[Tex/LaTex] Wrapping lines of an equation with \left and \right parentheses

equationsformattingwrap

I am having trouble formatting the following mathematical expression:

\begin{align*}
       A  &= \left(\left(\frac{1}{2},\frac{1}{2}\right) + \sqrt{2}Rot_{-\pi/4}\left\langle 0, \frac{1}{2} \right\rangle, \sqrt{2}Rot_{\pi/4}\left\langle 0, \frac{1}{2} \right\rangle \sqrt{2}Rot_{3\pi/4}\left\langle 0, \frac{1}{2} \right\rangle\right)\\
          &=  \left(\left(\frac{1}{2},\frac{1}{2}\right)+ \sqrt{2}
             \begin{pmatrix} \cos(\pi/4) & \sin(\pi/4) \\
                             -\sin(\pi/4) & \cos(\pi/4) \end{pmatrix}, \sqrt{2}
             \begin{pmatrix} \cos(\pi/4) & -\sin(\pi/4) \\
                             \sin(\pi/4) & \cos(\pi/4) \end{pmatrix}, \sqrt{2}
                           \begin{pmatrix} \cos(3\pi/4) & -\sin(3\pi/4) \\
                             \sin(3\pi/4) & \cos(3\pi/4) \end{pmatrix}
                           \begin{pmatrix} \cos(3\pi/4) & -\sin(3\pi/4) \\
                             \sin(3\pi/4) & \cos(3\pi/4) \end{pmatrix}\right)\\
\end{align*}

It gives me the following result:

enter image description here

I would like for the piece that runs off the page to just continue on the next line with a little bit of indentation. I tried to do this with more align symbols, but this fails because whenever I go to break the line, I leave an unmatched \left(.

How can I format this so that the piece of the equation that runs of the page continues onto the next line with a little bit of an indentation?

Thanks for all the help!

Best Answer

Use multline* instead.

\documentclass{article}
\usepackage{amsmath}
\begin{document}
  \begin{multline*}
 \left(\left(\frac{1}{2},\frac{1}{2}\right)+ \sqrt{2}
             \begin{pmatrix} \cos(\pi/4) & \sin(\pi/4) \\
                             -\sin(\pi/4) & \cos(\pi/4) \end{pmatrix}, \sqrt{2}
             \begin{pmatrix} \cos(\pi/4) & -\sin(\pi/4) \\
                             \sin(\pi/4) & \cos(\pi/4) \end{pmatrix},\right.\\
                              \left. \qquad  \sqrt{2}                %% remove \qquad if you want
             \begin{pmatrix} \cos(3\pi/4) & -\sin(3\pi/4) \\
                             \sin(3\pi/4) & \cos(3\pi/4) \end{pmatrix}
                           \begin{pmatrix} \cos(3\pi/4) & -\sin(3\pi/4) \\
                             \sin(3\pi/4) & \cos(3\pi/4) \end{pmatrix}\right)\\
\end{multline*}
\end{document}

enter image description here

For the updated query and needs, use mathtools (instead of amsmath) and it multlined environment.

\documentclass{article}
\usepackage{mathtools}
\begin{document}
  \begin{align*}
       A  &= \left(\left(\frac{1}{2},\frac{1}{2}\right) + \sqrt{2}Rot_{-\pi/4}\left\langle 0, \frac{1}{2} \right\rangle, \sqrt{2}Rot_{\pi/4}\left\langle 0, \frac{1}{2} \right\rangle \sqrt{2}Rot_{3\pi/4}\left\langle 0, \frac{1}{2} \right\rangle\right)\\
          &=\!\!
          \begin{multlined}[t]
 \left(\left(\frac{1}{2},\frac{1}{2}\right)+ \sqrt{2}
             \begin{pmatrix} \cos(\pi/4) & \sin(\pi/4) \\
                             -\sin(\pi/4) & \cos(\pi/4) \end{pmatrix}, \sqrt{2}
             \begin{pmatrix} \cos(\pi/4) & -\sin(\pi/4) \\
                             \sin(\pi/4) & \cos(\pi/4) \end{pmatrix},\right.\\[\jot]
                              \left. \qquad  \sqrt{2}                %% remove \qquad if you want
             \begin{pmatrix} \cos(3\pi/4) & -\sin(3\pi/4) \\
                             \sin(3\pi/4) & \cos(3\pi/4) \end{pmatrix}
                           \begin{pmatrix} \cos(3\pi/4) & -\sin(3\pi/4) \\
                             \sin(3\pi/4) & \cos(3\pi/4) \end{pmatrix}\right)\\
\end{multlined}
\end{align*}
\end{document}

enter image description here

Related Solutions

[Tex/LaTex] aligning a multiline formula with the bullet of itemize

I would definitely go the second way with $\displaystyle: I find that it looks strange to have something centered after a bullet. To get the vertical alignment correct, just add [t] after \begin{aligned}, where "t" means "top". (See also the top of page 8 of the User's guide for the amsmath Package.)

[Tex/LaTex] How to align a system of multiline equations

the multlined environment from mathtools is your friend. (it loads amsmath, so there's no need to do that).

two things to note about this example:

\mathindent is set to zero width within a group so it will disappear after the display ends.
since multlined (like multline) automatically sets the first line flush left and the last line flush right, you don't want the \shove... commands on those lines. in fact, the spacing will be compromised if you do wrap those lines in \shove... arguments.

here's the code:

\documentclass{article}
\usepackage[fleqn]{mathtools}

\begin{document}

\noindent some text here
{\mathindent=0pt
\[
\setlength{\multlinegap}{0pt}
\left\{
\begin{multlined}
A_{PP}\sin\alpha_{P1} - A_{PS}\cos\alpha_{S1} +B_{PP} \sin\alpha_{P2} +B_{PS} \cos\alpha_{S2} = \\
\shoveright{=\sin\alpha_{P1},} \\
% 2-nd equation
\shoveleft{ A_{PP}\cos\alpha_{P1}  +A_{PS} \sin\alpha_{S1} -B_{PP}\cos\alpha_{P2} + B_{PS} \sin\alpha_{S2} = } \\
\shoveright{ =\cos\alpha_{P1},} \\
% 3-rd equation
\shoveleft{ A_{PP}\gamma_{P1} \cos 2\alpha_{S1} +A_{PS}  \gamma_{S1} \sin 2\alpha_{S1} +B_{PP}  \gamma_{P2} \cos 2\alpha_{S2} -} \\
\shoveright{- B_{PS}   \gamma_{S2} \sin 2\alpha_{S2} = \gamma_{P1} \cos 2\alpha_{S1},} \\
% 4-th equation
\shoveleft{ -A_{PP}n_1 \gamma_{S1} \sin 2\alpha_{P1} +A_{PS}  \gamma_{S1} \cos 2\alpha_{S1} +B_{PP} n_2 \gamma_{S2} \sin 2\alpha_{P2} +} \\
+ B_{PS} \gamma_{S2} \cos 2\alpha_{S2} = n_1 \gamma_{S1} \sin 2\alpha_{P1}.
\end{multlined}
\right.
\] }

\end{document}

enter image description here

Best Answer

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[Tex/LaTex] How to align a system of multiline equations

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