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--- tanszek:oktatas:techcomm:mathematical_expressions_in_tex_language [2024/09/09 10:58] – [3. Special Mathematical Symbols in LaTeX] kissa
+++ tanszek:oktatas:techcomm:mathematical_expressions_in_tex_language [2024/09/10 08:55] (current) – [5. Exercise] kissa
@@ Line 1: / Line 1: @@
 ===== Introduction to LaTeX for Mathematical Expressions =====
-The goal of the lesson is to become familiar with the TeX language, specifically for the purpose of writing mathematical expressions.
+The goal of the lesson is to become familiar with LaTeX, specifically for the purpose of writing mathematical expressions.
 ==== 1. Introduction to LaTeX ====
@@ 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:**
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   - **\begin{document}** and **\end{document}**: Everything between these commands will be included in the output document.
-----
 ==== 2. Writing Basic Mathematical Expressions ====
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 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 209: @@
 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.
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