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16Please do yourself a favour and have a look at https://tex.stackexchange.com/questions/11/what-are-good-learning-resources-for-a-latex-beginner instead of asking a separate question about each and every equation. – samcarter_is_at_topanswers.xyz Jan 30 '19 at 22:13
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2Please improve the title of your question to match its contents, so that it could be searchable. For example, use keywords: large braces, left braces with multi lines equation, etc.. For your second equation, you can find some help in this answer: https://tex.stackexchange.com/questions/9065/large-braces-for-specifying-values-of-variables-by-condition Your first equation is just straight forward. – hesham Jan 30 '19 at 23:05
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First you must read How do I ask a good question?. However...
The code is the following:
\documentclass{article}
\usepackage{amsmath}
\begin{document}
\begin{align*}
[-\pi, \pi] &= [a_1, b_1] \cup [a_2 - (b_2 - a_1), b_2 - (b_2 - a_1)], \\
h_k(x) &= \begin{cases}
g(x), & a_1 \leq x \leq b_1 \\
g(x - (b_2 - a_1)), & a_2 \leq x \leq b_2 .
\end{cases}
\end{align*}
\end{document}
Werner
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Boris Valderrama
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