Table 1
Comparison of optimal sampling and the new sampling technique in terms of their absolute differences, | ΔN | and | ΔM |, from the analytical expectations for Ntot and Mtot (Eqs. (13) and (14)) as a function of the upper mass limit, Mmax.
| Analytical value | Optimal sampling | New sampling method | ||||||||
|
|
||||||||||
| M max | N tot | M tot | N tot | | ΔN | | M tot | | ΔM | | N tot | | ΔN | | M tot | | ΔM | |
| [M⊙] | [M⊙] | [M⊙] | [M⊙] | [M⊙] | [M⊙] | |||||
|
|
||||||||||
| 21.5 | 3.3 | 31.5 | 4 | 0.7 | 31.0 | 0.5 | 3 | 0.3 | 29.9 | 1.6 |
| 46.4 | 8.3 | 103.4 | 9 | 0.7 | 99.9 | 3.5 | 8 | 0.3 | 102.0 | 1.4 |
| 100 | 19 | 299.6 | 21 | 2 | 298.1 | 1.5 | 19 | 0 | 299.6 | 0.0 |
| 215.4 | 42.1 | 810.8 | 45 | 2.9 | 807.3 | 3.5 | 42 | 0.1 | 810.3 | 0.4 |
| 464.2 | 91.8 | 2103.0 | 97 | 5.2 | 2100.2 | 2.8 | 91 | 0.8 | 2098.8 | 4.2 |
| 1000 | 199 | 5298.3 | 208 | 9 | 5296.2 | 2.1 | 199 | 0 | 5298.3 | 0.0 |
| 2154.4 | 429.9 | 13068.5 | 446 | 16.1 | 13068.1 | 0.4 | 429 | 0.9 | 13064.0 | 4.4 |
| 4641.6 | 927.3 | 31717.7 | 956 | 28.7 | 31716.1 | 1.6 | 927 | 0.3 | 31716.1 | 1.6 |
| 10000 | 1999 | 76009.0 | 2052 | 53 | 76005.0 | 4.0 | 1999 | 0 | 76009.0 | 0.0 |
| 21544.3 | 4307.9 | 180292.4 | 4410 | 102.1 | 180290.4 | 2.0 | 4307 | 0.9 | 180288.0 | 4.3 |
| 46415.9 | 9282.2 | 424053.7 | 9481 | 198.8 | 424051.9 | 1.8 | 9282 | 0.2 | 424052.8 | 0.9 |
| 100000 | 19999 | 990348.8 | 20391 | 392 | 990347.0 | 1.7 | 19999 | 0 | 990348.8 | 0.0 |
| 215443.5 | 43087.7 | 2 299000.7 | 43868 | 780.3 | 2298998.8 | 1.9 | 43087 | 0.7 | 2 298997.2 | 3.5 |
| 464158.9 | 92830.8 | 5 309301.9 | 94395 | 1564.2 | 5309297.7 | 4.2 | 92830 | 0.8 | 5 309298.1 | 3.9 |
| 1 000000 | 199999 | 12206072.6 | 203154 | 3155 | 12206070.8 | 1.8 | 199999 | 0 | 12206072.6 | 0.0 |
| 2 154434.7 | 430885.9 | 27950776.1 | 437276 | 6390.1 | 27950776.5 | 0.4 | 430885 | 0.9 | 27950771.4 | 4.7 |
| 4641588.8 | 928316.8 | 63780672.7 | 941318 | 13 001.2 | 63780665.3 | 7.4 | 928316 | 0.8 | 63780668.8 | 3.8 |
Notes. Deviations above the acceptable level (ΔN = 1 and ΔM = 5 M⊙) are shown in bold. All values are rounded.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.