我怎样才能缩小对齐环境中的方程式?
这是我的 MWE
\documentclass[11pt,a4paper]{article}
\usepackage[hmargin=2.5cm,vmargin=1cm]{geometry}
\usepackage{amsmath}
\usepackage{mathtools}
\begin{document}
% First Math Setup
\begin{align}
\max_{\Delta_{t} } \mathbb{E}_{0} \sum_{t=0}^{\infty} & \beta^{t+1} E_{t}[\log R_{x_{it+1}}] \label{ramsey_max_prob}\\
\text{s.t} \nonumber \\
E_{t} \bigg[ R^{-1}_{ix_{t+1}}(1 +(1- & \tau^k_{t+1})F_k(\theta^k_{t+1},\theta^h_{t+1}) - \delta)\bigg] = \nonumber \\
E_{t} \bigg[ R^{-1}_{ix_{t+1}} (1 +(1-& \tau^w_{t+1})F_h(\theta^k_{t+1},\theta^h_{t+1}) - \delta+ \eta^i_{t+1}) \bigg] \qquad \forall t \label{con2} \\[5 mm]
E_{t} \bigg[ R^{-1}_{ix_{t+1}}(1 +(1- \tau^k_{t+1})F_k(\theta^k_{t+1},\theta^h_{t+1}) - \delta)\bigg] & = E_{t} \left[ R^{-1}_{ix_{t+1}} \right] R^f_{t} \qquad \forall t \label{con4} \\
\text{Financial markets clearing:} \qquad & \phi_{t+1} + \theta^k_{t+1} + \theta^h_{t+1} = 1 \qquad \forall t \label{con5}\\
\text{Budget Constraint:} \qquad & \phi_{t+1}\beta R_{x_t} \leq R^f_{t-1}\phi_{t} + g_{t} -\tau^k_{t}F_{k}\theta^k_{t} -\tau^w_{t}F_{H}\theta^h_{t} \label{con6} \\
\text{\textit{Ad hoc} borrowing constraint} \qquad & \underline{\mathcal{B}} \leq R^f_{t}\phi_{t+1}\leq \overline{\mathcal{B}} \label{con7}
\end{align}
% Second math setup
\begin{align}
\mathcal{SL}_{k} \equiv \Psi_{2} \left(\mathrm{Cov}( m^i_{t+1},F_{k_{t+1}}) + \mathrm{Cov}( \frac{ \partial m^i_{t+1}}{\partial \tau^k_{t+1}},\mathcal{\tilde{P}}^K_{t+1}) \right) - \Psi_{1} \left(\mathrm{Cov}( m^i_{t+1},F_{k_{t+1}}) - \mathrm{Cov}( \frac{ \partial m^i_{t+1}}{\partial \tau^k_{t+1}},\mathcal{\tilde{P}}^H_{t+1}) \right)
\end{align}
\end{document}
对于我正在使用的文档类来说,这些方程式看起来相对较大,我想知道是否可以缩小它们。
答案1
请不要缩小公式。只需将它们更好地分布在各个行上,正如此 stack-exchange 中多次显示的那样:
% arara: pdflatex
\documentclass[11pt,a4paper]{article}
\usepackage[hmargin=2.5cm,vmargin=1cm]{geometry}
\usepackage{mathtools}
\usepackage{amsfonts}
\DeclareMathOperator{\cov}{Cov}
\begin{document}
\begin{gather}
\max_{\Delta_{t} } \mathbb{E}_{0} \sum_{t=0}^{\infty} \beta^{t+1} E_{t}[\log R_{x_{it+1}}] \label{ramsey_max_prob}\\
\shortintertext{s.t}
\begin{split}
E_{t} \bigg[ R^{-1}_{ix_{t+1}}&(1 +(1- \tau^k_{t+1})F_k(\theta^k_{t+1},\theta^h_{t+1}) - \delta)\bigg] = \\
&E_{t} \bigg[ R^{-1}_{ix_{t+1}} (1 +(1- \tau^w_{t+1})F_h(\theta^k_{t+1},\theta^h_{t+1}) - \delta+ \eta^i_{t+1}) \bigg] \qquad \forall t \label{con2}
\end{split}\\
E_{t} \bigg[ R^{-1}_{ix_{t+1}}(1 +(1- \tau^k_{t+1})F_k(\theta^k_{t+1},\theta^h_{t+1}) - \delta)\bigg] = E_{t} \left[ R^{-1}_{ix_{t+1}} \right] R^f_{t} \qquad \forall t \label{con4}
\end{gather}
\begin{align}
\text{Financial markets clearing:} \qquad & \phi_{t+1} + \theta^k_{t+1} + \theta^h_{t+1} = 1 \qquad \forall t \label{con5}\\
\text{Budget Constraint:} \qquad & \phi_{t+1}\beta R_{x_t} \leq R^f_{t-1}\phi_{t} + g_{t} -\tau^k_{t}F_{k}\theta^k_{t} -\tau^w_{t}F_{H}\theta^h_{t} \label{con6} \\
\text{\textit{Ad hoc} borrowing constraint:} \qquad & \underline{\mathcal{B}} \leq R^f_{t}\phi_{t+1}\leq \overline{\mathcal{B}} \label{con7}
\end{align}
\begin{equation}
\begin{split}
\mathcal{SL}_{k} &\equiv \Psi_{2} \biggl[\cov( m^i_{t+1},F_{k_{t+1}}) + \cov\biggl( \frac{ \partial m^i_{t+1}}{\partial \tau^k_{t+1}},\mathcal{\tilde{P}}^K_{t+1}\biggr) \biggr] \\
&\quad - \Psi_{1} \biggl[\cov( m^i_{t+1},F_{k_{t+1}}) - \cov\biggl( \frac{ \partial m^i_{t+1}}{\partial \tau^k_{t+1}},\mathcal{\tilde{P}}^H_{t+1}\biggr) \biggr]
\end{split}
\end{equation}
\end{document}