O surgimento dos números irracionais

Este é um trabalho de pesquisa sobre um conjunto de números (irracionais) que é pouco trabalhado no ensino básico de matemática. Foi uma procura muito interessante e enriquecedora, pois encontrei matemáticos e historiadores com visões bem diferentes. Muitos deles não aceitavam este novo conjunto. Para Leopold Kronecker, só existia o conjunto dos números inteiros. Já para Cantor e Dedekind, o aparecimento dos irracionais foi extremamente importante para o desenvolvimento da matemática, abrindo novos horizontes. Menciono aqui um pouco da vida e da obra de alguns matemáticos que se envolveram com os números irracionais. Tratamos ainda da descoberta dos incomensuráveis, ou seja, como iniciou-se o problema da incomensurabilidade, e do retângulo áureo e sua importância em outras áreas. O trabalho mostra também dois grupos de números que não são mencionados quando ensinamos equações algébricas, que são os números algébricos e os números transcendentes, assim como teoremas essenciais para a prova da transcendência dos irracionais especiais e . Por fim, proponho uma aula para uma turma do 3 ano do Ensino Médio com o objetivo de mostrar a irracionalidade de alguns números, usando os teoremas pertinentes

Unidades de Polícia Pacificadora: pacificação, território e militarização

Pretende-se uma análise crítica do projeto das Unidades de Polícia Pacificadora (UPPs), procurando entender como ele aparece como uma resposta possível para os problemas urbanos e de segurança na cidade do Rio de Janeiro. Em primeiro lugar, volta-se à importação do ideal civilizatório pelo Brasil no início do século XIX e o surgimento da polícia e de uma questão urbana na cidade do Rio de Janeiro. O resgate histórico permite entender o surgimento das favelas e de uma cidade partida. Em seguida, trata-se do aspecto da pacificação das UPPs, retomando o sentido que essa ideia teve ao longo da história do Brasil, em especial como subjugação dos povos indígenas e como repressão às insurreições da primeira metade do século XIX. Em um segundo momento, volta-se à configuração da governamentalidade policial no Rio de Janeiro e no Brasil, do surgimento das polícias à racionalidade governamental do neoliberalismo. Demonstra-se como a polícia surge como um agente civilizador e como uma racionalidade autoritária da militarização e da criminologia do outro marca as polícias brasileiras, o que explica sua histórica atuação violenta voltada às classes subalternas. Em seguida, partindo da concepção de território pressuposta pelas UPPs, elabora-se sua crítica, observando que constituem uma política de ocupação militarizada do território que reforça uma geografia das desigualdades e promove uma nova forma de territorialização. Por fim, trata-se dos mecanismos que a governamentalidade neoliberal assume na gestão da questão urbana no Rio de Janeiro, a partir das ideias de urbanismo militar e empresarialismo urbano.O urbanismo militar é entendido como a extensão de ideias militares para os espaços e circulações cotidianos, o que leva a uma tendência internacional de militarização da segurança pública e proliferação de territórios de exceção. Nesse contexto, a política das UPPs guarda proximidades com as ocupações das favelas em Porto Príncipe pela MINUSTAH, os territórios palestinos ocupados por Israel, acontrainsurgência estadunidense no Iraque e Afeganistão e os Proyectos Urbanos Integrales em Medellín, nos quais se inspirou. Mas condizem também com o ideal do empresarialismo urbano, modelo baseado na competitividade das cidades orientada para o mercado. Trata-se, portanto, de um projeto de controle militarizado das favelas, necessário para os megaeventos e para a construção de uma imagem de cidade maravilhosa.

Changes in mid-troposphere snow accumulation on Mt. Logan, Yukon, over the last three centuries

EXTRACT (SEE PDF FOR FULL ABSTRACT): A net snow accumulation time series is presented. It is derived from a 102.5 m ice core retrieved from Mt. Logan at an altitude of 5340 m a.s.l. Annual increments are identified using stable isotopes, trace chemistry, and beta activity. ... The resulting time series of nearly 300 years seems to indicate a lower mean accumulation from AD 1700 to the mid-19th century than after that time. The last 100 years of the series correlates significantly with certain instrumental station records at mid-northern latitudes.

Sea surface temperature and paleo-El Niño events in Santa Barbara Basin, AD 1841-1941

Like pages of a "natural coastal diary", successive layers of anoxic varved sediment in the central Santa Barbara Basin have been used by paleoceanographers to reconstruct aspects of past coastal climate. This report focuses on the end of the "Little Ice Age" (15th to 19th century) and on the beginning of this century, a period known to encompass extreme climate excursions and weather events in the Santa Barbara Basin and other parts of Southern California. El Niño events are known to disrupt Southern California's coastal ecosystems and to cause anomalous weather conditions, but El Niño events in Southern California before 1990 have been largely undocumented.

Development of design and construction of fishing boats in Uganda

Fishing boats and canoes varied very little in Uganda from the middle of the 19th century umil 1949. types in use being the Dug Out Canoe. up to 40 ft. in length with 4 ft. beam hollowed from trees, and "Sesse" canoes which were used on Lake Victoria; these had an obvious Arab influence. The length of the "Sesse" in recent years as from about 1912 is 28 ft., and it is used as an open fishing craft.

通过语言任务和功能磁共振成像研究人类小脑功能

Since the 19th century, people have long believed that the function of cerebellum was restricted to fine motor control and modulation. In the past two decades, however, more and more studies challenged this traditional view. While the neuroanatomy of the cerebellum from cellular to system level has been well documented, the functions of this neural organ remain poorly understood. This study, including three experiments, attempted to further the understanding of cerebellar functions from different viewpoints. Experiment One used the parametric design to control motor effects. The activation in cerebellum was found to be associated with the difficulty levels of a semantic discrimination task, suggesting the involvement of the cerebellum in higher level of language functions. Moreover, activation of the right posterior cerebellum was found to co-vary with that of the frontal cortex. Experiment Two adopted the cue-go paradigm and event-related design to exclude the effects of phonological and semantic factors in a mental writing task. The results showed that bilateral anterior cerebellum and cerebral motor regions were significantly activated during the task and the hemodynamic response of the cerebellum was similar to those of the cerebral motor cortex. These results suggest that the cerebellum participates in motor imagination during orthographic output. Experiment Three investigated the learning process of a verb generation task. While both lateral and vermis cerebellum were found to be activation in the task, each was correlated a separate set of frontal regions. More importantly, activations both in the cerebellum and frontal cortex decreased with the repetition of the task. These results indicate that the cerebellum and frontal cortex is jointly engaged in some functions; each serves as a part of a single functional system. Taken these findings together, the following conclusions can be drawn: 1.The cerebellum is not only involved in functions related to speech or articulation, but also participates in the higher cognitive functions of language. 2.The cerebellum participates in various functions by supporting the corresponding regions in cerebral cortex, but not directly executes the functions as an independent module. 3.The anterior part of cerebellum is related to motor functions, whereas the posterior part is involved in cognitive functions. 4.While the motor functions rely on the engagement of both sides of the cerebellar hemispheres, the higher cognitive functions mainly depend on the right cerebellum.

Corporate Responsibility for Crimes - Thinking Outside the Box

Emeseh, Engobo, 'Corporate Responsibility for Crime: Thinking outside the Box' I University of Botswana Law Journal (2005) 28-49 RAE2008

Women in the West

Padget, Martin, 'Women in the West', In: 'The Making of the American West: People and Perspectives', (Santa Barbara, CA: ABC-Clio), pp.239-258, 2007 RAE2008

Charles Dickens

Pykett, L. (2002). Charles Dickens. Critical Issues. New York: Palgrave Macmillan. RAE2008

Osobliwości środkowoeuropejskiej przestrzeni literackiej: ironiczni moraliści i ludyczni myśliciele

Autorka, stawiając pytanie o zasadność pojęcia Europy Środkowej, przypomina historię różnic poglądowych pomiędzy czeskimi a polskimi uczonymi na temat (nie)istnienia wspólnoty na tym terytorium: ci pierwsi w XIX wieku głosili ideę panslawizmu, w 30-tych latach XX wieku potrzebę syntezy kultur i literatur słowiańskich, a po II wojnie światowej przeciwstawiali słowiańskość Zachodowi, co wywoływało krytykę tych drugich. Stąd wynika odmienne rozumienie obszaru środkowoeuropejskiego – w Czechach przeważnie lokowanego w granicach Austro-Węgier, zaś w Polsce pojmowanego znacznie szerzej. Natomiast pewnego rodzaju spójny wyróżnik Europy Środkowej można znaleźć w literaturze, przytaczany bywa szczególnie gatunek powieści (np. Kafki, Haška, Musila, Gombrowicza), poprzedzony – jak przypomina autorka – polską gawędą i popularnym w Polsce szkicem fizjologicznym. Zawarty w nich element humoru, przeszedł w stadium satyry, a następnie groteski, tworząc dzięki temu niepowtarzalny odcień humoru środkowoeuropejskiego, często określanego jako drugi wyróżnik omawianego terytorium. Zdaniem autorki, środkowoeuropejska specyfika ściśle związana jest z kodem euroatlantyckim, a w tym właśnie kontekście zawsze powinna być rozpatrywana.

Od "Subaltern studies" do "Provincializig Europe". Kilka postkolonialnych refleksji na temat historii

Tekst wskazuje II połowę XX wieku jako cezurę wyznaczającą kres dziewiętnastowiecznego pojęcia historii, służącego europejskim imperiom do uzasadnienia ekspansji kolonialnej. Na przykładzie kontrastu Indii i Zachodu dowodzi, że myślenie historyczne jest uwarunkowane kulturowo. Ruchy antykolonialne odwracają dyskurs kolonialny, czyniąc z niego argument dla szybkiej demokratyzacji społeczeństw, odbiegającej od modelu europejskiego za sprawą zredukowanej liczby etapów postępu cywilizacyjnego i rezygnacji z perspektywy historycznej. Seria Subaltern Studies podważa uniwersalność europejskiego modelu nowoczesności i jego adekwatność na terenach byłych kolonii po upadku zachodnich imperiów.

Coming conflicts for liberty : a Thanksgiving sermon, preached November 30th, 1899, at a Union service in the First Baptist Church of Fall River, Mass.

The print copy of this sermon is held by Pitts Theology Library. The Pitts Theology Library's digital copy was produced as part of the ATLA/ATS Cooperative Digital Resources Initiative (CDRI), funded by the Luce Foundation. Reproduction note: Electronic reproduction. Atlanta, Georgia : Pitts Theology Library, Emory University, 2003. (Thanksgiving Day Sermons, ATLA Cooperative Digital Resources Initiative, CDRI). Joint CDRI project by: Andover-Harvard Library (Harvard Divinity School), Pitts Theology Library (Emory University), and Princeton Theological Seminary Libraries.

A discourse delivered on Thanksgiving Day, Dec. 7, 1837 : in the Unitarian Church, Keene, N.H.

The print copy of this sermon is held by Pitts Theology Library. The Pitts Theology Library's digital copy was produced as part of the ATLA/ATS Cooperative Digital Resources Initiative (CDRI), funded by the Luce Foundation. Electronic reproduction. Atlanta, Georgia : Pitts Theology Library, Emory University, 2003. (Thanksgiving Day Sermons, ATLA Cooperative Digital Resources Initiative, CDRI). Joint CDRI project by: Andover-Harvard Library (Harvard Divinity School), Pitts Theology Library (Emory University), and Princeton Theological Seminary Libraries.

In the Ojibway country : a story of early missions on the Minnesota frontier

http://www.archive.org/details/inojibwaycountry00scheiala

Lámhscríbhinní gaeilge i leabharlanna sa tuaisceart

Accepted Version