数学

EMC

$E = mc^2$

Fibonacci

$F_n = F_{n-1} + F_{n-2}$

fn = n => n < 2 ? n : fn(n-1) + fn(n-2)

Golden ratio

$\phi = \frac{1 + \sqrt{5}}{2}$

Euler’s formula

$e^{i\pi} + 1 = 0$

Fourier series

$ f(t) = a_0 + \sum_{n=1}^{\infty} (a_n \cos(nt) + b_n \sin(nt))$

Fast Fourier Transform

$X_k = \sum_{n=0}^{N-1} x_n e^{-i 2 \pi k n / N}$

Metric prefixes

Name Symbol Base 10 Decimal
quetta Q $10^{30}$ 1000000000000000000000000000000
ronna R $10^{27}$ 1000000000000000000000000000
yotta Y $10^{24}$ 1000000000000000000000000
zetta Z $10^{21}$ 1000000000000000000000
exa E $10^{18}$ 1000000000000000000
peta P $10^{15}$ 1000000000000000
tera T $10^{12}$ 1000000000000
giga G $10^9$ 1000000000
mega M $10^6$ 1000000
kilo k $10^3$ 1000
hecto h $10^2$ 100
deca da $10^1$ 10
    $10^0$ 1
deci d $10^{−1}$ 0.1
centi c $10^{−2}$ 0.01
milli m $10^{−3}$ 0.001
micro $\mu$ $10^{−6}$ 0.000001
nano n $10^{−9}$ 0.000000001
pico p $10^{−12}$ 0.000000000001
femto f $10^{−15}$ 0.000000000000001
atto a $10^{−18}$ 0.000000000000000001
zepto z $10^{−21}$ 0.000000000000000000001
yocto y $10^{−24}$ 0.000000000000000000000001
ronto r $10^{−27}$ 0.000000000000000000000000001
quecto q $10^{−30}$ 0.000000000000000000000000000001