TESLA data

b13d6f16-9ef5-4733-bb5a-e639a472db4d 6 4 5 decimal

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

TESLA data

a1 0010 0.227 20 0.537 30 0.796 40 1.044 50 1.279 60 1.495 70 1.698 80 1.894 90 2.085 100 2.278 110 2.476 120 2.679 130 2.889 140 3.103 150 3.324 160 3.549 170 3.779 180 4.015 190 4.225 200 4.5 210 4.749 222 mat :

b1 0010 0.088 20 0.18 30 0.277 40 0.393 50 0.5 60 0.631 70 0.776 80 0.932 90 1.1 100 1.28 110 1.46 120 1.66 130 1.86 140 2.07 150 2.28 160 2.5 170 2.71 180 2.93 190 3.15 200 3.38 210 3.6 220 3.84 230 4.07 240 4.3 252 mat :

c1 0010 0.031 20 0.063 30 0.096 40 0.132 50 0.17 60 0.216 70 0.262 80 0.324 90 0.4 100 0.5 110 0.622 120 0.764 130 0.923 140 1.098 150 1.278 160 1.466 170 1.659 180 1.857 190 2.059 200 2.265 210 2.474 220 2.687 230 2.902 240 3.119 250 3.338 260 3.558 270 3.779 282 mat :

d1 0060 0.032 70 0.064 80 0.097 90 0.133 100 0.17 110 0.211 120 0.26 130 0.321 140 0.4 150 0.5 160 0.626 170 0.773 180 0.935 190 1.105 200 1.278 210 1.449 220 1.62 230 1.8 240 1.991 250 2.2 260 2.428 270 2.668 280 2.907 290 3.132 300 3.333 262 mat :

e1 00110 0.027 120 0.055 130 0.086 140 0.12 150 0.16 160 0.206 170 0.262 180 0.327 190 0.406 200 0.5 210 0.61 220 0.736 230 0.876 240 1.028 250 1.2 260 1.362 270 1.543 280 1.734 290 1.936 300 2.15 310 2.375 320 2.611 330 2.853 340 3.1 252 mat :

f1 00160 0.036 170 0.073 180 0.112 190 0.154 200 0.2 210 0.251 220 0.309 230 0.376 240 0.456 250 0.55 260 0.661 270 0.787 280 0.928 290 1.081 300 1.25 310 1.428 320 1.614 330 1.807 340 2.003 350 2.2 360 2.396 370 2.591 375 2.687 242 mat :

i1 00310 0.016 320 0.035 330 0.061 340 0.1 350 0.15 360 0.218 370 0.3 375 0.347 92 mat :

h1 00260 0.025 270 0.053 280 0.088 290 0.132 300 0.19 310 0.263 320 0.346 330 0.444 340 0.546 350 0.65 360 0.755 370 0.859 375 0.911 142 mat :

g1 00210 0.033 220 0.067 230 0.106 240 0.149 250 0.2 260 0.26 270 0.329 280 0.408 290 0.498 300 0.6 310 0.713 320 0.837 330 0.968 340 1.11 350 1.25 360 1.4 370 1.55 375 1.62 192 mat :

a1 a1 2 a1 rows range 12 range el : b1 b1 2 b1 rows range 12 range el : c1 c1 2 c1 rows range 12 range el : d1 d1 2 d1 rows range 12 range el : e1 e1 2 e1 rows range 12 range el : f1 f1 2 f1 rows range 12 range el : g1 g1 2 g1 rows range 12 range el : h1 h1 2 h1 rows range 12 range el : i1 i1 2 i1 rows range 12 range el : 91 sys

a1 b1 c1 d1 e1 f1 i1 h1 g1 19 mat

data char size clr plot k 1 data rows range r3 k el char : r4 k el size : r5 k el clr : 31 line for data r3 r4 r5 augment 21 line :

size 5 :

a1 a1 2 col a1 1 col augment : b1 b1 2 col b1 1 col augment : c1 c1 2 col c1 1 col augment : d1 d1 2 col d1 1 col augment : e1 e1 2 col e1 1 col augment : f1 f1 2 col f1 1 col augment : g1 g1 2 col g1 1 col augment : h1 h1 2 col h1 1 col augment : i1 i1 2 col i1 1 col augment : 91 sys

plot a a1 o size blue plot : b b1 o size red plot : c c1 o size green plot : d d1 o size magenta plot : e e1 o size orange plot : f f1 o size black plot : g g1 o size blue plot : h h1 o size red plot : i i1 o size green plot : 91 sys :

e1 11 mat 0.027 110 0.055 120 0.086 130 0.12 140 0.16 150 0.206 160 0.262 170 0.327 180 0.406 190 0.5 200 0.61 210 0.736 220 0.876 230 1.028 240 1.2 250 1.362 260 1.543 270 1.734 280 1.936 290 2.15 300 2.375 310 2.611 320 2.853 330 3.1 340242 mat 11 mat

d1 2 col d1 1 col augment 11 mat 60 0.032 70 0.064 80 0.097 90 0.133 100 0.17 110 0.211 120 0.26 130 0.321 140 0.4 150 0.5 160 0.626 170 0.773 180 0.935 190 1.105 200 1.278 210 1.449 220 1.62 230 1.8 240 1.991 250 2.2 260 2.428 270 2.668 280 2.907 290 3.132 300 3.333 252 mat 11 mat

plot Genfit Utilities

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

Error stem plot for QuickPlot unicolor data Error stemX 1 data rows range : i 1 stemX rows range stem i el data i 1 el data i 2 el data i 1 el 022 mat : for i 1 stem rows 1 - range stem i el stem i el stem i 1 + (1 el 1 el 012 mat stack : for V stem 1 el : j 2 stem rows 1 - range V V stem j el stack : for V V data data rows row stack : 71 line :

Applicable parts are: Optimiz "numeric" XY f φ β Minimize X XY 1 col : Y XY 2 col : n XY rows : k x β φ length 1 - : vx-> raw initial vector fit i 1 X length range vx i el X i el β f eval : for M-> Cholesky GradientMatrix j 1 k range i 1 n range M i j el X i el β φ j 1 + el eval : for for CholeskySolver LeastSquares Φ M transpose M * : d M transpose Y vx - (* : Δβ Φ 1 -^eval d * : b β Δβ + : 131 line :

L H N xd U 0 : dx H L - N / : i 1 N 1 + range U i el L dx - (dx i * + : for U 41 line :

Module xd(L,H,N) is a discretiser for use in-situ [user spec's]: range [L,H], density [N].

Vector gradient ... Optimiz Symbolic x β f n φ ct 1 : i 1 n range PD ct el x β f (β ct el diff : stack f(x,β) & PD V 1 el x β f : V i 1 + el PD i el : 21 line ct ct 1 + : 41 line for V 31 line :

Bar plot unicolor style, bar width user. data dt BarSize v data 2 col : t v bar t dt - 0 t dt - v t dt + v t dt + 042 mat : j 1 data rows range j 1 ≡ B data j 1 el data j 2 el bar : B B data j 1 el data j 2 el bar stack : if 11 line for B 41 line :

data char size clr plot k 1 data rows range r3 k el char : r4 k el size : r5 k el clr : 31 line for data r3 r4 r5 augment 21 line :

Tesla explorer Tesla e1 :

a1 b1 c1 d1 e1 f1 i1 h1 g1 19 mat

XY Tesla 2 col Tesla 1 col augment : data XY o 5 black plot : X XY 1 col : Y XY 2 col : n XY rows : 13 mat 31 line

ε 1012 -^:

XY 110 0.027 120 0.055 130 0.086 140 0.12 150 0.16 160 0.206 170 0.262 180 0.327 190 0.406 200 0.5 210 0.61 112 mat

Model function x β f β 1 el x ε + (X 1 el - (β 2 el^* Y 1 el + :

<= ConjugateGradient Vector Fnct x β φ x β f 2 φ :

β β 1 el 0.01 2.1 21 mat : iter 7 : i 1 : i iter ≤ β i 1 + el XY f φ β i el Minimize : i i 1 + : 21 line while β β iter el : 51 line :

β β :

β 0.000072 1.961643 21 mat

L X 1 el : H X X rows el : N 200 : 13 mat U L H N xd : 21 line

Absolute  residuals δ j 1 XY rows range Δ j el Y j el X j el β f - eval : for X Δ augment 21 line :

FIT i 1 U rows range vy i el U i el β f eval : for U vy augment 21 line :

bar δ Error :

FIT x β f X 1 el 1 X 1 el 1 - 2 2 mat data 4 1 sys bar 0 2 1 sys

Reconciliation:

This model [2 parameters] is adequate to fit the family of data.

Experimental data are just data, uncertain enough to mislead.

Those data, in particular, suffer poor spline junction from the

lab equipment and or poor software that interpolated the points.

The model is essentially a 2 paramaters function that adjusts

the pseudo-parabola on the initial data ...

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α 10 0.088 21 mat 10 0.031 21 mat 60 0.032 21 mat 110 0.027 21 mat 160 0.036 21 mat 210 0.033 21 mat 260 0.025 21 mat 310 0.016 21 mat 18 mat :

β 0.002944 1.337339 21 mat 0.00015 1.82577 21 mat 0.000105 1.892539 21 mat 0.000072 1.961643 21 mat 0.000136 1.841527 21 mat 0.000321 1.666505 21 mat 0.000574 1.549974 21 mat 0.000193 1.78154 21 mat 18 mat :

Model: 2 constants, 2 parameters x α β f β 1 el x α 1 el - (β 2 el^* α 2 el + :

if/otherwise u(x)

x u1 110 x ≤ (x 240 ≤ (& cases : x u2 110 x ≤ (x 270 ≤ (& cases : x u3 160 x ≤ (x 300 ≤ (& cases : x u4 1110 x ≤ (x 340 ≤ (& cases : x u5 1160 x ≤ (x 375 ≤ (& cases : x u6 1210 x ≤ (x 375 ≤ (& cases : x u7 1260 x ≤ (x 375 ≤ (& cases : x u8 1310 x ≤ (x 375 ≤ (& cases : 81 sys

collect x α 11 el β 11 el f x u1 * x α 12 el β 12 el f x u2 * x α 13 el β 13 el f x u3 * x α 14 el β 14 el f x u4 * x α 15 el β 15 el f x u5 * x α 16 el β 16 el f x u6 * x α 17 el β 17 el f x u7 * x α 18 el β 18 el f x u8 * 105010 x + / 37553751 - 22 mat 101 sys :

Family of the model that fits the data sets

collect