Differences

This shows you the differences between two versions of the page.

Link to this comparison view

Both sides previous revision Previous revision
epanechnikov-like_bump_._pdf [2015/11/10 17:58]
nikolaj
epanechnikov-like_bump_._pdf [2015/11/10 18:08] (current)
nikolaj
Line 2: Line 2:
 ==== Function ==== ==== Function ====
 | @#55CCEE: context ​    | @#55CCEE: $x_0,​d:​{\mathbb R}$ | | @#55CCEE: context ​    | @#55CCEE: $x_0,​d:​{\mathbb R}$ |
-| @#FF9944: definition ​ | @#FF9944: $k_n:​{\mathbb N}\to{\mathbb R}\to{\mathbb R}_{\ge 0}$ |+| @#FF9944: definition ​ | @#FF9944: $k_n:​{\mathbb N}_{\ge 0}\to{\mathbb R}\to{\mathbb R}_{\ge 0}$ |
 | @#FF9944: definition ​ | @#FF9944: $k_n(x):​=\begin{cases} \dfrac{1}{2d}\left(1+\dfrac{1}{2n}\right)\left(1-\left(\dfrac{x-x_0}{d}\right)^{2n}\right) &​\hspace{.5cm} \mathrm{if}\hspace{.5cm} \vert x \vert\le 1 \\\\ 0 \hspace{.5cm} &​\hspace{.5cm} \mathrm{else} \end{cases} $ | | @#FF9944: definition ​ | @#FF9944: $k_n(x):​=\begin{cases} \dfrac{1}{2d}\left(1+\dfrac{1}{2n}\right)\left(1-\left(\dfrac{x-x_0}{d}\right)^{2n}\right) &​\hspace{.5cm} \mathrm{if}\hspace{.5cm} \vert x \vert\le 1 \\\\ 0 \hspace{.5cm} &​\hspace{.5cm} \mathrm{else} \end{cases} $ |
  
Link to graph
Log In
Improvements of the human condition