還是不懂橡膠長度

還是不懂橡膠長度
\documentclass[12pt,oneside]{article}
\usepackage{libertine}
\usepackage{amsthm}
\usepackage[libertine]{newtxmath}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{mathtools}
\usepackage{commath}
\usepackage{bm}
\usepackage{xpatch}

\xapptocmd\normalsize{%
 \abovedisplayskip=12pt plus 3pt minus 9pt
 \abovedisplayshortskip=0pt plus 3pt
 \belowdisplayskip=3ex plus 3pt minus 9pt
 \belowdisplayshortskip=5ex plus 3pt minus 4pt
}{}{}

\newtheoremstyle{definitionstyle}  % <name>
        {3ex}                   % <space above>
        {2ex}                   % <space below>
        {\normalfont}           % <body font>
        {}                      % <indent amount}
        {\bfseries}             % <theorem head font>
        {\normalfont\bfseries:} % <punctuation after theorem head>
        {.5em}                  % <space after theorem head>
        {}                      % <theorem head spec (can be left empty, meaning "normal")>
\theoremstyle{definitionstyle}

\newtheorem{definition}{Definition}[section] % Comment out [section] to remove section number dependence

\begin{document}

\begin{definition}
\textit{Displacement} is a vector measure (it has both magnitude and direction) of the interval between two locations measured along the shortest path connecting them.
\textit{Distance,} or distance traveled, is a scalar measure (an absolute value) of the interval between two locations measured along the actual path connecting them.
\end{definition}

\begin{definition}
\textit{Instant velocity,} or velocity, of an object is the rate of change of its displacement \textit{with respect to} time:
\end{definition}
\begin{equation}
\bm{v} = \lim_{\Delta t \to 0} \frac{\bm{r}(t+\Delta t) - \bm{r}(t)}{\Delta t}=\lim_{\Delta t \to 0}\frac{\Delta \bm{r}}{\Delta t}=\frac{\dif\bm{r}}{\dif t}=\dot{\bm{r}}
\end{equation}

\textit{Instant speed,} or speed, is the rate of change of distance with respect to time:
\[\envert{\bm{v}} = v = \lim_{\Delta t \to 0} \frac{\Delta s}{\Delta t} = \frac{\dif s}{\dif t} = \dot{s}\]

\begin{definition}
\textit{Instant acceleration,} or acceleration, is the rate of change of velocity with respect to time:
\end{definition}

\end{document}

儘管有類似的問題,我仍然不完全理解這些間距作為一個整體是如何運作的(組合時)。上面的程式碼產生: 在此輸入影像描述

對於definitionstyle數學相關的間距(abovedisplayskip等)中的間距值,LaTeX 引擎到底是如何進行計算的?因此,比如說,如果我希望影像中的所有垂直間距(彩色框)都相等,我該如何進行計算才能達到所需的效果?

答案1

橡膠長度與此無關,因為頁面既不拉伸也不收縮。

讓我們嘗試將equation環境放置在definition它所屬的地方。

\documentclass[12pt,oneside]{article}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}

\usepackage{amsthm}
\usepackage{mathtools}
\usepackage{commath} % don't use it, it's full of bugs
\usepackage{bm}
\usepackage{xpatch}

\usepackage{libertine}
\usepackage[libertine]{newtxmath}

\xapptocmd\normalsize{%
 \abovedisplayskip=12pt plus 3pt minus 9pt
 \abovedisplayshortskip=0pt plus 3pt
 \belowdisplayskip=3ex plus 3pt minus 9pt
 \belowdisplayshortskip=5ex plus 3pt minus 4pt
}{}{}

\newtheoremstyle{definitionstyle}  % <name>
        {3ex}                   % <space above>
        {2ex}                   % <space below>
        {\normalfont}           % <body font>
        {}                      % <indent amount}
        {\bfseries}             % <theorem head font>
        {\normalfont\bfseries:} % <punctuation after theorem head>
        {.5em}                  % <space after theorem head>
        {}                      % <theorem head spec (can be left empty, meaning "normal")>
\theoremstyle{definitionstyle}

\newtheorem{definition}{Definition}[section] % Comment out [section] to remove section number dependence

\begin{document}

\begin{definition}
\textit{Displacement} is a vector measure (it has both magnitude and direction) of the interval between two locations measured along the shortest path connecting them.
\textit{Distance,} or distance traveled, is a scalar measure (an absolute value) of the interval between two locations measured along the actual path connecting them.
\end{definition}

\begin{definition}
\textit{Instant velocity,} or velocity, of an object is the rate of change of its displacement \textit{with respect to} time:
\begin{equation}
\bm{v} = \lim_{\Delta t \to 0} \frac{\bm{r}(t+\Delta t) - \bm{r}(t)}{\Delta t}=\lim_{\Delta t \to 0}\frac{\Delta \bm{r}}{\Delta t}=\frac{\dif\bm{r}}{\dif t}=\dot{\bm{r}}
\end{equation}
\end{definition}

\textit{Instant speed,} or speed, is the rate of change of distance with respect to time:
\[\envert{\bm{v}} = v = \lim_{\Delta t \to 0} \frac{\Delta s}{\Delta t} = \frac{\dif s}{\dif t} = \dot{s}\]

\begin{definition}
\textit{Instant acceleration,} or acceleration, is the rate of change of velocity with respect to time:
\end{definition}

\end{document}

在此輸入影像描述

如果我還更改您設定的各種間距,如下所示

\documentclass[12pt,oneside]{article}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}

\usepackage{amsthm}
\usepackage{mathtools}
\usepackage{bm}
\usepackage{xpatch}

\usepackage{libertine}
\usepackage[libertine]{newtxmath}

\xapptocmd\normalsize{%
 \abovedisplayskip=12pt plus 3pt minus 9pt
 \abovedisplayshortskip=0pt plus 3pt
 \belowdisplayskip=12pt plus 3pt minus 9pt
 \belowdisplayshortskip=12pt plus 3pt minus 4pt
}{}{}

\newcommand{\dif}{\mathop{}\!\mathrm{d}}

\newtheoremstyle{definitionstyle}  % <name>
        {12pt}                  % <space above>
        {12pt}                  % <space below>
        {\normalfont}           % <body font>
        {}                      % <indent amount}
        {\bfseries}             % <theorem head font>
        {\normalfont\bfseries:} % <punctuation after theorem head>
        {.5em}                  % <space after theorem head>
        {}                      % <theorem head spec (can be left empty, meaning "normal")>
\theoremstyle{definitionstyle}

\newtheorem{definition}{Definition}[section] % Comment out [section] to remove section number dependence

\begin{document}

\begin{definition}
\textit{Displacement} is a vector measure (it has both magnitude and direction) 
of the interval between two locations measured along the shortest path connecting them.
\textit{Distance,} or distance traveled, is a scalar measure (an absolute value) 
of the interval between two locations measured along the actual path connecting them.
\end{definition}

\begin{definition}
\textit{Instant velocity,} or velocity, of an object is the rate of change of its 
displacement \textit{with respect to} time:
\begin{equation}
\bm{v} = \lim_{\Delta t \to 0} \frac{\bm{r}(t+\Delta t) - 
\bm{r}(t)}{\Delta t}=\lim_{\Delta t \to 0}\frac{\Delta \bm{r}}{\Delta t}=
\frac{\dif\bm{r}}{\dif t}=\dot{\bm{r}}
\end{equation}
\end{definition}

\textit{Instant speed,} or speed, is the rate of change of distance with respect to time:
\[
\lvert\bm{v}\rvert = v = \lim_{\Delta t \to 0} \frac{\Delta s}{\Delta t} = 
\frac{\dif s}{\dif t} = \dot{s}
\]

\begin{definition}
\textit{Instant acceleration,} or acceleration, is the rate of change of velocity 
with respect to time:
\end{definition}

\end{document}

我明白了

在此輸入影像描述

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