A Study of Closure and Fuzzy Closure Spaces with Reference to H-Closedness and Convexity

Department of Mathematics, Cochin University of Science and Technology.

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.

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. The 1st chapter give a brief summary of the arithmetic of fuzzy real numbers and the fuzzy normed algebra M(I). Also we explain a few preliminary definitions and results required in the later chapters. Fuzzy real numbers are introduced by Hutton,B [HU] and Rodabaugh, S.E[ROD]. Our definition slightly differs from this with an additional minor restriction. The definition of Clementina Felbin [CL1] is entirely different. The notations of [HU]and [M;Y] are retained inspite of the slight difference in the concept.the 3rd chapter In this chapter using the completion M'(I) of M(I) we give a fuzzy extension of real Hahn-Banch theorem. Some consequences of this extension are obtained. The idea of real fuzzy linear functional on fuzzy normed linear space is introduced. Some of its properties are studied. In the complex case we get only a slightly weaker analogue for the Hahn-Banch theorem, than the one [B;N] in the crisp case

Finding Spaces for Urban Food Production – Matching Spatial and Stakeholder Analysis with Urban Agriculture Approaches in the Urban Renewal Area of Dortmund-Hörde, Germany

Using the case of an economically declined neighbourhood in the post-industrial German Ruhr Area (sometimes characterized as Germany’s “Rust Belt”), we analyse, describe and conclude how urban agriculture can be used as a catalyst to stimulate and support urban renewal and regeneration, especially from a socio-cultural perspective. Using the methodological framework of participatory action research, and linking bottom-up and top-down planning approaches, a project path was developed to include the population affected and foster individual responsibility for their district, as well as to strengthen inhabitants and stakeholder groups in a permanent collective stewardship for the individual forms of urban agriculture developed and implemented. On a more abstract level, the research carried out can be characterized as a form of action research with an intended transgression of the boundaries between research, planning, design, and implementation. We conclude that by synchronously combining those four domains with intense feedback loops, synergies for the academic knowledge on the potential performance of urban agriculture in terms of sustainable development, as well as the benefits for the case-study area and the interests of individual urban gardeners can be achieved.

Comparing Support Vector Machines with Gaussian Kernels to Radial Basis Function Classifiers

The Support Vector (SV) machine is a novel type of learning machine, based on statistical learning theory, which contains polynomial classifiers, neural networks, and radial basis function (RBF) networks as special cases. In the RBF case, the SV algorithm automatically determines centers, weights and threshold such as to minimize an upper bound on the expected test error. The present study is devoted to an experimental comparison of these machines with a classical approach, where the centers are determined by $k$--means clustering and the weights are found using error backpropagation. We consider three machines, namely a classical RBF machine, an SV machine with Gaussian kernel, and a hybrid system with the centers determined by the SV method and the weights trained by error backpropagation. Our results show that on the US postal service database of handwritten digits, the SV machine achieves the highest test accuracy, followed by the hybrid approach. The SV approach is thus not only theoretically well--founded, but also superior in a practical application.

On the V(subscript gamma) Dimension for Regression in Reproducing Kernel Hilbert Spaces

This paper presents a computation of the $V_gamma$ dimension for regression in bounded subspaces of Reproducing Kernel Hilbert Spaces (RKHS) for the Support Vector Machine (SVM) regression $epsilon$-insensitive loss function, and general $L_p$ loss functions. Finiteness of the RV_gamma$ dimension is shown, which also proves uniform convergence in probability for regression machines in RKHS subspaces that use the $L_epsilon$ or general $L_p$ loss functions. This paper presenta a novel proof of this result also for the case that a bias is added to the functions in the RKHS.

Using zappers in Common Learning Spaces (Windows XP)

This resource is now obsolete and has been replaced by http://www.edshare.soton.ac.uk/5920/ This PowerPoint is an animated step-by-step guide that shows tutors how to use zappers in a teaching session. It covers starting the PC, distributing the zappers, plugging in the receiver, starting the software, running the presentation and managing voting, saving data at the end and collecting the handsets. It takes around 5 minutes to view.

Large Scale Structure of Metric Spaces

How the mathematical concept of Coarse Geometries is useful to analysing the Web

Análisis de la influencia de la Cadena Radial “La Luna” en la cultura política de la sociedad ecuatoriana, específicamente en la sociedad quiteña durante el derrocamiento del presidente Lucio Gutiérrez. Periodo del 13 al 20 de abril del 2005

En el presente trabajo se pretendió demostrar la importancia que tiene el ciudadano como agente de veeduría y control de las instancias Estatales, y que a través de los medios se facilita la postulación de las demandas que han sido encubadas y maduradas en espacios de discusión y debate político en instancias locales y regionales. Para esto se escogió el caso de la Rebelión de los Forajidos que tuvo lugar en Quito, Ecuador.

Concordancia interobservador entre ortopedistas de urgencias y cirujanos de codo en fracturas de cúpula radial

El trauma de codo y la fractura de cúpula radial resultan ser un motivo de consulta frecuente en nuestro medio. Es común en nuestro medio que a pesar de tener radiografías de codo en las que se evidencia fractura de cúpula radial se solicite un TAC de codo. Consideramos que el TAC es una herramienta útil en algunos casos de fracturas de la cúpula radial, es decir, no se debe tomar de forma rutinaria el TAC de codo en los pacientes con fracturas de cúpula radial como es usual en nuestro medio. Existen pocos estudios que comparan la concordancia inter observador de las clasificaciones utilizadas para las fracturas de cúpula radial, pero, no existe en la literatura mundial un estudio que evalué las diferencias entre la clasificación de la fractura en base a radiografías y tomografía entre un grupo ortopedistas traumatólogos y sub-especialistas de miembro superior. La realización de este estudio permite elaborar guías de manejo de pacientes con fractura de cúpula radial en la que se racionalizara el uso del TAC de codo.

The cultural magazines as spaces of resistence in the lasta argentinian militar dictatorship. From the “El Expreso Imaginario” to “El Porteño”, 1976 – 1983

Although they were a few, there were places during the military dictatorship, which produced innovative cultural goods, in continuity with experiences of the artistic avant-garde in the sixties. Alongside the political and military repression  they could articulate in their environment groups identified with alternative aesthetic  codes, in opposition to the dominant culture in the period. The first one of the aces  we examine in the article, El Expreso Imaginario is a privileged place where we may regard the origins of the traits of that social space. Towards the end of  the dictatorship, another one like El Porteño, marks a new era, even if we can  establish various continuities with the first one. The circulation places of these ideas and practices were often taking place in cellars and other hiding places. Is  that because they take the literal sense of underground in the eighties to groups  who having been part of that story or not, were willing to receive his inspiring legacy. Between both magazines we   fer identifies the transition from one state of the field to another, identifying the evolution of these zone of the culture field.

¿La tomografía de codo cambia la conducta tomada previamente con radiografía en fracturas de cúpula radial? un estudio de concordancia

Las fracturas de la cúpula radial corresponden a un tercio de todas las fracturas del codo en adultos (1), por lo que se toman radiografías o tomografías, sin embargo no existe literatura que soporte la realización de la tomografía como estudio complementario, por lo que preguntamos ¿La tomografía de codo cambia la conducta tomada previamente con radiografía en fracturas de cúpula radial? Se propone un estudio de concordancia, donde se evalúan las radiografías y tomografías por parte de dos cirujanos de codo, de pacientes con diagnóstico de fractura de cúpula radial valorados en urgencias de dos hospitales de tercer nivel de Bogotá desde enero 2011 a enero 2013. Se revisaron 116 historias, 99 cumplieron los criterios, las radiografías fueron revisadas por dos ortopedistas de codo quienes realizaron clasificación de Mason obteniendo un κ 1 (p˂ 0,00), propuesta de tratamiento postradiografía κ 0,934 (p˂ 0,000 IC95% 0.85, 1). Tratamiento post-tomografía de codo κ 0.949 (p˂ 0,00 IC95% 0.867,1). Concordancia intra-ortopedista de la conducta pre y post-tomografía hay cambio en la conducta del ortopedista 1 en 32.6% (κ 0.674 p˂ 0,00 IC95% 0.52, 0.818) y del ortopedista 2 en 36% (κ 0.64 p˂ 0,00 IC95% 0.452, 0.792). Se dividieron los pacientes en Mason I, II, III con concordancia considerable en los pacientes Mason I y III, mientras que en Mason II fue una concordancia aceptable lo que significa que el uso de tomografía de codo cambia la conducta en general pero sobretodo en pacientes clasificados Masson II.