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4

Is this maybe what you want? (Note that a single align* environment is used, along with several \intertext instructions. The align* environment and the \intertext macro are provided by the amsmath package.) \documentclass[a4paper,12pt]{article} \usepackage{amsmath} \allowdisplaybreaks % allow page breaks in lengthy "align" environments \begin{document} ...

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I found that beamer seems to be unable to use greek letters for operators unless either \usefonttheme{serif} or \usefonttheme{professionalfonts} has been used. \usefonttheme{default} fails. Can it be a bug?

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If you use isomath with beamer, Greek letters will be in a different font than the standard sans serif; for instance \documentclass[intlimits]{beamer} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{isomath} \begin{document} \begin{frame} $\alpha+\beta-1$ \end{frame} \end{document} prints the disputable output You may want to use ...

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One option using \mathchoice: \documentclass{article} \usepackage{amsmath} \usepackage{amssymb} \usepackage{graphicx} \usepackage{calc} \newcommand{\op}{ \mathop{ \vphantom{\bigoplus} \mathchoice {\vcenter{\hbox{\resizebox{\widthof{$\displaystyle\bigoplus$}}{!}{$\boxplus$}}}} ...

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The \DeclareMathOperator function is for defining a quite narrow kind of objects; for instance \log, \exp, \sin or \max use (an equivalent form of) it. So it's for defining function symbols that should consist of letters in the same shape as normal text, as opposed to math italic. Basically \DeclareMathOperator{\foo}{blurb} does something like ...

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How about just using subscripts and superscripts? $3.6^{+1.1}_{-1.4}$

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Instead of modifying the macros \argmin and \bla to include math-struts, I suggest you load the mathtools package -- a superset of the amsmath package -- and use that package's \adjustlimits macro to align the expressions in the limits. Remark: As @egreg has noted in a comment, the instruction \operatornamewithlimits has been deprecated for quite a few ...

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You may use LaTeX to write the limit equations, without calling any extra packages. Using daleif's example in his comment: %pdfLaTeX \documentclass[margin=3mm]{standalone} \begin{document} $\lim_{x\to\infty}$\\[3cm] $\lim\limits_{x \to \infty}$ \end{document}

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Package amsmath does not define all kind of operators, thus \ran needs to be defined: \documentclass{article} \usepackage[T1]{fontenc} \usepackage{amsmath, amsthm, amssymb} \DeclareMathOperator{\ker}{Ker} \DeclareMathOperator{\ran}{Ran} \begin{document} $\ker(A)$ works! $\ran(A)$ works after it is defined. \end{document} Also \ker can be changed: ...

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I wouldn't make the macro \E take an explicit argument. Instead, I would define \E via a \DeclareMathOperator statement and then write \E(X), \E X, etc. That way, you can decide "on the fly" whether or not to use parentheses. Note that this approach requires no extra typing during input: You simply replace \E{X} with \E(X) -- exact same number of ...

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There are four ways to write the sum in question. It may be written with a small or large summation symbol, and with the limits of summation typeset either to the side of or below/above the summation symbol. The version shown in the upper-left cell of the following screenshot is what's commonly used for inline-math notation, while the version shown in the ...

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