[Tex/LaTex] How to neatly align long equations one below each other

alignequations

I have seven different equations which I want to left align.

Below is the code I am using to align the equations:

\begin{equation}
\phi_{1} \; = \; n_{20} + n_{02}
\end{equation}

\begin{equation}
\phi_{2} \; = \; (n_{20} - n_{02})^2 + 4n_{11}^2
\end{equation}

\begin{equation}
\phi_{3} \; = \; n_{30} - n_{12}^2 + 3n_{21} - n_{03}^2
\end{equation}

\begin{equation}
\phi_{4} \; = \; n_{30} + n_{12}^2 + 3n_{21} + n_{03}^2
\end{equation}

\begin{multline}
\phi_{5} \; = \; (n_{30} - 3n_{12})(n_{30} + n_{12})[(n_{30} + n_{12}^2) -3(n_{30} + n_{12})^2] + (3n_{12} - n_{03})(n_{21} + n_{03})[3(n_{30} + n_ {12})^2 - (n_{21} + n_{03})^2]
\end{multline}

\begin{equation}
\phi_{6} \; = \; (n_{20} - n_{02})[(n_{30} + n_{12}^2) - (n_{21} + n_{03})^2] + 4n_{11}(n_{30} + n_{12})(n_{21} + n_{03})
\end{equation}

\begin{equation}
\phi_{7} \; = \; (3n_{21} - n_{03})(n_{30} + n_{12})[(n_{30} + n_{12})^2 - 3(n_{21} + n_{03})^2] + (3n_{12} - n_{30})(n_{21} + n_{03})[3(n_{30} + n_{12})^2 - (n_{21} + n_{03}^2)]
\end{equation}

I want the equations to be left align and evenly spaced on each line, i.e. if an equation is too long it should go on to the next line.

Best Answer

A single align environment seems right, plus additional line breaks for equations 5, 6, and 7; the second halves of these equations are indented (by the amount of \quad) relative to the first halves. Note that I've performed alignment on the = symbols, not full left-alignment.

\documentclass{article}
\usepackage{amsmath}
\begin{document}
\begin{align}
\phi_{1} &= n_{20} + n_{02}\\
\phi_{2} &= (n_{20} - n_{02})^2 + 4n_{11}^2\\
\phi_{3} &= n_{30} - n_{12}^2 + 3n_{21} - n_{03}^2\\
\phi_{4} &= n_{30} + n_{12}^2 + 3n_{21} + n_{03}^2\\
\phi_{5} &= (n_{30} - 3n_{12})(n_{30} + n_{12})[(n_{30} + n_{12}^2) -3(n_{30} + n_{12})^2] \notag\\
&\quad+ (3n_{12} - n_{03})(n_{21} + n_{03})[3(n_{30} + n_ {12})^2 - (n_{21} + n_{03})^2]\\
\phi_{6} &= (n_{20} - n_{02})[(n_{30} + n_{12}^2) - (n_{21} + n_{03})^2] \notag\\
&\quad+ 4n_{11}(n_{30} + n_{12})(n_{21} + n_{03})\\
\phi_{7} &= (3n_{21} - n_{03})(n_{30} + n_{12})[(n_{30} + n_{12})^2 - 3(n_{21} + n_{03})^2] \notag\\
&\quad+ (3n_{12} - n_{30})(n_{21} + n_{03})[3(n_{30} + n_{12})^2 - (n_{21} + n_{03}^2)]
\end{align}
\end{document}

Related Solutions

[Tex/LaTex] How to align long subequations while breaking each one

mathtools provides the multlined "subenvironment", which shifts the first line left, the last line right, and applies only one number to each subequation. put multiple multlined subequations together with gather:

\documentclass{article}
\usepackage{mathtools}
\begin{document}
\noindent X\hrulefill X\ignorespaces
\begin{subequations}
\label{energy13}
\begin{gather}
\begin{multlined}
 u_e\frac{\partial \left(\varrho_e u_e\right)}{\partial t}
+ u_e\frac{\partial \left(\varrho_e u_e^2\right)}{\partial s}
+ u_e\frac{\partial \left(\varrho_e u_e v_e\right)}{\partial n} 
-2 \varrho_e \varOmega u_e v_e \\ 
=- u_e\frac {\partial p_e}{\partial s}
+\qquad
+\varrho_e u_e\left(\varOmega^2R_{OPs}+\frac{\partial\varOmega}{\partial 
t}(R_{OPn}+n)-\frac{\partial^2 R_{Os}}{\partial t^2}\right)
\end{multlined}
 \\
\begin{multlined}
 u\frac{\partial \left(\varrho u\right)}{\partial t}
+ u\frac{\partial \left(\varrho u^2 \right)}{\partial s}
+ u\frac{\partial \left(\varrho u v \right)}{\partial n}  
-2 \varrho \varOmega u v \\
=- u\frac {\partial p}{\partial s}
+\mu u\frac {\partial^2 u}{\partial n^2}
+\varrho u \left(\varOmega^2R_{OPs}+\frac{\partial\varOmega}{\partial 
t}(R_{OPn}+n)-\frac{\partial^2 R_{Os}}{\partial t^2}\right)
\end{multlined}
\end{gather}
\end{subequations}
\end{document}

output of example code

the equation numbers are centered vertically on the subequations, rather than being set on the last line -- that's how all the "subenvironments" work.

[Tex/LaTex] Align equations within one line

The posted code does not have the spacing shown, but generates errors due to the blank lines, this version runs without error

\documentclass[]{scrbook}
\usepackage[fleqn]{amsmath}
\usepackage{amssymb}

\begin{document}
%\setlength{\mathindent}{0cm}

\begin{subequations}\label{eq:MINLP}

   \begin{align}
     \min &\sum_{j=1}^{NE}(y_{j}-V_{1,j})^{2} 
     \tag{\ref{eq:MINLP}}\\
     \mathrm{s.t.} \quad & f_{j,k}(V_{n,j},V_{2n,j},V_{2n+1,j}) \le
     M_{n,j,k}^{\mathrm{up}}(1-\delta_{n,k}) && n \in \mathcal{N}_{b},\,
     k \in  \mathcal{F},\, j \in \mathcal{E} \\
     & f_{j,k}(V_{n,j},V_{2n,j},V_{2n+1,j}) \ge M_{n,j,k}^{\mathrm{lo}}
    (1-\delta_{n,k}) && n=a+b 
   \end{align}
\end{subequations}
\end{document}

Best Answer

Related Solutions

[Tex/LaTex] How to align long subequations while breaking each one

[Tex/LaTex] Align equations within one line

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