## Basic Notation
Regular text with inline math \(x + y\) in the middle of a sentence.
## Variables and Exponents
1. Powers: Let's calculate \(x^2\) and \(y^3\)
2. Subscripts: The sequence \(a_1, a_2, ..., a_n\)
3. Both: Temperature is \(T_{room} = 20^{\circ}C\)
## Greek Letters
1. Common variables: \(\alpha\), \(\beta\), \(\gamma\), \(\theta\)
2. Physics constants: Planck's constant \(\hbar\)
3. Math constants: \(\pi \approx 3.14159\)
## Operators
1. Multiplication: \(5 \times 4\), \(5 \cdot 4\)
2. Division: \(a \div b\), \(\frac{a}{b}\)
3. Plus/minus: \(x \pm y\)
## Functions
1. Trigonometry: \(\sin(x)\), \(\cos(x)\), \(\tan(x)\)
2. Logarithms: \(\log(x)\), \(\ln(x)\)
3. Limits: \(\lim_{x \to \infty}\)
## Special Symbols
1. Infinity: \(\infty\)
2. Approximately: \(\approx\)
3. Not equal: \(\neq\)
4. Less than or equal: \(\leq\)
5. Greater than or equal: \(\geq\)
## Complex Examples
1. Chemical equation: \(H_2O + CO_2 \rightarrow H_2CO_3\)
2. Physics formula: \(F = ma\)
3. Statistics: \(\bar{x} = \frac{1}{n}\sum_{i=1}^n x_i\)
4. Probability: \(P(A|B) = \frac{P(B|A)P(A)}{P(B)}\)
## Common Errors to Avoid
1. Closing parenthesis is required: \(x^2
2. Invalid operator is rendered: \(5 +* 3\)
3. Syntax error renders error: \([\frac{1}{2\)