2035c002-1268-4cee-80a0-096a7d855cd4 10 4 5 decimal

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

L.p P P.o f L.p 20 P P.o / log10 * - :

Plot scalar solution

L.p P P.o f u - P solve maple L.p - u + 20_Z log10 * + RootOf P.o *

L.p - u + 20 u log10 * + (P.o * u root

L.p 1 :

P.o 1 :

x P L.p - x + 20 x log10 * + (P.o * :

User 16 :

X x P User - 0 ≡ x 26 solve : 4.31

x P X X P + 40 red 1 5 mat 2 1 sys

Pt100: Wr [Ω] vs temperature [t °C] t Wr Z K.p 1 α β α - (/ t 259.3467 + (- α K.p * / exp * + β β α - (/ t 259.3467 + (- β K.p * / exp * - (* + :

Maple reflexive solver. The Maple root argument will be passed  to Smath Sol(w,t).
Given  [°C]  from lab thermal bath, will solve for 'w', providing the thermal bath 
is itself at least equivalent to a secondary standard of ITS 90.  This direction of
experiment will enable checking the °C reading in the control room . w sol t Wr w - t root :

w sol Z β α - (* K.p β α 1 - 259346710000 t * + 10000 α * K.p * / - exp + (* + β 259346710000 t * + 10000 β * K.p * / - exp * - (* + w β α - (* - β α - / t root

w t argument β α - (Z w - (* K.p β 1259346710000 t * + 10000 β * K.p * / - exp - (* α 1 - 259346710000 t * + 10000 α * K.p * / - exp + (* + (* + β α - / :

The XFR coefficients 
were obtained from MCD
via a specialy designed
..."osculatice method"...
NOT revealed [Jean Giraud] Z 0.0009996 : K.p 12.4435128 : α 1.7276022 : β 228.3303460 : 41 sys

°C 1 : Ω 1 : 21 sys

Solving for (t), given (w)... Roots(range) => 0,t,-260,970
For Wr 0.0009996 the point -259.3467 is not recovered w t Sol w t argument 0 ≡ t 260 - 970 solve :

0.0110234 t Sol °C 248.59 -

Solving for (w), given (t)... Roots(range)  => 0,w,-1,5 w t Sol w t argument 0 ≡ w 1 - 5 solve :

w 259.3467 - Sol Ω 0.0009996

p 1 0.2 s * + (1 0.5 s * + (* 0.8 10 s * + (1 0.2 s * + (* 1 0.5 s * + (* 1 0.05 / + / :

allvalues expands Maple kernel RootOf ≡ Maple stacks 3 solutions t sol 1 el t sol 2 el t sol 3 el 31 mat ≡ 21 mat

t sol p s t invlaplace allvalues maple :

collect the complete solution t Sol t sol 1 el t sol 2 el + t sol 3 el + :

t F t sol 2 el :

x damped 0 x ≤ x F Re Undefined if :

x enveloppe 0 x ≤ x F abs Undefined if :

x damped x enveloppe x enveloppe - 3 1 sys

TurboGen regulation

The imaginary terms cancel each other. The solution is finally Re[Sol(t)]

P p parfrac s convert maple :

P 55 s + (* 2 s + (* 286533 s * + (* 177 s 2^* + 25 s 3^* + (* /

x p 55 x + (* 2 x + (* 286533 x * + (* 177 x 2^* + 25 x 3^* + (* / :

x λ 10 x ≤ cases :

x p x λ *

12273221381717300000000000002839502998 sqrt * + 3 nthroot (2^* 2839502998 sqrt * + 3 nthroot * 6.8444 1030^*

t 1281613 nthroot 2839502998 sqrt * + 3 nthroot * 118 - 613 nthroot 2839502998 sqrt * + 3 nthroot * + (* + i 3 sqrt * 12816123 /^2839502998 sqrt * + (23 /^* - (* + (* 50613 nthroot * 2839502998 sqrt * + 3 nthroot * / exp 12273221381717300000000000002839502998 sqrt * + 3 nthroot (2^* 2839502998 sqrt * + 3 nthroot (* /