Insetos em presépios e as "formigas vestidas" de Jules Martin (1832-1906): uma curiosa manufatura paulistana do final do século XIX

Encontrados no Brasil desde os primórdios da colonização portuguesa, os presépios logo tiveram de adaptar-se à realidade local, circunstância muito propícia ao aparecimento de concepções heterodoxas e ao emprego de elementos exóticos da fauna e flora de cada região. Como registros envolvendo insetos são muito pouco comuns, chama a atenção que fêmeas de saúva, Atta sp. (Hymenoptera, Formicidae), tenham sido aproveitadas na composição de presépios no estado de São Paulo. Tendo subsistido pelo menos até a década 1960, os "presépios de formigas" existentes em cidades como Embu das Artes poderiam estar relacionados às "formigas vestidas" criadas por Jules Martin, curiosa manufatura paulistana do último quartel do século XIX.

NEWS CONCERNING A CERTAIN TAMOIO CONFEDERATION

In this article we revisit a famous chapter of Brazilian history, yet to be properly analysed from an ethnological perspective: the `Tamoio confederation,` a coalition of 16th century coastal Tupian groups who threatened to undermine Portuguese colonization during the dispute between the French and Portuguese for the Guanabara region (now Rio de Janeiro). Was this `confederation` a new phenomenon in Tupian politics, engendered by the Conquest and inducing a shift towards political centralization? Or was it, on the contrary, the actualization of a possibility already (always) present in Tupian forms of political organization and action? These are the questions guiding our inquiry, which we seek to answer through the use of both historical sources and the in-depth ethnological knowledge of Tupi-Guarani peoples developed by various authors over recent decades.

Destiny and will, religion and politics: Jesus Society and Enlightenment in the posthumous Malabar Rites controversy

The first presentation of Antoine-Marin Le Mierre`s tragedy Malabar Widow, or the Empire of Customs, took place in 1770. It was based on the famous controversy over the Malabar (south west India) Rites. The object of the controversy was the Jesuit project in India, which started in the beginning of XVII century and was stopped by the Pope Benedict XIV, with the Apostolic Constitution Omnium Sollicitudinum. The papal condemnation of the rites closed a long process which shows the progressive loss of power of the Jesuit Company in the Age of Enlightenment, which will be definitive in 1773, with the suppression of the Company. In Le Mierre`s tragedy, we find the judgment of Malabar rites according to the rationalist ideas of the Enlightenment, with some typical topoi of the philosophes`s cultural perspective. At the same time, the enlightened disputation reproduces the Jesuit internal debate about India itself. Starting from a religious universal perspective of the different strategies of Christianization in India, or in the entire East, the missionary controversy had been about the religious or political interpretation of local signs. Briefly, this polemic would turn into the controversy on the rites. The criticism to the Jesuitical strategy of mission, in XVII and XVIII centuries, would start from here. The enormous number of documents on this issue became a powerful instrument in the battle against the Jesuits, in the XVIII century. On the base of the missionary disputation, the Enlightenment constructs the proposal of a new political and humanistic universal perspective. According to this, eventuality, the religion becomes just a privileged instrument to realize this operation.

Testing permutation properties through subpermutations

There has been great interest in deciding whether a combinatorial structure satisfies some property, or in estimating the value of some numerical function associated with this combinatorial structure, by considering only a randomly chosen substructure of sufficiently large, but constant size. These problems are called property testing and parameter testing, where a property or parameter is said to be testable if it can be estimated accurately in this way. The algorithmic appeal is evident, as, conditional on sampling, this leads to reliable constant-time randomized estimators. Our paper addresses property testing and parameter testing for permutations in a subpermutation perspective; more precisely, we investigate permutation properties and parameters that can be well approximated based on a randomly chosen subpermutation of much smaller size. In this context, we use a theory of convergence of permutation sequences developed by the present authors [C. Hoppen, Y. Kohayakawa, C.G. Moreira, R.M. Sampaio, Limits of permutation sequences through permutation regularity, Manuscript, 2010, 34pp.] to characterize testable permutation parameters along the lines of the work of Borgs et al. [C. Borgs, J. Chayes, L Lovasz, V.T. Sos, B. Szegedy, K. Vesztergombi, Graph limits and parameter testing, in: STOC`06: Proceedings of the 38th Annual ACM Symposium on Theory of Computing, ACM, New York, 2006, pp. 261-270.] in the case of graphs. Moreover, we obtain a permutation result in the direction of a famous result of Alon and Shapira [N. Alon, A. Shapira, A characterization of the (natural) graph properties testable with one-sided error, SIAM J. Comput. 37 (6) (2008) 1703-1727.] stating that every hereditary graph property is testable. (C) 2011 Elsevier B.V. All rights reserved.

Existence of orthogonal geodesic chords on Riemannian manifolds with concave boundary and homeomorphic to the N-dimensional disk

In this paper we give a proof of the existence of an orthogonal geodesic chord on a Riemannian manifold homeomorphic to a closed disk and with concave boundary. This kind of study is motivated by the link (proved in Giambo et al. (2005) [8]) of the multiplicity problem with the famous Seifert conjecture (formulated in Seifert (1948) [1]) about multiple brake orbits for a class of Hamiltonian systems at a fixed energy level. (C) 2010 Elsevier Ltd. All rights reserved.