theories of fundamental rights, especially Structuring a Theory of Law (Strukturiende Rechtslehre), Friedrich Müller, who emphasizes the need for analysis of social reality in the application of the rule of law. Study also the public budget and public policies concerning children and adolescents, with emphasis on preparation of budget laws and the process of discussion, deliberation, choice and implementation of public policies for children and teenagers. It then presents the typical functions of the members of System Guaranteeing Rights, as well as prepare a plan for optimum performance for each of the actors, with emphasis on analysis of the implementation of public policies at the municipal level. Finally, it analyzes the theory of separation of three powers, and discusses the positive and negative factors for judicial intervention, concluding that the Courts can consider the action activist, from finding the omission of the Executive and legislative branches, as regards the implementation of the rights of children and adolescents, as well as the rights of children and young people are not realized in most cases, due to the omission of actors of the System Guaranteeing Rights