amsmathmath-mode
All,
I know how to write an equation if I am maximizing over one condition. For example,
$\max_{0 \leq x \leq 1} f(x)$
But I an not sure how to write it if I have to maximize the function over two conditions and I would like the second condition to appear below the first condition. Any help is appreciated.
You have a lot of mis matched brackets ( and [ and { which makes the source and the output hard to follow. I assumed that they were intended to be matched and let Tex find the line breaks on its own:
\documentclass[12pt]{book}
\usepackage{lipsum}
\begin{document}
How can I write equation beatifull. I want all equation the same of text width
\lipsum[1]
\begin{center}
$\displaystyle
{[ {{T}_{44}}( 1,2 ) +2{{T}_{44}}( 5,2 )+{{T}_{44}}( 2,2 ) ]\frac{{{\partial }^{4}}{{w}^{b}}}{\partial {{\eta }^{4}}}}+
{[ {{T}_{44}}( 1,3 ) +2{{T}_{44}}( 5,3 )+{{T}_{44}}( 2,3 ) ]\frac{{{\partial }^{4}}{{w}^{b}}}{\partial {{\xi }^{3}}\partial \eta }}+
{[ {{T}_{44}}( 1,4 )+2{{T}_{44}}( 5,4 )+{{T}_{44}}( 2,4 ) ]\frac{{{\partial }^{4}}{{w}^{b}}}{\partial \xi \partial {{\eta }^{3}}}}+
{[ {{T}_{44}}( 1,5 )+2{{T}_{44}}( 5,5 )+{{T}_{44}}( 2,5 ) ]\frac{{{\partial }^{4}}{{w}^{b}}}{\partial {{\xi }^{2}}\partial {{\eta }^{2}}}}+
{[ {{T}_{43}}( 1,1 ) +2{{T}_{43}}( 5,1 )+{{T}_{43}}( 2,1 ) ]\frac{{{\partial }^{3}}{{w}^{b}}}{\partial {{\xi }^{3}}}}+
{[ {{T}_{43}}( 1,2 )+2{{T}_{43}}( 5,2 )+{{T}_{43}}( 2,2 ) ]\frac{{{\partial }^{3}}{{w}^{b}}}{\partial {{\eta }^{3}}}}+
{[ {{T}_{43}}( 1,3 )+2{{T}_{43}}( 5,3 )+{{T}_{43}}( 2,3 ) ]\frac{{{\partial }^{3}}{{w}^{b}}}{\partial {{\xi }^{2}}\partial \eta }}+
{[ {{T}_{43}}( 1,4 ) +2{{T}_{43}}( 5,4 )+ {{T}_{43}}( 2,4 ) ]\frac{{{\partial }^{3}}{{w}^{b}}}{\partial \xi \partial {{\eta }^{2}}}}+
{[ {{T}_{42}}( 1,1 )+2{{T}_{42}}( 5,1 )+{{T}_{42}}( 2,1 ) )\frac{{{\partial }^{2}}{{w}^{b}}}{\partial {{\xi }^{2}}}}+
{[ {{T}_{42}}( 1,2 )+2{{T}_{42}}( 5,2 )+{{T}_{42}}( 2,2 ) ]\frac{{{\partial }^{2}}{{w}^{b}}}{\partial {{\eta }^{2}}}}+
{[ {{T}_{42}}( 1,3 )+ 2{{T}_{42}}( 5,3 ) +{{T}_{42}}( 2,3 ) ]\frac{{{\partial }^{2}}{{w}^{b}}}{\partial \xi \partial \eta }}+
{[ {{T}_{41}}( 1,1 )+2{{T}_{41}}( 5,1 )+{{T}_{41}}( 2,1 ) ]\frac{\partial {{w}^{b}}}{\partial \xi }} +
{[ {{T}_{41}}( 1,1 )+2{{T}_{41}}( 5,1 )+{{T}_{41}}( 2,1 ) ]\frac{\partial {{w}^{b}}}{\partial \eta } -2\mu {{\tau }^{s}}}+
{[ {{T}_{44}}( 1,1 )+ 2{{T}_{44}}( 5,1 ) + {{T}_{44}}( 2,1 ) ]\frac{{{\partial }^{4}}{{w}^{b}}}{\partial {{\xi }^{4}}}}+
{[ {{T}_{44}}( 1,2 ) +2{{T}_{44}}( 5,2 ) +{{T}_{44}}( 2,2 ) ]\frac{{{\partial }^{4}}{{w}^{s}}}{\partial {{\eta }^{4}}}}+
{{T}_{44}}( 1,3 )
$\end{center}
\end{document}
Or using breqn essentially the same input produces
\documentclass[12pt]{book}
\usepackage{breqn}
\usepackage{lipsum}
\begin{document}
How can I write equation beatifull. I want all equation the same of text width
\lipsum[1]
\begin{dmath*}
{[ {{T}_{44}}( 1,2 ) +2{{T}_{44}}( 5,2 )+{{T}_{44}}( 2,2 ) ]\frac{{{\partial }^{4}}{{w}^{b}}}{\partial {{\eta }^{4}}}}+
{[ {{T}_{44}}( 1,3 ) +2{{T}_{44}}( 5,3 )+{{T}_{44}}( 2,3 ) ]\frac{{{\partial }^{4}}{{w}^{b}}}{\partial {{\xi }^{3}}\partial \eta }}+
{[ {{T}_{44}}( 1,4 )+2{{T}_{44}}( 5,4 )+{{T}_{44}}( 2,4 ) ]\frac{{{\partial }^{4}}{{w}^{b}}}{\partial \xi \partial {{\eta }^{3}}}}+
{[ {{T}_{44}}( 1,5 )+2{{T}_{44}}( 5,5 )+{{T}_{44}}( 2,5 ) ]\frac{{{\partial }^{4}}{{w}^{b}}}{\partial {{\xi }^{2}}\partial {{\eta }^{2}}}}+
{[ {{T}_{43}}( 1,1 ) +2{{T}_{43}}( 5,1 )+{{T}_{43}}( 2,1 ) ]\frac{{{\partial }^{3}}{{w}^{b}}}{\partial {{\xi }^{3}}}}+
{[ {{T}_{43}}( 1,2 )+2{{T}_{43}}( 5,2 )+{{T}_{43}}( 2,2 ) ]\frac{{{\partial }^{3}}{{w}^{b}}}{\partial {{\eta }^{3}}}}+
{[ {{T}_{43}}( 1,3 )+2{{T}_{43}}( 5,3 )+{{T}_{43}}( 2,3 ) ]\frac{{{\partial }^{3}}{{w}^{b}}}{\partial {{\xi }^{2}}\partial \eta }}+
{[ {{T}_{43}}( 1,4 ) +2{{T}_{43}}( 5,4 )+ {{T}_{43}}( 2,4 ) ]\frac{{{\partial }^{3}}{{w}^{b}}}{\partial \xi \partial {{\eta }^{2}}}}+
{[ {{T}_{42}}( 1,1 )+2{{T}_{42}}( 5,1 )+{{T}_{42}}( 2,1 ) )\frac{{{\partial }^{2}}{{w}^{b}}}{\partial {{\xi }^{2}}}}+
{[ {{T}_{42}}( 1,2 )+2{{T}_{42}}( 5,2 )+{{T}_{42}}( 2,2 ) ]\frac{{{\partial }^{2}}{{w}^{b}}}{\partial {{\eta }^{2}}}}+
{[ {{T}_{42}}( 1,3 )+ 2{{T}_{42}}( 5,3 ) +{{T}_{42}}( 2,3 ) ]\frac{{{\partial }^{2}}{{w}^{b}}}{\partial \xi \partial \eta }}+
{[ {{T}_{41}}( 1,1 )+2{{T}_{41}}( 5,1 )+{{T}_{41}}( 2,1 ) ]\frac{\partial {{w}^{b}}}{\partial \xi }} +
{[ {{T}_{41}}( 1,1 )+2{{T}_{41}}( 5,1 )+{{T}_{41}}( 2,1 ) ]\frac{\partial {{w}^{b}}}{\partial \eta } -2\mu {{\tau }^{s}}}+
{[ {{T}_{44}}( 1,1 )+ 2{{T}_{44}}( 5,1 ) + {{T}_{44}}( 2,1 ) ]\frac{{{\partial }^{4}}{{w}^{b}}}{\partial {{\xi }^{4}}}}+
{[ {{T}_{44}}( 1,2 ) +2{{T}_{44}}( 5,2 ) +{{T}_{44}}( 2,2 ) ]\frac{{{\partial }^{4}}{{w}^{s}}}{\partial {{\eta }^{4}}}}+
{{T}_{44}}( 1,3 )
\end{dmath*}
\end{document}
A modification of the \dddot macro of amsmath:
\documentclass{article}
\newcommand\ringring[1]{%
{% make an Ord atom
\mathop{\kern0pt #1}\limits^{% set a box over the variable
\vbox to-1.85ex{
\kern-2ex % lower the ring accents
\hbox to 0pt{\hss\normalfont\kern.1em \r{}\kern-.45em \r{}\hss}%
\vss % fill
}% end of \vbox
}% end of the superscript
}% end of \mathop
}
\begin{document}
$\mathring{x}\ringring{x}\ddot{x}$
\end{document}
Best Answer
You can use
\substack, provided by theamsmathpackage:It works similar to an
arraywhere multiple lines are separated using\\. Another alternative would be to use the\mathop- it produces the same result as above:\mathopmakes it's argument an operator, which allows for the traditional limit placement using_and/or^which adds it below/above the operator.