<p> ksmooth # plotG </p>

50532bb9-f8d8-4089-9d9c-0c60014cfc5d 8 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 :

M Low High Scale High Low - (M M Min - M Max M Min - / (* Low + :

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 : 21 line

bw 0.025 : (bandwidth ≡ XW X 01 Scale W 01 Scale augment : vx XW 1 col : vy XW 2 col : 12 mat 31 line

XW 01 0.438 0.911 0.578 0.823 0.688 0.716 0.781 0.601 0.844 0.503 0.891 0.388 0.938 0.25 0.953 0.199 0.969 0.139 10112 mat

XW vx vy . 14 blue plotG :

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

x J 0.51153 x * 1.69058 + 0.977003 x 1.42051 - 4.84097 103 -^* x 0.971298 - 6.28577 102 -^* x 0.646727 - / + / - / + :

spline join/mesh the smoothed data set Cfit t 01 0.01 range : i 1 t rows range v i el t i el J eval : for t v augment 31 line :

collect plot plot Cfit XW 31 sys :

plot

x c 10 x ≤ (x 1 ≤ (& cases :

Imperfect digitizing ... !

x J x diff x c *

x J 0.51153 x * 1.69058 + 0.977003 x 1.42051 - 4.84097 103 -^* x 0.971298 - 6.28577 102 -^* x 0.646727 - / + / - / + :