User:Collabi/Sandbox

$$\mbox{amount}=\frac{\mbox{mixAmount}^2}{\mbox{totalAmount}[j]} \,$$

$$\mbox{amount}=\frac{\mbox{mixAmount}}{\mbox{totalAmount}[j]} \,$$

$$\frac{a}{\sqrt{a}}=\sqrt{a}$$

$$360 \left (\frac{\mbox{distance}}{2 \pi r}\right )$$

$$\overrightarrow{ A } + \overrightarrow{ V } t = \overrightarrow{ P } t$$

$$t = \frac{ -\overrightarrow{A}\cdot\overrightarrow{V} \pm \sqrt{(\overrightarrow{A}\cdot\overrightarrow{V})^2 - (\overrightarrow{V}^2-\overrightarrow{P}^2)\overrightarrow{A}^2}}{\overrightarrow{V}^2-\overrightarrow{P}^2} $$

$$ \frac{B}{t} + V = \frac{ B + Vt }{t} \neq \frac{ B + V }{t} $$

$$N_t = N_0 \pi^{-\lambda t} \,$$

$$ 10.2\cdot10^{9} = 40\cdot10^{6} \log_2 \left( 1+\frac{S}{N} \right) $$

$$ 2^{\frac{10.2\cdot10^{3}}{40}} - 1 = \frac{S}{N} \approx 5.79\cdot10^{76} $$

$$ 2^{\frac{3\cdot10^{3}}{40}} - 1 = \frac{S}{N} \approx 3.778\cdot10^{22} $$