1cd3c90a-8ca2-4aa0-bcfd-a4af371e038c 9 4 5 decimal

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

Typical Hysterisis representation

x 0.25 + erf x 0.25 + 0.5 erf 2 1 sys

x f1 x 0.25 + erf :

x f2 x 0.25 + 0.5 erf :

u 0.75 :

vy u f1 u f2 21 mat : 0.8427 0.5205 21 mat

vy incertitude n vy length : x Γ x Gamma : 12 mat u vy StdDev n sqrt / n 1 - 2 / Γ n 1 - sqrt * n 2 / Γ 2 sqrt * / * : 21 line :

vy incertitude 0.202

vy Mean 0.682

vy Mean 0.20191 ± + 0.884 0.48 21 sys

1. Prepare the project

2. Points specification

N 200 : (Density of random ≡

data spec pts i 1 data rows range p i el a b c spec : for Unest 'p' v p 1 el : j 2 p rows range v v p j el stack : for data v augment 51 line :

xmax 3 : xmin 3 - : 21 line

ymax 1 : ymin 1 - : 21 line

space_x xmax xmin - (: space_y ymax ymin - (: 21 line

x y1 x f1 : x y2 x f2 : 21 line

3. Fill critical region

x λ 13 - x ≤ (x 3 ≤ (& cases :

A function that tests an arbitrary point 
for its membership in the critical region. x y Test y x y1 - 0 ≥ (y x y2 - 0 ≥ (- :

a b c spec . 10 #A0A0A0 13 mat :

A routine that finds an array of N random 
pairs in the critical region. Pts the routine is a compressor it maintains density 'N' within the critical region i 1 N range x 1 Random space_x * xmin + (1 el : y 1 Random space_y * ymin + (1 el : 1 x y Test - x 1 Random space_x * xmin + (1 el : y 1 Random space_y * ymin + (1 el : 21 line while P i 1 el x : P i 2 el y : 51 line for P 51 line :

Pts Pts eval :

fill Pts a b c spec pts :

Explode 'fill'... copy paste as third argument.

random fill the critical region.

x y1 x λ * x y2 x λ * 0.4125 - 0.3424 - . 10 #A0A0A0 0.8589 - 0.8281 - . 10 #A0A0A0 1.2469 0.9025 . 10 #A0A0A0 1.1467 - 0.8666 - . 10 #A0A0A0 0.5405 0.36 . 10 #A0A0A0 1.4753 0.965 . 10 #A0A0A0 0.0527 0.0435 - . 10 #A0A0A0 0.5143 0.6448 . 10 #A0A0A0 0.6267 0.7191 . 10 #A0A0A0 0.1775 - 0.1042 - . 10 #A0A0A0 0.8325 - 0.6585 - . 10 #A0A0A0 0.4575 0.264 . 10 #A0A0A0 0.7994 - 0.7834 - . 10 #A0A0A0 0.4551 0.6442 . 10 #A0A0A0 0.2841 0.1426 . 10 #A0A0A0 0.2261 - 0.4561 - . 10 #A0A0A0 0.1724 0.0171 - . 10 #A0A0A0 0.506 - 0.5818 - . 10 #A0A0A0 0.3189 - 0.2212 - . 10 #A0A0A0 1.7282 - 0.979 - . 10 #A0A0A0 0.4512 - 0.4906 - . 10 #A0A0A0 0.8347 0.6319 . 10 #A0A0A0 0.0069 - 0.1875 . 10 #A0A0A0 1.4697 - 0.9398 - . 10 #A0A0A0 1.0632 0.8425 . 10 #A0A0A0 0.7989 0.7487 . 10 #A0A0A0 0.0735 - 0.2436 - . 10 #A0A0A0 0.8489 - 0.6603 - . 10 #A0A0A0 0.0882 0.3187 . 10 #A0A0A0 0.699 0.807 . 10 #A0A0A0 0.3147 0.1429 . 10 #A0A0A0 0.9104 - 0.7483 - . 10 #A0A0A0 0.2898 0.2733 . 10 #A0A0A0 1.4244 - 0.9097 - . 10 #A0A0A0 0.1768 0.2547 . 10 #A0A0A0 0.2031 0.0786 . 10 #A0A0A0 0.6768 - 0.5261 - . 10 #A0A0A0 0.1956 0.3515 . 10 #A0A0A0 0.0765 - 0.0627 . 10 #A0A0A0 0.2043 - 0.218 - . 10 #A0A0A0 0.3823 0.5973 . 10 #A0A0A0 0.1802 - 0.0784 . 10 #A0A0A0 0.5744 0.5227 . 10 #A0A0A0 0.5634 0.5344 . 10 #A0A0A0 1.8043 0.9755 . 10 #A0A0A0 1.3089 - 0.9319 - . 10 #A0A0A0 0.7746 0.7416 . 10 #A0A0A0 0.4166 - 0.4518 - . 10 #A0A0A0 0.4722 0.4903 . 10 #A0A0A0 0.8489 0.684 . 10 #A0A0A0 0.0978 - 0.063 . 10 #A0A0A0 0.8795 - 0.6756 - . 10 #A0A0A0 0.8031 0.77 . 10 #A0A0A0 0.5179 0.6338 . 10 #A0A0A0 1.1517 - 0.9281 - . 10 #A0A0A0 0.2899 0.2449 . 10 #A0A0A0 0.3052 - 0.5004 - . 10 #A0A0A0 0.3565 0.4959 . 10 #A0A0A0 1.3526 - 0.9018 - . 10 #A0A0A0 0.4156 0.5646 . 10 #A0A0A0 0.0574 - 0.1903 - . 10 #A0A0A0 1.4628 0.953 . 10 #A0A0A0 1.5723 0.9899 . 10 #A0A0A0 0.4182 - 0.4213 - . 10 #A0A0A0 0.267 - 0.2172 - . 10 #A0A0A0 0.354 - 0.1899 - . 10 #A0A0A0 0.0332 - 0.0145 - . 10 #A0A0A0 1.2701 - 0.891 - . 10 #A0A0A0 0.5753 0.6939 . 10 #A0A0A0 0.3775 - 0.4356 - . 10 #A0A0A0 0.2278 0.4843 . 10 #A0A0A0 0.0879 - 0.0346 . 10 #A0A0A0 0.1721 - 0.0222 . 10 #A0A0A0 0.3403 0.5328 . 10 #A0A0A0 0.4316 - 0.6122 - . 10 #A0A0A0 0.1804 - 0.0282 . 10 #A0A0A0 0.3864 0.2562 . 10 #A0A0A0 0.8435 0.8562 . 10 #A0A0A0 1.5469 0.9456 . 10 #A0A0A0 0.1193 0.0736 . 10 #A0A0A0 0.3646 0.3792 . 10 #A0A0A0 1.0098 - 0.8795 - . 10 #A0A0A0 0.9182 0.8253 . 10 #A0A0A0 0.8444 0.7684 . 10 #A0A0A0 0.053 - 0.0292 - . 10 #A0A0A0 0.9748 - 0.735 - . 10 #A0A0A0 0.6166 0.4062 . 10 #A0A0A0 0.6319 0.7104 . 10 #A0A0A0 0.0631 - 0.0188 . 10 #A0A0A0 1.3454 0.9674 . 10 #A0A0A0 0.0774 0.2154 . 10 #A0A0A0 0.0454 0.1765 . 10 #A0A0A0 0.1664 0.0061 - . 10 #A0A0A0 1.6126 - 0.968 - . 10 #A0A0A0 0.0076 0.0017 . 10 #A0A0A0 0.0087 - 0.2753 - . 10 #A0A0A0 0.7352 0.73 . 10 #A0A0A0 0.9029 - 0.7406 - . 10 #A0A0A0 0.6776 - 0.8087 - . 10 #A0A0A0 1.2642 - 0.9386 - . 10 #A0A0A0 0.3322 - 0.1059 - . 10 #A0A0A0 0.2383 - 0.1974 - . 10 #A0A0A0 0.6015 0.7276 . 10 #A0A0A0 0.1514 - 0.2528 - . 10 #A0A0A0 0.7328 0.6471 . 10 #A0A0A0 0.1265 0.2325 . 10 #A0A0A0 1.0635 - 0.8351 - . 10 #A0A0A0 0.9743 - 0.6952 - . 10 #A0A0A0 0.4233 0.3358 . 10 #A0A0A0 0.392 0.1779 . 10 #A0A0A0 0.5881 - 0.4962 - . 10 #A0A0A0 0.1384 - 0.0675 . 10 #A0A0A0 0.1342 0.0341 . 10 #A0A0A0 1.675 - 0.9568 - . 10 #A0A0A0 0.2239 0.0931 . 10 #A0A0A0 1.3897 - 0.9042 - . 10 #A0A0A0 1.0271 - 0.8249 - . 10 #A0A0A0 2.0305 0.9969 . 10 #A0A0A0 0.0699 - 0.0692 - . 10 #A0A0A0 0.5637 - 0.3924 - . 10 #A0A0A0 0.2035 - 0.3463 - . 10 #A0A0A0 0.01 - 0.0305 . 10 #A0A0A0 0.6166 0.6772 . 10 #A0A0A0 0.261 0.2742 . 10 #A0A0A0 0.0688 - 0.2383 - . 10 #A0A0A0 0.0135 - 0.1918 - . 10 #A0A0A0 0.3937 0.3245 . 10 #A0A0A0 0.8364 - 0.7103 - . 10 #A0A0A0 0.3487 0.1756 . 10 #A0A0A0 1.2475 0.8965 . 10 #A0A0A0 0.0562 0.1959 - . 10 #A0A0A0 0.1092 0.2457 . 10 #A0A0A0 0.2902 - 0.2126 - . 10 #A0A0A0 0.1268 - 0.0366 - . 10 #A0A0A0 1.3753 - 0.9634 - . 10 #A0A0A0 0.264 - 0.2732 - . 10 #A0A0A0 0.551 - 0.4189 - . 10 #A0A0A0 0.1269 - 0.0783 . 10 #A0A0A0 0.6535 - 0.4627 - . 10 #A0A0A0 1.1619 0.9078 . 10 #A0A0A0 0.6843 - 0.7157 - . 10 #A0A0A0 0.3222 - 0.346 - . 10 #A0A0A0 0.684 0.6505 . 10 #A0A0A0 1.7062 - 0.9798 - . 10 #A0A0A0 0.9797 0.7255 . 10 #A0A0A0 0.0564 0.3118 . 10 #A0A0A0 0.6087 0.5159 . 10 #A0A0A0 0.3254 0.3647 . 10 #A0A0A0 1.2405 - 0.9007 - . 10 #A0A0A0 0.5564 0.4981 . 10 #A0A0A0 0.5374 - 0.5817 - . 10 #A0A0A0 0.1147 - 0.1832 - . 10 #A0A0A0 0.0445 - 0.2248 . 10 #A0A0A0 0.7873 - 0.7287 - . 10 #A0A0A0 1.3314 0.928 . 10 #A0A0A0 0.7691 0.7635 . 10 #A0A0A0 0.4866 - 0.4553 - . 10 #A0A0A0 0.13 0.253 . 10 #A0A0A0 0.3878 - 0.5448 - . 10 #A0A0A0 0.8206 - 0.8134 - . 10 #A0A0A0 1.2075 0.9126 . 10 #A0A0A0 1.1135 - 0.79 - . 10 #A0A0A0 1.1972 - 0.9489 - . 10 #A0A0A0 1.0177 - 0.7853 - . 10 #A0A0A0 0.611 0.7545 . 10 #A0A0A0 0.2411 0.0212 . 10 #A0A0A0 0.2256 0.246 . 10 #A0A0A0 1.6094 - 0.974 - . 10 #A0A0A0 0.2029 - 0.1524 - . 10 #A0A0A0 0.1219 - 0.3984 - . 10 #A0A0A0 0.5114 - 0.4992 - . 10 #A0A0A0 0.6243 0.578 . 10 #A0A0A0 0.0997 - 0.1088 - . 10 #A0A0A0 0.0735 0.3251 . 10 #A0A0A0 0.1632 - 0.0952 - . 10 #A0A0A0 0.417 0.2309 . 10 #A0A0A0 0.3003 0.4218 . 10 #A0A0A0 1.6021 0.9883 . 10 #A0A0A0 0.312 - 0.5042 - . 10 #A0A0A0 0.1506 0.04 . 10 #A0A0A0 0.698 - 0.6017 - . 10 #A0A0A0 1.6502 - 0.9636 - . 10 #A0A0A0 1.5219 - 0.9312 - . 10 #A0A0A0 0.3297 0.5421 . 10 #A0A0A0 0.0868 - 0.2962 - . 10 #A0A0A0 0.1992 - 0.3209 - . 10 #A0A0A0 1.9992 0.9944 . 10 #A0A0A0 0.4049 0.5053 . 10 #A0A0A0 0.6022 - 0.5441 - . 10 #A0A0A0 0.3307 - 0.5158 - . 10 #A0A0A0 0.0634 - 0.0677 . 10 #A0A0A0 0.2138 - 0.2053 - . 10 #A0A0A0 0.058 - 0.2078 - . 10 #A0A0A0 0.2518 0.4081 . 10 #A0A0A0 0.6208 - 0.5551 - . 10 #A0A0A0 0.8469 - 0.7877 - . 10 #A0A0A0 0.7188 - 0.8015 - . 10 #A0A0A0 0.6586 0.566 . 10 #A0A0A0 1.0465 - 0.8334 - . 10 #A0A0A0 0.3058 0.3292 . 10 #A0A0A0 200 5 mat 3 1 sys