Mathematical Expressions and LaTeX

Inline Math (Preprocessor)

Use template tags for inline equations that are static. For example, the quadratic formula is which gives us the roots of a quadratic equation.

Einstein's famous equation relates energy and mass through the speed of light.

Display Math (Preprocessor)

Use template tags with the X tag for centered block equations:

This is a fundamental integral in calculus and probability theory.

Complex Expressions

The preprocessor can render complex mathematical notation:

This is the wave equation, essential in physics and engineering.

Series and Summations

Infinite series like appear frequently in analysis.

More complex expressions:

Matrices and Vectors

You can also render matrices:

Limits and Derivatives

Calculus notation works well too:

Dynamic Math (Rare Cases)

For very rare cases where you need dynamic math with runtime variables, you would need to handle that separately since the preprocessor tags only work for static content. The template prioritizes performance through build-time rendering for 99% of use cases.

LaTeX Syntax Tips

• Use standard LaTeX commands: \frac, \sqrt, \sum, \int
• Superscripts: x^2
• Subscripts: x_i
• Fractions: \frac{numerator}{denominator}
• Greek letters: \alpha, \beta, \gamma, \omega
• For complex expressions, test at Wolfram Alpha or Overleaf