Im ersten Teil dieser Dissertation untersuchen wir Formfaktoren von allgemeinen eichinvarianten lokalen zusammengesetzten Operatoren in der N=4 Super-Yang-Mills-Theorie bei verschiedenen Schleifenordnungen und Anzahlen externer Felder. Wir zeigen, wie Masseschalen-Methoden zu ihrer Berechnung genutzt werden können, und extrahieren aus ihnen insbesondere den Dilatationsoperator. Wir untersuchen auch die Eigenschaften der zugehörigen Rückstandsfunktionen. Des Weiteren verallgemeinern wir Masseschalen-Diagramme, Graßmann-Integrale und die integrabilitätsinspirierte Technik der R-Operatoren zur Anwendung auf Formfaktoren, wobei wir uns auf das Beispiel des chiralen Teils des Energie-Impuls-Tensors konzentrieren. Im zweiten Teil untersuchen wir die Beta- und die Gamma-i-Deformation. Bei diesen handelt es sich um die allgemeinste supersymmetrische beziehungsweise nicht-supersymmetrische feldtheoretische Deformation von N=4 Super-Yang-Mills-Theorie, welche auf der Ebene des asymptotischen Bethe-Ansatzes integrabel sind. Hierbei tritt ein neuer Effekt der endlichen Systemgröße auf, der durch Doppelspurstrukturen in der deformierten Lagrange-Dichte hervorgerufen wird und den wir Vorwickeln nennen. Während die Beta-Deformation für sich an ihren nicht-verschwindenden IR-Fixpunkten befindliche Doppelspurkopplungen konform invariant ist, weist die Gamma-i-Deformation rennende Doppelspurkopplungen ohne Fixpunkte auf, was die konforme Invarianz selbst im planaren Limes bricht. Nichtsdestotrotz erlaubt die Gamma-i-Deformation hochgradig nicht-triviale Tests der Integrabilität bei beliebig hohen Schleifenordnungen. / In the first part of this thesis, we study form factors of general gauge-invariant local composite operators in N=4 super Yang-Mills theory at various loop orders and for various numbers of external legs. We show how to use on-shell methods for their calculation and in particular extract the dilatation operator from the result. We also investigate the properties of the corresponding remainder functions. Moreover, we extend on-shell diagrams, a Graßmannian integral formulation and an integrability-based construction via R-operators to form factors, focussing on the chiral part of the stress-tensor supermultiplet as an example. In the second part, we study the beta- and the gamma-i-deformation, which were respectively shown to be the most general supersymmetric and non-supersymmetric field-theory deformations of N=4 super Yang-Mills theory that are integrable at the level of the asymptotic Bethe ansatz. For these theories, a new kind of finite-size effect occurs, which we call prewrapping and which emerges from double-trace structures that are required in the deformed Lagrangians. While the beta-deformation is conformal when the double-trace couplings are at their non-trivial IR fixed points, the gamma-i-deformation has running double-trace couplings without fixed points, which break conformal invariance even in the planar theory. Nevertheless, the gamma-i-deformation allows for highly non-trivial field-theoretic tests of integrability at arbitrarily high loop orders.

Thesis (PhD (Electronic Engineering))--University of Stellenbosch, 2010. / Contains bibliography and index. / ENGLISH ABSTRACT: Super-resolution imaging is the process whereby several low-resolution photographs of an object are combined to form a single high-resolution estimation. We investigate each component of this process: image acquisition, registration and reconstruction. A new feature detector, based on the discrete pulse transform, is developed. We show how to implement and store the transform efficiently, and how to match the features using a statistical comparison that improves upon correlation under mild geometric transformation. To simplify reconstruction, the imaging model is linearised, whereafter a polygon-based interpolation operator is introduced to model the underlying camera sensor. Finally, a large, sparse, over-determined system of linear equations is solved, using regularisation. The software developed to perform these computations is made available under an open source license, and may be used to verify the results. / AFRIKAANSE OPSOMMING: In super-resolusie beeldvorming word verskeie lae-resolusie foto's van 'n onderwerp gekombineer in 'n enkele, hoë-resolusie afskatting. Ons ondersoek elke stap van hierdie proses: beeldvorming, -belyning en hoë-resolusie samestelling. 'n Nuwe metode wat staatmaak op die diskrete pulstransform word ontwikkel om belangrike beeldkenmerke te vind. Ons wys hoe om die transform e ektief te bereken en hoe om resultate kompak te stoor. Die kenmerke word vergelyk deur middel van 'n statistiese model wat bestand is teen klein lineêre beeldvervormings. Met die oog op 'n vereenvoudigde samestellingsberekening word die beeldvormingsmodel gelineariseer. In die nuwe model word die kamerasensor gemodelleer met behulp van veelhoek-interpolasie. Uiteindelik word 'n groot, yl, oorbepaalde stelsel lineêre vergelykings opgelos met behulp van regularisering. Die sagteware wat vir hierdie berekeninge ontwikkel is, is beskikbaar onderhewig aan 'n oopbron-lisensie en kan gebruik word om die gegewe resultate te veri eer.

The Sun is of fundamental importance to life on earth and is studied by scientists from many disciplines. It exhibits phenomena on a wide range of observable scales, timescales and wavelengths and due to technological developments there is a continuing increase in the rate at which solar data is becoming available for study which presents both opportunities and challenges. Two satellites recently launched to observe the sun are STEREO (Solar TErrestrial RElations Observatory), providing simultaneous views of the SUN from two different viewpoints and SDO (Solar Dynamics Observatory) which aims to study the solar atmosphere on small scales and times and in many wavelengths. The STEREO and SDO missions are providing huge volumes of data at rates of about 15 GB per day (initially it was 30 GB per day) and 1.5 terabytes per day respectively. Accessing these huge data volumes efficiently at both high spatial and high time resolutions is important to support scientific discovery but requires increasingly efficient tools to browse, locate and process specific data sets. This thesis investigates the development of new technologies for processing information contained in multiple and overlapping images of the same scene to produce images of improved quality. This area in general is titled Super Resolution (SR), and offers a technique for reducing artefacts and increasing the spatial resolution. Another challenge is to generate 3D images such as Anaglyphs from uncalibrated pairs of SR images. An automated method to generate SR images is presented here. The SR technique consists of three stages: image registration, interpolation and filtration. Then a method to produce enhanced, near real-time, 3D solar images from uncalibrated pairs of images is introduced. Image registration is an essential enabling step in SR and Anaglyph processing. An accurate point-to-point mapping between views is estimated, with multiple images registered using only information contained within the images themselves. The performances of the proposed methods are evaluated using benchmark evaluation techniques. A software application called the SOLARSTUDIO has been developed to integrate and run all the methods introduced in this thesis. SOLARSTUDIO offers a number of useful image processing tools associated with activities highly focused on solar images including: Active Region (AR) segmentation, anaglyph creation, solar limb extraction, solar events tracking and video creation.

Cette thèse présente une étude expérimentale de l'impact de gouttes de fluides à seuil. Au-delà des applications (impression à jet d'encre solide, modélisation d'impact solide à grandes vitesses), cette étude permet de sonder le rôle de l'élasticité sur le comportement à temps court de ces fluides complexes. D'abord, nous nous sommes intéressés aux impacts sur une surface rigide. L'utilisation de fluides à seuil modèles (solutions concentrées d'argiles, micro-gel de Carbopol) et de surfaces d'impact variées (partiellement mouillante ou super-hydrophobe), révèle une grande variété de comportements, allant de l'étalement viscoplastique irréversible jusqu'à des déformations élastiques géantes. Un modèle minimal d'étalement inertiel, incluant une rhéologie élasto/viscoplastique, permet de décrire dans un cadre unique les principaux régimes observés. Au cours de cette étude, nous avons mis en évidence un phénomène spécifique avec le Carbopol : pour des grandes vitesses d'impact, on observe un étalement beaucoup plus grand sur des surfaces rugueuses hydrophobes que sur des surfaces lisses. Cette réduction apparente du frottement basal est discutée en termes de longueur de glissement et d'instabilité de " splash ". Enfin, nous avons étudié l'impact d'une goutte de fluide sur un sol constitué du même fluide, en utilisant un fluide à seuil transparent (Carbopol). La combinaison de lois d'échelle, d'expériences en " micro-gravité " et de mesures locales du champ de déformation montre que la dynamique du cratère transitoire est dominée par l'élasticité, même au-delà du seuil d'écoulement. Ces résultats pourraient avoir des implications dans le contexte des impacts de météorites en astrophysique.

Cette thèse s'inscrit dans la continuité des travaux de l'Institut Langevin sur le contrôle spatio-temporel des ondes. Dans ce contexte, nous montrons en premier lieu que les milieux complexes offrent de plus grandes possibilités que l'espace libre. Nous quantifions ces apports en termes de degrés de liberté spatio-temporels qui peuvent être mis à profit grâce à l'utilisation de signaux large bande et de sources d'émission multiples. Nous étudions ensuite des milieux de propagation complexes qui présentent des hétérogénéités résonantes, et faisons le lien entre différents modèles (milieu effectif, polariton, hybridation) pour y décrire la propagation. Lorsque ces milieux sont organisés sur une échelle caractéristique inférieure à la longueur d'onde, nous montrons théoriquement qu'ils supportent des modes propagatifs qui oscillent sur des échelles spatiales inférieures à la longueur d'onde. Nous prouvons qu'il est possible d'exciter et de contrôler ces champs sub-longueur d'onde depuis le champ lointain en exploitant les degrés de liberté spatio-temporels à notre disposition. Des résultats expérimentaux et numériques de focalisation et d'imagerie en-dessous de la limite de la diffraction depuis le champ lointain sont présentés dans trois domaines de la physiques ondulatoire : les ondes micro-ondes, l'acoustique et l'optique. Enfin, nous nous intéressons à une gamme de fréquence, appelée bande interdite, pour laquelle il n'existe pas de solution propagative. En introduisant un défaut localement résonant, nous montrons la possibilité de créer des cavités résonantes ou des guides d'onde dont les dimensions sont bien inférieures à la longueur d'onde.

<p>The meaning of the word leadership is changing over time, and so is the role of the leader. Organisational labour is today required to be more self-governing as organisational tasks are moving towards a more flexible and independent nature. This requires a leadership able to inspire and motivate independent performance by acting as an inspirational mentor or coach (Bass and Riggio (2005). Those leaders and that style of leadership have many names, but in our research they are titled as Transformational and Charismatic leaders, as well as Super Leaders. Perhaps they are best described by using Vardiman et al (2006:97) own words: <em>“the most effective leaders teach others to be effective leaders of themselves and others."</em></p><p>Identifying, selecting and recruiting the right leader are a competitive advantage and an important success factor (Fernández-Aráoz et al, 2009). The objective of this thesis is therefore to gain knowledge in the manners present when charismatic and inspirational leaders with the ability to lead others to lead themselves are identified, recruited and selected. We judge gaining understanding in how to identify, attract, select, recruit and keep leaders with this special leadership style as a vital knowledge in today’s highly competitive business world.</p><p><p><p>This thesis approaches leader recruitment from both an external and internal perspective by conveying dialogues with recruitment consultants as well as with a HR-manager. The thesis further raises the question whether the inspirational and charismatic leadership style is appropriate in all type of organisations and here focus on organisational culture as a key determinant when recruiting leaders.</p></p></p>

A lack of credible evidence demonstrating the effectiveness of play therapy and the use of therapeutic board game in play therapy exists (Phillips, 2010; Matorin, 1996). Parent involvement is a key variable in the effectiveness of play therapy (Kottman, Stother, and Deniger, 2001). Formative research was used in this study to evaluate of The Super Family Board Game™ (SFBG) in order to develop an effective therapeutic board game aimed at enhancing family cooperation and cohesion. As the first formative evaluation of a therapeutic board game, this study provides future research implications for developing and testing therapeutic board games.

<p>Advancements in retinal imaging technologies have drastically improved the quality of eye care in the past couple decades. Scanning laser ophthalmoscopy (SLO) and optical coherence tomography (OCT) are two examples of critical imaging modalities for the diagnosis of retinal pathologies. However current-generation SLO and OCT systems have limitations in diagnostic capability due to the following factors: the use of bulky tabletop systems, monochromatic imaging, and resolution degradation due to ocular aberrations and diffraction. </p><p>Bulky tabletop SLO and OCT systems are incapable of imaging patients that are supine, under anesthesia, or otherwise unable to maintain the required posture and fixation. Monochromatic SLO and OCT imaging prevents the identification of various color-specific diagnostic markers visible with color fundus photography like those of neovascular age-related macular degeneration. Resolution degradation due to ocular aberrations and diffraction has prevented the imaging of photoreceptors close to the fovea without the use of adaptive optics (AO), which require bulky and expensive components that limit the potential for widespread clinical use. </p><p>In this dissertation, techniques for extending the diagnostic capability of SLO and OCT systems are developed. These techniques include design strategies for miniaturizing and combining SLO and OCT to permit multi-modal, lightweight handheld probes to extend high quality retinal imaging to pediatric eye care. In addition, a method for extending true color retinal imaging to SLO to enable high-contrast, depth-resolved, high-fidelity color fundus imaging is demonstrated using a supercontinuum light source. Finally, the development and combination of SLO with a super-resolution confocal microscopy technique known as optical photon reassignment (OPRA) is demonstrated to enable high-resolution imaging of retinal photoreceptors without the use of adaptive optics.</p> / Dissertation

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