mirror of
https://github.com/jackyzha0/quartz.git
synced 2025-12-24 21:34:06 -06:00
7 lines
425 B
Markdown
7 lines
425 B
Markdown
#math/calculus
|
|
|
|
$|x|<1$
|
|
$\left(\begin{array}{l}\alpha \\ k\end{array}\right)=\frac{\alpha !}{k !(\alpha-k) !}$
|
|
$\begin{aligned}(1+x)^{\alpha} &=\sum_{k=0}^{\infty}\left(\begin{array}{l}\alpha \\ k\end{array}\right) x^{k} \\ &=1+\alpha x+\frac{\alpha(\alpha-1)}{2 !} x^{2}+\frac{\alpha(\alpha-1)(\alpha-2)}{3 !} x^{3}+\cdots, \end{aligned}$
|
|
|
|
[Binomial series - Wikipedia](https://en.wikipedia.org/wiki/Binomial_series#math_1) |