Fixed Points of Closed and Compact Composite Sequences of Operators and Projectors in a Class of Banach Spaces

Some results on fixed points related to the contractive compositions of bounded operators in a class of complete metric spaces which can be also considered as Banach's spaces are discussed through the paper. The class of composite operators under study can include, in particular, sequences of projection operators under, in general, oblique projective operators. In this paper we are concerned with composite operators which include sequences of pairs of contractive operators involving, in general, oblique projection operators. The results are generalized to sequences of, in general, nonconstant bounded closed operators which can have bounded, closed, and compact limit operators, such that the relevant composite sequences are also compact operators. It is proven that in both cases, Banach contraction principle guarantees the existence of unique fixed points under contractive conditions.

The model architect : a series of original designs for cottages, villas, suburban residences, etc., accompanied by explanations, specifications, estimates, and elaborate details, prepared expressly for the use of projectors and artisans throughout the United States /

Mode of access: Internet.

The model architect. A series of original designs for cottages, villas, suburban residences, etc., accompanied by explanations, specifications, estimates, and elaborate details. Prepared expressly for the use of projectors and artisans throughout the United States.

"A new edition, with new drawings and large additions."

Projectors PH-637/PFP and PH-637A/PFP.

"April 1954."

Constructive updating/downdating of oblique projectors:a generalization of the Gram-Schmidt process

A generalization of the Gram-Schmidt procedure is achieved by providing equations for updating and downdating oblique projectors. The work is motivated by the problem of adaptive signal representation outside the orthogonal basis setting. The proposed techniques are shown to be relevant to the problem of discriminating signals produced by different phenomena when the order of the signal model needs to be adjusted. © 2007 IOP Publishing Ltd.

MULTI-WAVELENGTH SPECKLE REDUCTION FOR LASER PICO-PROJECTORS USING DIFFRACTIVE OPTICS

Personal electronic devices, such as cell phones and tablets, continue to decrease in size while the number of features and add-ons keep increasing. One particular feature of great interest is an integrated projector system. Laser pico-projectors have been considered, but the technology has not been developed enough to warrant integration. With new advancements in diode technology and MEMS devices, laser-based projection is currently being advanced for pico-projectors. A primary problem encountered when using a pico-projector is coherent interference known as speckle. Laser speckle can lead to eye irritation and headaches after prolonged viewing. Diffractive optical elements known as diffusers have been examined as a means to lower speckle contrast. Diffusers are often rotated to achieve temporal averaging of the spatial phase pattern provided by diffuser surface. While diffusers are unable to completely eliminate speckle, they can be utilized to decrease the resultant contrast to provide a more visually acceptable image. This dissertation measures the reduction in speckle contrast achievable through the use of diffractive diffusers. A theoretical Fourier optics model is used to provide the diffuser’s stationary and in-motion performance in terms of the resultant contrast level. Contrast measurements of two diffractive diffusers are calculated theoretically and compared with experimental results. In addition, a novel binary diffuser design based on Hadamard matrices will be presented. Using two static in-line Hadamard diffusers eliminates the need for rotation or vibration of the diffuser for temporal averaging. Two Hadamard diffusers were fabricated and contrast values were subsequently measured, showing good agreement with theory and simulated values. Monochromatic speckle contrast values of 0.40 were achieved using the Hadamard diffusers. Finally, color laser projection devices require the use of red, green, and blue laser sources; therefore, using a monochromatic diffractive diffuser may not optimal for color speckle contrast reduction. A simulation of the Hadamard diffusers is conducted to determine the optimum spacing between the two diffusers for polychromatic speckle reduction. Experimental measured results are presented using the optimal spacing of Hadamard diffusers for RGB color speckle reduction, showing 60% reduction in contrast.

Access all

Access All was performance produced following a three-month mentorship in web-based performance that I was commissioned to conduct for the performance company Igneous. This live, triple-site performance event for three performers in three remote venues was specifically designed for presentation at Access Grid Nodes - conference rooms located around the globe equipped with a high end, open source computer teleconferencing technology that allowed multiple nodes to cross-connect with each other. Whilst each room was setup somewhat differently they all deployed the same basic infrastructre of multiple projectors, cameras, and sound as well as a reconfigurable floorspace. At that time these relatively formal setups imposed a clear series of limitations in terms of software capabilities and basic infrastructure and so there was much interest in understanding how far its capabilities might be pushed.----- Numerous performance experiments were undertaken between three Access Grid nodes in QUT Brisbane, VISLAB Sydney and Manchester Supercomputing Centre, England, culminating in the public performance staged simultaneously between the sites with local audiences at each venue and others online. Access All was devised in collaboration with interdisciplinary performance company Bonemap, Kelli Dipple (Interarts curator, Tate Modern London) and Mike Stubbs British curator and Director of FACT (Liverpool).----- This period of research and development was instigated and shaped by a public lecture I had earlier delivered in Sydney for the ‘Global Access Grid Network, Super Computing Global Conference’ entitled 'Performance Practice across Electronic Networks'. The findings of this work went on to inform numerous future networked and performative works produced from 2002 onwards.

Three-dimensional profiling using a still shot

A method to reliably extract object profiles even with surface discontinuities that leads to 2n pi phase jumps is proposed. The proposed method uses an amplitude-modulated Ronchi grating, which allows one to extract phase and unwrap the same with a single image. Ronchi equivalent image can be derived from modified grating image, which aids in extracting wrapped phase using Fourier transform profilometry. The amplitude of the modified grating aids in phase unwrapping. As we only need a projector that projects an amplitude-modulated grating, the proposed method allows one to extract three-dimensional profile without using full video projectors. This article also deals with noise reduction algorithms for fringe projection techniques. (C) 2014 Society of Photo-Optical Instrumentation Engineers (SPIE)

High speed liquid crystal over silicon display based on the flexoelectro-optic effect.

One of the key technologies to evolve in the displays market in recent years is liquid crystal over silicon (LCOS) microdisplays. Traditional LCOS devices and applications such as rear projection televisions, have been based on intensity modulation electro-optical effects, however, recent developments have shown that multi-level phase modulation from these devices is extremely sought after for applications such as holographic projectors, optical correlators and adaptive optics. Here, we propose alternative device geometry based on the flexoelectric-optic effect in a chiral nematic liquid crystal. This device is capable of delivering a multilevel phase shift at response times less than 100 microsec which has been verified by phase shift interferometry using an LCOS test device. The flexoelectric on silicon device, due to its remarkable characteristics, enables the next generation of holographic devices to be realized.

Southend Adult Community College: Walk like an Egyptian - A new reflection

Southend Adult Community College hosts a regular Middle Eastern and Egyptian dance class for all ages and abilities. For a performing art such as dance, learning and self-review aids such as mirrors are essential for improving technique and attainment. The Egyptian Dance course is very popular with many students enrolled. Therefore, sessions need to take place in a large hall within the college. Through inspired innovation and improvisation, the class now have an extremely useful reflective teaching aid using cameras and projectors.

Resiliência, sustentabilidade e qualidade de vida em sistemas urbanos : efeitos da crise (pós-2008) em Portugal e no sistema urbano do oeste

Tese de doutoramento, Geografia (Planeamento Regional e Urbano), Universidade de Lisboa, Instituto de Geografia e Ordenamento do Território, 2014

Lighting recommendations for the Ryan Electric Scintillator and Fireworks Program for the official dedication Niagara Falls illumination, 1925

Walter D’Arcy Ryan was born in 1870 in Kentville, Nova Scotia. He became the chief of the department of illumination at the General Electric Company of Schenectady, New York. He was a founder in the field of electrical illumination. He built the electric steam scintillator which had numerous nozzles and valves. The operator would release steam through the valves. The nozzles all had names which included: Niagara, fan, snake, plume, column, pinwheel and sunburst. The steam scintillator was combined with projectors, prismatic reflectors, flashers and filters to produce the desired effects. In 1920 a group of businessmen from Niagara Falls, New York formed a group who called themselves the “generators’. They lobbied the American and Canadian governments to improve the illumination of the Falls. They were able to raise $58, 000 for the purchase and installation of 24 arc lights to illuminate the Falls. On February 24th, 1925 the Niagara Falls Illumination Board was formed. Initially, the board had a budget of $28,000 for management, operation and maintenance of the lights. The power was supplied free by the Ontario Power Company. They had 24 lights installed in a row on the Ontario Power Company surge tank which was next to the Refectory in Victoria Park on the Canadian side. The official opening ceremony took place on June 8th, 1925 and included a light parade in Niagara Falls, New York and an international ceremony held in the middle of the Upper Steel Arch Bridge. Walter D’Arcy Ryan was the illuminating engineer and A.D. Dickerson who was his New York field assistant directed the scintillator. with information from American Technological Sublime by David E. Nye and the Niagara Falls info website Location: Brock University Archives Source Information: Subject Headings: Added Entries: 100 Ryan, W. D’A. |q (Walter D’Arcy), |d 1870-1934 610 General Electric Company 650 Lighting, Architectural and decorative 650 Lighting |z New York (State) |z Niagara Falls 700 Dickerson, A.F. 700 Schaffer, J.W. Related material held at other repositories: The Niagara Falls Museum in Niagara Falls, Ontario has a program (pamphlet) dedicating new lighting in 1958 and it has postcards depicting the illumination of the Falls. Some of Ryan’s accomplishments can be seen at The Virtual Museum of the City of San Francisco. Described by: Anne Adams Date: Sept 26,Upper Steel Arch Bridge. Walter D’Arcy Ryan was the illuminating engineer and A.D. Dickerson who was his New York field assistant directed the scintillator. with information from American Technological Sublime by David E. Nye and the Niagara Falls info website

Exploitation de contraintes photométriques et géométriques en vision : application au suivi, au calibrage et à la reconstruction

Cette thése a été réalisée dans le cadre d'une cotutelle avec l'Institut National Polytechnique de Grenoble (France). La recherche a été effectuée au sein des laboratoires de vision 3D (DIRO, UdM) et PERCEPTION-INRIA (Grenoble).

Conception et évaluation d’une intervention didactique à propos des phases de la Lune dans un planétarium numérique

Depuis l’entrée en vigueur du Programme de formation de l’école québécoise en 2001, l’astronomie est à nouveau enseignée dans les classes du Québec. Malheureusement, l’école est mal outillée pour enseigner des concepts astronomiques complexes se déroulant pour la plupart en dehors des heures de classe et sur de longues périodes de temps. Sans compter que bien des phénomènes astronomiques mettent en jeu des astres se déplaçant dans un espace tridimensionnel auquel nous n’avons pas accès depuis notre point de vue géocentrique. Les phases de la Lune, concept prescrit au premier cycle du secondaire, sont de ceux-là. Heureusement, l’école peut compter sur l’appui du planétarium, musée de sciences dédié à la présentation, en accéléré et à toute heure du jour, de simulations ultra réalistes de divers phénomènes astronomiques. Mais quel type de planétarium secondera l’école ? Récemment, les planétariums ont eux aussi subi leur propre révolution : ces institutions sont passées de l’analogique au numérique, remplaçant les projecteurs optomécaniques géocentriques par des projecteurs vidéo qui offrent la possibilité de se déplacer virtuellement dans une simulation de l’Univers tridimensionnel complètement immersive. Bien que la recherche en éducation dans les planétariums se soit peu penchée sur ce nouveau paradigme, certaines de ses conclusions basées sur l’étude des planétariums analogiques peuvent nous aider à concevoir une intervention didactique fructueuse dans ces nouveaux simulateurs numériques. Mais d’autres sources d’inspiration seront invoquées, au premier chef la didactique des sciences, qui conçoit l’apprentissage non plus comme la transmission de connaissances, mais plutôt comme la construction de savoirs par les apprenants eux-mêmes, avec et contre leurs conceptions premières. La conception d’environnements d’apprentissages constructivistes, dont le planétarium numérique est un digne représentant, et l’utilisation des simulations en astronomie, complèteront notre cadre théorique et mèneront à la conception d’une intervention didactique à propos des phases de la Lune dans un planétarium numérique s’adressant à des élèves âgés de 12 à 14 ans. Cette intervention didactique a été mise à l’essai une première fois dans le cadre d’une recherche de développement (ingénierie didactique) visant à l’améliorer, à la fois sur son versant théorique et sur son versant pratique, par le biais de multiples itérations dans le milieu « naturel » où elle se déploie, ici un planétarium numérique gonflable de six mètres de diamètre. Nous présentons les résultats de notre première itération, réalisée en compagnie de six jeunes de 12 à 14 ans (quatre garçons et deux filles) dont nous avons recueilli les conceptions à propos des phases de la Lune avant, pendant et après l’intervention par le biais d’entrevues de groupe, questionnaires, mises en situation et enregistrement des interventions tout au long de l’activité. L'évaluation a été essentiellement qualitative, basée sur les traces obtenues tout au long de la séance, en particulier sous la voûte du planétarium. Ce matériel a ensuite été analysé pour valider les concepts théoriques qui ont mené à la conception de l'intervention didactique, d'une part, mais aussi pour faire émerger des améliorations possibles visant à bonifier l'intervention. Nous avons ainsi constaté que l'intervention provoque effectivement l'évolution des conceptions de la majorité des participants à propos des phases de la Lune, mais nous avons également identifié des façons de rendre l’intervention encore plus efficace à l’avenir.