How many triangles does it take to make a square? The answer is simple: two. This problem has a direct analogue in dimensions three and higher, but the answers are much harder to find. We provide new lower bounds in dimensions 4 through 13, an asymptotic lower bound which is inferior to the best known bound in high dimensions, and some new ideas which produce good upper bounds in both low and high dimensions.

Mémoire (M.Sc.A.)-- Université du Québec à Chicoutimi, 1992. / Bibliogr.: f. [1-5]. Document électronique également accessible en format PDF. CaQCU

No description available.

No description available.

No description available.

A thesis submitted to the Faculty of Science, University of the Witwatersrand, Johannesburg, in fulfilment of the requirements for the degree of Doctor of Philosophy. Johannesburg, December 2014. / In this thesis the evolution equations of the Yukawa couplings and quark flavour mixings are derived for the one-loop renormalisation group equations in five and six-dimensional models, compactified in different possible ways to yield standard four space-time dimensions. Different possibilities for the matter fields are discussed, such as the case of bulk propagating or brane localized fields. We discuss in both cases the evolution of the Yukawa couplings, the Jarlskog parameter and the Cabibbo-Kobayashi-Maskawa matrix elements, finding that for both scenarios, as we run up to the unification scale, significant renormalisation group corrections are present. We also discuss the results of different observables of the five-dimensional universal extra dimension model in comparison with those of six-dimensional models and the model dependence of the results. We also studied the scaling of the mass ratios and the implications for the mixing angles in these six-dimensional model as well as the 5D Minimal Supersymmetric Standard Model on an S1/Z2 orbifold. The renormalisation group equation evolutions for the Higgs sector and for the neutrino sector in six-dimensional models are also investigated. The recent experimental results of the Higgs boson from the LHC allow, in some scenarios, stronger constraints on the cutoff scale to be placed, from the requirement of the stability of the Higgs potential.

Thèse doctorat : Médecine. Génie biologique et médical : Rennes 1 : 2006. / Bibliogr. p.187-202.

Habilitation à diriger des recherches : Sciences médicales : Faculté de médecine, Rennes 1 : 2005. / Bibliogr. p. 154.

Thesis(M.S.)--Auburn University, 2006. / Abstract. Includes bibliographic references.

Business to business trust is topical, and the decision to outsource noncore professional services is gaining momentum. This study sought to understand the role of trust in the selection of a first time professional services provider. Through a review of the literature, the study built a model of six trust dimensions in the business to business space, structured by two factors - Trust and Reliance. Using non probability sampling, decision makers and influencers across heterogeneous companies and industries were surveyed through a web based, self completed questionnaire. Using 157 responses, the model was tested in terms of its components (trust dimensions, grouped into the two factors) and outcomes (the relationship between the trust dimensions, Global Trust, and the trust factors on first time Purchase Intent). Little proof was found for the proposed model, from a six dimensions or two factors perspective. Revealed by the data, however, was a new two factor solution – Earned trust (trust based on past performance) and Expected trust (trust derived from the expectation of performance going forward). Global Trust was found to have a significant relationship with Purchase Intent; Interpersonal trust was found to be the most prominent dimension influencing the buying decision; and Expected Trust was revealed as the most influential and valid individual factor. Key limitations include the single item Purchase Intent scale; the heterogeneous sample in terms of industry and company size; the specialisation of the sample to the purchasing of small business management and consulting projects and the cross sectional nature of the research. Going forward this would imply the need to source a multi itemed Purchase Intent scale to strengthen the scale’s degree of validity, accuracy, and reliability; explore the trust and Purchase Intent relationship in both small and large companies and from an industry specific perspective; investigate more fully the business management and consulting skills service subset; and test for the respective importance of Earned versus Expected trust in relation to Purchase Intent across the phases of relationship development. The study offers empirical proof for the relationship between Global Trust and Purchase Intent in professional services and for the importance of interpersonal relationships in this space. Most importantly, it lays the foundation of construct validity for the more comprehensive trust scale of Earned and Expected trust. From a business perspective, findings of this study infer that in order to present as an attractive partner, providers must invest their energy in sharing past performance and track record in order to reduce buyer uncertainty; and must spend considerably more effort in creating confident expectations about how performance and goodwill will be guaranteed going forward. Prioritisation of efforts should be on building the perception among potential buyers of the expertise and integrity of the professionals within the supplier organisation. / Dissertation (MBA)--University of Pretoria, 2010. / Gordon Institute of Business Science (GIBS) / unrestricted