User:Qalle2

Wikipedia:Babel

fiTämän käyttäjän äidinkieli on suomi.

en-3This user can contribute with an advanced level of English.

de-1Dieser Benutzer hat grundlegende Deutschkenntnisse.

sv-1Den här användaren har grundläggande kunskaper i svenska.

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I'm Kalle from Finland.

Math notes

I use these when editing Wikipedia.

Powers

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

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

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

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

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

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

Powers and roots

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

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

Powers and logarithms

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

$\log ab=\log a+\log b$

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

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

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

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

Quadratic equation

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

LaTeX (<math>)

Common expressions (see page source):

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