答案1
如果您打算仅在文本样式和显示样式中使用它(即没有脚本样式),那么您可以定义:
\def\E{{\rm E}\mkern-8mu\raise.42ex\hbox{$\scriptstyle\circ$}
答案2
这是可以在各种字体大小下良好缩放的版本。
\documentclass{article}
\usepackage{amsmath,amssymb}
\usepackage{graphicx}
\DeclareMathOperator*{\argmin}{arg\,min}
\DeclareMathOperator{\EX}{\mathbb{E}}
\makeatletter
% helper command
\newcommand{\srcirc@}[1]{% small raised circ
\sbox\z@{$#1\mathrm{E}$}%
\vbox to\ht\z@{%
\vskip 0pt plus 1.15fil
\hbox{\scalebox{0.85}{$\m@th#1\circ$}}%
\vfil
}%
}
\DeclareRobustCommand{\Ecirc}{{\mathpalette\Ecirc@\relax}}
\newcommand{\Ecirc@}[2]{%
\ooalign{$\m@th#1\mathrm{E}$\cr\hfil\srcirc@{#1}\cr}%
}
\makeatother
\begin{document}
\[
\Ecirc \scriptstyle \Ecirc \text{\LARGE$\Ecirc$}
\]
\[
\mu_a=\Ecirc Y(a)=\argmin_{v\in\mathcal{W}_2(\mathcal{I})}\EX\{W_2^2(Y(a),v)\},
\qquad a=0,1
\]
\end{document}