User:Qalle2

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 (&lt;math&gt;)
Common expressions (see page source):
 * $$\exp, \ln, \log, \log_2, \log_{10}, \sin, \arcsin$$
 * $$\alpha, \beta, \gamma, \delta, \theta, \mu, \pi, \tau, \phi, \varphi, \omega$$
 * $$\times, \cdot, \pm, \ldots, \approx, \ne, \le, \ge, \Leftrightarrow$$
 * $$a^b, a^{bc}, a_1, a_{10}, \sqrt{a}, \sqrt[b]{a}$$
 * $$\frac{a}{b}, \left ( \frac{a}{b} \right )^c, \binom{a}{b}$$
 * $$a\ b, 45^{\circ}, \text{blahblah}$$ (space, degree sign, text)

See also: Help:Displaying_a_formula