# Latex: Equations

Dr. Tom V. Mathew

4 October 2006

# 1 Equations

## 1.1 In line equations

In line equation is produced by giving $sign before and after an equation. Few simple equation are given below. \documentclass{article} \begin{document} A simple equation with english alphabets$z=x+y$, another simple equation with greek alphabets$\alpha=\beta+\gamma$, and an equation with some special notation$\sum z=\frac{\delta}{y^2}\$.

\end{document}

This will produce equations like this: A simple equation with english alphabets , another simple equation with greek alphabets , and an equation with some special notation .

A simple equation with english alphabets , another simple equation with greek alphabets , and . Note that the equation number is generated automatically.

## 1.2 equation Environment

The equation environment will create an equation similar to above, but not in-line. The equation will be placed next line, justified middle, places some space above and below; and auotmatically generate an equation number. To get the equation below, use the source code in:
$$\Pi_{i=0}^{n^{2}}=\frac{\alpha^{\sqrt{y}}}{\sqrt{y-x}}$$


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## 1.3 eqnarray Environment

The eqnarray environment is similar to the equation; but it can support equation spanning to many lines.
\begin{eqnarray}
z = (x+1)+(y-2) \\
= x+y+1-2 \\
= x+y-1\\
\end{eqnarray}


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Note that this environment has generated equation on all lines. However, the aligment of the equation is not proper. See the follwoing example which shows a nice alignment as well numbering for only once.
\begin{eqnarray}

\Pi_{i=0}^{n^{2}}&=&\frac{\alpha^{\sqrt{y}}}{\sqrt{y-x}}\\

&=&e^{25\beta}-1\nonumber\\

&=&\Delta+\Gamma\nonumber

\end{eqnarray}

This code will produce the follwing output.
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## 1.4 Matrix

%
$$% \newcommand{\cellaa}{\frac{\partial^2{f(\bar{x})}}{\partial{x_1^2}}} % \newcommand{\cellab}{\frac{\partial^2{f(\bar{x})}}{\partial{x_1x_2}}} % \newcommand{\cellac}{\frac{\partial^2{f(\bar{x})}}{\partial{x_1x_3}}} % \newcommand{\cellan}{\frac{\partial^2{f(\bar{x})}}{\partial{x_1x_n}}} % \newcommand{\cellba}{\frac{\partial^2{f(\bar{x})}}{\partial{x_2x_1}}} % \newcommand{\cellbb}{\frac{\partial^2{f(\bar{x})}}{\partial{x_2^2}}} % \newcommand{\cellbc}{\frac{\partial^2{f(\bar{x})}}{\partial{x_2x_3}}} % \newcommand{\cellbn}{\frac{\partial^2{f(\bar{x})}}{\partial{x_2x_n}}} % \newcommand{\cellna}{\frac{\partial^2{f(\bar{x})}}{\partial{x_nx_1}}} % \newcommand{\cellnb}{\frac{\partial^2{f(\bar{x})}}{\partial{x_nx_2}}} % \newcommand{\cellnc}{\frac{\partial^2{f(\bar{x})}}{\partial{x_nx_3}}} % \newcommand{\cellnn}{\frac{\partial^2{f(\bar{x})}}{\partial{x_n^2}}} % a=\left( % \begin{array}{ccccc} % \cellaa&\cellab&\cellac&\dots&\cellan\\ \cellba&\cellbb&\cellbc&\dots&\cellbn\\ \dots &\dots & \dots &\dots&\dots\\\hline \cellna&\cellnb&\cellnc&\dots&\cellnn\\ % \end{array} % \right) %$$


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Prof. Tom V. Mathew 2006-10-04