Institute of Information Science - University of Miskolc

The goal of the lesson is to become familiar with the TeX language, specifically for the purpose of writing mathematical expressions.

What is LaTeX?

1. LaTeX is a high-quality typesetting system, primarily used for technical and scientific documents. It is particularly powerful for formatting complex mathematical equations and formulas, making it a preferred choice in academia and research.

What are the advantages of LaTeX?

1. Precision and Control: LaTeX allows precise formatting of documents and mathematical expressions.
2. Consistency: LaTeX automatically manages references, labels, and numbering, ensuring consistency throughout your document.
3. Professional Quality: Documents created in LaTeX look professional and are publication-ready.

Getting Started:

1. Overleaf: We will use Overleaf, a free online LaTeX editor, which allows you to write and compile LaTeX documents directly in your browser.
   1. Sign up at Overleaf.
   2. Overleaf offers collaborative features, version control, and a vast library of LaTeX templates.

Basic Document Structure:

\documentclass{article}  % Specifies the document class (article, report, book, etc.)
\begin{document}          % Begins the content of the document
% Your content goes here
\end{document}            % Ends the content of the document

1. \documentclass{article}: Defines the overall layout and style of the document.
2. \begin{document} and \end{document}: Everything between these commands will be included in the output document.

1. Inline Math: For mathematical expressions that appear within a line of text, use $…$.
   1. E.g. $E = mc^2$ is written as $E = mc^2$ in LaTeX.
2. Display Math: For standalone equations, use $$…$$.
   1. E.g. To display $$E = mc^2$$ on its own line, use $$E = mc^2$$.

\documentclass{article}
\begin{document}

The equation $E = mc^2$ is famous in physics. It is so important that we can highlight $$E = mc^2$$ by putting it to a separate line.

\end{document}

This code will became:

1. Exponents (superscripts): Use ^ for superscripts.
   1. E.g. $x^2$ is written as $x^2$.
2. Subscripts: Use `_` for subscripts.
   1. E.g. $a_1$ is written as $a_1$.
3. Fractions: Use `\frac{numerator}{denominator}`.
   1. E.g. $\frac{a}{b}$ is written as $\frac{a}{b}$.

\documentclass{article}
\begin{document}

% Exponent and subscript
The formula for the area of a circle is $A = \pi r^2$.

% Fraction
The equation $\frac{a}{b} = c$ represents a fraction.

% Combined
The equation for kinetic energy is $K = \frac{1}{2}mv^2$.

\end{document}

This code will become: