SSD ... Pearson Correlation

d62f905a-3e54-4b68-bd0c-7ae5b8f720ea 17 6 12 decimal

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

corr Pearson correlation χ X Mean : μ Y Mean : n XY rows : 13 mat X i el χ - (Y i el μ - (* (i 1 n sum X i el χ - (2^(i 1 n sum Y i el μ - (2^(i 1 n sum * sqrt / X i el χ - (X i el f eval μ - (* (i 1 n sum X i el χ - (2^(i 1 n sum X i el f eval μ - (2^(i 1 n sum * sqrt / / 31 line :

SSD = "Sum Square Differences" SSD Y i el X i el f - (2^(i 1 XY rows sum :

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 :

... GR-50-AA ... Ge Ω °K 35000 0.05 2320 0.1 364.6 0.2 164 0.3 73.75 0.5 33.55 1 24.73 1.4 19.32 2 13.66 4.2 102 mat :

Germanium Cryogenic Sensor Ge Ge 210 range 12 range el :

X Ge 1 col : Y Ge 2 col : 12 mat XY X Y augment : data Ge o 6 black plot : n Ge rows : x c 1 13.66 x ≤ (x 35000 ≤ (& cases : 51 sys

x φ 11 x 1.125^/ 1 x 2.25^/ 1 x 3.375^/ 1 x / 1 x 0.5^/ 1 x 0.25^/ 1 x 0.125^/ 18 mat transpose :

Cholesky companion solver j 1 x φ length range i 1 X length range M i j el X i el φ j el : for for Φ M transpose M * : d M transpose Y * : b Φ 1 -^eval d * : 41 line

b 3.843977 - 2401.820709 5401.63931 - 52172.808766 1901.25736 - 172.699658 82.887427 - 33.531555 81 mat

β ct 1 : j 1 b rows range u ct el b j el 4 round : ct ct 1 + : 21 line for u 31 line :

CWD C:\SmathFile CurrentDirectory :

β CWD βGe wfile 1

β 3.844 - 2401.8207 5401.6393 - 52172.8088 1901.2574 - 172.6997 82.8874 - 33.5316 81 mat

β CWD βGe rfile :

At this point, isolate manually or isolate via a for loop to enable fitting manipulation of the vector function φ(x). Rounding is necessary to relieve the overkilling floating point engine.

recast the fitting session for an easy export on scientific calculator x f β x φ * :

x f 27372662921358041 x 8 nthroot 19^* - (* 414437 x 8 nthroot 25^* - (* 54016393 - 2401820738440 x 8 nthroot 9^* - 1726997 x 8 nthroot 5^* + (x 8 nthroot 9^* + (x 8 nthroot 9^* + 335316 x 4 nthroot 13^* + 10000 x 8 nthroot 27^* /

Collect/Export

x Φ 27372662921358041 x 8 nthroot (19^* - (* 414437 x 8 nthroot (25^* - (* 10000 x 8 nthroot (27^* / 54016393 - 2401820738440 x 8 nthroot (9^* - 1726997 x 8 nthroot (5^* + (x 8 nthroot (9^* + (x 8 nthroot (9^* 10000 x 8 nthroot (27^* / 335316 x 4 nthroot (13^* 10000 x 8 nthroot (27^* / 31 sys :

x Ω x Φ 1 el x Φ 2 el + x Φ 3 el + :

Conformity from absolute residuals δ i 1 Ge rows range Δ i el Y i el X i el f - 3 round eval : for Ω °K Δ°K 13 mat X Y Δ augment stack 21 line :

SSD corr 21 mat 0.000004 0.999989 21 mat

Quick linfit ... The 4th support point is unlikely exact 164 ...

data x f x c * 2 1 sys

δ Ω °K Δ°K 35000 0.05 02320 0.1 0 364.6 0.2 0164 0.3 0.001 73.75 0.5 0.001 - 33.55 1 0.001 24.73 1.4 0.001 - 19.32 20 13.66 4.2 0103 mat