T2-Groups And a Characterization of the Finite Groups of Moebius Transformations

1965 ◽  
Vol 17 ◽  
pp. 353-366 ◽  
Author(s):  
P. J. Lorimer
Keyword(s):  
Finite Fields ◽  
Finite Groups ◽  
The Real ◽  
Real Complex

In recent years a number of algebraic characterizations of the groups of Moebius transformations over finite fields have been given in the literature; see (1, 3, 6). H. W. E. Schwerdtfeger has noticed (4) that the group G of Moebius transformations over the real, complex, and certain other fields has the property:

scholarly journals A Tool for the Analysis and Characterization of School Mathematical Models

Mathematics ◽  
2021 ◽  
Vol 9 (13) ◽  
pp. 1569
Author(s):  
Jesús Montejo-Gámez ◽  
Elvira Fernández-Ahumada ◽  
Natividad Adamuz-Povedano
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Models ◽  
Educational Research ◽  
Analysis Procedure ◽  
Real System ◽  
The Real ◽  
School Model ◽  
Corresponding Analysis ◽  
Three Components

This paper shows a tool for the analysis of written productions that allows for the characterization of the mathematical models that students develop when solving modeling tasks. For this purpose, different conceptualizations of mathematical models in education are discussed, paying special attention to the evidence that characterizes a school model. The discussion leads to the consideration of three components, which constitute the main categories of the proposed tool: the real system to be modeled, its mathematization and the representations used to express both. These categories and the corresponding analysis procedure are explained and illustrated through two working examples, which expose the value of the tool in establishing the foci of analysis when investigating school models, and thus, suggest modeling skills. The connection of this tool with other approaches to educational research on mathematical modeling is also discussed.

Kleinian characterization of asymptotic symmetries of real general relativity

1993 ◽  
Vol 441 (1913) ◽  
pp. 465-471 ◽  
Keyword(s):  
General Relativity ◽  
Automorphism Group ◽  
Group Action ◽  
Radon Transform ◽  
Symmetry Groups ◽  
Asymptotic Symmetry ◽  
The Real ◽  
The Given ◽  
Asymptotic Symmetries

According to Klein’s Erlanger programme, one may (indirectly) specify a geometry by giving a group action. Conversely, given a group action, one may ask for the corresponding geometry. Recently, I showed that the real asymptotic symmetry groups of general relativity (in any signature) have natural ‘projective’ classical actions on suitable ‘Radon transform’ spaces of affine 3-planes in flat 4-space. In this paper, I give concrete models for these groups and actions. Also, for the ‘atomic’ cases, I give geometric structures for the spaces of affine 3-planes for which the given actions are the automorphism group.

Practical Steps and Reasons for Action

1997 ◽  
Vol 27 (1) ◽  
pp. 17-45 ◽  
Author(s):  
Philip Clark
Keyword(s):  
Reasons For Action ◽  
Reasons For Belief ◽  
The Real ◽  
General Characterization ◽  
Practical Inference

There is an idea, going back to Aristotle, that reasons for action can be understood on a parallel with reasons for belief. Not surprisingly, the idea has almost always led to some form of inferentialism about reasons for action. In this paper I argue that reasons for action can be understood on a parallel with reasons for belief, but that this requires abandoning inferentialism about reasons for action. This result will be thought paradoxical. It is generally assumed that if there is to be a useful parallel, there must be some such thing as a practical inference. As we shall see, that assumption tends to block the fruitful exploration of the real parallel. On the view I shall defend, the practical analogue of an ordinary inference is not an inference, but something I shall call a practical step. Nevertheless, the practical step will do, for a theory of reasons for action, what ordinary inference does for an inferentialist theory of reasons for belief. The result is a general characterization of reasons, practical and theoretical, in terms of the correctness conditions of the relevant sorts of step.

scholarly journals The Fabrics Design Influence in Real and Simulated Drape of Clothing

2020 ◽  
Author(s):  
Rui Miguel ◽  
José Lucas ◽  
Sónia Melo ◽  
Madalena Pereira ◽  
Clara Fernandes ◽  
...  
Keyword(s):  
Mechanical Properties ◽  
Comparative Analysis ◽  
Experimental Work ◽  
Structural Characteristics ◽  
Research Work ◽  
Wear Performance ◽  
The Real ◽  
Fashion Products ◽  
Technology And Design

This research work aims to study the influence of the fabrics in the wear performance of clothing. For this, an experimental work was developed with two fabric samples having the same weight/m2, one single and another double, and a jacket prototype. Through a comparative analysis of the mechanical properties, very interesting results was obtained in the evaluation and characterization of the two fabrics performance in designing the same jacket, namely the drape and the corresponded aesthetic fabrics behaviours during wear. The structural characteristics and mechanical properties of each fabric were introduced into Marvelous Designer Version 8 software to simulate the virtual draping of fabrics in a skirt. The analysis of the drape profile of each fabric given by the software and the drape of the real fabrics evaluated in laboratory indicates, coherently, that the double fabric falls less than the single, but in a more harmonious way, what evidence the close links between technology and design of fashion products. Keywords: Fabrics design, Fabrics mechanical properties, Clothing drape, Real and simulated drape

scholarly journals Sobre una caracterización 'corbuseriana' del mobiliario moderno

2015 ◽  
Author(s):  
María Villanueva Fernández ◽  
Héctor García-Diego
Keyword(s):  
Special Reference ◽  
Interwar Period ◽  
Le Corbusier ◽  
Comprehensive Overview ◽  
Modern Equipment ◽  
The Real ◽  
Joint Development ◽  
The One ◽  
Selection Of

Resumen: A partir de 1920 Le Corbusier comenzó a elaborar un cuerpo teórico sobre el diseño de objetos que iría difundiendo a través de sus escritos y conferencias. Libros como Vers une architecture, L´art décoratif d´aujourd´hui o Précisions sur un état présent de l'architecture et de l'urbanisme han constituído un rico legado de ideas e imágenes interrelacionadas que permiten analizar la propuesta del arquitecto desde el plano de la teoría. Sin embargo, el poder de sus postulados fue continuamente experimentado y corroborado por su obra en materia de mobiliario, hasta el punto de establecerse relaciones directas entre teoría y obra. Esta evolución conjunta proporciona una completa visión del concepto de mobiliario moderno desarrollado por Le Corbusier. Por tanto, esta investigación persigue, por un lado, sacar a la luz un verdadero cuerpo teórico de cuño 'corbuseriano' y específico del equipamiento moderno, haciendo especial mención a los postulados y dibujos originales del arquitecto y, por otro, comprobar la correspondencia real entre sus teorías y sus obras mediante el análisis de una escogida selección de obras del arquitecto pertenecientes al periodo de entreguerras, para, finalmente, ofrecer una caracterización 'corbuseriana' del mobiliario moderno. Abstract: From 1920 Le Corbusier began to develop a theoretical body on the objects design that went spreading through his writings and lectures. Books like Vers une architecture, L'art décoratif d'aujourd'hui or Précisions sur un état présent de l'architecture et de l'urbanisme have constituted a rich legacy of interlinked ideas and images to analyze the proposal of the architect from the level of theory. However, the power of its principles was continuously experienced and corroborated by his work in furniture, to the point of establishing direct relations between theory and work. This joint development provides a comprehensive overview of modern furniture concept developed by Le Corbusier. Therefore, this research aims on the one hand, to expose a 'Corbusian' and specific theoretical body of modern equipment, with special reference to the principles and original drawings by the architect; and, secondly, to check the real correspondence between his theories and works by analyzing a choice selection of works by the architect belonging to the interwar period, to finally offer a 'Corbusian' characterization of modern furniture.Palabras clave: Teoría; mobiliario; moderno; escritos. Keywords: Theory; furniture; modern; writings. DOI: http://dx.doi.org/10.4995/LC2015.2015.569 

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