[Tex/LaTex] left-align latex multiline equation

equations

I have a multiline equation in a 2-column document. I want the last item after the "+" sign, i.e. L_{p}^{ITM}\delta_{i,B}, to be left-aligned.As can be seen from the picture, the following latex script gives the last item as right-aligned. (Full code is below)

\documentclass[journal]{IEEEtran}
\usepackage{amsmath}
\usepackage{adjustbox}
\usepackage[noadjust]{cite} 
\usepackage{amsmath,amssymb}
\usepackage{amsthm}
\usepackage{color}
\usepackage[mathscr]{eucal}
\usepackage{graphics,graphicx,multicol}
\usepackage{epsfig}
\usepackage{enumerate}
\usepackage{multirow}
\usepackage{cite}
\usepackage{courier}
\newtheorem{thm}{Theorem}[section]
\newtheorem{lem}[thm]{Lemma}
\newtheorem{cor}[thm]{Corollary}
\newtheorem{rem}[thm]{Remark}
\newtheorem{pro}[thm]{Proposition}
\pagenumbering{arabic}
\pagestyle{plain}
\usepackage{lipsum,booktabs}
\usepackage{subfigure}
\usepackage{algorithmic}
\usepackage[section]{algorithm}
\usepackage{morefloats}
\usepackage{subfigure}
\usepackage{multirow}
\usepackage{array}
\usepackage{moredefs}

\begin{document}

\title{Title}
\author{Author}
\maketitle

\begin{abstract}
This is abstract.
\end{abstract}

\providelength{\AxesLineWidth}       \setlength{\AxesLineWidth}{0.5pt}
\providelength{\plotwidth}           \setlength{\plotwidth}{8cm}
\providelength{\LineWidth}           \setlength{\LineWidth}{0.7pt}
\providelength{\MarkerSize}          \setlength{\MarkerSize}{3pt}

\section{Introduction}\label{sec:intro}
Section1

\section{Equations}\label{sec:Eq}
The equation is: 

\begin{align*}\label{eqn:1_1}
   L_{p}(d, h_{TX}, h_{RX}) =  \{\{\overbrace{L_{fs}(R,f)U(0.1-d)}^{L_{p,1}}+\clipbox{-2 0 5 0}{$\overbrace{[L_{fs}(R,f) + \hspace{1em}}^{L_{p,2}}$} \\[\jot]
       \clipbox{100 0 -2 0}{$\overbrace{\phantom{\hspace{10em}}(1 + \log_{10}(d))(L^{EH}_{B}(1,f) - L_{fs}(0.1,f)]\prod(\frac{d-0.05}{0.1})\hspace{1em}}$} +\\
\overbrace{\max\{L_{p}^{EH}(d,f),L_{p}^{ITM}(d,f)\}\prod(\frac{d-41}{80})}^{L_{p,3}} + \clipbox{-2 0 5 0}{$\overbrace{(L_{P}^{ITM}(d,f) + \hspace{1em}}^{L_{p,4}}$} \\[\jot]
       \clipbox{100 0 -2 0}{$\overbrace{\phantom{\hspace{10em}}\max\{L^{EH}_{B}(80,f) - L_{p}^{ITM}(80,f),0\})U(d-80)\hspace{1em}}$}\}\delta_{iA} + \\L_{p}^{ITM}\delta_{i,B}                                     
\end{align*}

\end{document}

Best Answer

Just add a & to the beginning of each line to make it left aligned.

\documentclass[journal]{IEEEtran}
\usepackage{amsmath}
\usepackage{adjustbox}
\usepackage[noadjust]{cite} 
\usepackage{amsmath,amssymb}
\usepackage{amsthm}
\usepackage{color}
\usepackage[mathscr]{eucal}
\usepackage{graphics,graphicx,multicol}
\usepackage{epsfig}
\usepackage{enumerate}
\usepackage{multirow}
\usepackage{cite}
\usepackage{courier}
\newtheorem{thm}{Theorem}[section]
\newtheorem{lem}[thm]{Lemma}
\newtheorem{cor}[thm]{Corollary}
\newtheorem{rem}[thm]{Remark}
\newtheorem{pro}[thm]{Proposition}
\pagenumbering{arabic}
\pagestyle{plain}
\usepackage{lipsum,booktabs}
\usepackage{subfigure}
\usepackage{algorithmic}
\usepackage[section]{algorithm}
\usepackage{morefloats}
\usepackage{subfigure}
\usepackage{multirow}
\usepackage{array}
\usepackage{moredefs}

\begin{document}

\title{Title}
\author{Author}
\maketitle

\begin{abstract}
This is abstract.
\end{abstract}

\providelength{\AxesLineWidth}       \setlength{\AxesLineWidth}{0.5pt}
\providelength{\plotwidth}           \setlength{\plotwidth}{8cm}
\providelength{\LineWidth}           \setlength{\LineWidth}{0.7pt}
\providelength{\MarkerSize}          \setlength{\MarkerSize}{3pt}

\section{Introduction}\label{sec:intro}
Section1

\section{Equations}\label{sec:Eq}
The equation is: 

\begin{align*}\label{eqn:1_1}
   &L_{p}(d, h_{TX}, h_{RX}) =  \{\{\overbrace{L_{fs}(R,f)U(0.1-d)}^{L_{p,1}}
     +\clipbox{-2 0 5 0}{$\overbrace{[L_{fs}(R,f) + \hspace{1em}}^{L_{p,2}}$} 
     \\[\jot]
   &\clipbox{100 0 -2 0}{$\overbrace{\phantom{\hspace{10em}}(1 + 
     \log_{10}(d))(L^{EH}_{B}(1,f) - L_{fs}(0.1,f)]\prod(\frac{d-0.05}{0.1})
     \hspace{1em}}$} +\\
   &\overbrace{\max\{L_{p}^{EH}(d,f),L_{p}^{ITM}(d,f)\}\prod(%
     \frac{d-41}{80})}^{L_{p,3}} + \clipbox{-2 0 5 0}{%
     $\overbrace{(L_{P}^{ITM}(d,f) + \hspace{1em}}^{L_{p,4}}$} \\[\jot]
   &\clipbox{100 0 -2 0}{$\overbrace{\phantom{\hspace{10em}}%
     \max\{L^{EH}_{B}(80,f) - L_{p}^{ITM}(80,f),0\})U(d-80)%
     \hspace{1em}}$}\}\delta_{iA} + \\
   &L_{p}^{ITM}\delta_{i,B}                                     
\end{align*}

\end{document}

I might even suggest making all rows of the equation of equal baselineskip. One can do that with a TABstack:

\documentclass[journal]{IEEEtran}
\usepackage{amsmath}
\usepackage{adjustbox}
\usepackage[noadjust]{cite} 
\usepackage{amsmath,amssymb}
\usepackage{amsthm}
\usepackage{color}
\usepackage[mathscr]{eucal}
\usepackage{graphics,graphicx,multicol}
\usepackage{epsfig}
\usepackage{enumerate}
\usepackage{multirow}
\usepackage{cite}
\usepackage{courier}
\newtheorem{thm}{Theorem}[section]
\newtheorem{lem}[thm]{Lemma}
\newtheorem{cor}[thm]{Corollary}
\newtheorem{rem}[thm]{Remark}
\newtheorem{pro}[thm]{Proposition}
\pagenumbering{arabic}
\pagestyle{plain}
\usepackage{lipsum,booktabs}
\usepackage{subfigure}
\usepackage{algorithmic}
\usepackage[section]{algorithm}
\usepackage{morefloats}
\usepackage{subfigure}
\usepackage{multirow}
\usepackage{array}
\usepackage{moredefs}
\usepackage{tabstackengine}
\TABstackMath
\begin{document}

\title{Title}
\author{Author}
\maketitle

\begin{abstract}
This is abstract.
\end{abstract}

\providelength{\AxesLineWidth}       \setlength{\AxesLineWidth}{0.5pt}
\providelength{\plotwidth}           \setlength{\plotwidth}{8cm}
\providelength{\LineWidth}           \setlength{\LineWidth}{0.7pt}
\providelength{\MarkerSize}          \setlength{\MarkerSize}{3pt}

\section{Introduction}\label{sec:intro}
Section1

\section{Equations}\label{sec:Eq}
The equation is: 

\[\label{eqn:1_1}
\setstackgap{L}{38pt}
\alignCenterstack{
   &L_{p}(d, h_{TX}, h_{RX}) =  \{\{\overbrace{L_{fs}(R,f)U(0.1-d)}^{L_{p,1}}
     +\clipbox{-2 0 5 0}{$\overbrace{[L_{fs}(R,f) + \hspace{1em}}^{L_{p,2}}$} 
     \\
   &\clipbox{100 0 -2 0}{$\overbrace{\phantom{\hspace{10em}}(1 + 
     \log_{10}(d))(L^{EH}_{B}(1,f) - L_{fs}(0.1,f)]\prod(\frac{d-0.05}{0.1})
     \hspace{1em}}$} +\\
   &\overbrace{\max\{L_{p}^{EH}(d,f),L_{p}^{ITM}(d,f)\}\prod(%
     \frac{d-41}{80})}^{L_{p,3}} + \clipbox{-2 0 5 0}{%
     $\overbrace{(L_{P}^{ITM}(d,f) + \hspace{1em}}^{L_{p,4}}$} \\
   &\clipbox{100 0 -2 0}{$\overbrace{\phantom{\hspace{10em}}%
     \max\{L^{EH}_{B}(80,f) - L_{p}^{ITM}(80,f),0\})U(d-80)%
     \hspace{1em}}$}\}\delta_{iA} + \\
   &L_{p}^{ITM}\delta_{i,B}                                     
}
\]

\end{document}

Related Solutions

[Tex/LaTex] Left align equation description

A regular align with some macro-involvement would obtain the desired result:

enter image description here

\documentclass{article}
\usepackage{amsmath}% http://ctan.org/pkg/amsmath
\newcommand{\alignmath}[2]{\makebox[0pt][#1]{$\displaystyle#2$}}
\newcommand{\lmath}[1]{\alignmath{l}{#1}}
\newcommand{\rmath}[1]{\alignmath{r}{#1}}
\newcommand{\cmath}[1]{\alignmath{c}{#1}}
\begin{document}

\begin{align}
  & \text{this is my first equation:}  & \cmath{z=x}   & \\
  & \text{this is my second equation:} & \cmath{z=x+y} & \\
  & \text{this is my third equation:} & \lmath{z=x+y}  & \\
  & \text{this is my fourth equation:} & \rmath{z=x+y} & \\
  & \text{this is my last equation:} & z &= x+y
\end{align}
\end{document}

\cmath inserts a zero-width box that is centred. The advantage here is that you maintain the align-like vertical spacing.

I've added \lmath and \rmath for completeness, since \makebox allows for left- and right-aligned boxes. Also, the vertical rule indicates the horizontal alignment with respect to the default align - also supported in the above syntax.

Equations – How to Align Equations to the Left in LaTeX

I would not use the equation environment; rather, I would use flalign as such:
(notice the && at the end of each line)

\documentclass{article}
\usepackage{amsmath}
\begin{document}
\noindent A \hfill Z
\begin{flalign}
a_{ijk} &= \frac {Pr(M_{I} =2  \&  M_J=1 \& M_K =1 | I=i , J=j , K=k)}{Pr (M_I =1 \& M_J =1 \& M_K=1 | I=i , J=j)}&&\\\nonumber
            &= \frac {\mu_{ijk211}}{\mu_{ijk111}}&&
\end{flalign}

\noindent A \hfill Z
\end{document}

Output

Another way to go is to set the fleqn option for the document class. However, this left-aligns all of your equations and hence should not be used when you want at least some equations to remain centered.

\documentclass[fleqn]{article}
\usepackage{amsmath}
\begin{document}
\noindent A \hfill Z
\begin{equation}
\begin{aligned}
a_{ijk} &= \frac {Pr(M_{I} =2  \&  M_J=1 \& M_K =1 | I=i , J=j , K=k)}{Pr (M_I =1 \& M_J =1 \& M_K=1 | I=i , J=j)}\\
            &= \frac {\mu_{ijk211}}{\mu_{ijk111}}\\
\end{aligned}
\end{equation}
\noindent A \hfill Z
\end{document}

For this output:

Output 2

As suggested by karlkoeller, if you want to get rid of the space between the left margin and the equation (to get a result similar to the first case), you should add \setlength{\mathindent}{0pt}. If you later want to indent it back to its default value, you can use the same command with a value of 15pt, which is the amount of pt a paragraph indent shifts its text to the right.

Best Answer

Related Solutions

[Tex/LaTex] Left align equation description

Equations – How to Align Equations to the Left in LaTeX

Related Question