<p> ksmooth # plotG </p>

50532bb9-f8d8-4089-9d9c-0c60014cfc5d 4 4 5 decimal

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

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 :

XY 0.03 1.27 0.31 1.17 0.40 1.07 0.47 0.95 0.53 0.82 0.57 0.71 0.60 0.58 0.63 0.47 0.64 0.37 0.65 0.26 0.67 0.13 112 mat :

The Gaussian ksmooth

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

bw 0.025 : (bandwidth ≡ XW X 0.03 - W augment : vx X 0.03 - : vy XW 2 col : 41 line

XW 0 1.27 0.28 1.17 0.37 1.07 0.44 0.95 0.5 0.82 0.54 0.709 0.57 0.58 0.6 0.424 0.61 0.367 0.62 0.299 0.64 0.143 112 mat

XW vx vy o 6 black plotG : XY X Yo + 7 black plotG : 21 line

===== Finish/collect the ksmooth =====

spline join/mesh the smoothed data set Cfit t 0 0.656 0.01 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 XW 31 sys :

plot

vx vy 0.656 cinterp 0.0053 -