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The Riemann integral has many flaws, some that becomes visible in the fundamental theorem of calculus. The main point of this essay is to introduce the gauge integral, and prove a much more suitable version of that theorem. / Riemannintegralen har många brister. Vissa utav dessa ser man i integralkalkylens huvudsats. Huvudmålet med denna uppsats är att introducera gauge integralen och visa en mer lämplig version av huvudsatsen.

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The traditional bridge evaluation process contains uncertainty that affects management decisions. Numerical models require assumptions regarding structural response, and code load models are inherently conservative to ensure uniform applicability. This research investigated how structural monitoring could reduce uncertainty in the evaluation and management process. Targeted instrumentation was implemented on the MacKay Bridge. Controlled load testing was conducted to refine an existing numerical model. Long-term monitoring was completed to compare extreme in-situ traffic effects with the Canadian Highway Bridge Design Code. Throughout the project, accuracy of information collected was a priority; deviation from code recommendations requires absolute confidence in the data. Outputs from controlled testing indicated that the existing numerical model for load distribution and structural response required minimal tuning. Long-term testing indicated that actual load effects are less than code requirements. Results from this thesis show that structural monitoring can reduce uncertainty in structural evaluation and management decisions for infrastructure.

Classical gauge theories are studied for spherically symmetric monopole solutions. The Higgs field is taken in the adjoint representation and in the limit of vanishing self-interaction. The equations of motion can be represented by a Lax pair. Using techniques from group representation theory, explicit solutions are obtained in the case of the principal embedding of the symmetry group SU(2) in the bigger gauge group. The parameters of the solutions can be chosen to give finite fields everywhere, and the large r behaviour of the Higgs field, which determines the symmetry breaking, is discussed. Some low rank groups are studied as examples. Next, some properties of the non-principal SU(2) embeddings and their classification are discussed. These are then used to obtain more solutions, but the problem has not been solved for the most general case.

Bibliography: p. 169-172. / viii, 172 p. : ill. ; 30 cm. / Title page, contents and abstract only. The complete thesis in print form is available from the University Library. / Uses the tool of lattice regularisation to calculate the 2-point Euclidean Green's function in pure SU (3) Yang-Mills (quenched quantum chromodynamics), in Landau gauge. Adding improved gauge fixing and tree level correction to the improvement program developed by Symanzik [et al.], shows that the gluon propagator can be reliably calculated on lattices coarser than has hitherto been used. / Thesis (Ph.D.)--University of Adelaide, Dept. of Physics and Mathematical Physics, 2000?

Bibliography : p. 105-111 / xi, 111 p. : ill ; 30 cm. / Title page, contents and abstract only. The complete thesis in print form is available from the University Library. / Thesis (Ph.D.)--University of Adelaide, Dept. of Physics and Mathematical Physics, 1992

Bibliography: p. 169-172. / viii, 172 p. : ill. ; 30 cm. / Title page, contents and abstract only. The complete thesis in print form is available from the University Library. / Uses the tool of lattice regularisation to calculate the 2-point Euclidean Green's function in pure SU (3) Yang-Mills (quenched quantum chromodynamics), in Landau gauge. Adding improved gauge fixing and tree level correction to the improvement program developed by Symanzik [et al.], shows that the gluon propagator can be reliably calculated on lattices coarser than has hitherto been used. / Thesis (Ph.D.)--University of Adelaide, Dept. of Physics and Mathematical Physics, 2000?

Thesis (Ph.D.)--University of Adelaide, Dept. of Physics and Mathematical Physics, 2000? / Bibliography: p. 169-172.

Thesis (Ph.D.)--University of Adelaide, Dept. of Physics and Mathematical Physics, 2002? / Bibliography: p. 377-382.