Ley de metcalfe y ley de reed sobre el beneficio de las redes
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Ley de metcalfe y ley de reed sobre el beneficio de las redes

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Analisis matemático y gráfico de las leyes de Melcalfe y Reed como explicación matemática del efecto multiplicador de Internet y la web 2.0

Analisis matemático y gráfico de las leyes de Melcalfe y Reed como explicación matemática del efecto multiplicador de Internet y la web 2.0

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Ley de metcalfe y ley de reed sobre el beneficio de las redes Ley de metcalfe y ley de reed sobre el beneficio de las redes Document Transcript

  • LEY DE METCALFE Y LEY DE REED "El beneficio de cada uno de los miembros de una red aumenta con la adicion de uno nuevo" VALOR DE LA RED Beneficio en NUMERO DE PARA CADA UNO Veces los MIEMBROS DE LOS MIEMBROS miembros Ley de Reed n*(n-1)/2 2n-n-1 1 0 0,0 0 2 1 0,5 1 LEY DE METCALFE 3 3 1,0 4 4 6 1,5 11 5 10 2,0 26 6.000 6 15 2,5 57 7 21 3,0 120 5.000 8 28 3,5 247 9 36 4,0 502 10 45 4,5 1.013 4.000 11 55 5,0 2.036 12 66 5,5 4.083 3.000 13 78 6,0 8.178 14 91 6,5 16.369 2.000 15 105 7,0 32.752 16 120 7,5 65.519 17 136 8,0 131.054 1.000 18 153 8,5 262.125 19 171 9,0 524.268 0 20 190 9,5 1.048.555 1 8 15 22 29 36 43 50 57 64 71 78 85 92 99 21 210 10,0 2.097.130 22 231 10,5 4.194.281 NUMERO DE MIEMBROS 23 253 11,0 8.388.584 24 276 11,5 16.777.191 25 300 12,0 33.554.406 26 325 12,5 67.108.837 27 351 13,0 134.217.700 28 378 13,5 268.435.427 29 406 14,0 536.870.882 Ley de Reed 30 435 14,5 1.073.741.793 31 465 15,0 2.147.483.616 32 496 15,5 4.294.967.263 1.400.000.000.000.000.000 Billones 33 528 16,0 8.589.934.558 34 561 16,5 17.179.869.149 1.200.000.000.000.000.000 35 595 17,0 34.359.738.332 36 630 17,5 68.719.476.699 1.000.000.000.000.000.000 37 666 18,0 137.438.953.434 38 703 18,5 274.877.906.905 800.000.000.000.000.000 39 741 19,0 549.755.813.848 40 780 19,5 1.099.511.627.735 600.000.000.000.000.000 41 820 20,0 2.199.023.255.510 42 861 20,5 4.398.046.511.061 400.000.000.000.000.000 43 903 21,0 8.796.093.022.164 44 946 21,5 17.592.186.044.371 200.000.000.000.000.000 45 990 22,0 35.184.372.088.786 46 1.035 22,5 70.368.744.177.617 0 47 1.081 23,0 140.737.488.355.280 1 10 19 28 37 46 55 64 73 82 91 100 48 1.128 23,5 281.474.976.710.607 NUMERO DE MIEMBROS 49 1.176 24,0 562.949.953.421.262 50 1.225 24,5 1.125.899.906.842.570 51 1.275 25,0 2.251.799.813.685.200 52 1.326 25,5 4.503.599.627.370.440 53 1.378 26,0 9.007.199.254.740.940 54 1.431 26,5 18.014.398.509.481.900 55 1.485 27,0 36.028.797.018.963.900 56 1.540 27,5 72.057.594.037.927.900 57 1.596 28,0 144.115.188.075.856.000 58 1.653 28,5 288.230.376.151.712.000 59 1.711 29,0 576.460.752.303.423.000 60 1.770 29,5 1.152.921.504.606.850.000 61 1.830 30,0 2.305.843.009.213.690.000 62 1.891 30,5 4.611.686.018.427.390.000 63 1.953 31,0 9.223.372.036.854.780.000 64 2.016 31,5 18.446.744.073.709.600.000 65 2.080 32,0 36.893.488.147.419.100.000 66 2.145 32,5 73.786.976.294.838.200.000 67 2.211 33,0 147.573.952.589.676.000.000 68 2.278 33,5 295.147.905.179.353.000.000 69 2.346 34,0 590.295.810.358.706.000.000 70 2.415 34,5 1.180.591.620.717.410.000.000 71 2.485 35,0 2.361.183.241.434.820.000.000 72 2.556 35,5 4.722.366.482.869.650.000.000 73 2.628 36,0 9.444.732.965.739.290.000.000 74 2.701 36,5 18.889.465.931.478.600.000.000 75 2.775 37,0 37.778.931.862.957.200.000.000 76 2.850 37,5 75.557.863.725.914.300.000.000 77 2.926 38,0 151.115.727.451.829.000.000.000 78 3.003 38,5 302.231.454.903.657.000.000.000 79 3.081 39,0 604.462.909.807.315.000.000.000 80 3.160 39,5 1.208.925.819.614.630.000.000.000 81 3.240 40,0 2.417.851.639.229.260.000.000.000 82 3.321 40,5 4.835.703.278.458.520.000.000.000 83 3.403 41,0 9.671.406.556.917.030.000.000.000 84 3.486 41,5 19.342.813.113.834.100.000.000.000 85 3.570 42,0 38.685.626.227.668.100.000.000.000 86 3.655 42,5 77.371.252.455.336.300.000.000.000 87 3.741 43,0 154.742.504.910.673.000.000.000.000 88 3.828 43,5 309.485.009.821.345.000.000.000.000 89 3.916 44,0 618.970.019.642.690.000.000.000.000 90 4.005 44,5 1.237.940.039.285.380.000.000.000.000 91 4.095 45,0 2.475.880.078.570.760.000.000.000.000 92 4.186 45,5 4.951.760.157.141.520.000.000.000.000 93 4.278 46,0 9.903.520.314.283.040.000.000.000.000 94 4.371 46,5 19.807.040.628.566.100.000.000.000.000 95 4.465 47,0 39.614.081.257.132.200.000.000.000.000 96 4.560 47,5 79.228.162.514.264.300.000.000.000.000 97 4.656 48,0 158.456.325.028.529.000.000.000.000.000 98 4.753 48,5 316.912.650.057.057.000.000.000.000.000 99 4.851 49,0 633.825.300.114.115.000.000.000.000.000 100 4.950 49,5 1.267.650.600.228.230.000.000.000.000.000