Packing densities of layered permutations and the minimum number of monotone sequences in layered permutations

In this paper, we present two new results of layered permutation densities. The first one generalizes theorems from H\"{a}st\"{o} (2003) and Warren (2004) to compute the permutation packing of permutations whose layer sequence is~$(1^a,\ell_1,\ell_2,\ldots,\ell_k)$ with~$2^a-a-1\geq k$ (and similar permutations). As a second result, we prove that the minimum density of monotone sequences of length~$k+1$ in an arbitrarily large layered permutation is asymptotically~$1/k^k$. This value is compatible with a conjecture from Myers (2003) for the problem without the layered restriction (the same problem where the monotone sequences have different lengths is also studied).Comment: 24 page

Age-adjusted validation of the most stringent criteria for active surveillance in low-risk prostate cancer patients

55355

Demystifying Rousseau’s “savages”: methodological structure and heuristic function

There is a whole tradition of studies that has superimposed a mythical structure on the concepts of the “savage” in the pure state of nature, and of the American peoples who are also called “savages”: the myth of the “good savage”, the golden age, the terrestrial paradise, etc. Despite the efforts made by other authors to dispel this interpretation, it has not been shown that it jeopardises the central thesis of Rousseau’s anthropology: the defence of natural goodness. We are interested here precisely in uncovering these risks, which may be, at least in part, the result of a biased reading of Derrida’s Grammatology.Existe toda uma tradição de estudos que sobrepôs a estrutura mítica aos conceitos do “selvagem” no puro estado de natureza, e dos povos americanos igualmente chamados de “selvagens”: mito do “bom selvagem”, época ou idade de ouro, paraíso terreal, etc. Apesar dos esforços empreendidos por outros autores, a fim de se desfazerem desta interpretação, não se mostrou que ela põe em risco a tese central da antropologia de Rousseau: a defesa da bondade natural. Nos interessamos aqui, precisamente, a desvelar tais riscos, que podem ser, ao menos em parte, o resultado de uma leitura enviesada da Gramatologia de Derrida.&nbsp

Sobre ensinar e aprender e sobre aprender a ensinar no campo das visualidades contemporâneas

O capítulo procura debater, na era as redes sociais, novos modos de exercício docente, sublinhando a necessidade da pesquisa sistemática (docência-pesquisa) e a implementação das chamadas aulas-acontecimento a partir da formação de professores de artes visuais