\documentclass{beamer}
\usepackage{tikz}
\usepackage{amsmath}
\usetheme{Madrid}
\logo{%
\includegraphics[width=1cm,height=1.5cm,keepaspectratio]{example-image-a}%
\hspace{\dimexpr\paperwidth-2cm-5pt}%
\includegraphics[width=1cm,height=1cm,keepaspectratio]{example-image-b}%
}
\begin{document}
\begin{frame}
\frametitle{Equation}
\begin{exampleblock}{}
\[
\min_{\mu_{i},c_{i},w_{ij},\mathcal{A}}\quad \sum_{i}^{N}\varphi_{i}(\mu_{i}) + \lvert\mathcal{A}\rvert P_{f} + \frac{1}{\eta}\sum_{i = 1}^{N}\sum_{j\in{A}}w_{ij}^{H}w_{ij}
\]
\end{exampleblock}
subject to
\begin{exampleblock}{}
\[
\frac{1}{\mu_{i}- \lambda_{i}} + \frac{1}{c_{i} - \lambda_{i}}\leq\tau_{i}
\]
\[
\lambda_{i} < \mu_{i},\lambda_{i}<c_{i}
% 4545
\]
\[
c_i{i} \leq B_{i}\log(1+\text{SINR}_{i}(\mathcal{A}))
\]
\[
\sum_{i=1}^{N}w_{ij}^{H}w_{ij}\leq E_{i},\quad \forall i\in \mathcal{N}, \quad \forall j\in \mathcal{L}
\]
\end{exampleblock}
\begin{itemize}
%symbol's used in the equation meaning
\item $\varphi_{i}(\mu_{i})$\quad VM $i$'s power consumption
\item $\mu_{i}$\qquad VM $i$'s computation capacity/service rate/processing rate
\item $P_{f}$\qquad power consumption active fibre links
\item $\eta\in(0,1)$\quad ineffficiency coefficient amplifier in RRH
\item $\mathcal{A}$\qquad set of active RRHs
\item $w_{ij}\in\mathbb{C}^{k}$\quad transmit beamformer for UE $i$ from RRH $j$
\item $i\in\mathcal{N}$
\item $j\in\mathcal{A}$
\end{itemize}
\end{frame}
\end{document}
答案1
幻灯片中有很多浪费的空间,居中的数学公式占据了整个幻灯片的宽度。我会将数学公式放在一列,将变量列表放在另一列,然后缩小变量列表的大小。
仅使用列代码,幻灯片顶部和第一个块中都会有一些额外的垂直空间。我不确定这是从哪里来的。我添加了一些手动负空间,这样左侧徽标就不会被遮住。
\documentclass{beamer}
\usepackage{tikz}
\usepackage{amsmath}
\usetheme{Madrid}
\logo{%
\includegraphics[width=1cm,height=1.5cm,keepaspectratio]{example-image-a}%
\hspace{\dimexpr\paperwidth-2cm-5pt}%
\includegraphics[width=1cm,height=1cm,keepaspectratio]{example-image-b}%
}
\begin{document}
\begin{frame}
\frametitle{Equation}
\vspace*{-2.5\baselineskip}
\begin{columns}[t]
\begin{column}{.62\linewidth}
\begin{exampleblock}{}%
\vspace*{-\baselineskip}\[
\min_{\mu_{i},c_{i},w_{ij},\mathcal{A}}\quad \sum_{i}^{N}\varphi_{i}(\mu_{i}) + \lvert\mathcal{A}\rvert P_{f} + \frac{1}{\eta}\sum_{i = 1}^{N}\sum_{j\in{A}}w_{ij}^{H}w_{ij}
\]
\end{exampleblock}
subject to
\begin{exampleblock}{}%
\[
\frac{1}{\mu_{i}- \lambda_{i}} + \frac{1}{c_{i} - \lambda_{i}}\leq\tau_{i}
\]
\[
\lambda_{i} < \mu_{i},\lambda_{i}<c_{i}
% 4545
\]
\[
c_i{i} \leq B_{i}\log(1+\text{SINR}_{i}(\mathcal{A}))
\]
\[
\sum_{i=1}^{N}w_{ij}^{H}w_{ij}\leq E_{i},\quad \forall i\in \mathcal{N}, \quad \forall j\in \mathcal{L}
\]
\end{exampleblock}
\end{column}
\begin{column}{.38\linewidth}
\footnotesize\raggedright
\begin{itemize}
%symbol's used in the equation meaning
\item $\varphi_{i}(\mu_{i})$\quad VM $i$'s power consumption
\item $\mu_{i}$\qquad VM $i$'s computation capacity/service rate/processing rate
\item $P_{f}$\qquad power consumption active fibre links
\item $\eta\in(0,1)$\quad ineffficiency coefficient amplifier in RRH
\item $\mathcal{A}$\qquad set of active RRHs
\item $w_{ij}\in\mathbb{C}^{k}$\quad transmit beamformer for UE $i$ from RRH $j$
\item $i\in\mathcal{N}$
\item $j\in\mathcal{A}$
\end{itemize}
\end{column}
\end{columns}
\end{frame}
\end{document}