ken

From the beginning, the world of game-playing by machine has been fortunate in attracting contributions from the leading names of computer science. Charles Babbage, Konrad Zuse, Claude Shannon, Alan Turing, John von Neumann, John McCarthy, Alan Newell, Herb Simon and Ken Thompson all come to mind, and each reader will wish to add to this list. Recently, the Journal has saluted both Claude Shannon and Herb Simon. Ken’s retirement from Lucent Technologies’ Bell Labs to the start-up Entrisphere is also a good moment for reflection.

Generalised Dirichelt-to-Neumann map in time dependent domains

We study the heat, linear Schrodinger and linear KdV equations in the domain l(t) < x < ∞, 0 < t < T, with prescribed initial and boundary conditions and with l(t) a given differentiable function. For the first two equations, we show that the unknown Neumann or Dirichlet boundary value can be computed as the solution of a linear Volterra integral equation with an explicit weakly singular kernel. This integral equation can be derived from the formal Fourier integral representation of the solution. For the linear KdV equation we show that the two unknown boundary values can be computed as the solution of a system of linear Volterra integral equations with explicit weakly singular kernels. The derivation in this case makes crucial use of analyticity and certain invariance properties in the complex spectral plane. The above Volterra equations are shown to admit a unique solution.

The Dirichlet-to-Neumann map for the elliptic sine Gordon

We analyse the Dirichlet problem for the elliptic sine Gordon equation in the upper half plane. We express the solution $q(x,y)$ in terms of a Riemann-Hilbert problem whose jump matrix is uniquely defined by a certain function $b(\la)$, $\la\in\R$, explicitly expressed in terms of the given Dirichlet data $g_0(x)=q(x,0)$ and the unknown Neumann boundary value $g_1(x)=q_y(x,0)$, where $g_0(x)$ and $g_1(x)$ are related via the global relation $\{b(\la)=0$, $\la\geq 0\}$. Furthermore, we show that the latter relation can be used to characterise the Dirichlet to Neumann map, i.e. to express $g_1(x)$ in terms of $g_0(x)$. It appears that this provides the first case that such a map is explicitly characterised for a nonlinear integrable {\em elliptic} PDE, as opposed to an {\em evolution} PDE.

Franz Neumann, the rule of law and the unfulfilled promise of classical liberal thought

This thesis draws on the work of Franz Neumann, a critical theorist associated with the early Frankfurt School, to evaluate liberal arguments about political legitimacy and to develop an original account of the justification for the liberal state.

O processo de transcrição da Suíte 20 de Johann Jacob Froberger para violão solo

Este trabalho trata do processo de transcrição da Suíte 20 de J. J Froberger para violão solo. O objetivo geral é descrever o processo de transcrição com base em modelos de transcrição dos séculos XVII e XXI. A partir destas análises foi construído um referencial teórico para aplicação na transcrição da Suíte 20. A identificação dos elementos típicos do chamado stile brisé a partir do referencial foi essencial para o processo de transcrição da suíte 20, que se utilizou de vários procedimentos similares. No anexo deste artigo consta uma edição comparativa da versão original da Suíte 20 com a transcrição, bem como outra edição com a parte do violão solo e sugestões de execução.

Ernst Bloch: esperança e educação em tempos de niilismo

This work aims give evidence of that The hope principle, the philosophical system devised by the German philosopher Ernst Bloch, in which hope assumes an ontological character, offers cognitive support that allows overcoming the void imposed by nihilism today, especially in the field of education. But while it offers cognitive support, it also presents a need that is fulfilled by an educational proposal based on a not-yet-conscious being. An education based on hope has four essential pillars: learning to know, learning to do, learning to be, learning to live together and, most of all, immerging into in the seas of uncertainty. In times when school is a promoter of certainties at the expense of uncertainties, education must not forsake the notion of the unpredictable and immeasurable, nor the need to find ways to enable better understanding of aspect related to the not-yet-be. The employed theoretical and methodological elements in this work paint a corpus through an interactive process in which layers of additional texts are subjected to analysis

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

A psicologia do ego de ernst kris e seu legado para a psicanálise da arte

This article intends to discuss the importance of the ego-psychology towards the psychoanalytical interpretation of the aesthetic experience. Its focus is based on the Ernst Kris original work, therefore it intends to present certain basis of his aesthetical thinking. In this case, however, it will suggest one certain reading which emphasizes the problem of sublimation as a drive destination-and not as a defense mechanism-in within this relationship between art and psychoanalysis; hence, it brings out a phenomenon that crosses the psychoanalytical thinking since its first conception.

Error estimates for a neumann problem in highly oscillating thin domains

In this work we analyze the convergence of solutions of the Poisson equation with Neumann boundary conditions in a two-dimensional thin domain with highly oscillatory behavior. We consider the case where the height of the domain, amplitude and period of the oscillations are all of the same order, and given by a small parameter e > 0. Using an appropriate corrector approach, we show strong convergence and give error estimates when we replace the original solutions by the first-order expansion through the Multiple-Scale Method.