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              <text>Once a porous material becomes contaminated with a chemical agent the typical solution is to introduce a cleansing fluid to the surface of the material, allowing the cleanser to react with the agent and creating a less harmful product which neutralises the solution and decontaminates the material. Usually the cleanser and the agent are insoluble, so a flat boundary between the two solutions develops where the decontamination reaction occurs, which moves down through the material over time. We introduce a decay reaction between the cleansing fluid and the porous material to an existing model, and investigate the impact this has on the decontamination process. We shall show for systems with sufficiently large decay that the decontamination efficiency loses its dependence on cleanser strength, meaning that unlike low decay systems there is no drawback to using a weaker cleanser.</text>
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              <text>This project is supervised by Han Yu in Warwick Mathematics Institute. The main aim of this project is to explore the Khinchine's theorem on \mathbb(R)^n, and further restrict to a non-degenerate manifold \mathcal{M} with Gaussian curvature on \mathbb{R}^n, with relative measure on \mathcal{M}. For simplicity we just prove the result over [0,1]^n.</text>
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                <text>An Investigation into Problems in Coarse Graph Theory</text>
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                <text>Natalie Behague</text>
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                <text>A case of the dijoin conjecture on inverting oriented graphs</text>
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                <text>Patrick Gaudart-Wifling</text>
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