| Description | LaTeX | Result |
|---|---|---|
| Basic operators |
+, -, \times, \cdot, \sqrt{x}, \frac{\sqrt[4]{y}}{z}, \pm, \div, x_z^y
|
$$+, -, \times, \cdot, \sqrt{x}, \frac{\sqrt[4]{y}}{z}, \pm, \div, x_z^y$$ |
| Comparisons |
<, \leq, \geq, >, \approx, \equiv, \cong, \simeq, \sim, \not\sim, \propto,
\neq
|
$$<, \leq, \geq, >, \approx, \equiv, \cong, \simeq, \sim, \not\sim, \propto, \neq$$ |
| Integrals and sums |
\int_{0}^{\infty} f(x) \mathrm{d}x \leq \sum_{k=0}^{\infty} f(kx)
|
$$\int_{0}^{\infty} f(x) \mathrm{d}x \leq \sum_{k=0}^{\infty} f(kx)$$ |
| Derivatives and limits |
\frac{\partial}{\partial x} = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}
|
$$\frac{\partial}{\partial x} = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}$$ |
| Variables |
\vec x, \mathbf x, \dot \varepsilon, \ddot x, \breve A, \hat \varphi, \bar \Delta,
\ell ', \tilde
\vartheta, \check \jmath \in
\mathbb{R}^3
|
$$\vec x, \mathbf x, \dot \varepsilon, \ddot x, \breve A, \hat \varphi, \bar \Delta, \ell ', \tilde \vartheta, \check \jmath \in \mathbb{R}^3$$ |
| Misc. vector operators |
x \bot y \, \| \, 2 y \Rightarrow x \cdot y = 0 \iff \angle(x, y) =
\frac{\pi}{2}
|
$$x \bot y \, \| \, 2 y \Rightarrow x \cdot y = 0 \iff \angle(x, y) = \frac{\pi}{2}$$ |
| Matrices |
\det\begin{bmatrix}1 & \dotsb & 2 \\ \vdots & \ddots & \vdots \\ 5
&
\dotsb & 7 \end{bmatrix} \neq \left|\begin{matrix}1 & 2 \\ 3 &
4\end{matrix}\right|
|
$$\det\begin{bmatrix}1 & \dotsb & 2 \\ \vdots & \ddots & \vdots \\ 3 & \dotsb & 4 \end{bmatrix} \neq \left|\begin{matrix}1 & 2 \\ 3 & 4\end{matrix}\right|$$ |
| Logic |
\exists ~ \varrho : \varrho \leq \nabla f \lor 1 = 1 \iff \varrho \not\in
\emptyset
\subseteq A \: \forall A \land 1 = 2
|
$$\exists ~ \varrho : \varrho \leq \nabla f \lor 1 = 1 \iff \varrho \not\in \emptyset \subseteq A \: \forall A \land 1 = 2$$ |
| Set operators |
A\in\{\} \not\Leftarrow A \cap B = \emptyset \iff |A+B| = |A \cup B|
|
$$A\in\{\} \not\Leftarrow A \cap B = \emptyset \iff |A+B| = |A \cup B|$$ |
| Cases |
\begin{cases}x^2 & x \in \mathbb Q \\ -x^2 & x \not \in \mathbb
Q\end{cases}
|
$$\begin{cases}x^2 & x \in \mathbb Q \\ -x^2 & x \not \in \mathbb Q\end{cases}$$ |
| Misc. set operators |
\bigcup_{k=1}^n A_k^\star = \left(\bigcap_{k=1}^n A_k\right)^\star
|
$$\bigcup_{k=1}^n A_k^\star = \left(\bigcap_{k=1}^n A_k\right)^\star$$ |
| Alignment |
\begin{align}x^2 &= x \cdot x \\ &= (-x)(-x) = (-x^2) \end{align}
|
$$\begin{align}x^2 &= x \cdot x \\ &= (-x)(-x) = (-x^2) \end{align}$$ |
| Text |
\mathcal O \mathfrak F \mathscr C \text{, MathJax doesn't like åäö.}
|
$$\mathcal O \mathfrak F \mathscr C \text{, MathJax doesn't like åäö.}$$ |
| Over and under |
\overbrace{\prod_{\underset{\sqrt n \not \in \mathbb N}{n = 1}}^{12} \sqrt
n}^{\text{> 0}} = \underbrace{3647.6841\ldots}_{\text{Probably irrational}}
|
$$\overbrace{\prod_{\underset{\sqrt n \not \in \mathbb N}{n = 1}}^{12} \sqrt n}^{\text{> 0}} = \underbrace{3647.6841\ldots}_{\text{Probably irrational}}$$ |