Carl Friedrichs von Baden brieflicher verkehr mit Mirabeau und Du Pont.

Letters written in French.

Maan magneettikentän dipolimallin toimivuus inklinaatiojakauman perusteella

The magnetic field of the Earth is 99 % of the internal origin and generated in the outer liquid core by the dynamo principle. In the 19th century, Carl Friedrich Gauss proved that the field can be described by a sum of spherical harmonic terms. Presently, this theory is the basis of e.g. IGRF models (International Geomagnetic Reference Field), which are the most accurate description available for the geomagnetic field. In average, dipole forms 3/4 and non-dipolar terms 1/4 of the instantaneous field, but the temporal mean of the field is assumed to be a pure geocentric axial dipolar field. The validity of this GAD (Geocentric Axial Dipole) hypothesis has been estimated by using several methods. In this work, the testing rests on the frequency dependence of inclination with respect to latitude. Each combination of dipole (GAD), quadrupole (G2) and octupole (G3) produces a distinct inclination distribution. These theoretical distributions have been compared with those calculated from empirical observations from different continents, and last, from the entire globe. Only data from Precambrian rocks (over 542 million years old) has been used in this work. The basic assumption is that during the long-term course of drifting continents, the globe is sampled adequately. There were 2823 observations altogether in the paleomagnetic database of the University of Helsinki. The effect of the quality of observations, as well as the age and rocktype, has been tested. For comparison between theoretical and empirical distributions, chi-square testing has been applied. In addition, spatiotemporal binning has effectively been used to remove the errors caused by multiple observations. The modelling from igneous rock data tells that the average magnetic field of the Earth is best described by a combination of a geocentric dipole and a very weak octupole (less than 10 % of GAD). Filtering and binning gave distributions a more GAD-like appearance, but deviation from GAD increased as a function of the age of rocks. The distribution calculated from so called keypoles, the most reliable determinations, behaves almost like GAD, having a zero quadrupole and an octupole 1 % of GAD. In no earlier study, past-400-Ma rocks have given a result so close to GAD, but low inclinations have been prominent especially in the sedimentary data. Despite these results, a greater deal of high-quality data and a proof of the long-term randomness of the Earth's continental motions are needed to make sure the dipole model holds true.

Places making: participatory construction of scientifi c culture cities

In the framework of the European project Platform of Local Authorities and Communicators Engaged in Science (PLACES), we analyse the articulations between scientifi c communication, public perception of science, processes of citizen participation and apropiation of space, based on a case study of the inhabitants of Teruel city, Autonomous Community of Aragon, Spain. On the interrelationships between these issues, there are a number of contradictions, such as the difference between a high interest for information about science and technology and a low level of recognition and interaction with local institutions involved in those activities, the complex conceptualization of scientifi c space in relation to the “public-private” pair, or an articulation of a claiming civic rethoric and an insuffi cient co-responsibility. We conclude that, in a local context, the dimension of territoriality and, in particular, the identifi cation with the town, is a central mediation for activating citizen participation as part of processes of appropriation of space for setting up cities of scientifi c culture.

Historia natural

UANL

Zoología

UANL

On the relationship between the Method of Least Squares and Gram-Schmidt orthogonalization

The method of Least Squares is due to Carl Friedrich Gauss. The Gram-Schmidt orthogonalization method is of much younger date. A method for solving Least Squares Problems is developed which automatically results in the appearance of the Gram-Schmidt orthogonalizers. Given these orthogonalizers an induction-proof is available for solving Least Squares Problems.

Gauss y el polígono regular de 17 lados.

Se recoge uno de los concepto más destacados de Carl Friedrich Gauss como es el polígono regular de 17 lados. Se estudian los diferentes pasos que llevan a la construcción de este polígono con los diferentes cálculos aritméticos.

“Método de Gauss”: inapropriado até no nome

Tal como ressaltado em de Faro e Guerra (2014), tem sido frequente em nossos tribunais, sentenças judiciais determinando que, relativamente ao caso de amortizações de dívidas com prestações constantes, a popular Tabela Price seja substituída por um sistema que, fundamentado em uma particular aplicação do regime de juros simples, vem sendo cognominado de “Método de Gauss” (cf. Antonick e Assunção, 2006 e Nogueira, 2013). E isso, frize-se, mantendo-se o valor numérico da taxa de juros especificada no contrato de financiamento (usualmente, habitacional). A par de ser totalmente inadequado, como discutido em de Faro (2014c), associar o nome do grande matemático alemão Johann Carl Friedrich Gauss (1777-1855) ao procedimento em questão, sucede que ao mesmo, como a qualquer outro que seja baseado no regime de juros simples, associam-se incontornáveis inconsistências. Como já anteriormente, amplamente evidenciado em de Faro (2013b e 2014a). Tomando a Tabela Price como base de comparação, o propósito do presente trabalho é o de aprofundar a análise das deficiências do que tem sido denominado como “Método de Gauss”. Em particular, dado que as sentenças judiciais costumam não alterar os valores numéricos das taxas contratuais de juros, substituindo tão somente o regime de juros compostos, que está implícito na Tabela Price, pela peculiar variante do regime de juros simples que está subjacente ao que se chama de “Método de Gauss”, buscar-se-á considerar a questão do ponto de vista do financiador.

A relação cartográfica e geometria diferencial de Mercator a Gauss

Pós-graduação em Educação Matemática - IGCE

E. T. A. Hoffmann e Jacques Callot: a ficção da imagem

Hoffmann wrote several fairy tales, including "Princess Brambilla" (1821), which has an remarkable pictorial component: when it was published, the text went along with eight illustrations by Carl Friedrich Thiele, which were derived from original prints made by the Frenchman Jacques Callot. While Callot images portray the Italian theater of the Commedia dell'Arte, Thiele's works follow the plot of the narrative, representing the characters of Hoffmann, who disguise themselves because of the carnival that is taking place in Rome. The costumes and masks worn by the characters however do not ensure them full secrecy. Instead of a complete undercover, they lead to double meanings and double identities so that narrative levels and artistic references overlap and create an effect similar to a set of a polyphonic orchestra (which is a metaphor implied in the very subtitle, where the narrative is called a Capriccio).

Back to the future in one week - implementing a Smalltalk VM in PyPy

We report on our experiences with the Spy project, including implementation details and benchmark results. Spy is a re-implementation of the Squeak (i.e., Smalltalk-80) VM using the PyPy toolchain. The PyPy project allows code written in RPython, a subset of Python, to be translated to a multitude of different backends and architectures. During the translation, many aspects of the implementation can be independently tuned, such as the garbage collection algorithm or threading implementation. In this way, a whole host of interpreters can be derived from one abstract interpreter definition. Spy aims to bring these benefits to Squeak, allowing for greater portability and, eventually, improved performance. The current Spy codebase is able to run a small set of benchmarks that demonstrate performance superior to many similar Smalltalk VMs, but which still run slower than in Squeak itself. Spy was built from scratch over the course of a week during a joint Squeak-PyPy Sprint in Bern last autumn.

Programma de privilegio dotis Iudaeae : quo ... Ioannis Meno Ackermanni Lubecensis disputationem inauguralem de Legitima Lubecensi ...

indicit Carol. Frider. Walchius

Judaica seu veterum scriptorum profanorum de rebus Judaicis fragments

coll. Fr. Carolus Meier