<p> ksmooth # plotG </p>

ccff5ec7-9333-4c55-a14e-f71ff7404e31 14 6 9 decimal

&[DATE] &[TIME] - &[FILENAME]

The Smath Gaussian 'ksmmooth'

vx vy char size color plotG n vx length : plot vx 1 el vy 1 el char size color augment : i 2 n range plot plot vx i el vy i el char size color augment stack : for plot 41 line :

σ 0.3708158988058244 :

The Gaussian ksmooth

d K 12 π * sqrt σ * / d 2^2 σ 2^* / - exp * :

j X Y Ksmooth μ j 11 line : X i el X μ el - bw / K Y i el * (i 1 X rows sum X i el X μ el - bw / K (i 1 X rows sum / 21 line :

Gaussian Ksmooth Kernel

x K

W j 1 X rows range s j el j X Y Ksmooth eval : for s 21 line :

raw samples XY 02116121212209932120421135209862067720718207092056102083112090122072132064142081152074162054172056182058192061202 mat :

Prepare and code the Smath project

X XY 1 col : Y XY 2 col : Yo XY 2 col : 31 line

bw 6 : bandwidth ≡ XW X W augment : vx X : vy XW 2 col : 41 line

XW vx vy o 7 red plotG : XY X Yo + 7 black plotG : 21 line

===== Finish/collect the project =====

x Decay 2053.7374 70.0025 x - 8.0493 / exp * + :

spline join/mesh the smoothed data set Cfit t 019 0.1 range : i 1 t rows range v i el vx vy t i el cinterp eval : for t v augment 31 line :

collect plot plot Cfit XY x Decay XW 41 sys :

XY=>raw data, XW=>smoothed data, Cfit=> meshed spline export

plot

Much longer data set may be collapsed, or read from user SmathFile. ksmooth is very greedy calcul !