<p>. Gray </p>

0e78ef43-53f2-4848-97ef-8d866bfb5271 6 4 5 decimal

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

Identify each component

4 appVersion 0.98.6179.21440 ≡

? ratio.Am.b_V 70102^* : ratio.Am_V 107102^* : k.sh 0.9 ratio.Am.b_V ratio.Am_V / * : 31 sys

? ρ.a 7850 : α.c 25 : σ 5.67 108^/ : 31 sys

? Φ 1.0 : ε.m 0.7 : ε.f 1.0 : 31 sys

k.sh 0.5888

t θ.g 203458 t * 1 + log10 * + :

C.a 425 7.73 101^/ θ.a * + 1.69 103^/ θ.a 2^* - 2.22 106^/ θ.a 3^* + 66613002738 θ.a - / + 54517820 θ.a 731 - / + 65041 mat :

system segments specifications

join 0 24.36475 35.7945 54.7 12051 mat :

init 2060073590041 mat :

pts 200100100100041 mat :

original 24.4 ... 35.8

t0 1 time :

collect the piecewise DE ... export vector algo style  d(t,θ.a) i 1 C.a length range d i el k.sh C.a i el ρ.a * / ratio.Am_V * α.c t θ.g θ.a - (* Φ ε.m * ε.f * σ * t θ.g (4^θ.a 4^- (* + (* : for

solving vector t θ.a d d :

collect the piecewise DE solutions from incremented "for loop" s 1 : (auto-incrementing counter, accumulates sols in Res[s] ≡ i 2 join length range Res s el init s el join s el join i el pts s el t θ.a d s el dn_GearsBDF : s s 1 + : 21 line for 21 line

correct

collect the piecewise DE solutions from incremented "for loop" s 1 : (auto-incrementing counter, accumulates sols in Res[s] ≡ i 2 join length range 11 mat Res s el init s el join s el join i el pts s el t θ.a d s el dn_GearsBDF : s s 1 + : 21 line for 21 line

bug

You need that one for scaling grayscale image M lo hi Scale hi lo - (M M Min - M Max M Min - / (* lo + :

≠ 1 elliptic either 
direction X, Y α 1.5 :

x0 0 : y0 0 : σ1 1 : σ2 1 : 14 mat

... typical setup for symmetric f(x,y). x y Φ L H n Sym U 0 : V 0 : 12 mat dx H L - n / : i 1 n 1 + (range U i el L dx i * dx - (+ eval : V i el L dx i * dx - (+ eval : 21 line for symmetric Gaussian r 1 : i 1 U rows range c 1 : j 1 V rows range M r c el U i el α V j el (* Φ eval : c c 1 + : 21 line for r r 1 + : 31 line for M 71 line :

recast center spot x y Φ x x0 - σ1 / (2^y y0 - σ2 / (2^+ (- exp :

both 'n' = ... n 64 :

spot x y Φ 5 - 5 n Sym : Spot spot 0255 Scale : 21 sys

cntr_spot x y Φ 1.5 - 1.5 n Sym : CNTR_spot cntr_spot 0255 Scale : 21 sys

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data char size clr plot k 1 data rows range r3 k el char : r4 k el size : r5 k el clr : 13 mat for data r3 r4 r5 augment 21 line :

V n rnd V n round :

data 0.175 317.303 0.1783 315.2141 0.2013 300.5918 0.2013 300.5918 0.2578 265.3591 0.3383 219.2655 0.3383 219.2655 0.4291 174.2471 0.5221 133.1614 0.5221 133.1614 0.6121 96.9537 0.7 67.9999 0.7 67.9999 0.7875 48.6602 0.875 39.8 0.875 39.8 0.9625 41.5013 1.05 52.2049 1.05 52.2049 1.1375 69.8787 1.225 92.2395 1.225 92.2395 1.3125 116.6746 1.4 139.5052 1.4 139.5052 1.4875 156.9021 1.575 165.5015 1.575 165.5015 1.6625 162.9198 1.75 150.2288 1.75 150.2288 1.8375 129.7698 1.925 105.5054 1.925 105.5054 2.0125 81.5624 2.1 61.1021 2.1 61.1021 2.1875 46.8501 2.275 40.756 2.275 40.756 2.3625 44.4316 2.45 58.9132 2.45 58.9132 2.5375 84.7074 2.625 120.7769 2.625 120.7769 2.7125 165.0492 2.8 212.8538 2.8 212.8538 2.8875 258.7324 2.975 296.6717 2.975 296.6717 3.0625 321.2105 3.15 329.6506 3.15 329.6506 3.2375 320.7014 3.325 295.9398 3.325 295.9398 3.4125 258.155 3.5 212.1164 3.5 212.1164 3.5875 163.176 3.675 117.0368 3.675 117.0368 3.7625 78.6706 3.85 49.7748 3.85 49.7748 3.9375 30.6099 4.025 18.9652 4.025 18.9652 4.1089 12.265 4.1708 8.9445 4.1708 8.9445 4.1964 7.7382 4.2 7.5659 752 mat :

data n rx ry Decimate collect every 'n' pairs range 1 data rows n range : k 1 : i range u k el data i 1 el : v k el data i 2 el : k k 1 + : 31 line for u rx rnd vectorize v ry rnd vectorize augment 31 line 31 line :

data list ListCollect collects index list select list : ct 1 : i select a ct el data i 1 el : b ct el data i 2 el : ct ct 1 + : 31 line for a b augment 51 line :

New data 432 Decimate :

New 0.175 317.3 0.201 300.59 0.338 219.27 0.522 133.16 0.7 68 0.875 39.8 1.05 52.2 1.225 92.24 1.4 139.51 1.575 165.5 1.75 150.23 1.925 105.51 2.1 61.1 2.275 40.76 2.45 58.91 2.625 120.78 2.8 212.85 2.975 296.67 3.15 329.65 3.325 295.94 3.5 212.12 3.675 117.04 3.85 49.77 232 mat

clear ln0 undefined ε 1012 -^:

XY ε 0.78 0.51 0.8 0.82 0.92 1.02 1.14 1.23 1.26 1.43 1.28 1.85 1.22 2.05 1.16 2.36 1.12 4.52 1.08 9.22 1.08 112 mat :

1. selct the support points
2. collect for al_nleqsolve list 135914 mat : xy XY list ListCollect : 21 sys

raw XY o 5 black plot : sp xy . 14 blue plot : 21 line

sp raw 2 1 sys

data Strip nest stripped in 'R' u data 1 col : v data 2 col : k 0 : i 1 data rows 1 - range v i 1 + el v i el ≤ (v i 1 + el v i el ≥ (¤ R k k 1 + : el u i el v i el 12 mat : 11 line Undefined if 11 line for 21 line Un-nest R v R 1 el : j 2 R rows range v v R j el stack : for v 81 line :

Ω data Strip :

Ω 0.175 317.303 0.1783 315.2141 0.2013 300.5918 0.2578 265.3591 0.3383 219.2655 0.4291 174.2471 0.5221 133.1614 0.6121 96.9537 0.7 67.9999 0.7875 48.6602 0.875 39.8 0.9625 41.5013 1.05 52.2049 1.1375 69.8787 1.225 92.2395 1.3125 116.6746 1.4 139.5052 1.4875 156.9021 1.575 165.5015 1.6625 162.9198 1.75 150.2288 1.8375 129.7698 1.925 105.5054 232 mat

Gray 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mat :

ideally, the digitizer should produce
same number of rows Y as there are cols
in 'Gray'. Even so, duplicates are produced
that must be further stripped  StripX(data) λ 166 : 11 sys

Digitize an image

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N i 1 Gray rows range j 1 Gray cols range N i j el 0 Gray i j el λ ≤ 255 cases : for for N 21 line :

N N :

Gray cols 266

Digitizer [X,Y] r N rows : c N cols : k 1 : i 1 c range j 1 r range N j i el 1 ≤ X k el i : Y k el r j - : k k 1 + : 31 line No pixel if for for 41 line

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data StripX nest stripped in 'R' u data 1 col : v data 2 col : k 0 : i 1 data rows 1 - (range u i 1 + el u i el - 0 ≠ R k k 1 + : el u i el v i el 12 mat : 11 line StripX done if 11 line for Un-nest R v R 1 el : j 2 R rows range v v R j el stack : for v 91 line :

XY X Y augment : xy XY StripX : 21 line

XY rows xy rows 21 mat 26619521 mat

XY 314151627284951071181210129131213111415141415201519162417291728172718341833232 mat

xy 314151627284951071181291311141415191624172718331937204021432246234924502550232 mat