我刚刚完成了一份需要在午夜前提交的文件，但出于某种原因我无法导出为 PDF。它一直显示这张图片：
我猜是我缺少了某种包裹？
错误日志：
This is LuaTeX, Version beta-0.80.0 (MiKTeX 2.9) (rev 5238) (format=lualatex 2015.10.7) 7 OCT 2015 21:21
**Afleverings_Opgave_2.tex
(./Afleverings_Opgave_2.tex
LaTeX2e <2015/01/01> patch level 2
Babel <3.9m> and hyphenation patterns for 69 languages loaded.
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File: size10.clo 2014/09/29 v1.4h Standard LaTeX file (size option)
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Package: fontenc 2005/09/27 v1.99g Standard LaTeX package
! Package fontenc Error: Encoding file `15enc.def' not found.
(fontenc) You might have misspelt the name of the encoding.
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l.104 \ProcessOptions*
Necessary code for this encoding was not loaded.
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! LaTeX Error: Encoding scheme `15' unknown.
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l.105 \fontencoding\encodingdefault
\selectfont
Your command was ignored.
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Package: ifluatex 2010/03/01 v1.3 Provides the ifluatex switch (HO)
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Package: luatexbase-regs 2011/05/24 v0.4 Registers allocation for LuaTeX
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Now handling font encoding OT1 ...
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Package: babel 2015/08/03 3.9m The Babel package
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luatex-hyphen: using data file: C:/ProgramData/MiKTeX/2.9/tex/generic/config/lan
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\l@canadian = a dialect from \language\l@american
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No file Afleverings_Opgave_2.aux.
\openout1 = Afleverings_Opgave_2.aux
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! LaTeX Error: Encoding scheme `15' unknown.
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l.9 \begin{document}
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! LaTeX Error: Encoding scheme `15' unknown.
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l.64 \item C
entrum -2,6 og radius = $|AB|=\sqrt{74}$
Your command was ignored.
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or <return> to continue without it.
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Type H <return> for immediate help.
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l.64 \item C
entrum -2,6 og radius = $|AB|=\sqrt{74}$
Your command was ignored.
Type I <command> <return> to replace it with another command,
or <return> to continue without it.
[1
{C:/Users/Vipar/AppData/Local/MiKTeX/2.9/pdftex/config/pdftex.map}]
! LaTeX Error: Encoding scheme `15' unknown.
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Type H <return> for immediate help.
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l.105 ... $r=\sqrt{56}\approx7,48331$\end{enumerate}
Your command was ignored.
Type I <command> <return> to replace it with another command,
or <return> to continue without it.
! LaTeX Error: Encoding scheme `15' unknown.
See the LaTeX manual or LaTeX Companion for explanation.
Type H <return> for immediate help.
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l.105 ... $r=\sqrt{56}\approx7,48331$\end{enumerate}
Your command was ignored.
Type I <command> <return> to replace it with another command,
or <return> to continue without it.
[2]
! LaTeX Error: Encoding scheme `15' unknown.
See the LaTeX manual or LaTeX Companion for explanation.
Type H <return> for immediate help.
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l.107 \end{document}
Your command was ignored.
Type I <command> <return> to replace it with another command,
or <return> to continue without it.
! LaTeX Error: Encoding scheme `15' unknown.
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Type H <return> for immediate help.
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l.107 \end{document}
Your command was ignored.
Type I <command> <return> to replace it with another command,
or <return> to continue without it.
[3] (./Afleverings_Opgave_2.aux))
Here is how much of LuaTeX's memory you used:
1478 strings out of 494701
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Output written on Afleverings_Opgave_2.pdf (3 pages, 119390 bytes).
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这是我使用的 TeX 格式的 LyX 文档的导出版本：
%% LyX 2.1.3 created this file. For more info, see http://www.lyx.org/.
%% Do not edit unless you really know what you are doing.
\documentclass[english]{article}
\usepackage[15]{fontenc}
\usepackage[latin9]{inputenc}
\usepackage{babel}
\begin{document}
\title{Afleveringsopgave 2}
\author{omitted}
\maketitle
1) Lad der været givet to vektorer i planen, $\vec{a}=({3\atop 8})$
og $\vec{b}=({1\atop 6})$
\begin{enumerate}
\item Beregn $\vec{a}*\vec{b}$
\begin{enumerate}
\item $(3*1)+(8*6)=51$
\end{enumerate}
\item Beregn vinklen mellem $\vec{a}$ og $\vec{b}$
\begin{enumerate}
\item $cos(v)=\frac{51}{\sqrt{3^{2}+8^{2}}*\sqrt{1^{2}+6^{2}}}=\frac{51}{\sqrt{2701}}$
\item $cos^{-1}(\frac{51}{\sqrt{2701}})\approx11,0937$
\item $180-11,0937\approx168,906$
\end{enumerate}
\item Beregn $\vec{a_{b}}$
\begin{enumerate}
\item $\vec{a_{b}}=\frac{({3\atop 8})*({4\atop 6})}{8^{2}+6^{2}}*({1\atop 6})=\frac{60}{100}*({1\atop 6})=({0,6\atop 3,6})$
\end{enumerate}
\end{enumerate}
2) Lad der i planen være givet punkterne $A(-2,6)$ og $B(5,1)$
\begin{enumerate}
\item Bestem en ligning (på formen $ax+by+c=0$) for linjen, som går gennem
punktet $P(1,1)$ og har $\vec{AB}$ som normalvektor.
\begin{enumerate}
\item $\vec{AB}=\vec{n}$
\item $\vec{n}=[{5-(-2)\atop 1-6}]=[{7\atop -5}]$
\item $7(x-1)-5(y-1)=0$
\item $7x-7-5y-5=0$
\item $7x-5y-12=0$
\end{enumerate}
\item Bestem en ligning (på formen $ax+by+c=0$) for linjen, som går gennem
punktet $Q(2,-3)$ og har$\vec{AB}$ som retningsvektor.
\begin{enumerate}
\item $\vec{r}=\vec{AB}=[{7\atop -5}]$
\item $\vec{n}=[{5\atop 7}]$
\item $5(x-2)+7(y-(-3))=0$
\item $5x-10+7y-(-21)=0$
\item $5x+7y+11=0$
\end{enumerate}
\item Bestem en ligning for den cirkel, som har centrum i punktet A og har
radius = $|AB|$
\begin{enumerate}
\item Centrum -2,6 og radius = $|AB|=\sqrt{74}$
\item $r=\sqrt{(5-(-2))^{2}+(1-6)^{2}}=\sqrt{74}$
\item $(x-(-2))^{2}+(y-6)^{2}\approx8,60233^{2}$
\item $(x+2)^{2}+(y-6)^{2}=74$
\end{enumerate}
\end{enumerate}
3) Lad der i planen være givet punkterne P(7,2) og Q(1,3)
\begin{enumerate}
\item Beregn vinklen mellem $\vec{PQ}$ og x-aksen
\begin{enumerate}
\item $\vec{x}=[{1\atop 0}]$
\item $\vec{PQ}=[{1-7\atop 3-2}]=[{-6\atop 1}]$
\item $cos(v)=\frac{[{-6*1\atop 1*0}]}{\sqrt{(-6)^{2}+1^{2}}*\sqrt{1^{2}+0^{2}}}=\frac{-5}{\sqrt{37}}$
\item $cos^{-1}(\frac{-5}{\sqrt{37}})\approx145,285$
\item $180-145,285=34,715$
\end{enumerate}
\item Beregn midtpunktet af linjestykket PQ
\begin{enumerate}
\item $M=(\frac{7+1}{2},\frac{2+3}{2})=(4,2.5)$
\end{enumerate}
\end{enumerate}
5) Bestem tallet t, således at vektorene $\vec{a}=({t+1\atop 4})$
og $\vec{b}=({t^{2}-2t\atop -t})$ er ortogonale.
\begin{enumerate}
\item $({t+1\atop 4})*({t^{2}-2t\atop -t})=0$
\item $t^{3}-2t+t^{2}-2t-4t=0$
\item $t^{3}-t^{2}-6t=0$
\item $t*(t^{2}-t-6)=0$
\item $t=0$
\item $t^{2}-t-6=0$
\item $1t^{2}-1t-6=0$
\item $d=(-1)^{2}-4*1*(-6)=25$
\item $t=\frac{-(-1)\pm\sqrt{25}}{2*1}=\{{3\atop -2}$
\item Løsnigen er enten 3 eller -2.
\end{enumerate}
6) Bestem centrum og radius for cirklen $x^{2}+y^{2}-16x+12y-44=0$
\begin{enumerate}
\item $(x-8)^{2}+(y+6)^{2}+44=0$
\item $(-44)+6^{2}+8^{2}=56$
\item Centrum (8,-6) og $r=\sqrt{56}\approx7,48331$\end{enumerate}
\end{document}
还附上了我的文件作为Dropbox 链接如果你想看看它。
希望你们能帮助我！:)
答案1
在“文档”>“设置”>“字体”下，将 LaTeX 字体编码从“自定义”更改为“默认”：
不存在15字体编码，因此未发现错误15enc.def。我假设您不需要任何特殊的字体编码。