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6

Why you need to reduce the space is not clear to me. Even in a two column document it fits without problem. On the other hand you are doing a lot to disrupt LaTeX's layout. There are a couple of problems with your set-up angle brackets should be input \langle...\rangle not <...> the integrals in the top and bottom of the \frac should be uniform, ...


3

amsmath has documentation explaining a number of different environments and is worth a look. For example: \documentclass{article} \usepackage{amsfonts, amsthm, amsmath, amssymb} \begin{document} \noindent Text text text text text text text: \begin{equation} \begin{split} 123456789012345678901234567890123456789012345678901234567890=\\ ...


3

I would (a) break the equation across two lines, using the split environment of the amsmath package inside the equation environment, and enlarge the square brackets and curly braces and (b) provide the instruction \raggedbottom. In addition, I would exchange the order of square brackets and curly braces in the second part of the equation to create more ...


3

We would use \label{labelname} on a line (before the \\ command) to label a particular line. It is conventional to use the \eqref command in order to automatically wrap the reference with parentheses. \documentclass{article} \usepackage[utf8]{inputenc} \usepackage{amsmath,amsthm,amssymb,mathtools} \begin{document} \begin{alignat}{2} \sigma_1 &= x + y ...


1

Here are two solutions,; one of them uses tools from nccmathto have mediumsized formulae (~80 % of \displaystyle). In addition, I replaced <\mathscr F> with \langle\mathscr F\rangle, as I suspect it's the correct notation – but maybe I'm wrong. \documentclass{article} \usepackage[utf8]{inputenc} \usepackage{mathtools} \usepackage{lmodern} ...



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