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This is a simple step by step on how to do mathematical induction.

Mathematical Induction paper

A multilingual example document with Arabic, Sanskrit, Hindi, Chinese, Japanese, Korean, Greek and Thai, using XeLaTeX + fontspec + polyglossia.

As part of our Community Resources for teachers running courses, workshops and events, here we provide an Overleaf-version of the excellent quick guide to LaTeX, originally by Dave Richeson (reproduced with his kind permission). This version is perfect for sharing as a PDF, or as a two-sided printed handout. If you'd like to tweak it to suit your workshop, you can open it as a template to make edits to the source. Please note that the Overleaf logos themselves shouldn't be altered, but you can find alternative versions here if you'd prefer. If you make substantial edits to the template, or find other uses for it, please let us know! We also have a complementary PDF listing the Overleaf keyboard shortcuts, available here. If you're looking for a fuller guide to LaTeX to share with you students, we have a free online course, a learn LaTeX in 30-minutes quick start guide, and many other in-depth tutorials and examples on our learn wiki. License note: the text content / source code of the handout is provided under the CC BY 4.0 license, as is Dave Richeson's original version. If you modify the template, guidance on the use of the Overleaf logos is available here.

Customizable template (pdfLaTeX version) for typesetting theses in English. This template is based on the unofficial diploma thesis template designed for the graduate students of the Department of Computer Engineering, Technological Educational Institute of Peloponnese, Greece. See "main.tex" for instructions and customization options. (Last update: Feb. 19, 2018 ). ( Note that basic-plan Overleaf users may encounter "compile timeout" errors while trying to compile this template online.)

Resumo das Regras para a Dedução Natural Material de aula da disciplina MAC0239 - Introdução à Lógica e Verificação de Programas (Agosto de 2015)

Things about things

How to derive the Taylor series for the Lambert W function. The Lambert W function is the inverse of the function x ↦ xex.

Here we present a short example of how to use the 'wrapfig' package to automatically wrap text around a figure (including the figure caption). The example shows left and right aligned figures with wrapped text, and is available to open as a template if you want to try it for yourself.