
當我使用下面的 MME 建立 PDF 時,投影片的行為很奇怪。當每條線顯示出來時,整個幻燈片都會移動,使上部部分看不見。我不確定發生了什麼事。我不認為幻燈片太擁擠,因為即使在後來的一些空得多的幻燈片上也會發生這種情況。
我在日誌中沒有收到任何警告或錯誤。
任何幫助表示讚賞。
編輯:我發現這個問題僅在我編譯幻燈片然後查看簡報時才存在。如果我從 Windows 資源管理器開啟 PDF,一切都很好。
\documentclass {beamer} {
\mode<presentation> {
%\usetheme{Goettingen}
% or ...
\setbeamercovered{transparent}
% or whatever (possibly just delete it)
\usecolortheme{albatross}
\usecolortheme{sidebartab}
\useoutertheme{split}
}
\usepackage{natbib}
\usepackage[english]{babel}
% or whatever
\usepackage[latin1]{inputenc}
% or whatever
\usepackage{booktabs}
\usepackage{url}
\usepackage{times}
\usepackage[T1]{fontenc}
% Or whatever. Note that the encoding and the font should match. If T1
% does not look nice, try deleting the line with the fontenc.
\setbeamercolor{navigation symbols}{fg = white, bg = white}
\setbeamercolor{description item}{fg = red, bg = blue}
\AtBeginSection {
\begin{frame}<beamer>
\frametitle{Outline}
\tableofcontents[currentsection]
\end{frame}
}
\title[] % (optional, use only with long paper titles)
{Slowly Diverging Series }
\author{Peter L. Flom }
% - Use the \inst{?} command only if the authors have different
% affiliation.
\institute[] % (optional, but mostly needed)
{}
\date[May 2022] % (optional)
{Math for Math's Sake}
\subject{Talks}
% This is only inserted into the PDF information catalog. Can be left
% out.
% If you wish to uncover everything in a step-wise fashion, uncomment
% the following command:
\beamerdefaultoverlayspecification{<+->}
\setbeamertemplate{footline}[frame number]
\begin{document}
\begin{frame}
\titlepage
\end{frame}
\begin{frame}
\frametitle{Outline}
\tableofcontents[pausesections]
% You might wish to add the option [pausesections]
\end{frame}
\section{Introduction}
\begin{frame}
\frametitle{Introduction}
\begin{itemize}
\item Infinite series can either diverge, converge, or be indeterminate. Many divergent series diverge very quickly, or at a constant rate.
\item Some series diverge slowly. The most famous of these is surely the harmonic series:
$ \sum_{x=1}^{\infty} \frac{1}{x} = 1 + 1/2 + 1/3 + \dots$
\item After 1000 terms, it is only about 7.85.
\item But are there series that diverge even more slowly?
\item Indeed there are!
\end{itemize}
\end{frame}
\section{Proofs of divergence}
\begin{frame}
\frametitle{The elementary proof}
\begin{itemize}
\item 1 is equal to 1
\item 1/2 is equal to 1/2
\item 1/3 + 1/4 is greater than 1/2, because $1/4 + 1/4 = 1/2 \text{ and } 1/3 > 1/4$
\item 1/5 + 1/6 + 1/7 + 1/8 is greater than 1/2, because $1/8 + 1/8 + 1/8 + 1/8 = 1/2$ and the other fractions are all greater than 1/8.
\item and so on. We just need twice as many terms in each successive sum. But we have an infinite number of terms, to that is not a problem.
\end{itemize}
\end{frame}
\end{document}