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[latex/en] minor typo fixes (#2481)
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@ -117,7 +117,7 @@ Math has many symbols, far beyond what you can find on a keyboard;
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Set and relation symbols, arrows, operators, and Greek letters to name a few.\\
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Sets and relations play a vital role in many mathematical research papers.
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Here's how you state all y that belong to X, $\forall$ x $\in$ X. \\
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Here's how you state all x that belong to X, $\forall$ x $\in$ X. \\
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% Notice how I needed to add $ signs before and after the symbols. This is
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% because when writing, we are in text-mode.
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% However, the math symbols only exist in math-mode.
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@ -128,7 +128,7 @@ Here's how you state all y that belong to X, $\forall$ x $\in$ X. \\
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\[a^2 + b^2 = c^2 \]
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My favorite Greek letter is $\xi$. I also like $\beta$, $\gamma$ and $\sigma$.
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I haven't found a Greek letter that yet that \LaTeX \hspace{1pt} doesn't know
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I haven't found a Greek letter yet that \LaTeX \hspace{1pt} doesn't know
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about! \\
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Operators are essential parts of a mathematical document:
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@ -148,7 +148,7 @@ $$ ^{10}/_{7} $$
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% \frac{numerator}{denominator}
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$$ \frac{n!}{k!(n - k)!} $$ \\
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We can also insert equations in an "equation environment".
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We can also insert equations in an ``equation environment''.
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% Display math with the equation 'environment'
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\begin{equation} % enters math-mode
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@ -223,7 +223,7 @@ and look at the glorious glory that is a \LaTeX \hspace{1pt} pdf.
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Getting to the final document using \LaTeX \hspace{1pt} consists of the following
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steps:
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\begin{enumerate}
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\item Write the document in plain text (the "source code").
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\item Write the document in plain text (the ``source code'').
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\item Compile source code to produce a pdf.
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The compilation step looks like this (in Linux): \\
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\begin{verbatim}
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@ -233,7 +233,10 @@ steps:
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A number of \LaTeX \hspace{1pt}editors combine both Step 1 and Step 2 in the
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same piece of software. So, you get to see Step 1, but not Step 2 completely.
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Step 2 is still happening behind the scenes.
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Step 2 is still happening behind the scenes\footnote{In cases, where you use
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references (like Eqn.~\ref{eq:pythagoras}), you may need to run Step 2
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multiple times, to generate an intermediary *.aux file.}.
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% Also, this is how you add footnotes to your document!
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You write all your formatting information in plain text in Step 1.
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The compilation part in Step 2 takes care of producing the document in the
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