Mathjax

When $ a \ne 0 $, there are two solutions to $(ax^2 + bx + c = 0)$ and they are
$$ x = {-b \pm \sqrt{b^2-4ac} \over 2a} $$

This sentence uses $ delimiters to show math inline: $\sqrt{3x-1}+(1+x)^2$

This sentence uses $` and `$ delimiters to show math inline: $\sqrt{3x-1}+(1+x)^2$

The Cauchy-Schwarz Inequality

$$ \left( \sum_{k=1}^n a_k b_k \right)^2 \leq \left( \sum_{k=1}^n a_k^2 \right) \left( \sum_{k=1}^n b_k^2 \right) $$

$$ x = {-b \pm \sqrt{b^2-4ac} \over 2a} $$

$$
\vec{\nabla} \times \vec{F} =
\left( \frac{\partial F_z}{\partial y} - \frac{\partial F_y}{\partial z} \right) \mathbf{i}
+ \left( \frac{\partial F_x}{\partial z} - \frac{\partial F_z}{\partial x} \right) \mathbf{j}
+ \left( \frac{\partial F_y}{\partial x} - \frac{\partial F_x}{\partial y} \right) \mathbf{k}
$$

$$ \cos(\theta+\phi)=\cos(\theta)\cos(\phi)−\sin(\theta)\sin(\phi) $$

  • $x + y$
  • $x - y$
  • $x \times y$
  • $x \div y$
  • $\dfrac{x}{y}$
  • $\sqrt{x}$
  • $\pi \approx 3.14159$
  • $\pm , 0.2$
  • $\dfrac{0}{1} \neq \infty$
  • $0 < x < 1$
  • $0 \leq x \leq 1$
  • $x \geq 10$
  • $\forall , x \in (1,2)$
  • $\exists , x \notin [0,1]$
  • $A \subset B$
  • $A \subseteq B$
  • $A \cup B$
  • $A \cap B$
  • $X \implies Y$
  • $X \impliedby Y$
  • $a \to b$
  • $a \longrightarrow b$
  • $a \Rightarrow b$
  • $a \Longrightarrow b$
  • $a \propto b$
    • $\bar a$
  • $\tilde a$
  • $\breve a$
  • $\hat a$
  • $a^ \prime$
  • $a^ \dagger$
  • $a^ \ast$
  • $a^ \star$
  • $\mathcal A$
  • $\mathrm a$
  • $\cdots$
  • $\vdots$
  • $#$
  • $$$
  • $%$
  • $&$
  • ${ }$
  • $_$

$$\mathbb{N} = { a \in \mathbb{Z} : a > 0 }$$