tanszek:oktatas:techcomm:mathematical_expressions_in_tex_language
Differences
This shows you the differences between two versions of the page.
Both sides previous revisionPrevious revisionNext revision | Previous revision | ||
tanszek:oktatas:techcomm:mathematical_expressions_in_tex_language [2024/09/10 08:54] – [1. Introduction to LaTeX] kissa | tanszek:oktatas:techcomm:mathematical_expressions_in_tex_language [2025/09/04 12:45] (current) – [5. Aligning Equations] kissa | ||
---|---|---|---|
Line 55: | Line 55: | ||
</ | </ | ||
- | This code will became: | + | This code will become: |
{{: | {{: | ||
Line 90: | Line 90: | ||
{{: | {{: | ||
- | ==== 3. Special Mathematical Symbols in LaTeX ==== | + | ==== 3. Basic Text Formatting in LaTeX ==== |
+ | |||
+ | LaTeX also allows you to format text, which is useful for emphasizing certain parts of your documents. | ||
+ | |||
+ | **Bold text** | ||
+ | |||
+ | Use the '' | ||
+ | - Example: '' | ||
+ | |||
+ | **Italic text** | ||
+ | |||
+ | Use the '' | ||
+ | - Example: '' | ||
+ | |||
+ | **Underline text** | ||
+ | |||
+ | Use the '' | ||
+ | - Example: '' | ||
+ | |||
+ | **Combining formats** | ||
+ | |||
+ | You can even combine them: | ||
+ | - Example: '' | ||
+ | - Example: | ||
+ | |||
+ | <code LaTeX> | ||
+ | \documentclass{article} | ||
+ | \begin{document} | ||
+ | |||
+ | Here is some \textbf{bold text}, some \textit{italic text}, and some \underline{underlined text}. | ||
+ | |||
+ | You can also combine them, like \textbf{\textit{bold and italic}}. | ||
+ | |||
+ | \end{document} | ||
+ | </ | ||
+ | |||
+ | This will become: | ||
+ | |||
+ | {{: | ||
+ | |||
+ | ==== 4. Special Mathematical Symbols in LaTeX ==== | ||
LaTeX provides a variety of symbols to accurately represent mathematical expressions. | LaTeX provides a variety of symbols to accurately represent mathematical expressions. | ||
Line 134: | Line 174: | ||
This represents the definite integral of $x \sin(x)$ with respect to $x$ from $a$ to $b$. | This represents the definite integral of $x \sin(x)$ with respect to $x$ from $a$ to $b$. | ||
- | ==== 4. Aligning Equations ==== | + | ==== 5. Aligning Equations ==== |
=== Align Environment === | === Align Environment === | ||
Line 160: | Line 200: | ||
**Explanation: | **Explanation: | ||
- | - **\usepackage{amsmath}**: | + | - **\usepackage{amsmath}**: |
- | - **&**: This symbol is used to align equations at the specified point, usually before an operator like `=`. | + | - **&**: This symbol is used to align equations at the specified point, usually before an operator like '' |
**Tips:** | **Tips:** | ||
Line 176: | Line 216: | ||
- | ==== 5. Exercise ==== | + | ==== 6. Exercise ==== |
Reproduce the following mathematical proof in LaTeX. Use inline and display math, as well as basic and special symbols! Save the result in PDF format! | Reproduce the following mathematical proof in LaTeX. Use inline and display math, as well as basic and special symbols! Save the result in PDF format! | ||
Line 188: | Line 228: | ||
Proof: √2 is Irrational | Proof: √2 is Irrational | ||
- | Assume, for contradiction, | + | Assume, for contradiction, |
Then: | Then: | ||
Line 209: | Line 249: | ||
This implies that b2 is even, so b must also be even. | This implies that b2 is even, so b must also be even. | ||
- | But if both a and b are even, they are not coprime, which contradicts our original assumption. Therefore, | + | But if both a and b are even, they are not coprime, which contradicts our original assumption. Therefore, 2 must be irrational. |
</ | </ | ||
tanszek/oktatas/techcomm/mathematical_expressions_in_tex_language.1725958488.txt.gz · Last modified: 2024/09/10 08:54 by kissa