A new boundary condition solved with B.I.E.M.

Among the classical operators of mathematical physics the Laplacian plays an important role due to the number of different situations that can be modelled by it. Because of this a great effort has been made by mathematicians as well as by engineers to master its properties till the point that nearly everything has been said about them from a qualitative viewpoint. Quantitative results have also been obtained through the use of the new numerical techniques sustained by the computer. Finite element methods and boundary techniques have been successfully applied to engineering problems as can be seen in the technical literature (for instance [ l ] , [2], [3] . Boundary techniques are especially advantageous in those cases in which the main interest is concentrated on what is happening at the boundary. This situation is very usual in potential problems due to the properties of harmonic functions. In this paper we intend to show how a boundary condition different from the classical, but physically sound, is introduced without any violence in the discretization frame of the Boundary Integral Equation Method. The idea will be developed in the context of heat conduction in axisymmetric problems but it is hoped that its extension to other situations is straightforward. After the presentation of the method several examples will show the capabilities of modelling a physical problem.

On Galileo’s Tallest Column

The height at which an unloaded column will fail under its own weight was calculated for first time by Galileo for cylindrical columns. Galileo questioned himself if there exists a shape function for the cross-section of the column with which the latter can attains a greater height than the cylindrical column. The problem is not solved since then, although the definition of the so named “constant maximum strength” solids seems to give an affirmative answer to Galileo’s question, in the form of shapes than can attains infinite height, even when loaded with a useful load at the top. The main contribution of this work is to show that Galileo’s problem is (i) an important problem for structural design theory of buildings and other structures, (ii) not solved by the time being in any sense and (iii) a interesting problem for mathematicians involved in related but very different problems (as Euler’s tallest column). A contemporary formulation of the problem is included as a result of a research on the subject.

Biomimetismo entre los endemismos arquitectónicos y taxones en Cantabria

Es notoria la importancia de la naturaleza en la evolución de la arquitectura. Hasta la gran eclosión de la industria manufacturera y la mejora en las infraestructuras de comunicación, se podría decir que ambas corrían paralelas, para a partir de ahí dejar “congelada” la sabiduría popular y dar un salto a la globalidad, generando una situación de libertad arquitectónica prácticamente total, que independiza la construcción de su ubicación. "El biomimetismo es esencialmente un campo de investigación interdisciplinar, una serie de colaboraciones entre botánicos, físicos, matemáticos, ingenieros y zoólogos; donde la rígida división entre disciplinas «puras» cede lugar a un área de investigación que apunta a generar tecnología inteligente (smarttechnologies), utilizando materiales o procesos que sean de alguna manera sensibles al medio ambiente." (M. Weinstock, 1998). “La morfología de las plantas en los diferentes climas parece tener cierta analogía con la edificación, ya que algunas de las tensiones que inciden en su forma (tales como las variaciones de temperatura) corresponden de manera similar a las necesidades humanas.” (V. Olgyay 1963). En el presente trabajo se han estudiado las especies endémicas que nos rodean, para poder leer a través de ellas millones de años de supervivencia en este entorno, con el fin de mimetizar sus respuestas. También se han estudiado diferentes tipologías de arquitectura vernácula y su simulación energética, con el propósito de evaluar la demanda energética optima exigible. A partir de una ubicación específica, la orientación, compacidad, perforación y las características de la envolvente son los elementos que más influyen en la demanda energética de una edificación. Tanto la forma como los materiales pueden ser mimetizados con la naturaleza. En esta Tesis se han cuantificado los parámetros de diseño formales tomando como referencia las especies vegetales o la arquitectura vernácula, sin perder de vista los objetivos buscados por normativas o institutos en la reducción del consumo energético vinculado a la calefacción y ventilación. ABSTRACT The importance of the nature in the evolution of the architecture is well-known. Until the great burst of the manufacturing industry and the improvement in communication infrastructures, it would be possible to be said that both ran parallel, stops there from leaving “frozen” the popular wisdom and jump to the globalization, creating a situation almost complete architectural freedom, that it frees the construction of its location. "Biomimicry is essentially an interdisciplinary field of research, a series of collaborations among botanists, physicists, mathematicians, engineers and zoologists; where the rigid division between "pure" disciplines gives way to an area of research that aims to generate intelligent technology (smarttechnologies), using materials and processes that are in some environmentally sensitive manner. "(M. Weinstock, 1998). “The morphology of the plants in different climates seems to have some analogy with the building, as some of the tensions that affect their form (such as the temperature variations) are similar to the human necessities.” (V. Olgyay 1963). In the present work, the endemic species that surround to us have been studied, to be able to read through them millions of years of survival in this environment, in order to mimic their answers. Also different types or popular architecture and their energy simulation have been studied, in order to evaluate the rate of energy optimum demand. Orientation, compactness, perforation and characteristics of the envelope are the elements that influence more in the energy demand of a building. The shape and materials can be mimic with nature. Each of them has been quantified in this work by reference plant species or popular architecture, without losing sight of the objectives sought by regulations or institutes about reduction in energy consumption.

The multivariate L1-median and associated data depth

This paper gives three related results: (i) a new, simple, fast, monotonically converging algorithm for deriving the L1-median of a data cloud in ℝd, a problem that can be traced to Fermat and has fascinated applied mathematicians for over three centuries; (ii) a new general definition for depth functions, as functions of multivariate medians, so that different definitions of medians will, correspondingly, give rise to different dept functions; and (iii) a simple closed-form formula of the L1-depth function for a given data cloud in ℝd.

Do cyanobacteria swim using traveling surface waves?

Bacteria that swim without the benefit of flagella might do so by generating longitudinal or transverse surface waves. For example, swimming speeds of order 25 microns/s are expected for a spherical cell propagating longitudinal waves of 0.2 micron length, 0.02 micron amplitude, and 160 microns/s speed. This problem was solved earlier by mathematicians who were interested in the locomotion of ciliates and who considered the undulations of the envelope swept out by ciliary tips. A new solution is given for spheres propagating sinusoidal waveforms rather than Legendre polynomials. The earlier work is reviewed and possible experimental tests are suggested.

Apuntes sobre la contribución española a las matemáticas

Este artículo pretende ofrecer una visión panorámica de la contribución original de los matemáticos nacidos en el actual territorio español durante el último milenio, analizando las causas de que dicha contribución haya sido inferior a la de países de tamaño, desarrollo económico y poder político semejantes.

Social Changes Reflected in Specialized Languages: Lexical Re-/deconstruction in Lesbian Studies

One of the most important factors of recognition, belonging and identification in scientific communities is their specialized language: doctors, mathematicians and anthropologists feel they are part of a group with which they can interact because they share a common “language”. While ideology is present in all academic registers, it is in human sciences where its presence (or absence) leads to more visible linguistic phenomena. An interesting example is that of lesbian studies: as non-heterosexual members of society have become less stigmatized, lesbian studies have developed a language of their own. In our paper, we shall explore the mechanisms used in the creation of specific vocabulary in this academic area, paying special attention to the refashioning or deconstruction of meaning of established terms as a result of changes in social perception or the challenging of pre-determined meanings.

Student mathematical textbook of James Freeman, 1774

Manuscript volume containing portions of text copied from Nicholas Saunderson’s Elements of algebra, Nicholas Hammond’s The elements of algebra, and John Ward’s The young mathematician’s guide. The volume is divided into two main parts: the first is titled Concerning the parts of Arithmetick (p. 1-98) and the second, The elements of Algebra, extracted from Hammond, Ward & Saunderson (p. 99-259).

Mathematical notebook, and commonplace book, circa 1689-1769

Manuscript notebook, possibly kept by Harvard students, containing 17th century English transcriptions of arithmetic and geometry texts, one of which is dated 1689-1690; 18th century transcriptions from John Ward’s “The Young Mathematician’s Guide”; and notes on physics lectures delivered by John Winthrop, the Hollis Professor of Mathematics and Natural Philosophy at Harvard from 1738 to 1779. The notebook also contains 18th century reading notes on Henry VIII, Tudor succession, and English history from Daniel Neal’s “The History of the Puritans” and David Hume’s “History of England,” and notes on Ancient history, taken mainly from Charles Rollin’s “The Ancient History of the Egyptians, Carthaginians, Assyrians, Babylonians, Medes and Persians, Macedonians and Grecians.” Additionally included are an excerpt from Plutarch’s “Lives” and transcriptions of three articles from “The Gentleman’s Magazine, and Historical Chronicle,” published in 1769: “A Critique on the Works of Ovid”; a book review of “A New Voyage to the West-Indies”; and “Genuine Anecdotes of Celebrated Writers, &.” The flyleaf contains the inscription “Semper boni aliquid operis facito ut diabolus te semper inveniat occupatum,” a variation on a quote of Saint Jerome that translates approximately as “Always good to do some work so that the devil may always find you occupied.” In the seventeenth and eighteenth centuries, Harvard College undergraduates often copied academic texts and lecture notes into personal notebooks in place of printed textbooks. Winthrop used Ward’s textbook in his class, while the books of Hume, Neal, and Rollin were used in history courses taught at Harvard in the 18th century.

The American mathematical monthly : the official journal of the Mathematical Association of America

Mode of access: Internet.

Beretning,

At head of title: Den tredje Skandinaviske matematikerkongress i Kristiania, 1913.

Proceedings of the International Mathematical Congress held ..

Mode of access: Internet.

Biografia di Sebastiano Canterzani /

Includes bibliographical references.

Einige Materialen zur Geschichte der mathematischen Facultät der alten Universität Bologna /

"Vorträge, gehalten vor der Accademia delle Scienze dell'Istituto di Bologna am 9. u. 23. mai sowie 12. December 1844 und 7. Mai 1846"

Les professeurs de mathématiques et de physique générale au Collège de France.

Extrait du Bullettino di bibliografia e di storia delle scienze mathematiche e fisiche t.II, 1869; t. III, 1870.