math test
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 }$$