Mathematical modelling and optimal multivariable control of chemical processes

This work reports the developnent of a mathenatical model and distributed, multi variable computer-control for a pilot plant double-effect climbing-film evaporator. A distributed-parameter model of the plant has been developed and the time-domain model transformed into the Laplace domain. The model has been further transformed into an integral domain conforming to an algebraic ring of polynomials, to eliminate the transcendental terms which arise in the Laplace domain due to the distributed nature of the plant model. This has made possible the application of linear control theories to a set of linear-partial differential equations. The models obtained have well tracked the experimental results of the plant. A distributed-computer network has been interfaced with the plant to implement digital controllers in a hierarchical structure. A modern rnultivariable Wiener-Hopf controller has been applled to the plant model. The application has revealed a limitation condition that the plant matrix should be positive-definite along the infinite frequency axis. A new multi variable control theory has emerged fram this study, which avoids the above limitation. The controller has the structure of the modern Wiener-Hopf controller, but with a unique feature enabling a designer to specify the closed-loop poles in advance and to shape the sensitivity matrix as required. In this way, the method treats directly the interaction problems found in the chemical processes with good tracking and regulation performances. Though the ability of the analytical design methods to determine once and for all whether a given set of specifications can be met is one of its chief advantages over the conventional trial-and-error design procedures. However, one disadvantage that offsets to some degree the enormous advantages is the relatively complicated algebra that must be employed in working out all but the simplest problem. Mathematical algorithms and computer software have been developed to treat some of the mathematical operations defined over the integral domain, such as matrix fraction description, spectral factorization, the Bezout identity, and the general manipulation of polynomial matrices. Hence, the design problems of Wiener-Hopf type of controllers and other similar algebraic design methods can be easily solved.

A systems and cybernetic perspective on complex problem solving

This thesis is concerned with Organisational Problem Solving. The work reflects the complexities of organisational problem situations and the eclectic approach that has been necessary to gain an understanding of the processes involved. The thesis is structured into three main parts. Part I describes the author's understanding of problems and suitable approaches. Chapter 2 identifies the Transcendental Realist (TR) view of science (Harre 1970, Bhaskar 1975) as the best general framework for identifying suitable approaches to complex organisational problems. Chapter 3 discusses the relationship between Checkland's methodology (1972) and TR. The need to generate iconic (explanatory) models of the problem situation is identified and the ability of viable system modelling to supplement the modelling stage of the methodology is explored in Chapter 4. Chapter 5 builds further on the methodology to produce an original iconic model of the methodological process. The model characterises the mechanisms of organisational problem situations as well as desirable procedural steps. The Weltanschauungen (W's) or "world views" of key actors is recognised as central to the mechanisms involved. Part II describes the experience which prompted the theoretical investigation. Chapter 6 describes the first year of the project. The success of this stage is attributed to the predominance of a single W. Chapter 7 describes the changes in the organisation which made the remaining phase of the project difficult. These difficulties are attributed to a failure to recognise the importance of differing W's. Part III revisits the theoretical and organisational issues. Chapter 8 identifies a range of techniques embodying W's which are compatible with .the framework of Part I and which might usefully supplement it. Chapter 9 characterises possible W's in the sponsoring organisation. Throughout the work, an attempt 1s made to reflect the process as well as the product of the author's leaving.

Multiplierless DCT Algorithm for Image Compression Applications

This paper presents a novel error-free (infinite-precision) architecture for the fast implementation of 8x8 2-D Discrete Cosine Transform. The architecture uses a new algebraic integer encoding of a 1-D radix-8 DCT that allows the separable computation of a 2-D 8x8 DCT without any intermediate number representation conversions. This is a considerable improvement on previously introduced algebraic integer encoding techniques to compute both DCT and IDCT which eliminates the requirements to approximate the transformation matrix ele- ments by obtaining their exact representations and hence mapping the transcendental functions without any errors. Apart from the multiplication-free nature, this new mapping scheme fits to this algorithm, eliminating any computational or quantization errors and resulting short-word-length and high-speed-design.

On a Direct Approach to the Solution of Inverse Optical Problems

The evaluation from experimental data, of physical quantities, which enter into the electromagnetic Maxwell equations, is described as inverse optical problem. The functional relations between the dependent and independent variables are of transcendental character and numeric procedures for evaluation of the unknowns are largely used. Herein, we discuss a direct approach to the solution, illustrated by a specific example of determination of thin films optical constants from spectrophotometric data. New algorithm is proposed for the parameters evaluation, which does not need an initial guess of the unknowns and does not use iterative procedures. Thus we overcome the intrinsic deficiency of minimization techniques, such as gradient search methods, Simplex methods, etc. The price of it is a need of more computing power, but our algorithm is easily implemented in structures such as grid clusters. We show the advantages of this approach and its potential for generalization to other inverse optical problems.

Sobolev Type Decomposition of Paley-Wiener-Schwartz Space with Application to Sampling Theory

2000 Mathematics Subject Classification: 94A12, 94A20, 30D20, 41A05.

Inmanencia mistica en la obra de Federico Garcia Lorca

The purpose of this dissertation was to analyze the works of Federico García Lorca within the mystic context that dominates their very genesis. The problematic definition of mysticism was explored lest it be confused with traditional mysticism, which implies union with the divine. The historiography of literature speaks of the Mystic Genre, yet it does not address the mystic mode of artistic creation due to its inability to adhere to rational measure. This mode of conception was explored through Lorca's poetic discourse: ‘Lorquian mysticism’ is the result of the poet's cultivation of an innate spiritual potential enhanced by external influences and technical mastery. ^ There is visible influence of Fray Luis of León in Lorca's early Libro de poemas and El maleficio de la mariposa, as well as of Saint John of the Cross in the later Diván del Tamarit, Sonetos de amor and Yerma. However, definitive echoes of poets from the Sufi and other Eastern mystic traditions were also illustrated in these late works. A persistent longing to elide the physical condition, the greatest obstacle of the transcendental quest, is the essence of Lorca's poetic voice. ^ The object of this analysis was Lorca's language, which reaches levels removed from conventional thought. His dazzling metaphors and his particular use of symbols and of paradox compare equitably with those of great mystic poets. Like them, Lorca was faced with the same limitations of language to describe an ineffable experience; he embraced what Octavio Paz describes as ‘sacred language’: there is a linguistic frugality as well as an ambiguity in Lorca's poetic art that result from his realization of supercognitive states. Yet such an interpretation is rejected by the rationalist approach, invoking the age-old debate between faith and reason and signaling the application of psychoanalytical theory. This limited approach was disputed on the basis of reader-response theory. Lorca was truly an eclectic and a modification of the conventional reader's preestablished horizon of expectations is essential in order to seal the gaps in his late works. This innovative perspective placed Lorca within the framework of a new mysticism in the modern world. ^

Identidade pessoal em Hume e em Kant

The issue of this dissertation is the problem of personal identity. More specifically, the objective of this work is to investigate and compare how Hume and Kant construct, within their own philosophical systems, their theories of personal identity (of the self), so that these theories can set the grounds for the construction of theoretical knowledge. Hume’s theory of personal identity is closely connected to his empirical model of investigation, according to which no metaphysical conclusion can be accepted. This implies a very specific limitation to the humean description of personal identity. Because he can’t find a safe empirical reference for the self, Hume is obliged to describe it as a mere fiction, which the imagination creates to try to give unity to the set of perceptions that composes the mind. Kant, on the other hand, constructs his theory of the self with the aim of explaining the possibility of the a priori knowledge in Mathematics and in Physics. Kant tries to find which attributes must necessarily belong to the self so that this self can be, at the same time, the a priori transcendental condition of a subjectivity in general and the equally a priori transcendental condition for the construction of objective knowledge. Moreover, Kant shows the impossibility of objectively knowing, as intuition, the self, and limits himself to the description of the self as a mere subjective consciousness of the synthetic capacities of the understanding. Several disparities, thus, can be perceived between the theories of personal identity of these two authors. Based on these differences, the present work also examines the possibility of making an interpretation of the humean theory of the self by using elements of the kantian philosophy. The purpose of this kind of interpretation is to propose a solution to the difficulties faced by Hume in the description of his theory of personal identity.

La déconstruction de l'onto-théologie par Jacques Derrida : détour littéraire et mise en relief de la matrice langagière comme "différance".

Le mouvement derridien de la différance marque la rupture avec l'affirmation de la métaphysique de la présence, avec l'autorité du signifié transcendantal. Dans cet univers mouvant de signifiants qui se renvoient perpétuellement les uns aux autres, la logique d'univocité se disloque. La "présence" n'est que fantomatique, s'esquissant au sein d'une chaîne ininterrompue de signifiants et se laissant toujours creuser par la marque d'un irréductible manque. Face au logocentrisme, corollaire de l'affirmation de la présence, l'écriture se veut siège et articulation de la trace, d'une origine qui ne peut être que raturée, véhicule d'une irrémédiable fêlure. La volet littéraire de la déconstruction a pour but de mettre en évidence le fonctionnement de l'"indécidabilité" du discours, soit une certaine ambivalence dans la signification qui caractérise tout texte. L'objectif principal de la présente recherche est de fournir une compréhension plus approfondie de la déconstruction en insistant sur l'ancrage langagier de tout texte. Le discours philosophique n'échappe ainsi pas au mécanisme différentiel du langage et de la dérive métaphorique. La parenté entre la perspective déconstructiviste derridienne et la conception mallarméenne du langage poétique semble frappante. La mise en oeuvre, par Mallarmé, d'une dislocation de l'espace textuel, son minutieux "creusement" du vers après renoncement à toute quête d'"Idéal", la mise en relief du leurre de l'appropriation langagière, voilà qui trouve un écho particulier dans les thèses derridiennes. La "mimésis" platonicienne se voit au travers du prisme de la "mimique" mallarméenne. La déconstruction poursuit son travail de "luxation" de l'oreille philosophique, insérant les philosophèmes dans la matrice langagière, les livrant ainsi au hasard du cheminement textuel et les confrontant à l'aporie. La philosophie n'a alors d'autre choix que d'abandonner ses prétentions transcendantales. La marche de la "différance" instaure une inexorable distance qui prive le sujet de tout rapport direct avec une origine assurée et lui ôte toute possibilité de maîtrise sur le monde. Au travers de la langue, se profile la question de l'altérité, de la relation dissymétrique qui nous lie à cet "autre", ce "tout-autre" qui nous fonde et nous constitue. L'accueil inconditionnel de cette altérité nous mènera à l'étude de la "religion", la déconstruction se tournant vers le "religieux" tout en effectuant un "retournement" habile de tout credo essentialiste.

WAKING (TO) THINKING BEING: A STUDY OF EDUCATION, METAPHYSICS, MIND, AND LANGUAGE

This dissertation articulates the basic aims and achievements of education. It recognizes language as central to thinking, and philosophy and education as belonging profoundly to one another. The first step is to show that although philosophy can no longer claim to dictate the foundations of knowledge or of disciplines of inquiry, it still offers an exceptionally general level of self-understanding. Education is equally general and faces a similar crisis of self-identity, of coming to terms with reality. Language is the medium of thought and the repository of historical mind; so a child’s acquisition of language is her acquisition of rational freedom. This marks a metaphysical change: no longer merely an animal, she comes to exercise her powers of rationality, transcending her environment by seeking and expressing reasons for thinking and doing. She can think about herself in relation to the universe, hence philosophize and educate others in turn. The discussion then turns to the historical nature of language. The thinking already embedded in language always anticipates further questioning. Etymology serves as a model for philosophical understanding, and demonstrates how philosophy can continue to yield insights that are fundamental, but not foundational, to human life. The etymologies of some basic educational concepts disclose education as a leading out and into the midst of Being. The philosophical approach developed in previous chapters applies to the very idea of an educational aim. Discussion concerning the substantiality of educational ideals results in an impasse: one side recommends an open-­ended understanding of education’s aims; the other insists on a definitive account. However, educational ideals exhibit a conceptual duality: the fundamental achievements of education, such as rational freedom, are real; but how we should understand them remains an open question. The penultimate chapter investigates philosophical thinking as the fulfillment of rational freedom, whose creative insights can profoundly transform our everyday activities. That this transformative self-understanding is without end suggests the basic aims of education are unheimlich. The dissertation concludes with speculative reflection on the shape and nature of language, and with the suggestion that through education reality awakens to itself.

The Affordable Care Act and the Transformation of US Health Care

The neoliberal period was accompanied by a momentous transformation within the US health care system.  As the result of a number of political and historical dynamics, the healthcare law signed by President Barack Obama in 2010 ‑the Affordable Care Act (ACA)‑ drew less on universal models from abroad than it did on earlier conservative healthcare reform proposals. This was in part the result of the influence of powerful corporate healthcare interests. While the ACA expands healthcare coverage, it does so incompletely and unevenly, with persistent uninsurance and disparities in access based on insurance status. Additionally, the law accommodates an overall shift towards a consumerist model of care characterized by high cost sharing at time of use. Finally, the law encourages the further consolidation of the healthcare sector, for instance into units named “Accountable Care Organizations” that closely resemble the health maintenance organizations favored by managed care advocates. The overall effect has been to maintain a fragmented system that is neither equitable nor efficient. A single payer universal system would, in contrast, help transform healthcare into a social right.

La teoría de los diferenciales de Salomon Maimon, la pregunta quid juris y la posibilidad de la metafísica como ciencia

Este trabajo estudia la teoría de los diferenciales de Salomon Maimon como respuesta a la cuestión quid juris y a la vez como clave para la fundamentación de la posibilidad de la metafísica como ciencia. Se reconstruye primero la crítica de Maimon al tratamiento kantiano de la pregunta quid juris. Luego, se analiza la respuesta del propio Maimon a esa pregunta, para establecer finalmente cómo tal respuesta abre el camino para la explicación de la posibilidad de la metafísica como ciencia.

Music therapy, in tuning at the end of life

In this article music therapy is presented as a helpful tool to support the persons (and their relatives) living at the end of their life and, also, as a non pharmacological and complementary therapy in an integral and holistic medicine. What we report here comes from the direct experience, nourished after many years of interventions and reflections in oncology and palliative care units. We’re talking about silence, music, therapy, models and techniques. We will read and feel therapeutic sessions… but above all, we’re talking about life, conscience and love.

La música en el desarrollo de la espiritualidad y la religiosidad. Una aproximación al Cristianismo y al Budismo

La música puede afectar al individuo en todos sus niveles –físico, mental y espiritual–. El presente artículo se centra en el papel que ésta desempeña en el desarrollo de la vida espiritual y trascendental. Para ello, realizaremos un repaso histórico de su evolución estética y social, abordaremos dicho fenómeno a nivel fisiológico y presentaremos sus aplicaciones clínicas y sociales. Seguidamente y a modo de ejemplo de las concepciones de pensamiento occidental y oriental, trataremos la forma en que el cristianismo y el budismo conciben la música dentro de su doctrina. Finalizaremos con algunas reflexiones sobre el tema.

De la metafísica a la anarquía. El pensamiento político de Reiner Schürmann

El artículo pretende abordar el modo en el que la obra de Reiner Schürmann, a través de un original interpretación del pensamiento de Martin Heidegger, consigue desarrollar un tipo de filosofía política anárquica. Se intentará analizar, en la dispersa obra del filósofo holandés, la idea de anarquía como condición existencial, prestando especial atención al nexo entre el concepto de muerte de la metafísica y la posibilidad de una praxis política anárquica. El artículo se compone de tres partes: en la primera se examinará la noción de Ser y de “a priori práctico” en el trabajo de Schürmann. En la segunda se verá la diferencia entre el nihilismo del autor y el de Vattimo, y en la tercera, se profundizará en las consecuencias más propiamente políticas del pensamiento de Schürmann.

La tercera persona: una propuesta antropológico-filosófica delimitada frente al planteamiento sociológico

Frente al paradigma diádico preponderante en la teoría social, recientes propuestas reivindican la función del tercero. En estas teorías, el tercero personaliza el orden social normativo –surgido en la relación diádica– y atribuye empíricamente el reconocimiento como persona. Frente a este planteamiento empírico, proponemos un enfoque trascendental antropológico-filosófico, según el cual la estructura tri-posicional de las relaciones sociales constituye la condición de posibilidad de la cultura normativa y del modo de ser propio del hombre en cuanto que persona.