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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/1nl8o1228060329.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 -1 0 -1 0 1 0 -1 0 1 0 1 2 3 [19] 2 1 0 1 0 -1 -2 -3 -4 -3 -2 -1 0 -1 0 1 2 3 [37] 4 5 4 5 6 7 6 5 4 5 6 5 4 5 6 5 6 5 [55] 6 5 6 7 8 7 8 7 6 7 8 7 6 7 8 9 10 9 [73] 10 11 12 13 12 11 10 9 10 11 10 9 8 9 8 7 6 5 [91] 4 3 2 1 0 -1 -2 -1 0 -1 0 -1 -2 -1 0 -1 -2 -3 [109] -2 -3 -2 -1 -2 -3 -4 -3 -4 -3 -2 -3 -2 -3 -4 -3 -4 -5 [127] -6 -5 -4 -3 -4 -3 -2 -3 -4 -5 -6 -7 -8 -9 -8 -9 -8 -9 [145] -8 -7 -8 -9 -10 -11 -10 -11 -10 -9 -10 -11 -12 -13 -12 -11 -10 -11 [163] -10 -9 -10 -9 -10 -11 -12 -11 -12 -13 -12 -13 -14 -15 -14 -13 -14 -15 [181] -14 -15 -16 -15 -14 -13 -14 -15 -14 -15 -16 -17 -18 -19 -20 -19 -20 -19 [199] -18 -17 -16 -15 -14 -15 -16 -15 -16 -15 -14 -15 -16 -15 -14 -13 -12 -11 [217] -10 -11 -10 -9 -10 -11 -10 -11 -12 -13 -14 -15 -14 -13 -12 -11 -10 -9 [235] -10 -9 -10 -11 -12 -11 -10 -11 -12 -13 -12 -11 -10 -9 -10 -9 -10 -11 [253] -12 -13 -12 -11 -12 -11 -10 -9 -8 -9 -8 -7 -6 -5 -4 -5 -4 -5 [271] -4 -5 -6 -5 -4 -3 -4 -3 -4 -3 -4 -3 -4 -3 -2 -3 -2 -1 [289] -2 -1 -2 -1 0 1 0 -1 0 -1 -2 -1 0 1 0 1 0 1 [307] 0 1 0 1 0 1 2 1 0 -1 -2 -1 -2 -1 -2 -1 -2 -1 [325] -2 -1 0 -1 0 1 0 1 0 -1 -2 -1 0 -1 -2 -1 0 -1 [343] -2 -1 -2 -1 0 -1 -2 -1 0 -1 0 1 2 1 0 1 0 -1 [361] 0 1 0 -1 0 -1 -2 -1 0 -1 -2 -1 0 1 0 -1 -2 -3 [379] -2 -3 -2 -3 -2 -1 0 -1 -2 -1 -2 -3 -2 -1 0 1 0 -1 [397] 0 -1 -2 -3 -4 -5 -6 -5 -6 -5 -4 -5 -6 -7 -8 -7 -6 -7 [415] -6 -7 -8 -7 -8 -9 -10 -11 -10 -11 -10 -11 -12 -13 -12 -13 -12 -13 [433] -14 -13 -14 -15 -16 -15 -14 -15 -16 -15 -16 -17 -18 -17 -16 -17 -18 -17 [451] -16 -15 -14 -13 -14 -15 -14 -15 -16 -15 -14 -15 -14 -15 -16 -15 -16 -17 [469] -18 -19 -20 -21 -20 -21 -22 -23 -22 -23 -22 -23 -22 -21 -20 -19 -18 -17 [487] -16 -15 -14 -13 -14 -13 -12 -13 -14 -13 -12 -13 -12 -11 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2ael81228060330.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] 2.668011e+03 7.615652e+03 3.214911e+02 1.308520e+01 1.859322e+02 [6] 2.745519e+02 1.073569e+02 2.193475e+00 5.632343e+01 2.011500e+01 [11] 9.365363e+01 3.174197e+01 2.598092e+01 5.738959e+00 1.246308e+00 [16] 4.443438e+01 2.035304e+01 1.982179e+01 2.659942e+00 1.805824e+01 [21] 1.106222e+00 7.812802e+00 2.969982e+00 2.431667e+01 9.978646e-02 [26] 4.456115e-01 5.519456e+00 1.623130e+01 3.398471e+00 1.105933e+01 [31] 1.748016e+01 6.423403e+00 5.280420e+00 2.028841e+01 8.092700e+00 [36] 7.537988e+00 2.490299e+00 7.452310e-02 6.366449e-01 1.023169e-01 [41] 6.926169e-01 2.131006e+00 3.864121e+00 1.228289e+01 3.122157e+00 [46] 3.015273e+00 8.540240e-01 4.401637e+00 9.127553e-01 2.982851e+00 [51] 1.714424e+00 1.347636e+00 8.592756e-01 8.953090e-01 1.468900e+00 [56] 1.034697e+00 7.552139e+00 2.585952e+00 1.498573e-01 8.076586e-02 [61] 2.136464e-01 2.498298e-01 4.013754e+00 3.097745e-01 2.187182e+00 [66] 1.588098e+00 1.857163e-01 1.635618e-01 9.025759e-02 3.802214e-01 [71] 1.590882e-01 6.087047e-01 2.097620e+00 2.743502e-01 2.170619e+00 [76] 9.870828e-01 1.006837e+00 5.525265e-01 3.107585e-01 4.017996e-01 [81] 8.740291e-01 2.829606e+00 7.461510e-01 2.238305e+00 2.426167e+00 [86] 8.990786e-01 2.130446e+00 8.910881e-01 5.039583e-01 2.178800e+00 [91] 5.598770e-01 3.751612e-01 2.547098e-01 5.677591e-01 5.094148e-01 [96] 6.500281e-02 2.674978e-01 6.884289e-01 7.547560e-01 1.244211e-01 [101] 8.433929e-01 7.626375e-01 1.043071e-01 5.995051e-01 1.800109e+00 [106] 1.073932e+00 8.075519e-01 3.480807e-01 1.865273e-01 1.338092e+00 [111] 5.611082e-01 2.393942e-01 4.864469e-01 1.836623e-01 9.373859e-01 [116] 2.054331e+00 1.386171e-01 1.437973e-02 3.275636e-01 2.478095e-01 [121] 4.326372e-01 3.440606e-01 2.740347e-01 1.912306e-01 1.507354e+00 [126] 7.596389e-01 2.090475e-01 3.103025e-01 8.050157e-01 1.193748e+00 [131] 7.570187e-01 6.113224e-01 4.581432e-01 1.068708e-01 2.886985e-02 [136] 1.032721e+00 1.061137e-01 1.393406e+00 3.353740e-02 4.095023e-01 [141] 1.333389e+00 1.656716e+00 2.605945e-01 6.799235e-01 1.444387e+00 [146] 1.341090e-02 3.541855e-01 1.129479e+00 5.652486e-01 1.247764e-01 [151] 4.405436e-03 2.364668e-01 5.613469e-01 7.396511e-01 2.634846e-02 [156] 5.472143e-01 2.273284e-01 2.125146e-01 7.992989e-01 3.222131e-01 [161] 3.241894e-01 1.552429e-01 5.421102e-02 2.317071e-01 1.210134e-01 [166] 7.725085e-02 5.105446e-01 8.368878e-01 3.318765e-01 1.128055e-01 [171] 4.260392e-02 1.484433e-02 2.531105e-01 1.810183e-03 3.846671e-01 [176] 1.770262e-01 8.659982e-01 9.197613e-02 4.383639e-02 6.102096e-02 [181] 2.025387e-01 7.634192e-01 2.483447e-01 2.361765e-01 2.032213e-01 [186] 5.187494e-01 4.469494e-01 5.430173e-01 2.139843e-01 1.043208e-01 [191] 9.088435e-01 1.916561e-01 1.560492e-02 1.725875e-01 3.301486e-01 [196] 2.747193e-02 7.271493e-02 1.565138e-01 3.579398e-01 5.839573e-01 [201] 6.040425e-01 5.049593e-01 1.676542e-02 2.843490e-01 7.165311e-02 [206] 2.249925e-02 1.672820e-02 2.152245e-02 1.839830e-01 6.004233e-02 [211] 1.225769e-01 4.073108e-02 9.828632e-01 1.140432e+00 3.212729e-01 [216] 1.264240e-01 4.945835e-02 3.086630e-01 7.524468e-01 9.195121e-02 [221] 3.021956e-01 1.874651e-01 2.698657e-02 5.030102e-03 2.950008e-02 [226] 1.575659e-01 4.468188e-01 1.477484e-01 4.563065e-01 5.556695e-02 [231] 3.976164e-01 3.011193e-02 8.770915e-02 1.462639e-01 1.104963e-01 [236] 4.604992e-02 5.441033e-01 8.923045e-01 2.513559e-01 9.098898e-02 [241] 1.316631e-01 5.006459e-02 1.935434e-01 8.719232e-03 4.405813e-01 [246] 1.843574e-01 3.346640e-01 4.527498e-01 6.399009e-01 5.599274e-02 $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/3c7a31228060330.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/1nl8o1228060329.ps tmp/1nl8o1228060329.png") > system("convert tmp/2ael81228060330.ps tmp/2ael81228060330.png") > system("convert tmp/3c7a31228060330.ps tmp/3c7a31228060330.png") > > > proc.time() user system elapsed 1.906 1.022 2.035