Dans cette thèse nous étudions une classe d’équations de Hamilton-Jacobi-Bellman provenant de la théorie du contrôle optimal des équations différentielles ordinaires. Nous nous intéressons principalement à l’analyse de la sensibilité de la fonction valeur des problèmes de contrôle optimal associés à de telles équations de H-J-B. Dans la littérature, les relations de sensibilité fournissent une “mesure” de la robustesse des stratégies optimales par rapport aux variations de la variable d’état. Ces résultats sont des outils très importants pour le contrôle appliqué, parce qu’ils permettent d’étudier les effets que des approximations des données du système peuvent avoir sur les politiques optimales. Cette thèse est dédiée également à l’étude des problèmes de Mayer et de temps minimal. Nous supposons que la dynamique du problème soit une inclusion différentielle, afin de permettre aux données d’être non régulières et d’embrasser un ensemble plus grand d’applications. Néanmoins, cette tâche rend notre analyse plus difficile. La première contribution de cette étude est une extension de quelques résultats classiques de la théorie de la sensibilité au domaine des problèmes non paramétrées. Ces relations prennent la forme d’inclusions d’état adjoint, figurant dans le principe du maximum de Pontryagin, dans certains gradients généralisés de la fonction valeur évalués le long des trajectoires optimales. En deuxième lieu, nous développons des nouvelles relations de sensibilité impliquant des approximations du deuxième ordre de la fonction valeur. Cette analyse mène à de nouvelles applications concernant la propagation, tant ponctuel que local, de la régularité de la fonction valeur le long des trajectoires optimales. Nous proposons également des applications aux conditions d’optimalité. / This dissertation investigates a class of Hamilton-Jacobi-Bellman equations arising in optimal control of O.D.E.. We mainly focus on the sensitivity analysis of the optimal value function associated with the underlying control problems. In the literature, sensitivity relations provide a measure of the robustness of optimal control strategies with respect to variations of the state variable. This is a central tool in applied control, since it allows to study the effects that approximations of the inputs of the system may produce on the optimal policies. In this thesis, we deal whit problems in the Mayer or in the minimum time form. We assume that the dynamic is described by a differential inclusion, in order to allow data to be nonsmooth and to embrace a large area of concrete applications. Nevertheless, this task makes our analysis more challenging. Our main contribution is twofold. We first extend some classical results on sensitivity analysis to the field of nonparameterized problems. These relations take the form of inclusions of the co-state, featuring in the Pontryagin maximum principle, into suitable gradients of the value function evaluated along optimal trajectories. Furthermore, we develop new second-order sensitivity relations involving suitable second order approximations of the optimal value function. Besides being of intrinsic interest, this analysis leads to new consequences regarding the propagation of both pointwise and local regularity of the optimal value functions along optimal trajectories. As applications, we also provide refined necessary optimality conditions for some class of differential inclusions.

Mémoire numérisé par la Division de la gestion de documents et des archives de l'Université de Montréal.

Mémoire numérisé par la Division de la gestion de documents et des archives de l'Université de Montréal

Den här kvalitativa studien syftar till att undersöka hur bildstöd är utformat i tre skönlitterärt uppbyggda läroböcker på ingångsnivå riktade mot årskurs 1 i svenska för att stödja elevers läsinlärning. Studien tar avstamp i Richard E. Mayers (2014) teori om multimodal inlärning: Cognitive Theory of Multimedia Learning. Teorin bygger på idén att människor lär bättre och djupare från text och bild än från enbart text. Läroböckerna analyseras utifrån Lundh och Limbergs (2012) kategorier när det gäller bildstöd: dekorativ, illustrativ, narrativ och förklarande. I läroböckerna analyseras även förhållandet mellan text och bild samt vilka tidigare kunskaper eleverna behöver för att förstå bildstödet. Resultatet visar att alla de tre läroböckerna använder sig av bildstöd i berättelsen. Det bildstöd som används mest i läroböckerna är narrativt, samtidigt som dekorativt bildstöd saknas helt. Förhållandet mellan bild och text ser genomgående olika ut i läroböckerna men visar sig ha stor betydelse speciellt för elevernas läsförståelse. Precis som med allt annat i vardagen behöver eleverna ha tidigare kunskaper för att kunna “läsa” och förstå bilderna i läroböckerna. Av studiens resultat kan slutsatsen dras att läroböckerna använder sig av bilder avsiktligen för att stödja läsningen, att bilderna ger bäst stöd om de berättar samma sak som texten gör samt att eleverna måste kunna ”läsa” och förstå bilderna för att få full läsförståelse.

El propósito de esta investigación es estudiar las estrategias multimediales en seis diferentes vídeos educativos de YouTube que se dirigen a aprendices de español como lengua extranjera. Con este fin, la investigación se basa en la teoría cognitiva del aprendizaje multimedial (TCAM) y diez principios postulados por Mayer (2008) que sirven para mejorar el diseño de mensajes instruccionales multimediales como vídeos educativos. A partir de las preguntas de investigación el propósito es averiguar si los vídeos estudiados siguen los principios en concordancia con la TCAM y si se utilizan diferentes estrategias para cumplir con cada principio. La metodología es cualitativa y consiste en un análisis interpretativo de los vídeos y situaciones concretas de los mismos. Las observaciones muestran que los vídeos no siguen todos los principios y por lo demás se constata que ninguno de los vídeos cumple con los principios de redundancia y modalidad puesto que todos contienen texto añadido. Asimismo, se observa que es posible llevar a la práctica varias estrategias para implementar cada principio. En cuanto a estudios futuros se sugiere que se realizan investigaciones sobre cómo aquellas estrategias afectan a los aprendices en un contexto formal, es decir, en el aula. / The purpose of this essay is to study the multimedia strategies in six different educational videos on YouTube that are made for learners of Spanish as a foreign language. To this end, the study focuses on the cognitive theory of multimedia learning (CTML) and ten principles postulated by Mayer (2008) that serve to improve the design of multimedia instructional messages, for example in educational videos. Based on the research questions, the purpose is to find out if the videos follow the principles in accordance with the CTML and if different strategies can be used to comply with each principle. The methodology is qualitative and consists of interpretative analysis of the videos and specific situations. The observations show that the videos do not follow all the principles and that none of the videos comply with the principles of redundancy and modality, since they all contain added text. Likewise, the study verifies that it is possible to put into practice several strategies to implement each principle. Regarding future studies, it is suggested that research on how those strategies affect learners in a formal context, that is, in the classroom, are carried out.

Title: The effect of sensomotoric stimulation on flat foot of children Introduction: Flat foot is a common health problem in childhood. Its development is related to congenital or acquired dysfunction of the plantar vault. There is no single opinion on the criteria for diagnosis and therapy forms. The aftereffects and health risks of flat foot are often neglected. The therapy form of sensomotoric stimulation, including balance exercises and walking barefoot over different surfaces, could be an appropriate part of the physical activities and games for children in kindergarten. Objectives: The main objective of this thesis was to compare foot prints of a group of children from one kindergarten class before and after six months of sensomotoric stimulation by three different methods (the Chippaux-Šmiřák method, the Godunov-Sztriter method and the Mayer method.). The second objective was to determine at what age category will be the highest prevalence of flat feet and also at what age group is the biggest improvement of the foot arch. The third objective was to compare each other method and determine whether the results will match. Hypothesis 1: After six months of sensomotoric stimulation of the feet of children occurs in the majority of feet of probands the improvement of the longitudinal foot arch...

Title: The effect of sensomotoric stimulation on flat foot of children Introduction: Flat foot is a common health problem in childhood. Its development is related to congenital or acquired dysfunction of the plantar vault. There is no single opinion on the criteria for diagnosis and therapy forms. The aftereffects and health risks of flat foot are often neglected. The therapy form of sensomotoric stimulation, including balance exercises and walking barefoot over different surfaces, could be an appropriate part of the physical activities and games for children in kindergarten. Objectives: The main objective of this work is to evaluate the effect of sensomotoric stimulation of flat foot at preschool age. Methods: The research contains 21 children. Forty-two foot prints were taken at the beginning of the therapy. Three methods were used to evaluate the foot prints: the Chippaux-Šmiřák method, the Godunov-Sztriter method and the Mayer method. The therapy form of sensomotoric stimulation included balance exercises and walking barefoot over different surfaces. The duration of therapy was 15 minutes each school day for six months. The control foot prints of 15 children were taken after the therapy and the results were compared with the foot prints before therapy. Results: The research contains twenty-one...

Cette thèse d'algèbre commutative porte principalement sur la théorie de la profondeur. Nous nous efforçons d'en fournir une approche épurée d'hypothèse noethérienne dans l'espoir d'échapper aux idéaux premiers et ceci afin de manier des objets élémentaires et explicites. Parmi ces objets, figurent les complexes algébriques de Koszul et de Cech dont nous étudions les propriétés cohomologiques grâce à des résultats simples portant sur la cohomologie du totalisé d'un bicomplexe. Dans le cadre de la cohomologie de Cech, nous avons établi la longue suite exacte de Mayer-Vietoris avec un traitement reposant uniquement sur le maniement des éléments. Une autre notion importante est celle de dimension de Krull. Sa caractérisation en termes de monoïdes bords permet de montrer de manière expéditive le théorème d'annulation de Grothendieck en cohomologie de Cech. Nous fournissons également un algorithme permettant de compléter un polynôme homogène en un h.s.o.p.. La profondeur est intimement liée à la théorie des résolutions libres/projectives finies, en témoigne le théorème de Ferrand-Vasconcelos dont nous rapportons une généralisation due à Jouanolou. Par ailleurs, nous revenons sur des résultats faisant intervenir la profondeur des idéaux caractéristiques d'une résolution libre finie. Nous revisitons, dans un cas particulier, une construction due à Tate permettant d'expliciter une résolution projective totalement effective de l'idéal d'un point lisse d'une hypersurface. Enfin, nous abordons la théorie de la régularité en dimension 1 via l'étude des idéaux inversibles et fournissons un algorithme implémenté en Magma calculant l'anneau des entiers d'un corps de nombres. / This Commutative Algebra thesis focuses mainly on the depth theory. We try to provide an approach without noetherian hypothesis in order to escape prime ideals and to handle only basic and explicit concepts. We study the algebraic complexes of Koszul and Cech and their cohomological properties by using simple results on the cohomology of the totalization of a bicomplex. In the Cech cohomology context we established the long exact sequence of Mayer-Vietoris only with a treatment based on the elements. Another important concept is that of Krull dimension. Its characterization in terms of monoids allows us to show expeditiously the vanishing Grothendieck theorem in Cech cohomology.We also provide an algorithm to complete a omogeneous polynomial in a h.s.o.p.. The depth is closely related to the theory of finite free/projective resolutions. We report a generalization of the Ferrand-Vasconcelos theorem due to Jouanolou. In addition, we review some results involving the depth of the ideals of expected ranks in a finite free resolution.We revisit, in a particular case, a construction due to Tate. This allows us to give an effective projective resolution of the ideal of a point of a smooth hypersurface. Finally, we discuss the regularity theory in dimension 1 by studying invertible ideals and provide an algorithm implemented in Magma computing the ring of integers of a number field.

Text in Afrikaans / This thesis entitled The contribution of Erich Mayer towards the establishment of an aesthetic consciousness and the promotion of an art identity in South Africa to the end of the 1930s, is a study of the ideas, ideals and contributions of the German-Jewish artist Erich Mayer concerning the establishment of a national art identity in South Africa. Mayer was born in Germany in 1876. Because of ill health he came to South Africa, where he settled in 1898 and developed an affinity with the Afrikaner pioneers in the rural areas. This natural connection with the Afrikaner pioneers was the main motivation behind his participation in the Anglo-Boer War. With his sound European background and training at various art academies in Berlin and Stuttgart, he soon realised that a knowledge of European art history or any awareness of an aesthetic consciousness concerning the fine and applied arts was sadly lacking within the general South African community and more specifically amongst the early Afrikaners. As a student, Mayer developed a keen interest in traditional German arts and crafts, which, according to him, contributed to the specific national Germanic character. This interest prompted him to conduct research and document examples of folk art among the Afrikaners as well as other indigenous communities, in an attempt to establish an aesthetic awareness in South Africans, and more specifically among Afrikaners. Mayer was of the opinion that the development and marketing of these cultural objects and artefacts would contribute towards a unique art identity with a strong South African national character. Apart from his interests in the fine and applied arts, Mayer also researched the vernacular architecture, furniture design and household articles of both Afrikaner pioneers and Africans. He travelled widely in South Africa, researching his interests and presented lectures on these themes which he published in newspapers and magazines in an effort to create an awareness of the rich indigenous folk art. / Hierdie proefskrif is 'n studie oor die bydrae van die Duits-Joodse kunstenaar Erich Mayer tot die vestiging van 'n estetiese bewussyn en die bevordering van 'n kunsidentiteit in Suid-Afrika tot aan die einde van die 1930's. Mayer is in 1876 in Duitsland gebore. Weens gesondheidsredes het hy hom in 1898 in Suid-Afrika gevestig waar hy veral met die Boerepioniers op die platteland geidentifiseer het em hom gou tuis gevoel het in die landelike milieu. Hierdie natuurlike toegeneentheid tot die vroee Afrikaners het aanleiding gegee tot sy later deelname aan die Anglo-Boereoorlog. Met sy grondige Europese agtergrond en opleiding aan verskillende kunsakademies in Berlyn en Stuttgart, het Mayer gou besef dat die Suid-Afrikaanse gemeenskap in die algemeen, maar veral die vroee Afrikaners in die besonder, 'n algehele gebrek geopenbaar het aan enige Euopese kunshistoriese kennis of enige estetiese bewussyn oor die beeldende en toegepaste kunste. Mayer is vroeg reeds blootgestel aan en het besonder belanggestel in die kunshandwerk van die Duitsers wat deel uitgemaak het van eeue-oue Duitse tradisies en wat bygedra het tot die unieke nasionale volksaard van die Duitsers. Met hierdie belangstelling het Mayer stelselmatig begin om die unieke kunshandwerk van die Afrikanerpioniers te versamel. Hy het hier 'n geleentheid gesien om via voorbeelde van plaaslike kunshandwerk 'n estetiese bewussyn by die Suid-Afrikaans gemeenskap en meer spesifiek by die Afrikaner aan te wakker. Mayer was van mening dat die sinvolle ontwikkeling en bemarking van hierdie kulturele voorwerpe en ontwerpe daartoe sou kon bydra om 'n eie kunsidentiteit met sterk nasionale karakter in Suid-Afrika tot stand te bring. Wat die beeldende en toegepaste kunste betref, het Mayer 'n wye belangstellingsveld gehad en het hy ook omvattende navorsing oor die inheemse boukuns, meubelontwerpe en kunshandwerkartikels van die vroee Boerepioniers, asook oor die van die inheemse bevolkingsgroepe, onderneem. Hy het die land deurreis op soek na geskikte voorbeelde van kunshandwerkartikels, gereeld lesings aangebied en artikels gepubliseer, die alledaagse Boerelewe op die platteland visueel gedokumenteer en op die manier 'n besondere ryk nalatenskap daargestel. / History / D. Litt et Phil. (Geskiedenis)

Emotional intelligence has attracted a considerable amount of attention over the past few years specifically with regard to the nature of the underlying construct and the reliability and validity of the psychometric tools used to measure the construct. The present study explored the reliability and validity of a trait measure of EI in relation to an ability measure in order to determine whether the tools can be considered as measuring conceptually valid constructs within an occupational environment. The study also examined the overlap with a trait measure of cognitive thinking styles to determine the potential for separating the trait and ability EI into two unique and distinguishable constructs. Participants included 308 employees from four different workforces within a diverse South African consulting firm. The results of the study identified a number of psychometric concerns regarding the structural fidelity of the instruments as well as concerns about the cultural bias evident in both measurement instruments. Evidence for the discriminant and incremental validity of the two instruments was, however, provided and recommendations are made for the reconceptualisation of trait EI as an emotional competence and ability EI as an emotional intelligence. / Psychology / D. Litt. et Phil. (Psychology)