在投影機中使用 \vspace inside \itemize 時間距不均勻

Question 1

\documentclass[11pt]{beamer}
\usepackage[T1]{fontenc}
\usepackage{tgpagella}
\usetheme{Warsaw}

\begin{document}
    \begin{frame}{Proof 2: Symmetry Preserving Maps}
        \begin{itemize}[<+->]\setlength\itemsep{3ex}
            \item  $\mathbb{Z}_2$ symmetry on $\mathbb{R}$: $x\longleftrightarrow -x$ 
            \item $\mathbb{Z}_2$ symmetry on $S^d$: $x\longleftrightarrow -x$ 
            \item $f_i:S^d\to \mathbb{R}$ given by $x\mapsto\mu_i(H^+(x))-\mu_i(H^-(x))$
            \item $f_i(-x) = \mu(H^+(-x))-\mu(H^-(-x)) = \mu(H^-(x))-\mu(H^+(x)) = -f_i(x)$
            \item $F:S^d\to\mathbb{R}^d$ given by $x\mapsto(f_1,f_2,\cdots,f_d)$
            \item $F(-x) = -F(x)$
        \end{itemize}
    \end{frame}

\end{document}

Answer

\documentclass[11pt]{beamer}
\usepackage[T1]{fontenc}
\usepackage{tgpagella}
\usetheme{Warsaw}

\begin{document}
    \begin{frame}{Proof 2: Symmetry Preserving Maps}
        \begin{itemize}[<+->]\setlength\itemsep{3ex}
            \item  $\mathbb{Z}_2$ symmetry on $\mathbb{R}$: $x\longleftrightarrow -x$ 
            \item $\mathbb{Z}_2$ symmetry on $S^d$: $x\longleftrightarrow -x$ 
            \item $f_i:S^d\to \mathbb{R}$ given by $x\mapsto\mu_i(H^+(x))-\mu_i(H^-(x))$
            \item $f_i(-x) = \mu(H^+(-x))-\mu(H^-(-x)) = \mu(H^-(x))-\mu(H^+(x)) = -f_i(x)$
            \item $F:S^d\to\mathbb{R}^d$ given by $x\mapsto(f_1,f_2,\cdots,f_d)$
            \item $F(-x) = -F(x)$
        \end{itemize}
    \end{frame}

\end{document}

Question 2

這是由於意外的雜散空間而導致的典型問題。

$較長的行幾乎在可用空間的邊界處結束，並且在 last和之間有一個空格（由於輸入中的行尾）\vspace。因此，該段落由兩行組成，其中第二行僅包含\vspace.

當\vspace以 LR 模式發出時（即，當正在形成段落時），它會在段落中插入一個不可見的項目。最好的處理方式\vspace就是發出之間段落。

\documentclass{beamer}
\usetheme{Madrid}
\usepackage[utf8]{inputenc}
\usepackage{color}
\usepackage{mathtools}
\usepackage{multicol}
\usepackage{amsmath}
\usepackage[makeroom]{cancel}
\setlength{\columnsep}{1cm}
\DeclarePairedDelimiter\floor{\lfloor}{\rfloor}

\begin{document}

\begin{frame}{Proof 2: Symmetry Preserving Maps}
\begin{itemize}
    \item  $\mathbb{Z}_2$ symmetry on $\mathbb{R}$: $x\longleftrightarrow -x$ 

    \vspace{.5cm}
    \pause
    \item $\mathbb{Z}_2$ symmetry on $S^d$: $x\longleftrightarrow -x$ 

    \vspace{.5cm}
    \pause
    \item $f_i:S^d\to \mathbb{R}$ given by $x\mapsto\mu_i(H^+(x))-\mu_i(H^-(x))$

    \vspace{.5cm}
    \pause
    \item $f_i(-x) = \mu(H^+(-x))-\mu(H^-(-x)) = \mu(H^-(x))-\mu(H^+(x)) = -f_i(x)$

    \vspace{.5cm}
    \pause
    \item $F:S^d\to\mathbb{R}^d$ given by $x\mapsto(f_1,f_2,\cdots,f_d)$

    \vspace{.5cm}
    \pause
    \item $F(-x) = -F(x)$
\end{itemize}
\end{frame}
\end{document}

然而，最好使用可用的工具，而不是像赫伯特的回答那樣依賴手動間距。

我認為beamer還應該有一個用於設定清單相關參數的範本。

\documentclass{beamer}
\usetheme{Madrid}
\usepackage[utf8]{inputenc}
\usepackage{color}
\usepackage{mathtools}
\usepackage{multicol}
\usepackage{amsmath}
\usepackage[makeroom]{cancel}
\usepackage{xpatch}
\setlength{\columnsep}{1cm}
\DeclarePairedDelimiter\floor{\lfloor}{\rfloor}

\xpatchcmd{\itemize}
  {\def\makelabel}
  {\usebeamertemplate{itemize body}\def\makelabel}
  {}{}

\defbeamertemplate*{itemize body}{default}{} % default is doing nothing

\setbeamertemplate{itemize body}{%
  \setlength{\itemsep}{0.5cm}%
}

\begin{document}

\begin{frame}
\frametitle{Proof 2: Symmetry Preserving Maps}

\begin{itemize}[<+->]
    \item  $\mathbb{Z}_2$ symmetry on $\mathbb{R}$: $x\longleftrightarrow -x$ 

    \item $\mathbb{Z}_2$ symmetry on $S^d$: $x\longleftrightarrow -x$ 

    \item $f_i:S^d\to \mathbb{R}$ given by $x\mapsto\mu_i(H^+(x))-\mu_i(H^-(x))$

    \item $f_i(-x) = \mu(H^+(-x))-\mu(H^-(-x)) = \mu(H^-(x))-\mu(H^+(x)) = -f_i(x)$

    \item $F:S^d\to\mathbb{R}^d$ given by $x\mapsto(f_1,f_2,\cdots,f_d)$

    \item $F(-x) = -F(x)$
\end{itemize}
\end{frame}

\end{document}

輸出是相同的。

Answer