About a decade ago, a group of competitive CrossFitters in Charleston, South Carolina, went looking for ways to improve their athletic performance without taking steroids. At the time, members of the ...

These are the lecture notes for block 1 of the \textit{Engineering Mathematics~1} (ENG1063) course. They contain the material covered in the lectures and more.

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We establish a new theory which unifies various aspects of topological approaches for data science, by being applicable both to point cloud data and to graph data, including networks beyond pairwise ...

Laboratory of Computational Science and Modeling, IMX, École Polytechnique Fédérale de Lausanne, 1015 Lausanne, Switzerland National Centre for Computational Design and Discovery of Novel Materials ...

In this paper we study the attractor of a parabolic semiflow generated by a singularly perturbed PDE with a non-linear term given by a bistable potential, in an oval surface; the Allen-Cahn equation ...

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