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Type 'q()' to quit R. > par2 = '0.5' > par1 = '500' > n <- as.numeric(par1) > p <- as.numeric(par2) > heads=rbinom(n-1,1,p) > a=2*(heads)-1 > b=diffinv(a,xi=0) > c=1:n > pheads=(diffinv(heads,xi=.5))/c > postscript(file="/var/www/html/rcomp/tmp/1gdto1228240441.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > op=par(mfrow=c(2,1)) > plot(c,b,type='n',main='Law of Averages',xlab='Toss Number',ylab='Excess of Heads',lwd=2,cex.lab=1.5,cex.main=2) > lines(c,b,col='red') > lines(c,rep(0,n),col='black') > plot(c,pheads,type='n',xlab='Toss Number',ylab='Proportion of Heads',lwd=2,cex.lab=1.5) > lines(c,pheads,col='blue') > lines(c,rep(.5,n),col='black') > par(op) > dev.off() null device 1 > b [1] 0 1 0 -1 -2 -3 -4 -3 -4 -5 -6 -5 -4 -5 -4 -5 -6 -7 [19] -6 -5 -4 -3 -4 -5 -6 -7 -8 -7 -8 -7 -8 -9 -8 -7 -8 -9 [37] -10 -9 -10 -9 -10 -9 -10 -9 -10 -11 -10 -9 -8 -7 -8 -7 -6 -5 [55] -4 -3 -2 -3 -2 -1 0 -1 -2 -3 -4 -5 -4 -5 -6 -7 -8 -7 [73] -8 -7 -8 -9 -8 -7 -8 -7 -6 -5 -6 -5 -4 -3 -2 -3 -2 -1 [91] -2 -3 -2 -3 -4 -3 -2 -1 0 -1 -2 -1 0 1 2 1 2 1 [109] 0 -1 0 1 2 3 4 5 6 7 8 9 10 9 10 9 10 9 [127] 10 11 12 13 14 13 12 11 10 11 10 11 12 13 12 13 14 15 [145] 14 15 14 13 12 11 12 13 12 13 14 13 12 11 10 9 8 7 [163] 6 5 4 5 6 5 4 5 6 5 6 5 6 7 8 9 8 9 [181] 10 11 10 9 10 9 10 9 10 11 10 11 12 11 10 9 8 7 [199] 6 7 8 7 6 7 6 5 6 5 6 7 6 5 6 7 8 7 [217] 6 5 6 5 4 5 4 3 4 3 2 3 2 3 4 3 2 3 [235] 4 3 2 1 0 1 0 -1 0 1 0 1 2 1 0 1 0 -1 [253] -2 -1 -2 -3 -2 -3 -4 -3 -2 -1 0 -1 -2 -1 0 -1 -2 -1 [271] -2 -3 -4 -3 -2 -1 -2 -1 -2 -1 -2 -3 -4 -3 -2 -3 -2 -1 [289] -2 -3 -4 -5 -4 -5 -6 -5 -4 -5 -6 -5 -4 -3 -2 -1 -2 -3 [307] -2 -1 0 1 0 -1 -2 -3 -2 -1 -2 -3 -4 -5 -6 -7 -6 -7 [325] -8 -9 -10 -11 -12 -11 -10 -11 -12 -13 -14 -13 -12 -13 -14 -15 -14 -13 [343] -12 -11 -12 -13 -14 -13 -14 -13 -12 -13 -12 -13 -12 -13 -14 -15 -16 -17 [361] -16 -15 -16 -17 -16 -17 -18 -19 -20 -19 -18 -17 -16 -15 -16 -17 -18 -17 [379] -16 -15 -16 -17 -18 -19 -18 -17 -18 -19 -18 -19 -18 -19 -20 -19 -20 -19 [397] -20 -21 -22 -21 -22 -23 -24 -25 -26 -27 -28 -27 -28 -27 -28 -27 -26 -25 [415] -26 -27 -26 -27 -26 -27 -28 -29 -30 -29 -28 -27 -28 -29 -28 -29 -30 -31 [433] -30 -31 -30 -31 -30 -31 -30 -31 -32 -31 -32 -31 -30 -29 -30 -31 -32 -31 [451] -32 -31 -32 -31 -32 -33 -34 -35 -34 -35 -36 -35 -34 -33 -32 -31 -32 -31 [469] -32 -31 -30 -31 -32 -31 -32 -33 -34 -35 -36 -35 -36 -37 -36 -37 -38 -39 [487] -40 -39 -40 -41 -42 -41 -40 -39 -40 -39 -40 -41 -42 -43 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2n2161228240441.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > r <- spectrum(x,main='Raw Periodogram') > dev.off() null device 1 > r $freq [1] 0.002 0.004 0.006 0.008 0.010 0.012 0.014 0.016 0.018 0.020 0.022 0.024 [13] 0.026 0.028 0.030 0.032 0.034 0.036 0.038 0.040 0.042 0.044 0.046 0.048 [25] 0.050 0.052 0.054 0.056 0.058 0.060 0.062 0.064 0.066 0.068 0.070 0.072 [37] 0.074 0.076 0.078 0.080 0.082 0.084 0.086 0.088 0.090 0.092 0.094 0.096 [49] 0.098 0.100 0.102 0.104 0.106 0.108 0.110 0.112 0.114 0.116 0.118 0.120 [61] 0.122 0.124 0.126 0.128 0.130 0.132 0.134 0.136 0.138 0.140 0.142 0.144 [73] 0.146 0.148 0.150 0.152 0.154 0.156 0.158 0.160 0.162 0.164 0.166 0.168 [85] 0.170 0.172 0.174 0.176 0.178 0.180 0.182 0.184 0.186 0.188 0.190 0.192 [97] 0.194 0.196 0.198 0.200 0.202 0.204 0.206 0.208 0.210 0.212 0.214 0.216 [109] 0.218 0.220 0.222 0.224 0.226 0.228 0.230 0.232 0.234 0.236 0.238 0.240 [121] 0.242 0.244 0.246 0.248 0.250 0.252 0.254 0.256 0.258 0.260 0.262 0.264 [133] 0.266 0.268 0.270 0.272 0.274 0.276 0.278 0.280 0.282 0.284 0.286 0.288 [145] 0.290 0.292 0.294 0.296 0.298 0.300 0.302 0.304 0.306 0.308 0.310 0.312 [157] 0.314 0.316 0.318 0.320 0.322 0.324 0.326 0.328 0.330 0.332 0.334 0.336 [169] 0.338 0.340 0.342 0.344 0.346 0.348 0.350 0.352 0.354 0.356 0.358 0.360 [181] 0.362 0.364 0.366 0.368 0.370 0.372 0.374 0.376 0.378 0.380 0.382 0.384 [193] 0.386 0.388 0.390 0.392 0.394 0.396 0.398 0.400 0.402 0.404 0.406 0.408 [205] 0.410 0.412 0.414 0.416 0.418 0.420 0.422 0.424 0.426 0.428 0.430 0.432 [217] 0.434 0.436 0.438 0.440 0.442 0.444 0.446 0.448 0.450 0.452 0.454 0.456 [229] 0.458 0.460 0.462 0.464 0.466 0.468 0.470 0.472 0.474 0.476 0.478 0.480 [241] 0.482 0.484 0.486 0.488 0.490 0.492 0.494 0.496 0.498 0.500 $spec [1] 1.428103e+04 8.375985e+02 2.336787e+03 6.898647e+02 3.878783e+02 [6] 1.455706e+02 1.141998e+02 2.824379e+02 1.082129e+01 4.877629e+00 [11] 1.956200e+01 2.031858e+02 1.251886e+01 2.657510e+01 7.452573e+01 [16] 9.670214e+01 4.038130e+01 1.012565e+01 1.097355e+01 3.183310e-02 [21] 4.121669e+00 3.853093e+01 1.445927e-01 5.851202e+00 3.303199e-01 [26] 2.037303e+00 2.216999e+01 9.270434e+00 4.814536e+00 1.392603e+00 [31] 1.680631e+00 7.670962e-01 1.277424e+00 7.728584e+00 4.753756e+00 [36] 2.899565e-01 1.348323e+01 4.573273e+00 4.174447e+00 5.151928e+00 [41] 7.963422e+00 4.285339e+00 2.498983e+00 2.721826e-01 2.374063e+00 [46] 1.545399e+00 5.567304e+00 1.588052e+00 9.204219e-01 1.497338e+00 [51] 8.812490e-01 3.324723e-02 6.426298e+00 2.630295e+00 1.246838e+00 [56] 1.904939e+00 1.028418e+00 6.648693e-01 1.298189e+00 2.235088e+00 [61] 8.089994e-01 2.270891e+00 1.245542e+00 7.600088e+00 2.669360e-01 [66] 3.417528e-01 5.817322e-02 7.294708e-02 1.659665e+00 1.947514e+00 [71] 2.804460e+00 6.695693e-01 6.893824e+00 3.484190e+00 2.032352e-01 [76] 5.809589e-01 7.519392e-01 4.945612e+00 1.800468e-01 1.079289e+00 [81] 1.598564e-02 1.740036e+00 3.345090e-01 2.091215e-01 2.200421e+00 [86] 6.980426e-01 3.155752e+00 2.245999e-01 1.244231e-01 2.047338e-01 [91] 1.204549e+00 1.740521e-01 3.026835e-01 2.004098e+00 1.386768e+00 [96] 1.057739e-01 1.847489e-01 3.366606e-01 8.321261e-02 8.335406e-01 [101] 1.299514e+00 1.384994e+00 9.697662e-01 5.954619e-02 4.680226e-01 [106] 5.461710e-01 2.246149e-03 6.191056e-01 4.823782e-02 5.571281e-01 [111] 3.719397e-01 3.142537e-01 7.766272e-01 1.036841e+00 8.030519e-02 [116] 1.667943e+00 5.284034e-01 9.454336e-01 3.561227e-01 2.902920e-01 [121] 1.574677e+00 7.130375e-01 4.470351e-01 2.439546e-01 1.887736e-01 [126] 2.235003e-01 1.676475e-01 4.860035e-01 3.133807e-01 2.039922e+00 [131] 1.380114e+00 2.068016e-01 1.568163e-01 1.432783e-02 1.110820e+00 [136] 1.806151e-01 3.383210e-01 3.513349e-02 6.480794e-01 3.408676e-01 [141] 1.370693e-02 2.065593e-01 9.189900e-01 1.847048e-01 2.434788e-02 [146] 6.107676e-02 1.022024e-02 6.072274e-01 3.459675e-01 1.058560e+00 [151] 4.355567e-01 3.072519e-01 2.786223e-01 1.962431e-01 1.875428e-01 [156] 2.268827e-01 2.367848e-01 2.170473e-01 7.839310e-01 1.792135e-01 [161] 2.867921e-01 1.647534e+00 4.087974e-01 4.569192e-01 1.323576e-01 [166] 2.168239e-01 2.348545e-01 1.503611e-01 1.278181e+00 3.534173e-01 [171] 1.012157e+00 7.135221e-02 1.868070e-01 4.057173e-01 4.058703e-01 [176] 2.581467e-01 1.275511e-02 9.271614e-02 1.257400e-01 4.126731e-03 [181] 1.632848e-01 1.911524e-02 6.995083e-01 2.346937e-01 1.102252e-01 [186] 2.439321e-01 8.024934e-02 3.920346e-02 2.331774e-01 4.341476e-01 [191] 7.470673e-02 3.107869e-02 5.732712e-02 1.396403e-01 6.198653e-02 [196] 3.044514e-01 2.073897e-01 3.095086e-01 4.862299e-01 4.252387e-01 [201] 2.259969e-02 1.667558e-02 6.301666e-01 3.167919e-01 1.024861e-03 [206] 9.822116e-02 4.903753e-02 4.906705e-01 1.761620e-01 1.166016e-01 [211] 3.739008e-01 1.971826e-01 3.089017e-01 1.349535e-01 2.172927e-01 [216] 1.570042e-01 2.788082e-01 4.532805e-01 3.844322e-01 4.769009e-01 [221] 2.100376e-02 5.475726e-02 7.409006e-02 2.566028e-01 8.230852e-03 [226] 3.370809e-01 2.677098e-01 2.880347e-02 3.519227e-01 5.513023e-01 [231] 3.285386e-02 1.278730e-01 2.362513e-01 3.147101e-02 1.049627e+00 [236] 2.667075e-02 1.803114e-01 3.262137e-01 4.096300e-01 2.591957e-01 [241] 1.344538e-01 7.564364e-01 8.979424e-02 2.520344e-01 2.876413e-01 [246] 2.926605e-01 3.764961e-02 2.187505e-01 6.498171e-02 2.420598e-01 $coh NULL $phase NULL $kernel NULL $df [1] 1.791590 $bandwidth [1] 0.0005773503 $n.used [1] 500 $orig.n [1] 500 $series [1] "x" $snames NULL $method [1] "Raw Periodogram" $taper [1] 0.1 $pad [1] 0 $detrend [1] TRUE $demean [1] FALSE attr(,"class") [1] "spec" > postscript(file="/var/www/html/rcomp/tmp/35rws1228240441.ps",horizontal=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > cpgram(x,main='Cumulative Periodogram') > dev.off() null device 1 > > system("convert tmp/1gdto1228240441.ps tmp/1gdto1228240441.png") > system("convert tmp/2n2161228240441.ps tmp/2n2161228240441.png") > system("convert tmp/35rws1228240441.ps tmp/35rws1228240441.png") > > > proc.time() user system elapsed 0.821 0.605 1.075