User:Qalle2

Tämän käyttäjän äidinkieli on suomi.

This user can contribute with an advanced level of the English language.

Dieser Benutzer hat grundlegende Deutschkenntnisse.

Denna användare har grundläggande kunskaper i svenska.

I'm Kalle from Finland.

Math notes[edit]

I use these when editing Wikipedia.

$a^{b}a^{c}=a^{b+c},\ {\frac {a^{b}}{a^{c}}}=a^{b-c}$

$a^{c}b^{c}=(ab)^{c},\ {\frac {a^{c}}{b^{c}}}=\left({\frac {a}{b}}\right)^{c}$

$(a^{b})^{c}=a^{bc}$

${\sqrt[{b}]{a}}=a^{\frac {1}{b}}$

$a^{b}=c\ \Leftrightarrow \ a={\sqrt[{b}]{c}}\ \Leftrightarrow \ b=\log _{a}c$

$\log ab=\log a+\log b,\ \log {\frac {a}{b}}=\log a-\log b$

$\log a^{b}=b\cdot \log a$

$\log _{b}a={\frac {\log a}{\log b}}$

$ax^{2}+bx+c=0\ \Leftrightarrow \ x={\frac {-b\pm {\sqrt {b^{2}-4ac}}}{2a}}$

Common expressions (see page source):

$\exp ,\ln ,\log ,\log _{2},\log _{10},\sin ,\cos ,\tan ,\arcsin ,\arccos ,\arctan$
$\alpha ,\beta ,\gamma ,\delta ,\theta ,\mu ,\pi ,\tau ,\phi ,\varphi ,\omega$
$\times ,\cdot ,\pm ,\ldots ,\approx ,\neq ,\leq ,\geq ,\Leftrightarrow$
$a^{b},a^{bc},a_{1},a_{10},{\sqrt {a}},{\sqrt[{b}]{a}}$
${\frac {a}{b}},\left({\frac {a}{b}}\right)^{c},{\binom {a}{b}}$
$a\ b$ (space)