Created
August 15, 2017 15:39
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In [42]: def f(n): | |
...: compl= (sympy.functions.combinatorial.factorials.factorial(n) * sympy.functions.combinatorial.factorials.binomial(SIZE, n) / mp.power(SIZE, n) ) | |
...: p = 1 - compl | |
...: return p | |
...: | |
...: | |
In [43]: for i in range(10,SIZE*10, 50): | |
...: p = f(i) | |
...: print(i, p) | |
...: if p == 1.0: break | |
...: | |
10 0.000449922006149794 | |
60 0.0175480729944565 | |
110 0.0582101266172803 | |
160 0.119504294802539 | |
210 0.197166396615447 | |
260 0.286089996272573 | |
310 0.380878958515124 | |
360 0.476379824410914 | |
410 0.568122652385172 | |
460 0.652622045281599 | |
510 0.727518902045753 | |
560 0.791571393984298 | |
610 0.844525346907527 | |
660 0.886906484261314 | |
710 0.919779354596536 | |
760 0.944511953933143 | |
810 0.962574118637897 | |
860 0.975385078773093 | |
910 0.984213961688216 | |
960 0.990128330271699 | |
1010 0.993980709384245 | |
1060 0.996421247207679 | |
1110 0.997925352877772 | |
1160 0.998827325780647 | |
1210 0.999353712785549 | |
1260 0.999652717228639 | |
1310 0.999818053026988 | |
1360 0.999907059547662 | |
1410 0.999953713163146 | |
1460 0.999977525118225 | |
1510 0.999989360556016 | |
1560 0.999995089604662 | |
1610 0.999997790548893 | |
1660 0.999999030791671 | |
1710 0.999999585514756 | |
1760 0.999999827195683 | |
1810 0.999999929765894 | |
1860 0.999999972171881 | |
1910 0.999999989251290 | |
1960 0.999999995952751 | |
2010 0.999999998514445 | |
2060 0.999999999468458 | |
2110 0.999999999814604 | |
2160 0.999999999936966 | |
2210 0.999999999979110 | |
2260 0.999999999993251 | |
2310 0.999999999997875 | |
2360 0.999999999999348 | |
2410 0.999999999999805 | |
2460 0.999999999999943 | |
2510 0.999999999999984 | |
2560 0.999999999999996 | |
2610 0.999999999999999 | |
2660 1.00000000000000 | |
2710 1.00000000000000 | |
2760 1.00000000000000 |
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