\(\renewcommand\AA{\unicode{x212B}}\)
Comparison of minimizers, with weighted least squares
Here we provide a summary and detailed results for a comparison of
minimizers in Mantid when using weights in the cost function. For an
explanation of the comparison approach and the results obtained when
not using weights see the General comparison of minimizers. In the results presented here the
cost function used is least squares and weigths are defined from input
observational error estimates. See the general concept page on
fitting for an explanation on how the error estimates are
used in the least squares cost function. This cost function is named
in the list of cost functions available in Mantid as “Least
squares”. It is the default cost function in Mantid and the most
commonly used for neutron data.
For the Neutron data problems true observational errors are used as
weights, as commonly done in Mantid. As the NIST and CUTEst problems
do not include measurement errors, assuming that these datasets would
represent data from a typical Mantid workspace we introduce
observational error estimates calculated as the square root of the
observations.
Comparison in terms of accuracy
Accuracy for individual NIST problems, “lower” difficulty
| |
BFGS |
Conjugate gradient (Fletcher-Reeves imp.) |
Conjugate gradient (Polak-Ribiere imp.) |
Damping |
Levenberg-Marquardt |
Levenberg-MarquardtMD |
Simplex |
SteepestDescent |
Trust Region |
|---|
| Misra1a 1 |
152.6 |
151.7 |
151.7 |
1 |
1 |
1 |
1.001 |
151.7 |
1 |
| Misra1a 2 |
2.233 |
2.266 |
2.266 |
1 |
1 |
1 |
1.001 |
2.265 |
1 |
| Chwirut2 1 |
1.08 |
1.043 |
1.001 |
1 |
1 |
1 |
1.049 |
1.081 |
1 |
| Chwirut2 2 |
1.004 |
1 |
1 |
1 |
1 |
1 |
1.247 |
1.005 |
1 |
| Chwirut1 1 |
1.134 |
1.11 |
1.006 |
1.285 |
1.012 |
1.012 |
1 |
1.132 |
1.012 |
| Chwirut1 2 |
1.023 |
1 |
1.011 |
1.012 |
1.012 |
1.012 |
1.087 |
1.024 |
1.012 |
| Lanczos3 1 |
1.683e+06 |
8.746e+04 |
8.828e+04 |
1 |
1 |
1 |
1.833e+05 |
1.191e+06 |
1 |
| Lanczos3 2 |
1.982e+05 |
5.844e+04 |
5.685e+04 |
1.241 |
1.241 |
1 |
3540 |
1.866e+05 |
1.241 |
| Gauss1 1 |
5.637 |
5.596 |
5.596 |
1 |
1 |
1 |
1 |
5.637 |
1 |
| Gauss1 2 |
9.281 |
1.077 |
1.027 |
1 |
1 |
1 |
1.032 |
9.278 |
1 |
| Gauss2 1 |
2.465 |
7.338 |
7.338 |
1 |
1 |
1 |
1 |
7.269 |
1 |
| Gauss2 2 |
2.151 |
3.752 |
3.752 |
1 |
1 |
1 |
1 |
3.404 |
1 |
| DanWood 1 |
73.76 |
1 |
1.002 |
1 |
1 |
1 |
1.012 |
53.75 |
1 |
| DanWood 2 |
1.231 |
1.005 |
1.005 |
1.005 |
1.005 |
1.005 |
1 |
2.04 |
1.005 |
| Misra1b 1 |
101.2 |
97.62 |
97.62 |
1 |
1 |
1 |
1 |
97.58 |
1 |
| Misra1b 2 |
15.72 |
15.44 |
15.44 |
4.476e+05 |
1 |
1 |
1 |
15.44 |
1 |
Accuracy for individual NIST problems, “average” difficulty
| |
BFGS |
Conjugate gradient (Fletcher-Reeves imp.) |
Conjugate gradient (Polak-Ribiere imp.) |
Damping |
Levenberg-Marquardt |
Levenberg-MarquardtMD |
Simplex |
SteepestDescent |
Trust Region |
|---|
| Kirby2 1 |
309.1 |
13.83 |
13.49 |
1 |
1 |
1 |
210.8 |
285.4 |
1 |
| Kirby2 2 |
1.042 |
1 |
1.106 |
1.042 |
1.042 |
1.042 |
4.37 |
70.06 |
1.042 |
| Hahn1 1 |
2.788e+04 |
2.666e+04 |
74.31 |
472.2 |
15.15 |
19.09 |
280.6 |
9883 |
1 |
| Hahn1 2 |
6474 |
37.17 |
345.4 |
1 |
1 |
1 |
25.87 |
1.001e+04 |
1 |
| MGH17 1 |
1.271e+07 |
1.271e+07 |
1.271e+07 |
nan |
1 |
5.207e+07 |
1.761e+07 |
1.271e+07 |
6.607e+15 |
| MGH17 2 |
604 |
33.64 |
30.24 |
3.75e+13 |
1.016 |
1 |
1523 |
657.6 |
1.017 |
| Lanczos1 1 |
1.049e+18 |
5.459e+16 |
5.507e+16 |
285.4 |
1 |
5.136 |
1.082e+17 |
9.626e+17 |
2.374e+09 |
| Lanczos1 2 |
1.818e+17 |
5.367e+16 |
5.221e+16 |
1 |
1 |
213.2 |
5.065e+15 |
1.625e+17 |
2.606e+06 |
| Lanczos2 1 |
1.364e+09 |
7.103e+07 |
7.166e+07 |
1 |
1 |
1 |
1.446e+08 |
1.081e+09 |
1 |
| Lanczos2 2 |
1.295e+08 |
3.823e+07 |
3.719e+07 |
1 |
1 |
1 |
3.506e+06 |
1.155e+08 |
1 |
| Gauss3 1 |
15.22 |
15.19 |
15.19 |
1 |
1 |
1 |
1 |
15.22 |
1 |
| Gauss3 2 |
3.172 |
2.023 |
2.573 |
8.2 |
1 |
1 |
1.001 |
9.047 |
1 |
| Misra1c 1 |
121.4 |
121.1 |
121.1 |
nan |
1 |
1 |
1 |
121.1 |
1 |
| Misra1c 2 |
6.516 |
6.517 |
6.517 |
1 |
1 |
1 |
1 |
6.518 |
1 |
| Misra1d 1 |
20.25 |
20.63 |
20.63 |
1.001 |
1.001 |
1.001 |
1 |
20.63 |
1.001 |
| Misra1d 2 |
2.008 |
2.002 |
2.002 |
1 |
1 |
1 |
1.001 |
2.001 |
1 |
| ENSO 1 |
1.315 |
1.026 |
1.067 |
1.526 |
1.003 |
1.526 |
1 |
1.081 |
1.001 |
| ENSO 2 |
1.06 |
1.025 |
1.025 |
1.084 |
1.002 |
1.084 |
1.065 |
1.061 |
1 |
Accuracy for individual NIST problems, “higher” difficulty
| |
BFGS |
Conjugate gradient (Fletcher-Reeves imp.) |
Conjugate gradient (Polak-Ribiere imp.) |
Damping |
Levenberg-Marquardt |
Levenberg-MarquardtMD |
Simplex |
SteepestDescent |
Trust Region |
|---|
| MGH09 1 |
18.15 |
52.96 |
52.96 |
338.1 |
3.947 |
1 |
7.13 |
46.53 |
3.948 |
| MGH09 2 |
1.807 |
1.181 |
1 |
4.196 |
1.063 |
1.063 |
1.182 |
1.718 |
1.063 |
| Thurber 1 |
1.359 |
1.49 |
1 |
18.14 |
6.775 |
6.787 |
5.655 |
1.946 |
6.77 |
| Thurber 2 |
2.689 |
1.419 |
1.446 |
1 |
1.001 |
1.003 |
2.293 |
2.572 |
1.001 |
| BoxBOD 1 |
2.968 |
2.968 |
2.968 |
nan |
2.968 |
2.968 |
2.968 |
1 |
2.968 |
| BoxBOD 2 |
22.91 |
8.641 |
8.641 |
1 |
1 |
1 |
8.641 |
8.382 |
1 |
| Rat42 1 |
152.7 |
15.17 |
15.24 |
1 |
1 |
1 |
14.83 |
207.2 |
1 |
| Rat42 2 |
1.301 |
1.289 |
1.044 |
1 |
1 |
1 |
1.448 |
1.422 |
1 |
| MGH10 1 |
6.234e+05 |
6.282e+05 |
6.215e+05 |
9.056e+49 |
1 |
5.269e+05 |
6.462e+05 |
6.282e+05 |
6.097e+05 |
| MGH10 2 |
8.218e+04 |
1338 |
1335 |
nan |
3.105 |
147.2 |
8.409e+04 |
8.091e+04 |
1 |
| Eckerle4 1 |
478 |
490.5 |
490.5 |
478 |
1 |
1 |
478 |
490.5 |
340.7 |
| Eckerle4 2 |
30.92 |
33.83 |
33.83 |
1 |
1 |
1 |
1.001 |
33.83 |
1 |
| Rat43 1 |
251.4 |
178.7 |
83.69 |
nan |
1 |
2.938 |
1 |
242.9 |
1 |
| Rat43 2 |
1.071 |
1.006 |
1.006 |
1.01 |
1.01 |
1.01 |
1.01 |
1 |
1.01 |
| Bennett5 1 |
1334 |
566.4 |
1.028 |
nan |
1 |
1 |
1819 |
1318 |
1 |
| Bennett5 2 |
713.7 |
6.524 |
2.247 |
1 |
1 |
1.062 |
1571 |
705 |
1 |
Accuracy for individual “CUTEst” problems
| |
BFGS |
Conjugate gradient (Fletcher-Reeves imp.) |
Conjugate gradient (Polak-Ribiere imp.) |
Damping |
Levenberg-Marquardt |
Levenberg-MarquardtMD |
Simplex |
SteepestDescent |
Trust Region |
|---|
| PALMER6C |
2.874 |
1 |
2.322 |
1.063e+04 |
9.331 |
1.063e+04 |
2.904 |
3.739 |
nan |
| PALMER7C |
66.85 |
14.78 |
14.85 |
4.319e+05 |
2.624 |
4.319e+05 |
74.53 |
111.7 |
1 |
| PALMER8C |
196.8 |
18.62 |
23.16 |
3.051e+05 |
2.304 |
3.051e+05 |
23.38 |
268.5 |
1 |
| YFITU |
4.743e+14 |
1.18e+14 |
6.325e+13 |
1.032 |
1.032 |
1.032 |
2.848e+14 |
3.346e+14 |
1 |
| VESUVIOLS |
1.614 |
1.608 |
1.608 |
5.156e+33 |
1 |
1.403 |
5.241 |
1.608 |
1 |
| DMN15102LS |
6.216 |
5.426 |
3.84 |
8.583 |
8.351 |
1 |
3.745 |
4.341 |
5.634 |
Accuracy for individual Neutron Data problems
| |
BFGS |
Conjugate gradient (Fletcher-Reeves imp.) |
Conjugate gradient (Polak-Ribiere imp.) |
Damping |
Levenberg-Marquardt |
Levenberg-MarquardtMD |
Simplex |
SteepestDescent |
Trust Region |
|---|
| ENGINX 193749 calibration, spectrum 651, peak 19 |
1 |
1.015 |
1.058 |
nan |
1.143 |
1.064 |
1.168 |
1.381 |
1.139 |
| ENGINX 193749 calibration, spectrum 651, peak 20 |
1.813 |
1.735 |
1.725 |
nan |
1 |
1.808 |
1.216 |
6.084 |
1.001 |
| ENGINX 193749 calibration, spectrum 651, peak 23 |
3.102 |
2.989 |
2.923 |
nan |
1 |
3.267 |
2.864 |
21.55 |
3.245 |
| ENGINX 193749 calibration, spectrum 651, peak 5 |
1.057 |
1.077 |
1.077 |
nan |
1.137 |
1.222 |
1.353 |
1 |
1.145 |
| ENGINX 193749 calibration, spectrum 651, peak 6 |
1.136 |
1.021 |
1.141 |
nan |
1.016 |
1.051 |
1 |
1.132 |
1.016 |
| ENGINX 236516 vanadium, bank 1, 10 brk |
1 |
1 |
1 |
1.138 |
1 |
1.138 |
1.038 |
1.02 |
1 |
| ENGINX 236516 vanadium, bank 1, 30 brk |
1 |
1 |
1 |
1.138 |
1 |
1.138 |
1.113 |
1.03 |
1 |
| EVS14188-90_processed Gaussian peaks 1 |
1.914 |
1.566 |
1.277 |
2.228 |
1.649 |
1.003 |
2.301 |
2.305 |
1 |
| EVS14188-90_processed Gaussian peaks 1 |
1.538 |
1.538 |
1.538 |
1 |
1.053 |
1 |
2.337 |
2.344 |
1 |
| GEM 13 IC peaks |
17.09 |
3.571 |
14.59 |
nan |
1 |
1.018 |
8.178 |
26.04 |
1.003 |
| WISH17701 tube 3 calibration, peak 1 |
1.005 |
5.036 |
5.081 |
1 |
13.44 |
1 |
5.281 |
7.485 |
1 |
| WISH17701 tube 3 calibration, peak 2 |
1 |
1.267 |
1.189 |
1 |
1 |
1 |
1.511 |
3.546 |
1 |
| WISH17701 tube 3 calibration, peak 3 |
2.604 |
10.96 |
9.291 |
1 |
1 |
1 |
11.54 |
21.39 |
1 |
| WISH17701 tube 3 calibration, peak 4 |
16.21 |
16.31 |
17.19 |
1 |
1 |
1 |
18.63 |
36.03 |
1 |
| WISH17701 tube 3 calibration, peak 5 |
1.667 |
1.871 |
1.643 |
1 |
1 |
1 |
2.334 |
3.402 |
1 |
| WISH17701 tube 3 calibration, peak 6 |
3.922 |
3.822 |
3.923 |
1 |
1 |
1 |
5.876 |
16.78 |
1 |
| WISH17701 tube 3 calibration, peak 7 |
4.736 |
1.344 |
4.82 |
2.948e+06 |
1 |
1 |
5.245 |
6.1 |
1 |
| WISH17701 tube 3 calibration, peak 8 |
2.154 |
2.198 |
1.992 |
1 |
1 |
1 |
2.799 |
3.845 |
1 |
| WISH17701 tube 3 calibration, peak 9 |
1.133 |
1.132 |
1.28 |
1 |
1 |
1 |
1.283 |
1.594 |
1 |
Comparison in terms of run time
Run time for individual NIST problems, “lower” difficulty
| |
BFGS |
Conjugate gradient (Fletcher-Reeves imp.) |
Conjugate gradient (Polak-Ribiere imp.) |
Damping |
Levenberg-Marquardt |
Levenberg-MarquardtMD |
Simplex |
SteepestDescent |
Trust Region |
|---|
| Misra1a 1 |
3.628 |
1.143 |
1 |
1.005 |
1.146 |
1.018 |
1.428 |
1.924 |
1.15 |
| Misra1a 2 |
1 |
1.525 |
1.051 |
1.054 |
1.049 |
1.058 |
1.288 |
2.419 |
1.189 |
| Chwirut2 1 |
3.623 |
13.04 |
12.65 |
1 |
2.051 |
1.09 |
1.272 |
7.138 |
2.322 |
| Chwirut2 2 |
1.247 |
4.151 |
14.19 |
1 |
1.067 |
1.011 |
1.405 |
7.675 |
1.166 |
| Chwirut1 1 |
2.651 |
30.15 |
28.61 |
1 |
1.322 |
1.045 |
1.189 |
13.2 |
18.16 |
| Chwirut1 2 |
1.413 |
41.07 |
36.49 |
1.029 |
1 |
1.018 |
1.453 |
17.24 |
1.236 |
| Lanczos3 1 |
3.605 |
3.162 |
2.54 |
1.048 |
2.752 |
1 |
2.125 |
8.493 |
2.576 |
| Lanczos3 2 |
1.338 |
2.545 |
3.203 |
1 |
1.061 |
5.59 |
3.318 |
9.571 |
1.18 |
| Gauss1 1 |
1.521 |
1 |
1.15 |
1.283 |
1.518 |
1.517 |
6.998 |
61.43 |
70.51 |
| Gauss1 2 |
1.263 |
19.64 |
56.44 |
1.161 |
1.022 |
1 |
5.12 |
45.89 |
52.21 |
| Gauss2 1 |
3.714 |
1 |
1.018 |
1.294 |
1.323 |
1.548 |
6.346 |
57.34 |
66.04 |
| Gauss2 2 |
2.313 |
1 |
1.256 |
1.225 |
1.404 |
1.4 |
9.05 |
60.21 |
69.86 |
| DanWood 1 |
3.447 |
2 |
1.365 |
1.041 |
1 |
1.049 |
1.113 |
3.466 |
1.079 |
| DanWood 2 |
1 |
1.18 |
1.22 |
1.013 |
1.015 |
1.058 |
1.547 |
3.745 |
1.072 |
| Misra1b 1 |
3.045 |
1.101 |
1.081 |
1 |
1.064 |
1.005 |
1.48 |
1.622 |
1.193 |
| Misra1b 2 |
1.038 |
1.061 |
1.14 |
1.616 |
1.031 |
1 |
1.394 |
2.065 |
1.119 |
Run time for individual NIST problems, “average” difficulty
| |
BFGS |
Conjugate gradient (Fletcher-Reeves imp.) |
Conjugate gradient (Polak-Ribiere imp.) |
Damping |
Levenberg-Marquardt |
Levenberg-MarquardtMD |
Simplex |
SteepestDescent |
Trust Region |
|---|
| Kirby2 1 |
2.466 |
27.66 |
28.18 |
1.089 |
1.087 |
1 |
2.104 |
15.74 |
2.708 |
| Kirby2 2 |
1.496 |
28.78 |
28.33 |
1 |
1.18 |
1.092 |
2.112 |
18.05 |
2.242 |
| Hahn1 1 |
2.338 |
1.79 |
37.52 |
17.6 |
23.66 |
1.1 |
1.575 |
20.91 |
1 |
| Hahn1 2 |
1.074 |
46.11 |
25.85 |
1.015 |
1.106 |
1 |
2.759 |
24.71 |
1.352 |
| MGH17 1 |
2.492 |
1.035 |
1 |
1.31 |
8.089 |
2.115 |
1.125 |
2.459 |
1.491 |
| MGH17 2 |
1.427 |
1.768 |
2.957 |
1 |
7.974 |
5.232 |
1.128 |
7.163 |
9.131 |
| Lanczos1 1 |
2.841 |
3.231 |
2.486 |
1.006 |
2.584 |
1 |
2.122 |
8.269 |
1.944 |
| Lanczos1 2 |
1.234 |
2.577 |
3.071 |
1 |
1.024 |
4.233 |
2.784 |
9.353 |
1.008 |
| Lanczos2 1 |
3.627 |
3.309 |
2.695 |
1 |
2.763 |
1.05 |
2.346 |
8.758 |
2.182 |
| Lanczos2 2 |
1.265 |
2.449 |
3.131 |
1.021 |
1.089 |
4.293 |
3.322 |
9.219 |
1 |
| Gauss3 1 |
2.414 |
1 |
1.077 |
1.695 |
1.785 |
1.786 |
10.87 |
62.85 |
72.52 |
| Gauss3 2 |
1.487 |
36.57 |
15.59 |
4.071 |
1.331 |
1 |
6.78 |
39.31 |
45.25 |
| Misra1c 1 |
3.008 |
1.068 |
1.009 |
1.279 |
1 |
1.058 |
1.282 |
2.089 |
1.168 |
| Misra1c 2 |
1.069 |
1.157 |
1.043 |
1.451 |
1.036 |
1 |
1.257 |
2.124 |
1.378 |
| Misra1d 1 |
3.784 |
1.249 |
1.146 |
1 |
1.139 |
1.099 |
1.761 |
2.127 |
1.329 |
| Misra1d 2 |
1 |
1.067 |
1.088 |
1.039 |
1.046 |
1.017 |
1.301 |
1.549 |
1.091 |
| ENSO 1 |
3.544 |
115.8 |
74.75 |
1 |
108 |
1.386 |
16.06 |
87.49 |
107.7 |
| ENSO 2 |
3.77 |
98.17 |
147.5 |
1 |
104.3 |
1.03 |
12.13 |
82.23 |
106.9 |
Run time for individual NIST problems, “higher” difficulty
| |
BFGS |
Conjugate gradient (Fletcher-Reeves imp.) |
Conjugate gradient (Polak-Ribiere imp.) |
Damping |
Levenberg-Marquardt |
Levenberg-MarquardtMD |
Simplex |
SteepestDescent |
Trust Region |
|---|
| MGH09 1 |
5.288 |
1 |
1.078 |
1.698 |
1.34 |
2.401 |
2.913 |
1.775 |
2.08 |
| MGH09 2 |
1.03 |
1.334 |
1.512 |
1.47 |
1.09 |
1.07 |
1 |
3.695 |
1.1 |
| Thurber 1 |
1.006 |
7.124 |
7.251 |
10.08 |
3.972 |
2.645 |
1 |
3.85 |
4.471 |
| Thurber 2 |
1 |
6.238 |
15.17 |
25.36 |
9.846 |
6.471 |
1.664 |
9.338 |
11.1 |
| BoxBOD 1 |
2.342 |
1.056 |
1.052 |
1.218 |
1.008 |
1 |
1.125 |
3.096 |
1.161 |
| BoxBOD 2 |
1.045 |
1.073 |
1.098 |
1.063 |
1.618 |
1.073 |
1.056 |
3.153 |
1 |
| Rat42 1 |
3.149 |
1.34 |
1.245 |
1.022 |
1.052 |
1 |
1.265 |
3.512 |
1.057 |
| Rat42 2 |
1.116 |
4.528 |
5.022 |
1 |
1.056 |
1.001 |
1.166 |
3.542 |
6.594 |
| MGH10 1 |
5.74 |
1 |
3.761 |
1.141 |
4.286 |
3.409 |
1.155 |
2.312 |
5.005 |
| MGH10 2 |
1 |
3.895 |
5.263 |
1.362 |
4.603 |
4.039 |
1.021 |
3.807 |
4.765 |
| Eckerle4 1 |
3.128 |
1.022 |
1.18 |
1 |
1.156 |
3.707 |
1.089 |
1.467 |
1.193 |
| Eckerle4 2 |
1.051 |
1.085 |
1.08 |
1 |
1.206 |
1.085 |
1.197 |
1.078 |
1.17 |
| Rat43 1 |
2.505 |
1.566 |
1.581 |
1.123 |
1.046 |
1 |
2.815 |
4.697 |
1.453 |
| Rat43 2 |
1 |
7.314 |
5.865 |
1.037 |
1.022 |
1.129 |
1.712 |
5.968 |
1.046 |
| Bennett5 1 |
2.741 |
29.52 |
2.727 |
1.004 |
1 |
10.99 |
1.072 |
9.937 |
1.599 |
| Bennett5 2 |
1.27 |
24.75 |
2.849 |
1 |
1.139 |
11.25 |
1.218 |
9.038 |
1.177 |
Run time for individual “CUTEst” problems
| |
BFGS |
Conjugate gradient (Fletcher-Reeves imp.) |
Conjugate gradient (Polak-Ribiere imp.) |
Damping |
Levenberg-Marquardt |
Levenberg-MarquardtMD |
Simplex |
SteepestDescent |
Trust Region |
|---|
| PALMER6C |
3.203 |
37.49 |
14.98 |
1.107 |
2.015 |
1 |
1.682 |
16.59 |
3.542 |
| PALMER7C |
3.71 |
28.69 |
34.96 |
1.047 |
19.52 |
1 |
1.708 |
17.97 |
27.65 |
| PALMER8C |
3.308 |
31.74 |
34.65 |
1.529 |
17.39 |
1 |
4.452 |
16.36 |
25.99 |
| YFITU |
3.193 |
8.638 |
9.006 |
1.582 |
1.049 |
1 |
1.077 |
4.637 |
1.186 |
| VESUVIOLS |
1.209 |
7.944 |
11.8 |
1.612 |
1.603 |
1.14 |
1 |
41.34 |
1.609 |
| DMN15102LS |
5.209 |
5.145 |
5.854 |
1 |
1.644 |
3.548 |
2.691 |
8.067 |
21.12 |
Run time for individual Neutron Data problems
| |
BFGS |
Conjugate gradient (Fletcher-Reeves imp.) |
Conjugate gradient (Polak-Ribiere imp.) |
Damping |
Levenberg-Marquardt |
Levenberg-MarquardtMD |
Simplex |
SteepestDescent |
Trust Region |
|---|
| ENGINX 193749 calibration, spectrum 651, peak 19 |
1.245 |
3.983 |
2.818 |
1 |
2.72 |
1.285 |
3.901 |
14.78 |
17.93 |
| ENGINX 193749 calibration, spectrum 651, peak 20 |
1.674 |
8.281 |
4.713 |
1 |
4.067 |
1.361 |
3.286 |
17.37 |
21.73 |
| ENGINX 193749 calibration, spectrum 651, peak 23 |
1.359 |
2.566 |
2.889 |
1.032 |
1.542 |
1 |
1.297 |
14.64 |
19.83 |
| ENGINX 193749 calibration, spectrum 651, peak 5 |
1.118 |
4.324 |
1.408 |
1 |
1.099 |
1.175 |
4.255 |
6.036 |
2.991 |
| ENGINX 193749 calibration, spectrum 651, peak 6 |
1 |
2.992 |
1.967 |
1.108 |
2.317 |
1.125 |
3.347 |
5.617 |
30.43 |
| ENGINX 236516 vanadium, bank 1, 10 brk |
19.23 |
24.26 |
25.23 |
1.069 |
5.64 |
1 |
17.53 |
190.6 |
2.93 |
| ENGINX 236516 vanadium, bank 1, 30 brk |
32.84 |
101 |
135.2 |
1 |
6.909 |
1.004 |
7.944 |
175 |
2.661 |
| EVS14188-90_processed Gaussian peaks 1 |
83.93 |
39.91 |
40.09 |
1 |
2.115 |
3.198 |
1.162 |
25.14 |
3.585 |
| EVS14188-90_processed Gaussian peaks 1 |
17.25 |
35.46 |
36.52 |
2.102 |
1 |
1.913 |
1.018 |
21.93 |
2.495 |
| GEM 13 IC peaks |
1.354 |
41.38 |
44.17 |
1 |
4.599 |
3.344 |
10.27 |
3.188 |
10.59 |
| WISH17701 tube 3 calibration, peak 1 |
7.068 |
5.796 |
5.604 |
1.103 |
1 |
1.076 |
1.895 |
4.189 |
1.268 |
| WISH17701 tube 3 calibration, peak 2 |
5.019 |
5.489 |
5.62 |
1.011 |
1 |
1.276 |
1.767 |
4.071 |
1.276 |
| WISH17701 tube 3 calibration, peak 3 |
9.898 |
6.215 |
6.334 |
1.818 |
1.096 |
1 |
1.715 |
4.205 |
1.191 |
| WISH17701 tube 3 calibration, peak 4 |
3.493 |
5.53 |
5.487 |
1 |
1.072 |
1.01 |
1.426 |
3.866 |
1.154 |
| WISH17701 tube 3 calibration, peak 5 |
9.501 |
5.589 |
6.026 |
1.063 |
1 |
1.052 |
1.446 |
4.002 |
1.185 |
| WISH17701 tube 3 calibration, peak 6 |
3.091 |
5.472 |
5.569 |
1 |
1.137 |
1.077 |
1.391 |
3.901 |
1.106 |
| WISH17701 tube 3 calibration, peak 7 |
3.545 |
6.025 |
5.746 |
1 |
1.037 |
1.092 |
1.5 |
4.034 |
1.274 |
| WISH17701 tube 3 calibration, peak 8 |
4.326 |
5.938 |
5.948 |
1 |
1.014 |
1.068 |
1.43 |
4.077 |
1.313 |
| WISH17701 tube 3 calibration, peak 9 |
3.089 |
5.646 |
5.913 |
1.083 |
1.075 |
1 |
1.384 |
4.042 |
1.253 |
Category: Concepts
