Ancient medical texts, modern reading problems

The word tradition has a very specific meaning in linguistics: the passing down of a text, which may have been completed or corrected by different copyists at different times, when the concept of authorship was not the same as it is today. When reading an ancient text the word tradition must be in the reader's mind. To discuss one of the problems an ancient text poses to its modern readers, this work deals with one of the first printed medical texts in Portuguese, the Regimento proueytoso contra ha pestenença, and draws a parallel between it and two related texts, A moche profitable treatise against the pestilence, and the Recopilaçam das cousas que conuem guardar se no modo de preseruar à Cidade de Lixboa E os sãos, & curar os que esteuerem enfermos de Peste. The problems which arise out of the textual structure of those books show how difficult is to establish a tradition of another type, the medical tradition. The linguistic study of the innumerable medieval plague treatises may throw light on the continuities and on the disruptions of the so-called hippocratic-galenical medical tradition.

Statistical treatment of grain-size curves and empirical distributions: densities as compositions?

The preceding two editions of CoDaWork included talks on the possible considerationof densities as infinite compositions: Egozcue and D´ıaz-Barrero (2003) extended theEuclidean structure of the simplex to a Hilbert space structure of the set of densitieswithin a bounded interval, and van den Boogaart (2005) generalized this to the setof densities bounded by an arbitrary reference density. From the many variations ofthe Hilbert structures available, we work with three cases. For bounded variables, abasis derived from Legendre polynomials is used. For variables with a lower bound, westandardize them with respect to an exponential distribution and express their densitiesas coordinates in a basis derived from Laguerre polynomials. Finally, for unboundedvariables, a normal distribution is used as reference, and coordinates are obtained withrespect to a Hermite-polynomials-based basis.To get the coordinates, several approaches can be considered. A numerical accuracyproblem occurs if one estimates the coordinates directly by using discretized scalarproducts. Thus we propose to use a weighted linear regression approach, where all k-order polynomials are used as predictand variables and weights are proportional to thereference density. Finally, for the case of 2-order Hermite polinomials (normal reference)and 1-order Laguerre polinomials (exponential), one can also derive the coordinatesfrom their relationships to the classical mean and variance.Apart of these theoretical issues, this contribution focuses on the application of thistheory to two main problems in sedimentary geology: the comparison of several grainsize distributions, and the comparison among different rocks of the empirical distribution of a property measured on a batch of individual grains from the same rock orsediment, like their composition

Heat capacity measurements by differential scanning calorimetry in the Pd-Pb, Pd-Sn and Pd-ln systems

Molar heat capacities at constant pressure of six solid solutions and 11 intermediate phases in the Pd-Pb, Pd-Sn and Pd-In systems were determined each 10 K by differential scanning calorimetry from 310 to 1000 K, The experimental values have been fitted by polynomials C-p = a + bT + cT(2) + d/T-2. Results are given, discussed and compared with available literature data. (C) 2001 Elsevier Science B.V, AII rights reserved.

1.° Quinti Curtii Rufi de rebus gestis Alexandri Magni libri decem : duo priores desiderantur. — 2.° Libellus cujus titulus : Definitiones Philosophorum de omnibus rebus contra querulos sermocinandi. — 3.° Miraculum de Leone, quod sancti Hieronymi temporibus contigisse fertur.

Colbertinus, antea Jacobi Augusti Thuani

Applications of stochastic analysis in finance and statistical inference

First: A continuous-time version of Kyle's model (Kyle 1985), known as the Back's model (Back 1992), of asset pricing with asymmetric information, is studied. A larger class of price processes and of noise traders' processes are studied. The price process, as in Kyle's model, is allowed to depend on the path of the market order. The process of the noise traders' is an inhomogeneous Lévy process. Solutions are found by the Hamilton-Jacobi-Bellman equations. With the insider being risk-neutral, the price pressure is constant, and there is no equilibirium in the presence of jumps. If the insider is risk-averse, there is no equilibirium in the presence of either jumps or drifts. Also, it is analised when the release time is unknown. A general relation is established between the problem of finding an equilibrium and of enlargement of filtrations. Random announcement time is random is also considered. In such a case the market is not fully efficient and there exists equilibrium if the sensitivity of prices with respect to the global demand is time decreasing according with the distribution of the random time. Second: Power variations. it is considered, the asymptotic behavior of the power variation of processes of the form _integral_0^t u(s-)dS(s), where S_ is an alpha-stable process with index of stability 0&alpha&2 and the integral is an Itô integral. Stable convergence of corresponding fluctuations is established. These results provide statistical tools to infer the process u from discrete observations. Third: A bond market is studied where short rates r(t) evolve as an integral of g(t-s)sigma(s) with respect to W(ds), where g and sigma are deterministic and W is the stochastic Wiener measure. Processes of this type are particular cases of ambit processes. These processes are in general not of the semimartingale kind.

On spectral approximation, Folner sequences and crossed products

In this article we review first some of the possibilities in which the notions of Fo lner sequences and quasidiagonality have been applied to spectral approximation problems. We construct then a canonical Fo lner sequence for the crossed product of a concrete C* -algebra and a discrete amenable group. We apply our results to the rotation algebra (which contains interesting operators like almost Mathieu operators or periodic magnetic Schrödinger operators on graphs) and the C* -algebra generated by bounded Jacobi operators.

Bernstein's problem on weighted polynomial approximation

We formulate a necessary and sufficient condition for polynomials to be dense in a space of continuous functions on the real line, with respect to Bernstein's weighted uniform norm. Equivalently, for a positive finite measure [lletra "mu" minúscula de l'alfabet grec] on the real line we give a criterion for density of polynomials in Lp[lletra "mu" minúscula de l'alfabet grec entre parèntesis].

Estudio de parámetros gasométricos en sangre pre y post oclusión en el ictus agudo isquemico

Durante los procedimientos endovasculares en el ictus isquémico la información per-procedimiento del daño cerebral ayudaría a tomar decisiones sobre intentar la recanalización arterial. Métodos Se estudiaron parámetros gasométricos de sangre extraída durante los procedimientos endovasculares de recanalización. Se obtuvieron muestras proximal y distal a la oclusión. Un estudio gasométrico se realizo inmediatamente. Resultados El estudio mostró diferencias significativas entre las muestras pre-oclusión y postoclusión en la presión parcial de oxígeno (PaO2Pre78,9±16.3mmHgVs73.4±14.9 mmHg,p&0,001). Una curva ROC determinó que una Post-PaO2&70 mmHg predice mejoría clínica. Los pacientes con post-PaO2&70mmHg tuvieron mejor autonomía (medianaMRS:3Vs.6, p=0,024). En el análisis multivariante el único predictor independiente de mejoría clínica fue la Post-PaO2&70(OR:5,21IC95%:1.38-67.24,p=0,013). Conclusión Es posible la obtención de muestras de sangre del tejido lesionado distal a la oclusión. La información puede ser utilizada para predecir evolución clínica y en las decisiones durante el procedimiento.

P. Ovidii Nasonis metamorphoseon libri quindecim : passim inter lineas glossae et ad marginem scholia.

Colbertinus, antea Jacobi Augusti Thuani

Latin 14876

Contient : I S. Bernardi epistola de vita solitaria ; Psalterium Mariale (91) ; II Henrici II, regis Anglorum, epistola de morte Thome Beket ; III Miracula s. Jacobi metrice (1) ; Questiones magistri Boecii super majus volumen Prisciani (61)

Dynamical features of reaction-diffusion fronts in fractals

The speed of front propagation in fractals is studied by using (i) the reduction of the reaction-transport equation into a Hamilton-Jacobi equation and (ii) the local-equilibrium approach. Different equations proposed for describing transport in fractal media, together with logistic reaction kinetics, are considered. Finally, we analyze the main features of wave fronts resulting from this dynamic process, i.e., why they are accelerated and what is the exact form of this acceleration

Effect of initial conditions on the speed of reaction-diffusion fronts

The effect of initial conditions on the speed of propagating fronts in reaction-diffusion equations is examined in the framework of the Hamilton-Jacobi theory. We study the transition between quenched and nonquenched fronts both analytically and numerically for parabolic and hyperbolic reaction diffusion. Nonhomogeneous media are also analyzed and the effect of algebraic initial conditions is also discussed

Speed of reaction-diffusion fronts in spatially heterogeneous media

The front speed problem for nonuniform reaction rate and diffusion coefficient is studied by using singular perturbation analysis, the geometric approach of Hamilton-Jacobi dynamics, and the local speed approach. Exact and perturbed expressions for the front speed are obtained in the limit of large times. For linear and fractal heterogeneities, the analytic results have been compared with numerical results exhibiting a good agreement. Finally we reach a general expression for the speed of the front in the case of smooth and weak heterogeneities

La teoría de Morales-Ramis y el algoritmo de Kovacic

La teor\'\ı a de Morales–Ramis es la teor\'\ı a de Galois en el contextode los sistemas din\'amicos y relaciona dos tipos diferentes de integrabilidad:integrabilidad en el sentido de Liouville de un sistema hamiltonianoe integrabilidad en el sentido de la teor\'\ı a de Galois diferencial deuna ecuaci\'on diferencial. En este art\'\i culo se presentan algunas aplicacionesde la teor\'\i a de Morales–Ramis en problemas de no integrabilidadde sistemas hamiltonianos cuya ecuaci\'on variacional normal a lo largode una curva integral particular es una ecuaci\'on diferencial lineal desegundo orden con coeficientes funciones racionales. La integrabilidadde la ecuaci\'on variacional normal es analizada mediante el algoritmode Kovacic.