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6

Use a minipage \documentclass{article} \usepackage{amsmath} \begin{document} We make the further assumption that $$\label{eqn:assumption} \begin{minipage}{0.9\textwidth} There is a bounded linear operator B:X\to X^* such that B^*=B and the operator JB is an extension of T'(0) \end{minipage}$$ ...

5

\documentclass{article} \usepackage{mathtools} \begin{document} $$Z = \begin{cases} 1 & \text{if the outcome is a success} \\ 0 & \text{if the outcome is a failure} \end{cases}$$ Z = \begin{cases*} 1 & if the outcome is a success \\ 0 & if ...

4

You have to pay attention to proper nesting of braces and \left ... \right pairs, your second example is incorrect in this sense. Just avoid using \left ... \right since they are evil, and you'll be fine: \documentclass[12pt,a4paper]{article} \usepackage[utf8]{inputenc} \usepackage[spanish]{babel} \usepackage{amsmath} \usepackage{amsfonts} ...

4

You're using the definition of \unit incorrectly. \newcommand{\unit}[1]{..} specifies that \unit will take a single mandatory argument. If you don't provide an explicit brace (in the form of \unit{..}), then the first token will be taken as the argument: \unit[{dB}_{SPL}] So in the above, [ is taken as the argument and therefore the above is replaced ...

3

In my opinion it makes little sense having two numbers for a single mathematical object (the system of equations). Anyway, if you really want this, use empheq (and alignat as the inner environment, because align would spread the parts too much): \documentclass{article} \usepackage{amsmath,amssymb} \usepackage{empheq} \begin{document} ...

3


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