Latex Math Mode
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Some mathematical elements change their style depending on the context, whether they are in line with the text or in an equation-type environment. This article explains how to manually adjust the display style.
Depending on the value of $x$ the equation \( f(x) = \sum_{i=0}^{n} \frac{a_i}{1+x} \) may diverge or converge.
\[ f(x) = \sum_{i=0}^{n} \frac{a_i}{1+x} \]
Superscripts, subscripts and fractions are formatted differently.
The maths styles can be set explicitly. For instance, if you want an in-line mathematical element to display as a equation-like element put \displaystyle before that element. There are some more maths style-related commands that change the size of the text.
In-line maths elements can be set with a different style: \(f(x) = \displaystyle \frac{1}{1+x}\). The same is true the other way around:
\begin{eqnarray*}
\begin{eqnarray*}
f(x) = \sum_{i=0}^{n} \frac{a_i}{1+x} \\
\textstyle f(x) = \textstyle \sum_{i=0}^{n} \frac{a_i}{1+x} \\
\scriptstyle f(x) = \scriptstyle \sum_{i=0}^{n} \frac{a_i}{1+x} \\
\scriptscriptstyle f(x) = \scriptscriptstyle \sum_{i=0}^{n} \frac{a_i}{1+x}
\end{eqnarray*}
\end{eqnarray*}
In mathematical mode characters are spaced as if they were part of a single word, regardless of the actual space you insert. This article explains how to insert spaces of different lengths in mathematical mode.
Spacing in maths mode is useful in several situations, let's see an example:
Assume we have the next sets
\[
S = \{ z \in \mathbb{C}\, |\, |z| < 1 \} \quad \textrm{and} \quad S_2=\partial{S}
\]
As you see in this example, a mathematical text can be explicitly spaced by means of some special commands
The spacing depends on the command you insert, the example below contains a complete list of spaces and how they look like.
Spaces in mathematical mode.
\begin{align*}
f(x) &= x^2\! +3x\! +2 \\
f(x) &= x^2+3x+2 \\
f(x) &= x^2\, +3x\, +2 \\
f(x) &= x^2\: +3x\: +2 \\
f(x) &= x^2\; +3x\; +2 \\
f(x) &= x^2\ +3x\ +2 \\
f(x) &= x^2\quad +3x\quad +2 \\
f(x) &= x^2\qquad +3x\qquad +2
\end{align*}
Check the reference guide for a description of the commands.
Note: to see a description of the align* environment see Aligning equations with amsmath
Spacing around operators and relations in math mode are governed by specific skip lengths:
\begin{align*}
3ax+4by=5cz\\
3ax<4by+5cz
\end{align*}
For relationnal operators, such as < , > and =, LATEX establishes \thickmuskip space. But for binary operators such as +, - and x, the \medmuskip space is set. The difference is almost unnoticeable.
You can force the spacing used in binary or relational operators, so you can define your own.
\begin{align*}
34x^2a \mathbin{\#} 13bc \\
34x^2a \mathrel{\#} 13bc
\end{align*}
The previous example sets a particular spacing before and after # by using \mathrel (relational) and \mathbin (binary) commands.
space equal to the current font size (= 18 mu)
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