A geometria da Esponja de Menger

Neste trabalho estudaremos algumas propriedades geom´etricas do fractal “Esponja de Menger”, que é um objeto matemático construído através de um processo recursivo infinito que o torna auto-semelhante. Além disso, a dimens˜ao de um fractal n˜ao é necessariamente um número inteiro, diferentemente do que ocorre com os objetos da Geometria Euclidiana. Mais ainda, a Esponja possui área infinita e volume nulo, fatos que demonstraremos ao longo deste texto.

An introduction to the theory of value on the lines of Menger, Wieser, and Bohm-Bawerk,

"Writers and books referred to": p. viii.

Karl Marx és Karl Menger néhány gondolata a pénz eredetéről = The thoughts of Karl Marx and Karl Menger about the origin of money

Kisebb bizonytalankodás után a legtöbb közgazdászhallgató a pénz funkcióinak felsorolásába kezd, ha megkérdezik, hogyan határozná meg a pénz fogalmát. A gyakorlatiasabb, vagy a számvitel iránt elkötelezettebb diákok esetleg felidézik a banki mérleget és – részben helyesen – a pénzt kötelezettségként helyezik el benne. Mintha azonban még mindig egy kicsit pironkodnánk, hogy nem találjuk a megfelelő definíciót. És ez már így megy évszázadok óta. Jelen tanulmányban két XIX. századi közgazdász – Karl Marx és Karl Menger – néhány pénzelméleti következtetését igyekszem összehasonlítani, figyelembe véve az általuk képviselt közgazdasági elmélet alapvető eltéréseit. A mára általánosan elfogadottá váló szubjektív értékelmélet és a kissé elfeledett munkaérték-elmélet látszólag teljesen eltérő feltevéseire alapozva a két gondolkodó egészen hasonló eredményre jutott. Számukra a pénz nem egy egyszerű eszköz, sem követelés és kötelezettség, ahogyan most elkönyvelnénk, hanem áru. Eredetét nem állami törvényekből vezetik le, hanem társadalmi konszenzus során létrejött jelenségnek tekintik a pénzt, ami fölötte áll a törvényeknek, eredendően nem jelképet testesít meg, hanem különleges jószágként válik alkalmassá értékjel kifejezésére. / === / If being asked how to define money most students of economics would start listing the functions of money, or those students with more practical insight would place money as liability in the balance sheet of banks. It seems, however, as if we were still embarrassed by not finding the right definition. In the present study I am endeavouring to give a brief overview of various theoretical findings on the essence of money in the economy preceding the 19th century and then compare some money theoretical conclusions of two economists – Karl Marx and Karl Menger – considering the major differences of the economic theories represented by them. On the basis of the premises of the widely accepted subjective value theory and the somewhat forgotten labour theory of value the two 19th century thinkers came to rather similar results. For them money is not a simple means of payment, nor liability or claim, the way we would account for them now, but a special commodity. They do not attach its creation to the appearance of state laws on money as a legal tender but regard it as a social phenomenon which became capable of expressing a value token due to its peculiar characteristics.

Small animal bone healing models : standards, tips, and pitfalls results of a consensus meeting

Small animal fracture models have gained increasing interest in fracture healing studies. To achieve standardized and defined study conditions, various variables must be carefully controlled when designing fracture healing experiments in mice or rats. The strain, age and sex of the animals may influence the process of fracture healing. Furthermore, the choice of the fracture fixation technique depends on the questions addressed, whereby intra- and extramedullary implants as well as open and closed surgical approaches may be considered. During the last few years, a variety of different, highly sophisticated implants for fracture fixation in small animals have been developed. Rigid fixation with locking plates or external fixators results in predominantly intramembranous healing in both mice and rats. Locking plates, external fixators, intramedullary screws, the locking nail and the pin-clip device allow different degrees of stability resulting in various amounts of endochondral and intramembranous healing. The use of common pins that do not provide rotational and axial stability during fracture stabilization should be discouraged in the future. Analyses should include at least biomechanical and histological evaluations, even if the focus of the study is directed towards the elucidation of molecular mechanisms of fracture healing using the largely available spectrum of antibodies and gene-targeted animals to study molecular mechanisms of fracture healing. This review discusses distinct requirements for the experimental setups as well as the advantages and pitfalls of the different fixation techniques in rats and mice.

A new model to analyze metaphyseal bone healing in mice

Background: Despite the increasing clinical problems with metaphyseal fractures, most experimental studies investigate the healing of diaphyseal fractures. Although the mouse would be the preferable species to study the molecular and genetic aspects of metaphyseal fracture healing, a murine model does not exist yet. Using a special locking plate system, we herein introduce a new model, which allows the analysis of metaphyseal bone healing in mice. Methods: In 24 CD-1 mice the distal metaphysis of the femur was osteotomized. After stabilization with the locking plate, bone repair was analyzed radiologically, biomechanically, and histologically after 2 (n = 12) and 5 wk (n = 12). Additionally, the stiffness of the bone-implant construct was tested biomechanically ex vivo. Results: The torsional stiffness of the bone-implant construct was low compared with nonfractured control femora (0.23 ± 0.1 Nmm/°versus 1.78 ± 0.15 Nmm/°, P < 0.05). The cause of failure was a pullout of the distal screw. At 2 wk after stabilization, radiological analysis showed that most bones were partly bridged. At 5 wk, all bones showed radiological union. Accordingly, biomechanical analyses revealed a significantly higher torsional stiffness after 5 wk compared with that after 2 wk. Successful healing was indicated by a torsional stiffness of 90% of the contralateral control femora. Histological analyses showed new woven bone bridging the osteotomy without external callus formation and in absence of any cartilaginous tissue, indicating intramembranous healing. Conclusion: With the model introduced herein we report, for the first time, successful metaphyseal bone repair in mice. The model may be used to obtain deeper insights into the molecular mechanisms of metaphyseal fracture healing. © 2012 Elsevier Inc. All rights reserved.

What is a good project manager? Reconceptualizing the “do” : an Aristotelian perspective

In Social Science (Organization Studies, Economics, Management Science, Strategy, International Relations, Political Science…) the quest for addressing the question “what is a good practitioner?” has been around for centuries, with the underlying assumptions that good practitioners should lead organizations to higher levels of performance. Hence to ask “what is a good “captain”?” is not a new question, we should add! (e.g. Tsoukas & Cummings, 1997, p. 670; Söderlund, 2004, p. 190). This interrogation leads to consider problems such as the relations between dichotomies Theory and Practice, rigor and relevance of research, ways of knowing and knowledge forms. On the one hand we face the “Enlightenment” assumptions underlying modern positivist Social science, grounded in “unity-of-science dream of transforming and reducing all kinds of knowledge to one basic form and level” and cause-effects relationships (Eikeland, 2012, p. 20), and on the other, the postmodern interpretivist proposal, and its “tendency to make all kinds of knowing equivalent” (Eikeland, 2012, p. 20). In the project management space, this aims at addressing one of the fundamental problems in the field: projects still do not deliver their expected benefits and promises and therefore the socio-economical good (Hodgson & Cicmil, 2007; Bredillet, 2010, Lalonde et al., 2012). The Cartesian tradition supporting projects research and practice for the last 60 years (Bredillet, 2010, p. 4) has led to the lack of relevance to practice of the current conceptual base of project management, despite the sum of research, development of standards, best & good practices and the related development of project management bodies of knowledge (Packendorff, 1995, p. 319-323; Cicmil & Hodgson, 2006, p. 2–6, Hodgson & Cicmil, 2007, p. 436–7; Winter et al., 2006, p. 638). Referring to both Hodgson (2002) and Giddens (1993), we could say that “those who expect a “social-scientific Newton” to revolutionize this young field “are not only waiting for a train that will not arrive, but are in the wrong station altogether” (Hodgson, 2002, p. 809; Giddens, 1993, p. 18). While, in the postmodern stream mainly rooted in the “practice turn” (e.g. Hällgren & Lindahl, 2012), the shift from methodological individualism to social viscosity and the advocated pluralism lead to reinforce the “functional stupidity” (Alvesson & Spicer, 2012, p. 1194) this postmodern stream aims at overcoming. We suggest here that addressing the question “what is a good PM?” requires a philosophy of practice perspective to complement the “usual” philosophy of science perspective. The questioning of the modern Cartesian tradition mirrors a similar one made within Social science (Say, 1964; Koontz, 1961, 1980; Menger, 1985; Warry, 1992; Rothbard, 1997a; Tsoukas & Cummings, 1997; Flyvbjerg, 2001; Boisot & McKelvey, 2010), calling for new thinking. In order to get outside the rationalist ‘box’, Toulmin (1990, p. 11), along with Tsoukas & Cummings (1997, p. 655), suggests a possible path, summarizing the thoughts of many authors: “It can cling to the discredited research program of the purely theoretical (i.e. “modern”) philosophy, which will end up by driving it out of business: it can look for new and less exclusively theoretical ways of working, and develop the methods needed for a more practical (“post-modern”) agenda; or it can return to its pre-17th century traditions, and try to recover the lost (“pre-modern”) topics that were side-tracked by Descartes, but can be usefully taken up for the future” (Toulmin, 1990, p. 11). Thus, paradoxically and interestingly, in their quest for the so-called post-modernism, many authors build on “pre-modern” philosophies such as the Aristotelian one (e.g. MacIntyre, 1985, 2007; Tsoukas & Cummings, 1997; Flyvbjerg, 2001; Blomquist et al., 2010; Lalonde et al., 2012). It is perhaps because the post-modern stream emphasizes a dialogic process restricted to reliance on voice and textual representation, it limits the meaning of communicative praxis, and weaking the practice because it turns away attention from more fundamental issues associated with problem-definition and knowledge-for-use in action (Tedlock, 1983, p. 332–4; Schrag, 1986, p. 30, 46–7; Warry, 1992, p. 157). Eikeland suggests that the Aristotelian “gnoseology allows for reconsidering and reintegrating ways of knowing: traditional, practical, tacit, emotional, experiential, intuitive, etc., marginalised and considered insufficient by modernist [and post-modernist] thinking” (Eikeland, 2012, p. 20—21). By contrast with the modernist one-dimensional thinking and relativist and pluralistic post-modernism, we suggest, in a turn to an Aristotelian pre-modern lens, to re-conceptualise (“re” involving here a “re”-turn to pre-modern thinking) the “do” and to shift the perspective from what a good PM is (philosophy of science lens) to what a good PM does (philosophy of practice lens) (Aristotle, 1926a). As Tsoukas & Cummings put it: “In the Aristotelian tradition to call something good is to make a factual statement. To ask, for example, ’what is a good captain’?’ is not to come up with a list of attributes that good captains share (as modem contingency theorists would have it), but to point out the things that those who are recognized as good captains do.” (Tsoukas & Cummings, 1997, p. 670) Thus, this conversation offers a dialogue and deliberation about a central question: What does a good project manager do? The conversation is organized around a critic of the underlying assumptions supporting the modern, post-modern and pre-modern relations to ways of knowing, forms of knowledge and “practice”.

Una investigación sobre los principios económicos de Juan Bautista Alberdi y sus vinculaciones con la tradición de la escuela austríaca

Resumen: El Dr. Juan Bautista Alberdi, abogado, jurista, periodista, tratadista de derecho comparado, constitucionalista, economista, legislador y político, es considerado una figura insoslayable en la inspiración de las instituciones políticas, sociales y económicas de la organización nacional de la República Argentina durante el siglo XIX. De hecho se lo sindica como la fuente primaria, principal y casi excluyente de la constitución de la República Argentina que fuera aprobada por el Congreso de 1853, si se toma a sus trabajos de derecho comparado,. Complementariamente, concibió un tratado sobre “El sistema económico y rentístico” que aconsejaba adoptar a la Confederación, en el cual se encuentra una gran cantidad de puntos de vista económicos que se pueden considerar muy relevantes al sistema económico a adoptar por la nación. Con posterioridad, en diferentes fechas, e incluso en forma póstuma, se dieron a conocer más trabajos suyos en los que abordaba cuestiones económicas importantes. Dada su formación, que puede considerarse anterior a la del fundador de la Escuela Austriaca, (ya que, aunque en cierto aspectos fueron contemporáneos, la vida de Alberdi se inicia y termina unos 30 años antes que la de Menger), y considerando la barrera del idioma y otras cuestiones que pueden separarlos, la idea de este trabajo es tratar de investigar sobre los puntos de contacto entre ambas corrientes del pensamiento. La intención de esta investigación es doble: Por un lado, abrir un camino de estudio y dar a conocer a otros ámbitos, el pensamiento del Genial Tucumano, y su vigencia en el tiempo. Por otro lado, y ya, de una mayor complejidad y dando lugar a mayor controversia, analizar otro aspecto. Esto es, si dada la actual revalorización del pensamiento austriaco, especialmente en lo relativo a su teoría del ciclo económico, por un lado, y la proverbial inestabilidad mostrada por la economía argentina, al menos en los últimos 80 años, se puede intentar, retornando a los valores Alberdianos rescatar un ordenamiento institucional, que por encontrarse en la esencia de su pensamiento y por ende ser absolutamente compatible con el espíritu fundacional de nuestra constitución, permita además un fortalecimiento institucional del funcionamiento económico argentino.

El diagnóstico de la crisis de la cultura en España: del recorte público a la crisis sistémica

Desde su invención en los años cincuenta, la política cultural ha sido objeto de análisis y reflexión por parte de las ciencias sociales. No obstante, en España presenta una serie de características diferenciadoras frente a las democracias occidentales europeas como consecuencia del periodo franquista. Con la recuperación de la democracia España adquiere el paradigma dominante de una política cultural democrática basada en la libertad, el pluralismo y el derecho a la cultura. Sin embargo, tras décadas de gobiernos democráticos el diagnóstico de la política cultural en España presenta rasgos de crisis sistémica, además de los efectos de la crisis global financiera de inicios del siglo XXI. En este contexto, los autores diagnostican, aplicando la metodología Delphi y recurriendo a fuentes secundarias, un conjunto de discursos sociales y narrativas que parecen funcionar como recursos cognitivos solucionistas en la esfera artística y cultural y que no están exentos de contradicciones y aporías, fruto de su contraste empírico.

Mercado, formação e sucesso: actores e bailarinos entre persistência e desilusão

A tríade arte, formação e mercado tem sido amplamente discutida por sociólogos e economistas (Towse 1993, 2006; Menger 1997, 2009; Throsby 1996, 2006; Benhamou 2000; Santos et al. 2003, Ferreira 2003), utilizada nos discursos de agentes e decisores políticos e ainda nos estudos que avaliam as iniciativas públicas e privadas desenhadas para o sector cultural e criativo, a nível nacional (Mateus 2010) e supranacional (Relatório da UNESCO 2010). O crescente interesse pela relação entre arte, formação e inserção dos indivíduos no mercado de trabalho artístico parece estar relacionado com uma questão central das sociedades contemporâneas para a qual ainda não houve a devida resposta: qual é o papel assumido pelos vários aspectos da formação que os indivíduos recebem ao longo da sua vida na ligação bem-sucedida com a sua profissão e o mercado de trabalho artístico?

Français 2307

Contient : 1° « Remonstrances sur les miseres et abuz de ce monde, pour retraire ung chascun de peché » ; 2° « Instruction et doctrine à bien vivre et mourir » ; 3° « Aux jeunes mariez » ; 4° « Plusieurs beaulx Dictz et enseignemens de la saige CHRISTINE DE PISAN à son filz » ; 5° « Plusieurs Enseignemens utiles et prouffitables » ; 6° « Contre aulcuns exces qui se commettent chascun jour à boire et menger » ; 7° « De la Beaulté tres excellente-de Nostre Seigneur Jesus Christ » ; 8° « La Voye de paradis » ; 9° « Plusieurs devotes Contemplations sur les injures, derisions et opprobres faictz à Nostre Seigneur Jesus Christ, touchant les parolles dictes par Pylate : Eccehomo » ; 10° De la Patience ; 11° « De la Brefveté de la vie humaine » ; 12° « Rondeau contre les mal parlans ». Refrain : « Entre vivans » ; 13° « Les douze Vertuz et qualitez » ; 14° De la Nécessité de mourir ; 15° « Calcul de plusieurs pieces de monnoye » ; 16° « Ballade contre les aveuglez mondains » (fol. 54). Refrain : « C'est parce que sommes pervers » ; 17° « Aultre Ballade moralle contre les aveuglez mondains » (fol. 55). Refrain : « Quant de voz maulx vous fauldra rendre compte » ; 18° « Rondeau double de la misere du monde » (fol. 56). Refrain : « Où pensez vous ? » ; 19° « Bons Enseignemens et authoritez » ; 20° « Bon Regime fort utile pour le corps et l'ame d'ung chascun » ; 21° « Destruction du corps humain » ; 22° « Dicton utile pour chascune personne » ; 23° « Ballade faicte en l'honneur de la croix, la couronne d'espines et la lance de Nostre Seigneur Jesus Christ ». Refrain : « Tant que les larmes en yssent de noz yeux » ; 24° « Aultre Ballade en l'honneur de la glorieuse Vierge Marie » (fol. 62). Refrain : « Mere de Dieu, que veult on plus ? » ; 25° « Aultre Ballade en l'honneur de monsieur sainct Jehan l'evangeliste » (fol. 63). Refrain : « Mignon de Dieu, que veult on plus ? » ; 26° Enseignements

A study on fuzzy semi inner product spaces

Mathematical models are often used to describe physical realities. However, the physical realities are imprecise while the mathematical concepts are required to be precise and perfect. Even mathematicians like H. Poincare worried about this. He observed that mathematical models are over idealizations, for instance, he said that only in Mathematics, equality is a transitive relation. A first attempt to save this situation was perhaps given by K. Menger in 1951 by introducing the concept of statistical metric space in which the distance between points is a probability distribution on the set of nonnegative real numbers rather than a mere nonnegative real number. Other attempts were made by M.J. Frank, U. Hbhle, B. Schweizer, A. Sklar and others. An aspect in common to all these approaches is that they model impreciseness in a probabilistic manner. They are not able to deal with situations in which impreciseness is not apparently of a probabilistic nature. This thesis is confined to introducing and developing a theory of fuzzy semi inner product spaces.

Resumen de las principales ponencias de la Conferencia sobre música contemporánea organizada por el Consejo de Europa.

Se resume el contenido de las ponencias presentadas a la Conferencia que sobre la música contemporánea se ha celebrado en Estrasburgo, en septiembre de 1985. Los informes presentados tratan de: 'El compositor de hoy-una época nueva. Medios nuevos' a cargo de Jacques Guyonnet; 'Centro Europeo de Documentación y de Difusión para la Música Contemporánea' de Carla Henius; 'Aspectos psicológicos de los tiempos en la música contemporánea' por Michel Imberty; 'Los niños y las músicas de nuestro tiempo' a cargo de John Paynter; 'La música como espacio metacultural de educación' de Boris Porena; 'Música moderna, música pedagógica, pedagogía musical' de Henri Pousseur; 'La evolución de los gustos musicales. Aspectos psicológicos y neuropsicológicos' por Arlette Zenati; 'Inventar-escuchar-juzgar: la oferta y la demanda de música nueva' de Pierre-Michel Menger y, 'Los festivales y la difusión contemporánea' a cargo de Laurent Bayle.