[Tex/LaTex] How to write following equations in LaTeX format

equationsmath-mode

I need to add the two equations below in LaTeX, at the center of the page, without referencing.

I am a beginner and I need some expert help. (I need to add also the description text of m, n, x_mn, and y_mn)

Best Answer

Something like this?

\documentclass{article}
\usepackage{mathtools,array}
\DeclarePairedDelimiter{\abs}{\lvert}{\rvert}
\begin{document}
\begin{gather*}
\mathit{MSE}=\frac{1}{mn} \sum_{i=1}^m \sum_{j=1}^n (x_{ij}-y_{ij})^2 \\[2ex]
\begin{array}{@{} l >{$}l<{$} @{}}
m      & number of rows in cover image\\
n      & number of columns in cover image\\
x_{ij} & pixel value from cover image\\
y_{ij} & pixel value from stego image
\end{array} \\[2ex]
\mathit{PSNR}(x,y)=\frac{10\log_{10}[\max(\max(x),\max(y))]^2}{\abs{x-y}^2}
\end{gather*}
\end{document}

Addendum to address the OP's follow-up questions. (a) To surround equations or groups of equations) with rectangular boxes, use the \boxed instruction. (b) To give an equation a caption, place it in a figure environment and use a \caption instruction.

\documentclass{article}
\usepackage{mathtools,array}
\DeclarePairedDelimiter{\abs}{\lvert}{\rvert}

\counterwithin{figure}{section} % optional
\usepackage[font={sf},skip=0.5\baselineskip]{caption} % optional

\begin{document}

\setcounter{section}{2} % just for this example
\setcounter{figure}{8}
\begin{figure}[ht!]
\[
\boxed{%
\begin{gathered}
\mathit{MSE}=\frac{1}{mn} \sum_{i=1}^m \sum_{j=1}^n (x_{ij}-y_{ij})^2 \\[1ex]
\begin{array}{@{} l >{$}l<{$} @{}}
m      & number of rows in cover image\\
n      & number of columns in cover image\\
x_{ij} & pixel value from cover image\\
y_{ij} & pixel value from stego image\\
\end{array} 
\end{gathered}
}% end of scope of \boxed
\]
\caption{MSE Algorithm}
\end{figure}

\[
\boxed{%
\mathit{PSNR}(x,y)=\frac{10\log_{10}[\max(\max(x),\max(y))]^2}{\abs{x-y}^2}
}
\]
\end{document}

Related Solutions

[Tex/LaTex] How to center equations

For a series of centered equations use the gather environment of amsmath:

\documentclass{article}
\usepackage{amsmath}
\begin{document}
\begin{gather*}
 E(R_{i,t})=E(\alpha_i)+E(\beta_{i,F_1 } F_{1,t})+E(\beta_{i,F_2 } F_{2,t})+
    \ldots+E(\beta_{i,F_m } F_{m,t})\\
\bar{R}_{i,t}=a+\hat{\beta}_{i,F_1 } E(F_{1,t})+\hat{\beta}_{i,F_2 } E(F_{2,t})+
    \ldots+\hat{\beta}_{i,F_m } E(F_{m,t})\\
 \bar{R}_{i,t}=a+\gamma_1\hat{\beta}_{i,F_1 } +\gamma_2\hat{\beta}_{i,F_2 } F_{2,t}+
    \ldots+\gamma_m\hat{\beta}_{i,F_m }
\end{gather*} 
\end{document}

alt text

Instead of centering you may consider to align all equations at the equal sign and center the whole multiline environment. For this, use the align or align* environment, see the amsmath user's guide (or type texdoc amsldoc at the command prompt).

In any case, use amsmath. That package provides many kinds of multiline diplayed formula environments.

[Tex/LaTex] How to write the equations with conditions in two lines

You really want to use alignat or alignedat (the difference being that the former types two equations, the latter one equation on two lines)

\documentclass{amsart}
\begin{document}
  \begin{alignat}{8}
    \nu &= V_w &&= cz/l, & \qquad u&= U_0, &\qquad \text{at\quad} r &=R, \\
    \nu &\rightarrow V_e &&= az/l, &\qquad T &\rightarrow T_{\infty},&\qquad \text{as\quad} r &\rightarrow \infty,
  \end{alignat}

  \begin{equation}
    \begin{alignedat}{8}
      \nu &= V_w &&= cz/l, & \qquad u&= U_0, &\qquad \text{at\quad} r &=R, \\
      \nu &\rightarrow V_e &&= az/l, &\qquad T &\rightarrow T_{\infty},&\qquad \text{as\quad} r &\rightarrow \infty,
    \end{alignedat}
  \end{equation}

  \begin{equation*}
    \begin{alignedat}{8}
      \nu &= V_w &&= cz/l, & \qquad u&= U_0, &\qquad \text{at\quad} r &=R, \\
      \nu &\rightarrow V_e &&= az/l, &\qquad T &\rightarrow T_{\infty},&\qquad \text{as\quad} r &\rightarrow \infty,
    \end{alignedat}
  \end{equation*}

\end{document}

both environments are found in amsmath , which is loaded by amsart in my mwe

Best Answer

Related Solutions

[Tex/LaTex] How to center equations

[Tex/LaTex] How to write the equations with conditions in two lines

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