这种排列有什么问题？
语境：
首先，对这篇太长的文章表示歉意。
因此，我第一次在 LaTex 文章文档中使用对齐环境，但效果不佳。这是我的文章文档的序言：
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问题
在本文中，我想对齐一些方程式，因此我根据网上的一些指南使用了以下代码：
We can now use the Pythagorean Theorem to find PE in two different equations which utilise $x$ and hence solve for $x$:
\emph{From $\triangle$PEB:}
\begin{align*}
PE &= $\sqrt{BP^2 - x^2}$ \\
&= $\sqrt{10^2 - x^2}$ \\
&= $\sqrt{100 - x^2}$
\end{align*}
然而，我得到的结果是这样的：
并且错误日志似乎也在自我纠正（即，它纠正了某些内容，然后尝试纠正它认为不正确的纠正...你知道吗？只需查看日志:)
! Missing } inserted.
<inserted text>
}
l.65 \end{align*}
I've inserted something that you may have forgotten.
(See the <inserted text> above.)
With luck, this will get me unwedged. But if you
really didn't forget anything, try typing `2' now; then
my insertion and my current dilemma will both disappear.
! Missing $ inserted.
<inserted text>
$
l.65 \end{align*}
I've inserted a begin-math/end-math symbol since I think
you left one out. Proceed, with fingers crossed.
! Missing { inserted.
<inserted text>
{
l.65 \end{align*}
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.
! Extra }, or forgotten $.
<recently read> }
l.65 \end{align*}
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.
! Missing $ inserted.
<inserted text>
$
l.65 \end{align*}
I've inserted a begin-math/end-math symbol since I think
you left one out. Proceed, with fingers crossed.
! Missing } inserted.
<inserted text>
}
l.65 \end{align*}
I've inserted something that you may have forgotten.
(See the <inserted text> above.)
With luck, this will get me unwedged. But if you
really didn't forget anything, try typing `2' now; then
my insertion and my current dilemma will both disappear.
! Missing } inserted.
<inserted text>
}
l.65 \end{align*}
I've inserted something that you may have forgotten.
(See the <inserted text> above.)
With luck, this will get me unwedged. But if you
really didn't forget anything, try typing `2' now; then
my insertion and my current dilemma will both disappear.
! Missing $ inserted.
<inserted text>
$
l.65 \end{align*}
I've inserted a begin-math/end-math symbol since I think
you left one out. Proceed, with fingers crossed.
! Missing { inserted.
<inserted text>
{
l.65 \end{align*}
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.
! Extra }, or forgotten $.
<recently read> }
l.65 \end{align*}
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.
! Missing $ inserted.
<inserted text>
$
l.65 \end{align*}
I've inserted a begin-math/end-math symbol since I think
you left one out. Proceed, with fingers crossed.
! Missing } inserted.
<inserted text>
}
l.65 \end{align*}
I've inserted something that you may have forgotten.
(See the <inserted text> above.)
With luck, this will get me unwedged. But if you
really didn't forget anything, try typing `2' now; then
my insertion and my current dilemma will both disappear.
! Missing } inserted.
<inserted text>
}
l.65 \end{align*}
I've inserted something that you may have forgotten.
(See the <inserted text> above.)
With luck, this will get me unwedged. But if you
really didn't forget anything, try typing `2' now; then
my insertion and my current dilemma will both disappear.
! Missing $ inserted.
<inserted text>
$
l.65 \end{align*}
I've inserted a begin-math/end-math symbol since I think
you left one out. Proceed, with fingers crossed.
! Missing { inserted.
<inserted text>
{
l.65 \end{align*}
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.
! Extra }, or forgotten $.
<recently read> }
l.65 \end{align*}
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.
! Missing $ inserted.
<inserted text>
$
l.65 \end{align*}
I've inserted a begin-math/end-math symbol since I think
you left one out. Proceed, with fingers crossed.
! Missing } inserted.
<inserted text>
}
l.65 \end{align*}
I've inserted something that you may have forgotten.
(See the <inserted text> above.)
With luck, this will get me unwedged. But if you
really didn't forget anything, try typing `2' now; then
my insertion and my current dilemma will both disappear.
! Missing } inserted.
<inserted text>
}
l.65 \end{align*}
I've inserted something that you may have forgotten.
(See the <inserted text> above.)
With luck, this will get me unwedged. But if you
really didn't forget anything, try typing `2' now; then
my insertion and my current dilemma will both disappear.
! Missing $ inserted.
<inserted text>
$
l.65 \end{align*}
I've inserted a begin-math/end-math symbol since I think
you left one out. Proceed, with fingers crossed.
! Extra }, or forgotten $.
<recently read> }
l.65 \end{align*}
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.
! Missing $ inserted.
<inserted text>
$
l.65 \end{align*}
I've inserted a begin-math/end-math symbol since I think
you left one out. Proceed, with fingers crossed.
! Missing \endgroup inserted.
<inserted text>
\endgroup
l.65 \end{align*}
I've inserted something that you may have forgotten.
(See the <inserted text> above.)
With luck, this will get me unwedged. But if you
really didn't forget anything, try typing `2' now; then
my insertion and my current dilemma will both disappear.
! Missing } inserted.
<inserted text>
}
l.65 \end{align*}
I've inserted something that you may have forgotten.
(See the <inserted text> above.)
With luck, this will get me unwedged. But if you
really didn't forget anything, try typing `2' now; then
my insertion and my current dilemma will both disappear.
! Misplaced \omit.
\math@cr@@@ ...@ \@ne \add@amps \maxfields@ \omit
\kern -\alignsep@ \iftag@ ...
l.65 \end{align*}
I expect to see \omit only after tab marks or the \cr of
an alignment. Proceed, and I'll ignore this case.
! Missing { inserted.
<inserted text>
{
l.65 \end{align*}
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.
! Missing } inserted.
<inserted text>
}
l.65 \end{align*}
I've inserted something that you may have forgotten.
(See the <inserted text> above.)
With luck, this will get me unwedged. But if you
really didn't forget anything, try typing `2' now; then
my insertion and my current dilemma will both disappear.
! Missing $ inserted.
<inserted text>
$
l.65 \end{align*}
I've inserted a begin-math/end-math symbol since I think
you left one out. Proceed, with fingers crossed.
! Extra }, or forgotten $.
<recently read> }
l.65 \end{align*}
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.
! Missing $ inserted.
<inserted text>
$
l.65 \end{align*}
I've inserted a begin-math/end-math symbol since I think
you left one out. Proceed, with fingers crossed.
! Missing \endgroup inserted.
<inserted text>
\endgroup
l.65 \end{align*}
I've inserted something that you may have forgotten.
(See the <inserted text> above.)
With luck, this will get me unwedged. But if you
really didn't forget anything, try typing `2' now; then
my insertion and my current dilemma will both disappear.
! Missing } inserted.
<inserted text>
}
l.65 \end{align*}
I've inserted something that you may have forgotten.
(See the <inserted text> above.)
With luck, this will get me unwedged. But if you
really didn't forget anything, try typing `2' now; then
my insertion and my current dilemma will both disappear.
! Misplaced \omit.
\math@cr@@@ ...@ \@ne \add@amps \maxfields@ \omit
\kern -\alignsep@ \iftag@ ...
l.65 \end{align*}
I expect to see \omit only after tab marks or the \cr of
an alignment. Proceed, and I'll ignore this case.
! Missing { inserted.
<inserted text>
{
l.65 \end{align*}
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.
! Missing } inserted.
<inserted text>
}
l.65 \end{align*}
I've inserted something that you may have forgotten.
(See the <inserted text> above.)
With luck, this will get me unwedged. But if you
really didn't forget anything, try typing `2' now; then
my insertion and my current dilemma will both disappear.
! Missing $ inserted.
<inserted text>
$
l.65 \end{align*}
I've inserted a begin-math/end-math symbol since I think
you left one out. Proceed, with fingers crossed.
! Extra }, or forgotten $.
<recently read> }
l.65 \end{align*}
I've deleted a group-closing symbol because it seems to be
spurious, as in `$x}$'. But perhaps the } is legitimate and
you forgot something else, as in `\hbox{$x}'. In such cases
the way to recover is to insert both the forgotten and the
deleted material, e.g., by typing `I$}'.
! Missing $ inserted.
<inserted text>
$
l.65 \end{align*}
I've inserted a begin-math/end-math symbol since I think
you left one out. Proceed, with fingers crossed.
! Missing \endgroup inserted.
<inserted text>
\endgroup
l.65 \end{align*}
I've inserted something that you may have forgotten.
(See the <inserted text> above.)
With luck, this will get me unwedged. But if you
really didn't forget anything, try typing `2' now; then
my insertion and my current dilemma will both disappear.
! Missing } inserted.
<inserted text>
}
l.65 \end{align*}
I've inserted something that you may have forgotten.
(See the <inserted text> above.)
With luck, this will get me unwedged. But if you
really didn't forget anything, try typing `2' now; then
my insertion and my current dilemma will both disappear.
! Misplaced \omit.
\math@cr@@@ ...@ \@ne \add@amps \maxfields@ \omit
\kern -\alignsep@ \iftag@ ...
l.65 \end{align*}
I expect to see \omit only after tab marks or the \cr of
an alignment. Proceed, and I'll ignore this case.
! Missing { inserted.
<inserted text>
{
l.65 \end{align*}
I've put in what seems to be necessary to fix
the current column of the current alignment.
Try to go on, since this might almost work.
所以基本上所有错误日志都让我感到困惑，我不太清楚该怎么办。希望有人能帮忙解决这个问题！
谢谢！
答案1
因此，正如评论中指出的那样，这是一个相对简单的修复 - 换句话说，对于一篇长篇文章来说，这是一个相对较短的答案:)：
环境align，就其本质而言，已经是数学模式，因此不要$在其中使用。删除$可获得所需的输出。
IE
We can now use the Pythagorean Theorem to find PE in two different equations which utilise $x$ and hence solve for $x$:
\emph{From $\triangle$PEB:}
\begin{align*}
PE &= \sqrt{BP^2 - x^2} \\
&= \sqrt{10^2 - x^2} \\
&= \sqrt{100 - x^2}
\end{align*}
