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f1c0ec2e-d47c-4125-b690-1e39f7ae8820 11 9 12 decimal

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

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Extensible image region to insert image objects [multiple images]. Image region does not blank the work sheet grid

Consultant: SPEC InterTech 1952, Bd St,Joseph-West DRUMMONDVILLE [QC] Canada TeL: e-mail:

Client: Geoff Project: Auckland Model/Fit a data set Smath buit-in "al_nleqsolve"

Date: 20018_08_06 Checked by QA: N/A Remarks: exact fit page: 1/1

Utilities

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 :

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 :

data set to fit XY 304 0.03466 5 0.13133 6 0.31904 7 0.60972 8 1.00454 9 1.50201 10 2.10087 11 2.80036 12 3.60015 13 4.50006 112 mat :

The Little Red Riding Hood saved GranMa X0 0.001 1 1 0 1 1 5 mat transpose : sol k 1 β f rows range u k el β k el : for β Jac u f u Jacobian : StepMax 0 : ε 10 6 - ^ : 1 2 mat u X0 StepMax ε β f β Jac al_nleqsolve : 4 1 line : x β Φ β 1 el x * 1 x β 5 el - β 3 el / exp + ln ( β 2 el ^ ( * β 4 el + : β f 7 β Φ 0.60972 - 13 β Φ 4.50006 - 3 β Φ 0.0 - 10 β Φ 2.10087 - 5 β Φ 0.13133 - 5 1 mat : β sol : 0.028705 1.147516 0.972812 0.013686 - 4.459577 5 1 mat = data XY o 5 black plot : Parametric fit 8 1 line

Helper equalities XY 304 0.0347 5 0.1313 6 0.319 7 0.6097 8 1.0045 9 1.502 10 2.1009 11 2.8004 12 3.6002 13 4.5001 112 mat

x β Φ data 3 1 sys

Exact fit from exact data set

Notes . . . Smath 6179

1. solves a system of [n equalities = n parameters.

2. The order of equalities is immaterial.

3. From not knowing more we get an exact fit.

Observe => by how much β's are so ≠ than

those that constructed the data set. Immaterial for

this demo example. This property reflexivity may

blind/fool the solver, left for manual fit.

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