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Strath PhD Thesis Template by Jethro Browell [jethro.browell@strath.ac.uk] Guidelines for thesis format, submission and content are found in General and Course Regulations for Graduate and Postgraduate Awards and Degrees, section 20.6. The Strathclyde logo can be found in other formats at www.strath.ac.uk.

This document is based in the "basic article" template offered by Overleaf. It's a translation and adaptation to catalan language. can be used as initial template for documents written in catala. (Catalan description): Aquest document és una traducció i adaptació al català del document que ofereix "Overleaf" com exemple de document bàsic. Presenta l'estructura d'un document complet i conté les comandes principals amb alguns exemples.

The Loewner Equation and the derivative of its solution

Reseña del Autor del premio Nobel

Micromouse Symposium article template.

We will form a proof of the Arzela-Ascoli Theorem through use of the Heine-Borel theorem. We will also be considering some notions of compactness on metric spaces. The Arzela-Ascoli Theorem then allows us to show compactness, letting us state and prove Peano's existence theorem, pertaining to the existence of the solutions of a type of ODE. Then we will state the Kolmogorov-Riesz compactness theorem, allowing us to show compactness in $L^p$ spaces, building from the Arzela-Ascoli Theorem.

Template for the thesis manuscript of the MathSTIC doctoral school, France.Thanks to Louiza Yala, Pierre-Louis Roman, Lucas Bourneuf and Corentin Guezenoc.

This is dissertation.tex, to be compiled with latex2e. (16 April 2012)

Calculus in a Nutshell is basically a summary of calculus. I am through power series. Thoughts, comments and edits are appreciated.