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Showing 1 to 6 of 6 for “"Lebesgue integration"”.
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Measurement that transcends time : a Lebesgue integral approach to existential sentences
… an alternative, novel approach that employs Lebesgue integration. The first chapter is centered around Musan's (1995) generalization that states that the temporal (situational) interpretation of a non-presuppositional (i.e. existential) noun phrase is obligatorily dependent on that of the …
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Qualitative and quantitative convergence results for randomised integration methods
In this thesis different randomised integration methods based on either, randomised Quasi-Monte Carlo, or (adaptive) Markov chain Monte Carlo methods are studied. Depending on the underlying integration problem we show qualitative and quantitative results, which ensure the asymptotic correctness of …
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Martingale Convergence Techniques in Noncommutative Integration
… algebra could be interpreted through the lens of integration theory stretches back to the original works of Murray and von Neumann on "rings of operators", the theory they developed to provide a mathematical framework for quantum mechanics. Since then, Segal discovered that not only is the theory …
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Construction of a Non-Standard Integral on AC [0, 1]
A review of the Riemann and Lebesgue integration leads into the development and proof of the Riesz Representation Theorem. After this a new function space and a new norm are presented. A dense subset is extracted and used to approximate the functions in the new space. These approximations are used …
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Construction of a non-standard integral on AC [0, 1]
A review of the Riemann and Lebesgue integration leads into the development and proof of the Riesz Representation Theorem. After this a new function space and a new norm are presented. A dense subset is extracted and used to approximate the functions in the new space. These approximations are used …