I'm Kalle from Finland.

Math notes

I use these when editing Wikipedia.

Powers

${\displaystyle a^{b+c}=a^{b}a^{c}}$

${\displaystyle a^{b-c}={\frac {a^{b}}{a^{c}}}}$

${\displaystyle a^{-b}={\frac {1}{a^{b}}}}$

${\displaystyle (ab)^{c}=a^{c}b^{c}}$

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

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

Powers and roots

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

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

Powers and logarithms

${\displaystyle b=\log _{a}c\ \Leftrightarrow \ a^{b}=c}$

${\displaystyle \log ab=\log a+\log b}$

${\displaystyle \log {\frac {a}{b}}=\log a-\log b}$

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

${\displaystyle \log {\sqrt[{b}]{a}}={\frac {\log a}{b}}}$

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

Quadratic equation

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

LaTeX (<math>)

Common expressions (see page source):

• ${\displaystyle \exp ,\ln ,\log ,\log _{2},\log _{10},\sin ,\arcsin }$
• ${\displaystyle \alpha ,\beta ,\gamma ,\delta ,\theta ,\mu ,\pi ,\tau ,\phi ,\varphi ,\omega }$
• ${\displaystyle \times ,\cdot ,\pm ,\ldots ,\approx ,\neq ,\leq ,\geq ,\Leftrightarrow }$
• ${\displaystyle a^{b},a^{bc},a_{1},a_{10},{\sqrt {a}},{\sqrt[{b}]{a}}}$
• ${\displaystyle {\frac {a}{b}},\left({\frac {a}{b}}\right)^{c},{\binom {a}{b}}}$
• ${\displaystyle a\ b,45^{\circ },{\text{blahblah}}}$ (space, degree sign, text)

See also: Help:Displaying_a_formula#Formatting_using_TeX

See also

• my contributions
• my Finnish user page
• my Wiktionary user page
• my Wikimedia Commons user page
• my home page