<p> plot(data,#,size,#) </p>

5c87ef03-a2e5-4f69-bfc0-3d7e24c2b06d 93 4 5 decimal

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

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 :

f(x,β) NOT compatible: L-M, Genfit Conjugate Gradient

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XY 2 0.8 2.4 0.8 2.8 0.8 2.91 0.8 2.92 0.797 2.93 0.759 2.94 0.664 2.95 0.568 2.96 0.506 2.97 0.472 2.98 0.456 2.99 0.448 3 0.444 3.2 0.444 3.6 0.444 4 0.444 162 mat :

X XY 1 col : Y XY 2 col : 12 mat xy XY . 12 black plot : 21 line

NOT compatible Smath Conjugate Gradient x β f 1 β 1 el x β 4 el - (β 2 el x β 4 el - (β 3 el x * -^*^* β 5 el + / :

β 11172 1.25 51 mat :

Q U 2.8 3.2 2.801 range : j 1 U rows range vy j el U j el β f eval : for U vy augment 31 line :

Transmute model fit ... for undocumented reaction/reactants

xy Q 2.94 0.664 + 100 blue 1 5 mat 3 1 sys

Σ X 2.8 3.2 2.81 range : i 1 X rows range cumul i el x β f x X 1 el X i el int eval : for X cumul augment 31 line :

Σ Σ :

Σ Σ rows row 3.2 0.2297 12 mat

Near vertical @ datum '0', bracket wisely. x β f (x 2 diff 0 ≡ x 2.93 2.95 solve 2.93953274140233

2.939533 β f 0.669072

Improve root accuracy

Locate the point of inflexion diff((f(x,β)),x,2) scaled 0.01

x β f x diff 0.01 x β f x 2 diff * 2.9395 20 2.9395 20 - 2 2 mat 3 1 sys

x f x β f x 2 diff :

a 2.93 : b 2.95 : xn b a + (2 / : 31 line

ε 1010 -^:

Dichotomy n 0 : xn f abs ε > xn f a f * 0 ≤ b xn : a xn : if xn b a + (2 / : n n 1 + : 31 line while 31 line

xn 2.9395326457237

xn f 7.6 1011 -^*

n 84

NOT compatible Smath Conjugate Gradient x β xo f 1 β 1 el x xo - (β 2 el x xo - (β 3 el x * -^*^* β 4 el + / :

β 1117 1.25 41 mat :

Transmute model fit ... for undocumented reaction/reactants

x β 1.95 f x β 1.975 f x β 2 f x β 2.025 f x β 2.05 f 5 1 sys