I wanted to use align*
environment but it's somehow not working. It's working with regular $$
but the problem is then i have to customize formatting with \hspace
and \vspace
which defeats the purpose of TeX.
It seems to be a straight forward question. Could be a bug in TeX. Cause there are no typos. I have gone over the slide many times. The code is given below and the output slide is also shown underneath the code.
\begin{frame}{Best Linear Predictor}
\begin{itemize}
\item $\min \limits_{\alpha,\beta} E(Y - \alpha - \beta X)^2$\\
\item Expanding the squared terms and taking the expectations individually we get the following:
\bigskip
$S = E(Y)^2 +\alpha ^2 + \beta ^2 E(X)^2 - 2\alpha E(Y) - 2\beta E(XY) + 2 \alpha \beta E(X)$\\
\item First order Conditions:\\
\bigskip
$\frac{\partial S}{\partial \alpha} = 2\alpha - 2 E(Y) + 2\beta E(X)=0$
$\frac{d S}{d \beta} = 2\beta E(X)^2 - 2 E(XY) + 2 \alpha E(X)=0$
\item Solving the above equations simultaneously for $\alpha$ and $\beta$ and denoting the optimal values by $\alpha*$ and $\beta*$ , we get,\\
$\beta^* = \frac{Cov(X,Y)}{V(X)}$\\
and \\
$\alpha^* = E(Y) - \frac{Cov(X,Y)}{V(X)} E(X)$
\end{itemize}
\end{frame}
Best Answer
Try this:
As you can see,
align*
works as expected. I made some other changes using\[...\]
for displayed single-line expressions and using\intertext
in the lastalign*
(\shortintertext
from themathtools
package could also have been used and produces better results regarding the vertical space).On a side note, your frame has too much information: either use two frames or pass
[allowframebreaks]
to the frame (as in my example), to have a better spatial distribution.