On Chaos and Fractals in General Topological Spaces

The present study on chaos and fractals in general topological spaces. Chaos theory originated with the work of Edward Lorenz. The phenomenon which changes order into disorder is known as chaos. Theory of fractals has its origin with the frame work of Benoit Mandelbrot in 1977. Fractals are irregular objects. In this study different properties of topological entropy in chaos spaces are studied, which also include hyper spaces. Topological entropy is a measures to determine the complexity of the space, and compare different chaos spaces. The concept of fractals can’t be extended to general topological space fast it involves Hausdorff dimensions. The relations between hausdorff dimension and packing dimension. Regular sets in Metric spaces using packing measures, regular sets were defined in IR” using Hausdorff measures. In this study some properties of self similar sets and partial self similar sets. We can associate a directed graph to each partial selfsimilar set. Dimension properties of partial self similar sets are studied using this graph. Introduce superself similar sets as a generalization of self similar sets and also prove that chaotic self similar self are dense in hyper space. The study concludes some relationships between different kinds of dimension and fractals. By defining regular sets through packing dimension in the same way as regular sets defined by K. Falconer through Hausdorff dimension, and different properties of regular sets also.

El imaginario en la génesis del proyecto arquitectónico: La construcción de la realidad a través del mito, la utopía y la cibercultura

El término imaginario, nombra el principio y el tema central de una investigación del mundo arquitectónico, necesaria para entender las condiciones alrededor de un proceso proyectual íntimo, cargado de significaciones ideológicas y simbólicas. En diferentes interpretaciones, el inconsciente colectivo y personal, científico o social, aparece en el origen de cada pensamiento y comportamiento humano, constituyendo un universo cerrado y caótico, donde todas las ideas están en constante tensión y contradicción. Por esta razón existen nociones y construcciones lógicas y coherentes que estructuran el marco de la verisimilitud y por tanto el régimen de la realidad, mediante la verdad y la verificación. Para el proyecto arquitectónico estas configuraciones se expresan en la situación del espacio, el tiempo y el cuerpo, como elementos básicos de jerarquización de la habitabilidad y de la cohabitabilidad humana. Esta tesis pretende acotar y definir un ámbito de procesos verosímiles instalados dentro del imaginario mediante el patrimonio intangible del pensamiento mítico o utópico, donde no solamente se crean envolventes del pensamiento, de iconografía o de sociedades, sino de donde también se derivan modelos rígidos y excluyentes, desde teorías basadas en la heteronormatividad y la segregación según el sexo, el género, la clase y la capacidad dentro de la diversidad funcional. La experiencia del espacio arquitectónico ha sido tradicionalmente descrita mediante palabras e imágenes: el lógos y el símbolo han sido los grandes intermediadores entre los sujetos y el habitar. Los ámbitos cotidiano y urbano se han regido por modelos y normas absolutas aplicadas universalmente y el mundo arquitectónico se ha visto estancado en la polaridad dual, entre lo público y lo privado, el dentro y el fuera, el movimiento y el reposo, el hombre y la mujer. Si el espacio-tiempo, el cuerpo y sus interpretaciones son la base para los modelos absolutistas, universalistas y perfeccionistas que han dominado el pensamiento occidental y elaborado la noción de lo “normal” en su totalidad, restando complejidad y diversidad, en la era hipermoderna ya no tiene sentido hablar en términos que no contemplen la superposición y la contradicción de la multiplicidad caótica en igualdad y en equilibrio instable. La realidad se ha visto reinventada a través de situaciones intermedias, los lugares inbetween en los espacios, tiempos, identidades y nociones presupuestas, donde se ha tergiversado el orden establecido, afectando al imaginario. La cotidianidad ha superado la arquitectura y el tiempo ha aniquilado el espacio. La conectividad, las redes y el libre acceso a la información – allá donde los haya – componen el marco que ha permitido a los sujetos subalternos emerger y empezar a consolidarse en el discurso teórico y práctico. Nuevos referentes están apareciendo en el hiper-espacio/tiempo aumentado, infringiendo todas aquellas leyes e interpretaciones impuestas para controlar los hábitos, las conductas y las personas. La casa, la ciudad y la metrópolis al vaciarse de contenidos, han dejado de cumplir funciones morales y simbólicas. Los no-lugares, los no-space, los no-time (Amann, 2011) son las condiciones radicalmente fenoménicas que reemplazan la realidad de lo vivido y activan de forma directa a los sentidos; son lugares que excitan el cuerpo como termótopos (Sloterdijk, 2002), que impulsan el crecimiento de la economía y en gran medida la multinormatividad. Sin duda alguna, aquí y ahora se requiere un nuevo modo de emplear la palabra, la imagen y la tecnología, dentro de una temporalidad efímera y eterna simultáneamente. ABSTRACT The term imaginary marks the beginning and the main topic of this research into the architectural world, presented as the necessary condition to understand the design process in its intimate layers, loaded with ideological and symbolic meanings. Through different interpretations, the unconscious, personal and collective, scientific or social, is found in the origin of every human thought and behaviour, constituting a closed chaotic universe, where all ideas are in constant tension and contradiction. This is why there are logical and coherent notions or discursive constructions which organise the context of verisimilitude and therefore the regime of reality through truth and its verification. For the architectural project, these specific configurations are associated with space, time and body as basic elements of management and hierarchization of human habitability and co-habitability. This thesis aims to demarcate and define a field of verisimilar processes installed in the imaginary, through the intangible heritage of mythical or utopian thinking, where not only enclosures of thought, iconography or utopian ideals are created, but from where rigid and exclusive models are derived as well, from theories based on heteronormativity and segregation by sex, gender, class and functional diversity. The experience of the architectural space has been described traditionally through words and images: the language and the symbol have been intermediating between the user and his habitat. Everyday life and urban interactions have been governed by absolute, universally applied, models or standards, therefore the architectural world has been stalled in a constant dual polarity between the public and the private, the inside and the outside, the movement and the repose, the man and the woman. Certainly, if the space-time notion, along with the theorization of the body, are the basis for absolutist, universalist and perfectionist models that have dominated western thought and developed the concept of “normal” in its totality, deducting all complexity and diversity, in the hypermodern era it makes no longer sense to speak in terms that ignore the overlap and contradiction of the chaotic multiplicity that characterises equality and unstable balance. Reality has been reinvented through intermediate situations, the in-between spaces, time, identities, or other presupposed notions. The order of truth has been distorted, affecting and transforming the contemporary imaginary. Everyday practices have surpassed the architectural design and time has annihilated space. Connectivity, networks, free access to information -wherever it exists-, compose the framework that has allowed subaltern subjectivity to emerge and begin to consolidate into main theoretical and practical discourses. New models are appearing in the augmented hyper-space/ time, transgressing any rule and interpretation imposed to control habits, behaviours and people. The house, the city and the metropolis are empty of content; they no longer fulfil moral and symbolic functions. The non-places, non-space, non-time (Amann, 2011) are radically phenomenal conditions that replace the reality of the lived experience and activate the senses as places that excite the body, thermotopos (Sloterdijk, 2002), which boost economic growth and to a considerable extent the multinormativity. Undoubtedly, what is required here and now is a new way of employing the word, the image and the technology within an ephemeral yet eternal temporality.

Mathematical recreations and problems of past and present times.

Some arithmetical questions.--Some geometrical questions.--Some mechanical questions.--Some miscellaneous questions.--Magic squares.--Unicursal problems.--Three geometrical problems.--Astrology.--Hyper-space.--Time and its measurement.--The constitution of matter.

Enhancing Life in the Hyper-surveillance Mini-world of a Space Station: The Role of Situation Awareness, Communication, and Reality TV in the Life of Astronauts

This is the third article of a series entitled Astronauts as Audiences. In this article, we investigate the roles that situation awareness (SA), communications, and reality TV (including media communications) might have on the lives of astronauts in remote space communities. We examined primary data about astronauts’ living and working environments, applicable theories of SA, communications, and reality TV (including media communications). We then surmised that the collective application of these roles might be a means of enhancing the lives of astronauts in remote space communities.

Morphology of osteocyte cells in normal and hyper-gravity

Osteocyte cells are the most abundant cells in human bone tissue. Due to their unique morphology and location, osteocyte cells are thought to act as regulators in the bone remodelling process, and are believed to play an important role in astronauts’ bone mass loss after long-term space missions. There is increasing evidence showing that an osteocyte’s functions are highly affected by its morphology. However, changes in an osteocyte’s morphology under an altered gravity environment are still not well documented. Several in vitro studies have been recently conducted to investigate the morphological response of osteocyte cells to the microgravity environment, where osteocyte cells were cultured on a two-dimensional flat surface for at least 24 hours before microgravity experiments. Morphology changes of osteocyte cells in microgravity were then studied by comparing the cell area to 1g control cells. However, osteocyte cells found in vivo are with a more 3D morphology, and both cell body and dendritic processes are found sensitive to mechanical loadings. A round shape osteocyte’s cells support a less stiff cytoskeleton and are more sensitive to mechanical stimulations compared with flat cellular morphology. Thus, the relative flat and spread shape of isolated osteocytes in 2D culture may greatly hamper their sensitivity to a mechanical stimulus, and the lack of knowledge on the osteocyte’s morphological characteristics in culture may lead to subjective and noncomprehensive conclusions of how altered gravity impacts on an osteocyte’s morphology. Through this work empirical models were developed to quantitatively predicate the changes of morphology in osteocyte cell lines (MLO-Y4) in culture, and the response of osteocyte cells, which are relatively round in shape, to hyper-gravity stimulation has also been investigated. The morphology changes of MLO-Y4 cells in culture were quantified by measuring cell area and three dimensionless shape features including aspect ratio, circularity and solidity by using widely accepted image analysis software (ImageJTM). MLO-Y4 cells were cultured at low density (5×103 per well) and the changes in morphology were recorded over 10 hours. Based on the data obtained from the imaging analysis, empirical models were developed using the non-linear regression method. The developed empirical models accurately predict the morphology of MLO-Y4 cells for different culture times and can, therefore, be used as a reference model for analysing MLO-Y4 cell morphology changes within various biological/mechanical studies, as necessary. The morphological response of MLO-Y4 cells with a relatively round morphology to hyper-gravity environment has been investigated using a centrifuge. After 2 hours culture, MLO-Y4 cells were exposed to 20g for 30mins. Changes in the morphology of MLO-Y4 cells are quantitatively analysed by measuring the average value of cell area and dimensionless shape factors such as aspect ratio, solidity and circularity. In this study, no significant morphology changes were detected in MLO-Y4 cells under a hyper-gravity environment (20g for 30 mins) compared with 1g control cells.

K-Contagion: Sound, Space and Speed in Psy's 'Gangnam Style'

Park Jae-Sang’s (otherwise known as PSY) bewilderingly successful pop contagion ‘Gangnam Style’ needs no introduction. As of January 2013, it has become the most watched video in YouTube’s history and has garnered over 1.23 billion hits since. ‘Gangnam Style’ has also become a rapid global pop phenomenon with multiple parodic reproductions, imitations and adaptations; Rapper PSY himself has become an international name and styled as the ‘anti-hero’ of the glamour-driven K-pop scene. His fame has transcended the social sphere and permeated the political stratosphere with politicians such as Barrack Obama and David Cameron being among the many whom PSY has exchanged pleasantries with. Apart from breaking ground and creating social and media history in many ways, ‘Gangnam Style’ has even been purported by UN Secretary-General Ban Ki Moon to be a “force for world peace” – cultural barriers are demolished as the world dances. Underlying this sentiment is the video’s almost universal appeal that assumes a supracultural yet equally paradoxical translatability: Korea’s neoteric ‘K-Wave’ phenomenon is at once local yet global, and where the latter is predicated on the former quality. The paper’s concern is thus two-fold. It will consider the dromological aspects of this musical contagion as it exemplifies and performs quite literally Paul Virilio’s thesis that the modern condition is driven by speed yet arrested to a dictatorship of movement. While many theories have been put forward for this astounding pop peculiarity, this paper would also examine the intercultural currents that advocate such a global (pop) cultural response. Through an analysis of sonic qualities – digital techno-beat rhythms, synth-based musicality, cyclical lyrics, horse-galloping movements – and acoustic receptions, it will consider the simultaneous and dichotomous currents of glocalisation and globalisation as it relates to the ways in which sonic ‘hyper-links’ establish new concepts of global-cultural identities even as these seem to be interrogated in the borderless worlds of hyper-mediatised realities and cultural technologies.

A fractional approach for the motion planning of redundant and hyper-redundant manipulators

The trajectory planning of redundant robots through the pseudoinverse control leads to undesirable drift in the joint space. This paper presents a new technique to solve the inverse kinematics problem of redundant manipulators, which uses a fractional differential of order α to control the joint positions. Two performance measures are defined to examine the strength and weakness of the proposed method. The positional error index measures the precision of the manipulator's end-effector at the target position. The repeatability performance index is adopted to evaluate if the joint positions are repetitive when the manipulator execute repetitive trajectories in the operational workspace. Redundant and hyper-redundant planar manipulators reveal that it is possible to choose in a large range of possible values of α in order to get repetitive trajectories in the joint space.

An evolutionary approach for the motion planning of redundant and hyper-redundant manipulators

The trajectory planning of redundant robots is an important area of research and efficient optimization algorithms are needed. The pseudoinverse control is not repeatable, causing drift in joint space which is undesirable for physical control. This paper presents a new technique that combines the closed-loop pseudoinverse method with genetic algorithms, leading to an optimization criterion for repeatable control of redundant manipulators, and avoiding the joint angle drift problem. Computer simulations performed based on redundant and hyper-redundant planar manipulators show that, when the end-effector traces a closed path in the workspace, the robot returns to its initial configuration. The solution is repeatable for a workspace with and without obstacles in the sense that, after executing several cycles, the initial and final states of the manipulator are very close.

Collabowrighting the hyper(play)text: a postdramatic digital poetics

The aim of this research is to exhibit how literary playtexts can evoke multisensory trends prevalent in 21st century theatre. In order to do so, it explores a range of practical forms and theoretical contexts for creating participatory, site-specific and immersive theatre. With reference to literary theory, specifically to semiotics, reader-response theory, postmodernism and deconstruction, it attempts to revise dramatic theory established by Aristotle’s Poetics. Considering Gertrude Stein’s essay, Plays (1935), and relevant trends in theatre and performance, shaped by space, technology and the everchanging role of the audience member, a postdramatic poetics emerges from which to analyze the plays of Mac Wellman and Suzan-Lori Parks. Distinguishing the two textual lives of a play as the performance playtext and the literary playtext, it examines the conventions of the printed literary playtext, with reference to models of practice that radicalize the play form, including works by Mabou Mines, The Living Theatre and Fiona Templeton. The arguments of this practice-led Ph.D. developed out of direct engagement with the practice project, which explores the multisensory potential of written language when combined with hypermedia. The written thesis traces the development process of a new play, Rumi High, which is presented digitally as a ‘hyper(play)text,’ accessible through the Internet at www.RumiHigh.org. Here, ‘playwrighting’ practice is expanded spatially, collaboratively and textually. Plays are built, designed and crafted with many layers of meaning that explore both linguistic and graphic modes of poetic expression. The hyper(play)text of Rumi High establishes playwrighting practice as curatorial, where performance and literary playtexts are in a reciprocal relationship. This thesis argues that digital writing and reading spaces enable new approaches to expressing the many languages of performance, while expanding the collaborative network that produces the work. It questions how participatory forms of immersive and site-specific theatre can be presented as interactive literary playtexts, which enable the reader to have a multisensory experience. Through a reflection on process and an evaluation of the practice project, this thesis problematizes notions of authorship and text.

Representing traumatic space

This presentation will begin by the screening of Traum a Dream (2003, 7 mins, Digital Video, Sound)

A representation of traumatised space, depicting a person who is consumed by a body of pain, consumed by fire. Slowly something is remembered (Festival Catalogue: Transmediale.03. February 2003).

The screening will allow a discussion of some of the material embedded in and ideas used in the film's construction. This includes Atwood's view of the colony as victim, Peter pan and never-never-land, Kroker's concept of the panicked body as it relates to the cinema of Mike Hoolboom's hyper-collage and also the use of the abstract and repetition to depict the process of remembering, re-ordering and forgetting. It is also suggested that Random Access Memory as a method of information storage in Digital Media can provide a model for the architecture of traumatised space and Post Traumatic Stress Disorder.

Physics potential of a long-baseline neutrino oscillation experiment using a J-PARC neutrino beam and Hyper-Kamiokande

Hyper-Kamiokande will be a next generation underground water Cherenkov detector with a total (fiducial) mass of 0.99 (0.56) million metric tons, approximately 20 (25) times larger than that of Super-Kamiokande. One of the main goals of HyperKamiokande is the study of CP asymmetry in the lepton sector using accelerator neutrino and anti-neutrino beams. In this paper, the physics potential of a long baseline neutrino experiment using the Hyper-Kamiokande detector and a neutrino beam from the J-PARC proton synchrotron is presented. The analysis uses the framework and systematic uncertainties derived from the ongoing T2K experiment. With a total exposure of 7.5 MW × 10⁷ s integrated proton beam power (corresponding to 1.56 × 10²² protons on target with a 30 GeV proton beam) to a 2.5-degree off-axis neutrino beam, it is expected that the leptonic CP phase δCP can be determined to better than 19 degrees for all possible values of δCP , and CP violation can be established with a statistical significance of more than 3 σ (5 σ) for 76% (58%) of the δCP parameter space. Using both νe appearance and νµ disappearance data, the expected 1σ uncertainty of sin²θ₂₃ is 0.015(0.006) for sin²θ₂₃ = 0.5(0.45).

A graph-based hyper heuristic for timetabling problems

This paper presents an investigation of a simple generic hyper-heuristic approach upon a set of widely used constructive heuristics (graph coloring heuristics) in timetabling. Within the hyperheuristic framework, a Tabu Search approach is employed to search for permutations of graph heuristics which are used for constructing timetables in exam and course timetabling problems. This underpins a multi-stage hyper-heuristic where the Tabu Search employs permutations upon a different number of graph heuristics in two stages. We study this graph-based hyper-heuristic approach within the context of exploring fundamental issues concerning the search space of the hyper-heuristic (the heuristic space) and the solution space. Such issues have not been addressed in other hyper-heuristic research. These approaches are tested on both exam and course benchmark timetabling problems and are compared with the fine-tuned bespoke state-of-the-art approaches. The results are within the range of the best results reported in the literature. The approach described here represents a significantly more generally applicable approach than the current state of the art in the literature. Future work will extend this hyper-heuristic framework by employing methodologies which are applicable on a wider range of timetabling and scheduling problems.

A graph-based hyper heuristic for timetabling problems

This paper presents an investigation of a simple generic hyper-heuristic approach upon a set of widely used constructive heuristics (graph coloring heuristics) in timetabling. Within the hyperheuristic framework, a Tabu Search approach is employed to search for permutations of graph heuristics which are used for constructing timetables in exam and course timetabling problems. This underpins a multi-stage hyper-heuristic where the Tabu Search employs permutations upon a different number of graph heuristics in two stages. We study this graph-based hyper-heuristic approach within the context of exploring fundamental issues concerning the search space of the hyper-heuristic (the heuristic space) and the solution space. Such issues have not been addressed in other hyper-heuristic research. These approaches are tested on both exam and course benchmark timetabling problems and are compared with the fine-tuned bespoke state-of-the-art approaches. The results are within the range of the best results reported in the literature. The approach described here represents a significantly more generally applicable approach than the current state of the art in the literature. Future work will extend this hyper-heuristic framework by employing methodologies which are applicable on a wider range of timetabling and scheduling problems.

Numerical approximation of a fractional-in-space diffusion equation (II) - with nonhomogeneous boundary conditions

In this paper, a space fractional di®usion equation (SFDE) with non- homogeneous boundary conditions on a bounded domain is considered. A new matrix transfer technique (MTT) for solving the SFDE is proposed. The method is based on a matrix representation of the fractional-in-space operator and the novelty of this approach is that a standard discretisation of the operator leads to a system of linear ODEs with the matrix raised to the same fractional power. Analytic solutions of the SFDE are derived. Finally, some numerical results are given to demonstrate that the MTT is a computationally e±cient and accurate method for solving SFDE.