3

I have a couple of inequalities. And though I am happy with the result, I am not with the way I achieved it because I manually added some \vspace. How does one achieve this more elegantly?

\documentclass{scrartcl}
\usepackage[utf8]{inputenc}         
\usepackage[english]{babel}
\usepackage[onehalfspacing]{setspace}
\usepackage{amsmath}
\begin{document}

\section*{New }
\begin{center} $ (1-p_{i}^{r})(1-p_{o}^{r})2 u(e_{o})+(p_{i}^{r} (1-p_{o}^{r}) + (1-p_{i}^{r})p_{o}^{r} )(2u(\frac{e_{i}+\Delta e_{i}+e_{o}}{2})-d)+p_{i}^{r}p_{o}^{r}2 (u(e_{i}+\Delta e_{i})-d) $ \end{center} 
\vspace{-1.8cm}
\begin{center}
     \begin{equation*} \geq   \end{equation*} 
 \end{center}\vspace{-0.7cm}

\begin{center} $ (1-p_{i}^{n} )(1-p_{o}^{n} )2 u(e_{o})+(p_{i}^{n}  (1-p_{o}^{n} ) + (1-p_{i}^{n} )p_{o}^{r} )(2u(\frac{e_{i}+e_{o}}{2})-d)+p_{i}^{n} p_{o}^{n} 2 (u(e_{i})-d) $, \end{center} 
\section*{New }

\begin{center} \(U_{(j,\tilde{j})}^{r}=(1-p_{j}^{r})(1-p_{\tilde{j}}^{r})(1+\alpha)u(c_{o,o})+(1-p_{j}^{r})p_{\tilde{j}}^{r}(u(c_{o,i})+\alpha (u(c_{i,o})-d))\)\\  
    \(+p_{j}^{r}(1-p_{\tilde{j}}^{r})(u(c_{i,o})-d+\alpha u(c_{o,i}))+p_{j}^{r}p_{\tilde{j}}^{r}(1+\alpha)(u(c_{i,i})-d)\) 
\end{center} 

\vspace{-2.0cm}

\begin{center} \begin{equation*} \geq  \label{EQALT} \end{equation*} \end{center}\vspace{-0.9cm}

\begin{center} \(U_{(j,\tilde{j})}^{n}=u(c_{j,\tilde{j}})-{1}_{\{j=i\}}d  +\alpha(u(c_{\tilde{j},j})-{1}_{\{\tilde{j}=i\}}d).\)\end{center}
\end{document}
1

This is a rather unusual way of writing an equation. The amsmath package provides a number of environments that is specifically designed to organize multi-line equations. In this case, the gather environment can be an option for you.

Here, I organized your first equation with gather:

\documentclass{scrartcl}
\usepackage[utf8]{inputenc}
\usepackage[onehalfspacing]{setspace}
\usepackage{amsmath}
\begin{document}

\small\begin{gather*}
    (1-p_{i}^{r})(1-p_{o}^{r})2 u(e_{o})+(p_{i}^{r} (1-p_{o}^{r}) + (1-p_{i}^{r})p_{o}^{r} )(2u(\tfrac{e_{i}+\Delta e_{i}+e_{o}}{2})-d)+p_{i}^{r}p_{o}^{r}2 (u(e_{i}+\Delta e_{i})-d) \\
    \geq \\
    (1-p_{i}^{n} )(1-p_{o}^{n} )2 u(e_{o})+(p_{i}^{n}  (1-p_{o}^{n} ) + (1-p_{i}^{n} )p_{o}^{r} )(2u(\tfrac{e_{i}+e_{o}}{2})-d)+p_{i}^{n} p_{o}^{n} 2 (u(e_{i})-d)
\end{gather*}

\end{document}

enter image description here

Some notes:

  • I replaced \frac with \tfrac to have the same appearance as in your original example. You may want to use \frac again but that will require some adjustments with the braces.
  • I used \small to have the full equation fit in one line (so that you see that gather actually centers the equations). Instead of a smaller font size you might add an additional line break or change the page margins. There are also other math environments you can use for very long equations.
  • Perfect. The second one I did myself. – PeterStrawson Feb 9 '18 at 9:26
2

I'd avoid the ≥ symbol centered by itself; splitting those long terms seems necessary.

\documentclass{scrartcl}
\usepackage{amsmath,mathtools}

\begin{document}

\section*{New}
Some text for detaching the equation from the section title
\begin{equation}
\begin{multlined}
\begin{multlined}
  \bigl(1-p_{i}^{r})(1-p_{o}^{r}) 2u(e_{o}\bigr)
  +\bigl(p_{i}^{r} (1-p_{o}^{r}) + (1-p_{i}^{r})p_{o}^{r}\bigr)
  \bigl(2u(\tfrac{e_{i}+\Delta e_{i}+e_{o}}{2})-d\bigr) \\
  +p_{i}^{r}p_{o}^{r}2 (u(e_{i}+\Delta e_{i})-d)
\end{multlined}
\\[1ex]
\begin{multlined}
  \geq
  (1-p_{i}^{n})(1-p_{o}^{n}) 2u(e_{o})+(p_{i}^{n} (1-p_{o}^{n}) +
  (1-p_{i}^{n})p_{o}^{r})\bigl(2u(\tfrac{e_{i}+e_{o}}{2})-d\bigr)\\
  +p_{i}^{n} p_{o}^{n} 2 (u(e_{i})-d),
\end{multlined}
\end{multlined}
\end{equation}

\end{document}

Are you sure about p_{o} and e_{o} or shouldn't they be p_{0} and e_{0}?

enter image description here

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.