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--- tanszek:oktatas:techcomm:mathematical_expressions_in_tex_language [2024/09/10 08:53] – [Introduction to LaTeX for Mathematical Expressions] kissa
+++ tanszek:oktatas:techcomm:mathematical_expressions_in_tex_language [2025/09/04 12:45] (current) – [5. Aligning Equations] kissa
@@ Line 7: / Line 7: @@
 **What is LaTeX?**
-  - 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.
+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?**
-  - **Precision and Control**: LaTeX allows precise formatting of documents and mathematical expressions.
+  * **Handling Complex Documents**: It is ideal for mathematical formulas, citations, and cross-referencing in technical writing.
-  - **Consistency**: LaTeX automatically manages references, labels, and numbering, ensuring consistency throughout your document.
+  * **Consistent Layout**: Automatically ensures a uniform, professional design by separating content from formatting.
-  - **Professional Quality**: Documents created in LaTeX look professional and are publication-ready.
+  * **Scalability**: Suitable for large projects, allowing version control and modular structure.
+  * **Longevity**: LaTeX's plain text format ensures long-term compatibility and durability.
+  * **Academic Preference**: Often required in academic and scientific publishing.
 **Getting Started:**
@@ Line 33: / Line 35: @@
   - **\begin{document}** and **\end{document}**: Everything between these commands will be included in the output document.
-----
 ==== 2. Writing Basic Mathematical Expressions ====
@@ Line 54: / Line 55: @@
 </code>
-This code will became:
+This code will become:
 {{:tanszek:oktatas:techcomm:pasted:20240902-141219.png}}
@@ Line 89: / Line 90: @@
 {{:tanszek:oktatas:techcomm:pasted:20240902-141644.png}}
-==== 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 ''\textbf{...}'' command:
+  - Example: ''\textbf{This is bold}'' → **This is bold**
+**Italic text**
+Use the ''\textit{...}'' command:
+  - Example: ''\textit{This is italic}'' → //This is italic//
+**Underline text**
+Use the ''\underline{...}'' command:
+  - Example: ''\underline{This is underlined}'' → __This is underlined__
+**Combining formats**
+You can even combine them:
+  - Example: ''\textbf{\textit{Bold and italic}}'' → **//Bold and italic//**
+  - 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}
+</code>
+This will become:
+{{:tanszek:oktatas:techcomm:pasted:20250904-122112.png}}
+==== 4. Special Mathematical Symbols in LaTeX ====
 LaTeX provides a variety of symbols to accurately represent mathematical expressions.
@@ Line 133: / Line 174: @@
 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 ===
@@ Line 159: / Line 200: @@
 **Explanation:**
-  - **\usepackage{amsmath}**: The `amsmath` package is required for advanced mathematical typesetting features, including the `align` environment.
+  - **\usepackage{amsmath}**: The ''amsmath'' package is required for advanced mathematical typesetting features, including the ''align'' environment.
-  - **&**: 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:**
@@ Line 175: / 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!
@@ Line 187: / Line 228: @@
 Proof: √2 is Irrational
-Assume, for contradiction, that √2 is rational. Then it can be expressed as a fraction a/b, where a and b are coprime integers.
+Assume, for contradiction, that 2 is rational. Then it can be expressed as a fraction a/b, where a and b are coprime integers.
 Then:
@@ Line 208: / Line 249: @@
 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, √2 must be irrational.
+But if both a and b are even, they are not coprime, which contradicts our original assumption. Therefore, 2 must be irrational.
 </code>