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For equations longer than a line use the multiline environment. Insert a double backslash to set a point for the equation to be broken. The first part will be aligned to the left and the second part will be displayed in the next line and aligned to the right.
The \\line break command tells LaTeX to break the current line at the point of the command. With the optional argument, number, you can convert the \\line break command from a demand to a request. The number must be a number from 0 to 4. The higher the number, the more insistent the request is.
In general, the command \\\\ signifies a line break and within the correct math mode environment, it can start a new equation line.
So it is better to split the equation into two lines. For this first, you have to use a package called Smith. Next instead of replacing the equation argument with multiline. Now to split the equation. Insert double black slash where need to split. Now you can see that the equation fits inside the paper and also visible.
In general, the command \\\\ signifies a line break and within the correct math mode environment, it can start a new equation line.
Instead of centering you may consider aligning all equations at the equal sign and center the whole multiline environment. For this, use to align or align* environment, see the Smith user's guide (or type tendon Aldo at the command prompt). In any case, use Smith.
Do a \\begin{align*} ... \\end{align*}. That should do the trick. If you only want some lines in an alien environment to not be numbered, just put \\no number before the end characters on each of the lines you don't want to have numbers.
In the latter two TeX versions, a double dollar sign ($$) is used to indicate the beginning and end of display math mode. While the double dollar sign (still) works in LaTeX, it is not part of the “official” LaTeX command set (in fact, most books on LaTeX don't even mention it) and its use is discouraged.
Center (“Center”) The environment \\begin{center}...\\end{center} is used to center the text (note the American spelling). Each line is centered individually. This tends to make the paragraph look ugly and hard to read, but it is useful for centering figures, tables etc. Inside another environment you can use \\centering.
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