plot(data,char,size,color)

2320ab36-adfe-41ce-89e5-4dc7ee478118 16 3 12 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 : 13 mat for data r3 r4 r5 augment 21 line :

Thiele(X,Y,Δ) ... algo

X Y Δ Thiele ε 1018 -^: n X rows : i 1 n range M i 1 el Y i el : for j 2 n range i j n range dM M i j 1 - el M j 1 - j 1 - el - : dM dM abs ε < ε M i j el X i el X j 1 - el - dM / : if : 21 line for for i 1 n range c i 1 el X i el : c i 2 el M i i el : 21 line for Δ 0 ≡ c M if 61 line :

XY 0.012753044 2 - 0.034996035 1.5 - 0.098309407 1 - 0.295896498 0.5 - 0.855198242 0 1.373475218 0.5 1.672009191 1 1.870874544 1.5 2.018432627 292 mat :

Thiele Procedure . . . exceptional rendering

This is the original Procedure from Robert/Jean [MCD 11].

This example fits the dual monotonous data set. More of

dual monotonous should be explored. This short procedure

enables to construct/export user project(s).

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'j' governs"
Cfr(K,X,x) j XY rows :

Cfr(K,X,x) ..... Optimiz NONE

Thiele on length of support points 'j' K X x Cfr N j 1 + el K j 1 + el : c j el N j el : a j el K j el : jj j 1 - (0 range c jj el a jj 1 + el : a jj el K jj el x X jj el - c jj el / + : 21 line for a 1 el 51 line :

Optimiz NONE Thiele continued fraction algo style K X x Cfr K 1 el x X 1 el - K 2 el x X 2 el - K 3 el x X 3 el - K 4 el x X 4 el - K 5 el x X 5 el - K 6 el x X 6 el - K 7 el x X 7 el - K 8 el x X 8 el - K 9 el / + / + / + / + / + / + / + / +

recast the Cfr(K,X,x) on the system  [K,X,x] x f K X x Cfr :

X XY 1 col : Y XY 2 col : 12 mat support XY . 14 black plot : x c 1 X 1 el x ≤ (x X 9 el ≤ (& cases : 31 sys

'K' from ... Thiele(X,Y,0)

Thiele K's coefficients
@ support points X X Y 0 Thiele 0.0128 2 - 0.035 0.0445 0.0983 1.5416 0.2959 0.7407 0.8552 1.2422 1.3735 0.3273 1.672 1.6176 - 1.8709 2.2494 - 2.0184 1.8823 92 mat

K X Y 0 Thiele 2 col : 2 - 0.044 1.542 0.741 1.242 0.327 1.618 - 2.249 - 1.882 91 mat

model function from which data set was generated

β 0.5 0.75 1 - 1 - 41 mat :

Model Mother generatrix ... designed for purpose [jmG]
for the piecewise shape  Pt100 application. x β f β 1 el x β 3 el - (β 2 el x *^(* 1 x 0 + ln + x β 3 el - (- exp + β 4 el + (* :

x β f

This function was developped as a 4 parametric model fit Pt100

x f x c * x β f support X 5 el 1 X 5 el 1 - 2 2 mat 4 1 sys

x f x X 1 el X 2 el int 0.038 -

Thiele Procedure . . . exceptional rendering

This is the original Procedure from Robert/Jean [MCD 11].

This example fits the dual monotonous data set. More of

dual monotonous should be explored. This short procedure

enables to construct/export user project(s).

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