🎯 What is LaTeX?
LaTeX is a typesetting system that makes it easy to write mathematical expressions, equations, and scientific notation. In Three-Sided, you can use LaTeX in your flashcard statements, hints, and proofs to create professional-looking mathematical content.
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Tip: LaTeX expressions are enclosed in dollar signs: $expression$ or \(expression\)
🔢 Basic Math Symbols
Basic Operations
Fractions and Powers
Fraction:
$\frac{a}{b}$
Result: $\frac{a}{b}$
Power/Exponent:
$x^2$ or $x^{n+1}$
Result: $x^2$ or $x^{n+1}$
Greek Letters
📐 Common Mathematical Expressions
Square Root
Square root:
$\sqrt{x}$ or $\sqrt[n]{x}$
Result: $\sqrt{x}$ or $\sqrt[n]{x}$
Integrals
Definite integral:
$\int_{a}^{b} f(x) dx$
Result: $\int_{a}^{b} f(x) dx$
Indefinite integral:
$\int f(x) dx$
Result: $\int f(x) dx$
Summation
Sum:
$\sum_{i=1}^{n} x_i$
Result: $\sum_{i=1}^{n} x_i$
Limits
Limit:
$\lim_{x \to \infty} f(x)$
Result: $\lim_{x \to \infty} f(x)$
🔬 Advanced Examples
Quadratic Formula
Code:
$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$
Result: $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$
Euler's Identity
Code:
$e^{i\pi} + 1 = 0$
Result: $e^{i\pi} + 1 = 0$
Matrix
Code:
$\begin{pmatrix} a & b \\ c & d \end{pmatrix}$
Result: $\begin{pmatrix} a & b \\ c & d \end{pmatrix}$
Partial Derivative
Code:
$\frac{\partial f}{\partial x}$
Result: $\frac{\partial f}{\partial x}$
⚠️ Common Mistakes to Avoid
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Don't forget the dollar signs! LaTeX expressions must be enclosed in $ or \( \)
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Use curly braces for grouping: $x^{2+3}$ gives the desired result, not $x^2+3$
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Spaces matter: $\frac{a}{b}$ works, but $\frac {a} {b}$ might not
🎓 Practice Examples
Try these examples in your flashcards:
Statement:
What is the derivative of $f(x) = x^2 + 3x + 1$?
Hint:
Use the power rule: $\frac{d}{dx}x^n = nx^{n-1}$
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Pro tip: You can mix regular text with LaTeX expressions. For example: "The area of a circle is $A = \pi r^2$ where $r$ is the radius."
🔗 More Resources
For more advanced LaTeX syntax, check out: