Theory and Modern Applications
η | Case I | Case II | Case III | Case IV | ||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
Min | Mean | Std | Min | Mean | Std | Min | Mean | Std | Min | Mean | Std | |
0.00 | 1.40E−11 | 6.15E−08 | 2.74E−07 | 7.11E−13 | 1.14E−07 | 2.83E−07 | 2.21E−11 | 2.29E−07 | 1.74E−06 | 9.39E−14 | 3.09E−07 | 9.46E−07 |
0.50 | 1.39E−10 | 1.30E−07 | 2.10E−07 | 1.46E−10 | 4.30E−06 | 7.80E−06 | 5.55E−13 | 3.57E−05 | 8.87E−05 | 1.34E−07 | 2.72E−04 | 7.16E−04 |
0.10 | 3.89E−10 | 1.74E−07 | 5.69E−07 | 1.68E−10 | 1.36E−06 | 2.77E−06 | 2.64E−11 | 4.03E−06 | 2.38E−05 | 8.09E−11 | 7.18E−06 | 2.49E−05 |
0.15 | 4.04E−12 | 1.04E−07 | 4.68E−07 | 2.34E−10 | 2.24E−07 | 3.72E−07 | 3.62E−12 | 6.00E−06 | 1.19E−05 | 4.22E−09 | 3.97E−05 | 1.04E−04 |
0.20 | 9.24E−12 | 5.93E−08 | 1.45E−07 | 2.25E−10 | 1.42E−06 | 2.43E−06 | 5.55E−12 | 9.87E−06 | 3.18E−05 | 1.81E−09 | 2.75E−05 | 7.80E−05 |
0.25 | 3.83E−12 | 5.08E−08 | 7.07E−08 | 6.58E−12 | 1.20E−06 | 2.26E−06 | 2.49E−10 | 4.19E−06 | 2.35E−05 | 1.01E−08 | 5.40E−06 | 1.09E−05 |
0.30 | 8.59E−13 | 6.16E−08 | 1.39E−07 | 2.93E−12 | 2.80E−07 | 9.80E−07 | 7.22E−10 | 3.75E−06 | 8.94E−06 | 9.12E−10 | 1.92E−05 | 5.39E−05 |
0.35 | 8.77E−13 | 8.49E−08 | 3.46E−07 | 7.81E−11 | 3.93E−07 | 6.63E−07 | 1.67E−12 | 6.38E−06 | 1.43E−05 | 1.95E−10 | 1.95E−05 | 3.95E−05 |
0.40 | 5.53E−12 | 1.05E−07 | 4.14E−07 | 1.95E−11 | 1.00E−06 | 1.54E−06 | 2.70E−11 | 6.29E−06 | 2.59E−05 | 1.05E−09 | 7.77E−06 | 1.17E−05 |
0.45 | 1.13E−12 | 9.89E−08 | 2.75E−07 | 2.44E−12 | 8.79E−07 | 1.42E−06 | 1.83E−11 | 5.41E−06 | 1.92E−05 | 2.46E−11 | 1.30E−05 | 4.77E−05 |
0.50 | 1.13E−11 | 6.38E−08 | 9.54E−08 | 5.31E−12 | 3.14E−07 | 9.59E−07 | 3.09E−12 | 5.07E−06 | 1.29E−05 | 1.83E−12 | 2.32E−05 | 5.06E−05 |
0.55 | 3.69E−13 | 3.34E−08 | 4.73E−08 | 1.64E−10 | 3.62E−07 | 8.21E−07 | 1.12E−10 | 4.98E−06 | 1.14E−05 | 1.52E−09 | 1.48E−05 | 2.18E−05 |
0.60 | 7.57E−16 | 4.92E−08 | 1.61E−07 | 3.30E−11 | 8.79E−07 | 1.31E−06 | 4.15E−11 | 6.92E−06 | 2.62E−05 | 1.00E−10 | 1.01E−05 | 3.64E−05 |
0.65 | 2.71E−11 | 1.09E−07 | 3.84E−07 | 1.15E−11 | 8.00E−07 | 1.09E−06 | 7.51E−11 | 8.68E−06 | 2.21E−05 | 3.95E−12 | 2.91E−05 | 8.70E−05 |
0.70 | 7.53E−11 | 1.52E−07 | 4.27E−07 | 5.28E−15 | 2.51E−07 | 6.59E−07 | 2.41E−09 | 5.23E−06 | 1.33E−05 | 2.86E−10 | 2.90E−05 | 4.57E−05 |
0.75 | 2.88E−12 | 1.14E−07 | 2.23E−07 | 7.83E−12 | 5.42E−07 | 1.14E−06 | 4.65E−13 | 4.18E−06 | 1.40E−05 | 5.54E−09 | 7.05E−06 | 1.44E−05 |
0.80 | 2.25E−13 | 3.10E−08 | 4.12E−08 | 5.49E−13 | 1.27E−06 | 1.84E−06 | 2.98E−09 | 1.41E−05 | 3.77E−05 | 4.55E−09 | 4.36E−05 | 1.24E−04 |
0.85 | 1.20E−12 | 6.03E−08 | 2.00E−07 | 5.82E−12 | 5.33E−07 | 6.59E−07 | 5.66E−09 | 1.12E−05 | 2.27E−05 | 2.63E−09 | 5.77E−05 | 9.25E−05 |
0.90 | 1.37E−11 | 2.61E−07 | 6.87E−07 | 1.29E−10 | 6.74E−07 | 1.17E−06 | 5.03E−10 | 5.43E−06 | 1.73E−05 | 2.11E−09 | 1.14E−05 | 3.96E−05 |
0.95 | 7.01E−13 | 2.70E−07 | 5.49E−07 | 1.38E−09 | 4.04E−06 | 5.27E−06 | 6.65E−08 | 7.40E−05 | 1.41E−04 | 3.26E−07 | 3.51E−04 | 5.19E−04 |
1.00 | 1.65E−13 | 4.47E−08 | 1.25E−07 | 4.10E−12 | 3.90E−08 | 7.36E−08 | 1.52E−12 | 2.89E−07 | 9.33E−07 | 9.68E−13 | 4.53E−07 | 1.64E−06 |