generador de números pseudoaleatorios

57
Streams Xo = 4357 Cuadrado Digitos del Centro No. aleatorio Y0 = 18983449 X 1 = 9834 r1 = 0.9834 Y1 = 96707556 X 2 = 7075 r2 = 0.7075 Y2 = 50055625 X 3 = 0556 r3 = 0.0556 Y3 = 309136 X 4 = 0913 r4 = 0.0913 Y4 = 833569 X 5 = 3356 r5 = 0.3356 Y5 = 11262736 X 6 = 2627 r6 = 0.2627 Y6 = 6901129 X 7 = 0112 r7 = 0.0112 Y7 = 12544 X 8 = 2544 r8 = 0.2544 Y8 = 6471936 X 9 = 7193 r9 = 0.7193 Y9 = 51739249 X 10 = 7392 r 10 = 0.7392 Y 10 = 54641664 X 11 = 6416 r 11 = 0.6416

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Como generar números pseudoaleatorios

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Page 1: Generador de Números Pseudoaleatorios

StreamsXo = 4357

Cuadrado Digitos del Centro No. aleatorioY 0 = 18983449 X 1 = 9834 r 1 = 0.9834Y 1 = 96707556 X 2 = 7075 r 2 = 0.7075Y 2 = 50055625 X 3 = 0556 r 3 = 0.0556Y 3 = 309136 X 4 = 0913 r 4 = 0.0913Y 4 = 833569 X 5 = 3356 r 5 = 0.3356Y 5 = 11262736 X 6 = 2627 r 6 = 0.2627Y 6 = 6901129 X 7 = 0112 r 7 = 0.0112Y 7 = 12544 X 8 = 2544 r 8 = 0.2544Y 8 = 6471936 X 9 = 7193 r 9 = 0.7193Y 9 = 51739249 X 10 = 7392 r 10 = 0.7392Y 10 = 54641664 X 11 = 6416 r 11 = 0.6416

Page 2: Generador de Números Pseudoaleatorios

Streams StreamsXo = 4357 X1 = 3257

Cuadrado Digitos del Centro No. aleatorioY 0 = 14190749 X 2 = 1907 r 1 = 0.1907Y 1 = 6211099 X 3 = 1109 r 2 = 0.1109Y 2 = 2114863 X 4 = 1486 r 3 = 0.1486Y 3 = 1647974 X 5 = 4797 r 4 = 0.4797Y 4 = 7128342 X 6 = 2834 r 5 = 0.2834Y 5 = 13594698 X 7 = 5946 r 6 = 0.5946Y 6 = 16850964 X 8 = 8509 r 7 = 0.8509Y 7 = 50594514 X 9 = 5945 r 8 = 0.5945Y 8 = 50586005 X 10 = 5860 r 9 = 0.586Y 9 = 34837700 X 11 = 8377 r 10 = 0.8377Y 10 = 49089220 X 12 = 0892 r 11 = 0.0892

Page 3: Generador de Números Pseudoaleatorios

Streams ConstanteXo = 4357 a = 6786

Cuadrado Digitos del Centro No. aleatorioY 0 = 29566602 X 1 = 5666 r 1 = 0.5666Y 1 = 38449476 X 2 = 4494 r 2 = 0.4494Y 2 = 30496284 X 3 = 4962 r 3 = 0.4962Y 3 = 33672132 X 4 = 6721 r 4 = 0.6721Y 4 = 45608706 X 5 = 6087 r 5 = 0.6087Y 5 = 41306382 X 6 = 3063 r 6 = 0.3063Y 6 = 20785518 X 7 = 7855 r 7 = 0.7855Y 7 = 53304030 X 8 = 3040 r 8 = 0.304Y 8 = 20629440 X 9 = 6294 r 9 = 0.6294Y 9 = 42711084 X 10 = 7110 r 10 = 0.711Y 10 = 48248460 X 11 = 2484 r 11 = 0.2484

Page 4: Generador de Números Pseudoaleatorios

Ejemplo 2.5

Xo = 6k = 4g= 10

1024c = 11a = 1 + 4 (4) = 17

X 1 1132 9083 874 4665 7656 7287 998 6709 137

10 29211 87912 61813 27714 62415 37916 31017 16118 70019 64720 77021 81322 52023 65924 97425 18526 8427 41528 92229 325

Generar suficientes números entre 0 y 1 con los parámetros X0 = 6, k = 3, g = 3 y c = 7, hasta encontrar el periodo de vida máximo (N).

m = 22 =

Page 5: Generador de Números Pseudoaleatorios

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Page 6: Generador de Números Pseudoaleatorios

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Page 7: Generador de Números Pseudoaleatorios

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Page 13: Generador de Números Pseudoaleatorios

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Page 15: Generador de Números Pseudoaleatorios

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Page 16: Generador de Números Pseudoaleatorios

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Page 17: Generador de Números Pseudoaleatorios

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Page 18: Generador de Números Pseudoaleatorios

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Page 19: Generador de Números Pseudoaleatorios

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Page 20: Generador de Números Pseudoaleatorios

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Page 21: Generador de Números Pseudoaleatorios

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Page 22: Generador de Números Pseudoaleatorios

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Page 23: Generador de Números Pseudoaleatorios

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Page 24: Generador de Números Pseudoaleatorios

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Page 25: Generador de Números Pseudoaleatorios

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Page 26: Generador de Números Pseudoaleatorios

r1= 0.110r2 = 0.887r3 = 0.085r4 = 0.455r5 = 0.747 Fin de ciclor6 = 0.711r7 = 0.097r8 = 0.654

0.1340.2850.8580.6040.2710.6090.3700.3030.1570.6840.6320.7520.7940.5080.6440.9510.1810.0820.4050.9000.317

= 6, k = 3, g = 3 y c = 7, hasta encontrar el periodo de vida

Page 27: Generador de Números Pseudoaleatorios

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Page 28: Generador de Números Pseudoaleatorios

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Page 29: Generador de Números Pseudoaleatorios

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Page 30: Generador de Números Pseudoaleatorios

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Page 31: Generador de Números Pseudoaleatorios

0.9690.4790.1620.7670.0430.7410.6110.4030.8670.7530.8110.7900.4410.5150.7600.9270.7660.0260.4590.8130.8400.2880.9080.4500.6640.3000.1070.8370.2380.0620.0570.9740.5630.5730.7560.8600.6370.8350.2050.4970.4610.8470.4040.8840.0350.6080.3540.021

Page 32: Generador de Números Pseudoaleatorios

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Page 33: Generador de Números Pseudoaleatorios

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Page 34: Generador de Números Pseudoaleatorios

0.1410.4010.8340.1880.2150.6630.2830.8250.0390.6750.4820.2120.6130.4370.4320.3490.9380.9480.1310.2350.0120.2100.5800.8720.8360.2220.7790.2590.4100.9830.7290.3960.7340.4950.4280.2820.8090.7570.8770.9190.6330.7690.0760.3060.2070.5300.0250.442

Page 35: Generador de Números Pseudoaleatorios

0.5310.0420.7250.3290.6050.3040.1740.9660.4300.3150.3730.3530.0040.0770.3220.4890.3280.5890.0210.3760.4020.8510.4710.0130.2270.8620.6700.3990.8010.6240.6190.5360.1250.1360.3180.4230.1990.3970.7680.0600.0230.4090.9670.4460.5980.1710.9160.583

Page 36: Generador de Números Pseudoaleatorios

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Page 37: Generador de Números Pseudoaleatorios

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Page 38: Generador de Números Pseudoaleatorios

0.7030.9640.3960.7510.7770.2260.8460.3880.6020.2370.0450.7740.1760.9990.9940.9110.5000.5110.6930.7980.5740.7720.1430.4350.3980.7840.3420.8210.9730.5460.2910.9580.2970.0580.9900.8450.3710.3190.4390.4810.1950.3310.6390.8680.7700.0930.5880.005

Page 39: Generador de Números Pseudoaleatorios

0.0940.6040.2870.8920.1680.8660.7360.5280.9920.8780.9360.9150.5660.6400.8850.0520.8910.1510.5840.9380.9650.4130.0330.5750.7890.4250.2320.9620.3630.1870.1820.0990.6880.6980.8810.9850.7620.9600.3300.6220.5860.9720.5290.0090.1600.7330.4790.146

Page 40: Generador de Números Pseudoaleatorios

0.4840.2450.1780.0320.5590.5070.6270.6690.3830.5190.8260.0560.9570.2800.7750.1920.2810.7920.4750.0790.3550.0540.9240.7160.1800.0650.1230.1030.7540.8270.0720.2390.0780.3390.7710.1260.1520.6010.2210.7630.9770.6120.4200.1490.5510.3740.3690.286

Page 41: Generador de Números Pseudoaleatorios

0.8750.8860.0680.1730.9490.1470.5180.8100.7730.1590.7170.1960.3480.9210.6660.3330.6720.4330.3650.2200.7460.6940.8140.8560.5700.7060.0140.2430.1450.4680.9630.3800.4690.9790.6620.2670.5430.2410.1110.9030.3670.2530.3110.2900.9410.0150.2600.427

Page 42: Generador de Números Pseudoaleatorios

0.2660.5260.9590.3130.3400.7880.4080.9500.1640.8000.6070.3370.7380.5620.5570.4740.0630.0730.2560.3600.1370.3350.7050.9970.9610.3470.9040.3840.5350.1080.8540.5210.8590.6200.5530.4070.9340.8820.0020.0440.7580.8940.2010.4310.3320.6550.1500.567

Page 43: Generador de Números Pseudoaleatorios

0.6560.1670.8500.4540.7300.4290.2990.0910.5550.4400.4980.4780.1290.2020.4470.6140.4530.7140.1460.5010.5270.9760.5960.1380.3520.9870.7950.5240.9260.7490.7440.6610.2500.2610.4430.5480.3240.5220.8930.1850.1480.5340.0920.5710.7230.2960.0410.708

Page 44: Generador de Números Pseudoaleatorios

0.0470.8080.7400.5950.1210.0690.1890.2310.9450.0810.3890.6180.5200.8430.3380.7550.8440.3540.0370.6420.9180.6160.4860.2780.7420.6280.6860.6650.3160.3900.6350.8020.6410.9010.3340.6880.7150.1630.7830.3250.5390.1750.9820.7120.1130.9370.9320.849

Page 45: Generador de Números Pseudoaleatorios

0.4380.4480.6310.7350.5120.7100.0800.3720.3360.7220.2790.7590.9100.4830.2290.8960.2340.9950.9280.7820.3090.2570.3770.4190.1330.2690.5760.8060.7070.0300.5250.9420.0310.5420.2250.8290.1050.8040.6740.4660.9300.8150.8730.8530.5040.5770.8220.989

Page 46: Generador de Números Pseudoaleatorios

0.8280.0890.5210.8760.9020.3510.9710.5130.7270.3620.1700.8990.3010.1240.1190.0360.6250.6360.8180.9230.6990.8970.2680.5600.5230.9090.4670.9460.0980.6710.4160.0830.4220.1830.1150.9700.4960.4440.5640.6060.3200.4560.7640.9930.8950.2180.7130.130

Page 47: Generador de Números Pseudoaleatorios

0.2190.7290.4120.0170.2930.9910.8610.6530.1170.0030.0610.0400.6910.7650.0100.1770.0160.2760.7090.0630.0900.5380.1580.7000.9140.5500.3570.0870.4880.3120.3070.2240.8130.8230.0060.1100.8870.0850.4550.7470.7110.097

Page 48: Generador de Números Pseudoaleatorios

a = 26 g = 3b = 27 el valor de "b", debe ser un número imparc = 27m = 8

X 0 = 13x 1 = 4 r 1 = 0.57142857x 2 = 7 r 2 = 1x 3 = 2 r 3 = 0.28571429x 4 = 1 r 4 = 0.14285714x 5 = 0 r 5 = 0x 6 = 3 r 6 = 0.42857143x 7 = 6 r 7 = 0.85714286x 8 = 5 r 8 = 0.71428571x 9 = 4 r 9 = 0.57142857x 10 = 7 r 10 = 1x 11 = 2 r 11 = 0.28571429x 12 = 1 r 12 = 0.14285714x 13 = 0 r 13 = 0x 14 = 3 r 14 = 0.42857143x 15 = 6 r 15 = 0.85714286x 16 = 5 r 16 = 0.71428571x 17 = 4 r 17 = 0.57142857x 18 = 7 r 18 = 1x 19 = 2 r 19 = 0.28571429x 20 = 1 r 20 = 0.14285714x 21 = 0 r 21 = 0

Page 49: Generador de Números Pseudoaleatorios

X 1 = 65 m= 100X 2 = 89X 3 = 98X 4 = 3X 5 = 69X 6 = 34 r 1 = 0.3400X 7 = 23 r 2 = 0.2300X 8 = 21 r 3 = 0.2100X 9 = 24 r 4 = 0.2400X 10 = 93 r 5 = 0.9300X 11 = 27 r 6 = 0.2700X 12 = 50 r 7 = 0.5000X 13 = 71 r 8 = 0.7100X 14 = 95 r 9 = 0.9500X 15 = 88 r 10 = 0.8800X 16 = 15 r 11 = 0.1500X 17 = 65 r 12 = 0.6500X 18 = 36 r 13 = 0.3600X 19 = 31 r 14 = 0.3100X 20 = 19 r 15 = 0.1900X 21 = 34 r 16 = 0.3400X 22 = 99 r 17 = 0.9900X 23 = 35 r 18 = 0.3500X 24 = 66 r 19 = 0.6600X 25 = 85 r 20 = 0.8500X 26 = 19 r 21 = 0.1900X 27 = 18 r 22 = 0.1800X 28 = 53 r 23 = 0.5300X 29 = 19 r 24 = 0.1900X 30 = 4 r 25 = 0.0400X 31 = 23 r 26 = 0.2300X 32 = 41 r 27 = 0.4100X 33 = 94 r 28 = 0.9400X 34 = 13 r 29 = 0.1300X 35 = 17 r 30 = 0.1700X 36 = 40 r 31 = 0.4000X 37 = 81 r 32 = 0.8100X 38 = 75 r 33 = 0.7500X 39 = 88 r 34 = 0.8800X 40 = 5 r 35 = 0.0500X 41 = 45 r 36 = 0.4500X 42 = 26 r 37 = 0.2600X 43 = 1 r 38 = 0.0100X 44 = 89 r 39 = 0.8900X 45 = 94 r 40 = 0.9400X 46 = 39 r 41 = 0.3900X 47 = 65 r 42 = 0.6500

Page 50: Generador de Números Pseudoaleatorios

X 48 = 66 r 43 = 0.6600X 49 = 55 r 44 = 0.5500X 50 = 49 r 45 = 0.4900X 51 = 88 r 46 = 0.8800X 52 = 53 r 47 = 0.5300

Page 51: Generador de Números Pseudoaleatorios

ss 0.16666667ssAssAAAsAsss

Page 52: Generador de Números Pseudoaleatorios

k = 2g= 5

32a = 5 + 8 (2) = 21

Xo = 17X1 = 357 5 r1= 0.161X2= 105 9 r2 = 0.290

X3 = 189 29 r3 = 0.935X4 = 609 1 r4 = 0.032X5 = 21 21 r5 = 0.677X6 = 441 25 r6 = 0.806X7 = 525 13 r7 = 0.419X8 = 273 17 r8 = 0.548X9= 357 5 r9 = 0.161

X10 = 105 9 r10 = 0.290

m = 23 =

Page 53: Generador de Números Pseudoaleatorios

N = 2^(g-2) =N= 8 8