Welcome to Fermat

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Inline Math

Euler's identity: $e^{i\pi} + 1 = 0$

The quadratic formula gives us $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$ inline.

Block Math

$$\int_{-\infty}^{\infty} e^{-x^2} \, dx = \sqrt{\pi}$$

Maxwell's equations in differential form:

$$\nabla \cdot \mathbf{E} = \frac{\rho}{\varepsilon_0}$$ $$\nabla \times \mathbf{B} = \mu_0 \mathbf{J} + \mu_0 \varepsilon_0 \frac{\partial \mathbf{E}}{\partial t}$$

Mixed Content

Here's a list with math:

• The Pythagorean theorem: $a^2 + b^2 = c^2$
• Bayes' theorem: $P(A|B) = \frac{P(B|A) \, P(A)}{P(B)}$
• A matrix: $\begin{pmatrix} a & b \\ c & d \end{pmatrix}$

"I have discovered a truly marvelous proof of this, which this margin is too narrow to contain." — Pierre de Fermat

# Code blocks are left alone
def fermat(n):
    return n ** 2