R version 2.8.0 (2008-10-20) Copyright (C) 2008 The R Foundation for Statistical Computing ISBN 3-900051-07-0 R is free software and comes with ABSOLUTELY NO WARRANTY. You are welcome to redistribute it under certain conditions. Type 'license()' or 'licence()' for distribution details. R is a collaborative project with many contributors. Type 'contributors()' for more information and 'citation()' on how to cite R or R packages in publications. Type 'demo()' for some demos, 'help()' for on-line help, or 'help.start()' for an HTML browser interface to help. Type 'q()' to quit R. > par20 = '' > par19 = '' > par18 = '' > par17 = '' > par16 = '' > par15 = '' > par14 = '' > par13 = '' > par12 = '' > par11 = '' > par10 = '' > par9 = '' > par8 = '' > par7 = '' > par6 = '' > par5 = '' > par4 = '' > par3 = '' > par2 = '0.5' > par1 = '500' > ylab = '' > xlab = '' > main = '' > 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/1gppo1228213794.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 0 1 0 1 0 -1 -2 -1 0 1 2 1 2 3 [19] 2 3 4 5 4 3 2 1 2 1 0 -1 0 1 2 3 4 3 [37] 2 1 0 -1 -2 -3 -2 -1 -2 -3 -2 -3 -2 -1 -2 -3 -4 -3 [55] -2 -1 0 -1 -2 -3 -2 -3 -4 -3 -2 -1 -2 -3 -4 -3 -2 -3 [73] -2 -3 -4 -5 -6 -7 -8 -7 -8 -9 -8 -7 -6 -7 -6 -7 -8 -9 [91] -10 -11 -12 -13 -14 -13 -12 -11 -10 -9 -10 -9 -8 -9 -8 -7 -8 -9 [109] -10 -9 -10 -11 -10 -11 -10 -11 -10 -9 -8 -9 -10 -9 -10 -11 -10 -11 [127] -10 -11 -12 -11 -12 -13 -12 -13 -12 -13 -14 -15 -14 -15 -14 -13 -14 -15 [145] -16 -17 -16 -15 -14 -13 -14 -13 -12 -13 -12 -13 -14 -15 -16 -17 -16 -15 [163] -16 -15 -14 -15 -14 -13 -14 -13 -12 -13 -14 -13 -12 -11 -10 -11 -10 -11 [181] -10 -9 -8 -7 -6 -7 -6 -5 -4 -3 -2 -3 -4 -5 -6 -5 -6 -7 [199] -6 -7 -8 -9 -10 -9 -8 -7 -8 -7 -8 -9 -8 -9 -8 -7 -8 -9 [217] -8 -9 -10 -11 -10 -9 -10 -9 -8 -7 -6 -7 -8 -9 -10 -9 -10 -9 [235] -8 -9 -8 -7 -8 -9 -10 -11 -12 -13 -12 -11 -12 -11 -12 -13 -12 -13 [253] -14 -13 -14 -13 -12 -13 -12 -11 -10 -11 -10 -9 -8 -7 -6 -5 -6 -7 [271] -6 -5 -6 -5 -4 -3 -2 -1 -2 -3 -4 -5 -6 -5 -6 -7 -8 -9 [289] -10 -9 -8 -9 -10 -11 -10 -11 -10 -11 -10 -9 -10 -9 -10 -9 -10 -11 [307] -10 -9 -8 -7 -8 -9 -8 -9 -10 -11 -10 -11 -12 -13 -14 -13 -12 -11 [325] -12 -11 -12 -11 -10 -9 -10 -11 -12 -11 -10 -11 -10 -11 -10 -11 -12 -13 [343] -12 -13 -12 -13 -14 -15 -16 -15 -16 -15 -16 -15 -14 -13 -12 -13 -14 -13 [361] -14 -13 -14 -15 -14 -13 -14 -15 -14 -15 -16 -17 -16 -17 -16 -15 -16 -17 [379] -16 -17 -18 -17 -18 -19 -20 -21 -22 -23 -22 -21 -22 -21 -22 -23 -24 -23 [397] -22 -23 -22 -21 -20 -19 -18 -19 -18 -19 -20 -19 -18 -17 -16 -15 -16 -15 [415] -16 -17 -16 -15 -16 -15 -14 -15 -14 -15 -14 -15 -16 -15 -16 -17 -18 -17 [433] -18 -19 -18 -19 -18 -19 -18 -17 -16 -17 -16 -15 -14 -13 -14 -13 -14 -15 [451] -16 -17 -18 -19 -20 -21 -20 -19 -18 -17 -16 -17 -16 -15 -14 -13 -12 -11 [469] -12 -11 -10 -9 -8 -7 -8 -9 -8 -7 -6 -7 -8 -7 -8 -7 -8 -7 [487] -6 -7 -8 -7 -6 -5 -4 -5 -4 -3 -2 -1 -2 -1 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2ydd81228213794.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] 6.147829e+00 2.042470e+03 4.648703e+01 3.156062e+02 1.178614e+01 [6] 2.028202e+02 2.601212e+02 3.530826e+01 1.642434e+01 1.977923e+02 [11] 6.431317e+01 1.017339e+02 3.666378e+01 3.895143e+01 3.390071e+01 [16] 1.587892e+01 3.267725e+01 2.665947e+01 1.273575e+01 6.848528e-01 [21] 8.484333e+00 3.840554e+01 1.610401e+01 1.640252e+01 6.853512e+00 [26] 1.376106e+00 1.639656e+00 1.030521e+01 3.832886e+01 1.115523e+00 [31] 1.779242e+01 4.488474e+00 5.437390e+00 5.056121e+00 1.241538e-01 [36] 4.942727e+00 5.640196e+00 1.421972e+00 7.432375e+00 5.061665e+00 [41] 4.994556e+00 6.029471e+00 1.721782e+00 3.147673e+00 5.643592e+00 [46] 5.174596e+00 5.845044e+00 2.558611e+00 4.832121e+00 2.917512e+00 [51] 5.852712e-01 4.005792e+00 6.783357e-01 3.409601e+00 2.034495e+00 [56] 1.360922e+00 1.035494e+00 4.824399e-02 1.504138e+00 2.373428e+00 [61] 3.490609e-01 1.397228e-02 1.098888e+00 3.088308e+00 7.351770e-01 [66] 3.361041e+00 7.991745e-02 2.383069e+00 1.043901e+00 1.834423e+00 [71] 6.808198e+00 3.234840e+00 5.797228e-01 7.854955e-01 1.226671e+00 [76] 2.572280e-01 2.876040e+00 1.976729e+00 3.766642e-01 1.088172e+00 [81] 1.371253e-01 4.700327e-01 7.144667e-01 1.062120e-01 4.812360e-01 [86] 2.629072e-01 5.064331e-01 1.096992e+00 7.434942e-01 1.220041e+00 [91] 6.615164e-01 5.279434e-02 1.053349e+00 7.873277e-02 1.159752e+00 [96] 4.010768e-01 1.043570e+00 3.872659e-01 3.906822e-02 4.842910e-01 [101] 1.450287e-01 1.822756e-01 2.796594e-01 4.975189e-01 6.180984e-01 [106] 2.392367e-01 6.901549e-02 4.817248e-01 5.013023e-01 3.925610e-02 [111] 8.441810e-02 6.540944e-01 7.629934e-01 3.822011e-01 2.258169e+00 [116] 5.839969e-01 1.432007e-01 1.880575e-01 2.371022e-01 3.706304e-01 [121] 1.050656e+00 8.673932e-02 9.938101e-03 2.857244e-01 5.427076e-02 [126] 2.224245e-01 7.680705e-01 5.057391e-01 3.520440e-01 4.122255e-01 [131] 8.844632e-01 2.864199e-01 4.713284e-01 2.084869e-01 2.294004e-01 [136] 1.717854e-01 2.555847e-02 9.394629e-02 2.821748e-01 7.538238e-01 [141] 1.052800e-01 6.214069e-01 3.633658e-01 3.324050e-01 7.074797e-02 [146] 2.079652e-01 1.207508e-01 1.848849e-01 5.436533e-01 1.848584e-01 [151] 6.540543e-02 3.681108e+00 1.248307e-01 1.565785e+00 3.047898e-01 [156] 5.310486e-02 2.373774e-02 1.841283e-01 3.499768e-01 9.862049e-02 [161] 3.142063e-01 6.151124e-01 2.750435e-02 4.128612e-01 1.944997e-01 [166] 1.733799e-01 2.002750e-01 2.039236e-01 5.800189e-01 6.338378e-01 [171] 1.389687e-01 7.215394e-01 6.326518e-01 2.129430e+00 4.626281e-01 [176] 2.876627e-01 6.447053e-02 3.464123e-01 2.425019e-01 1.975276e-01 [181] 8.909475e-01 9.872307e-02 1.357523e-01 9.877679e-02 2.623937e-01 [186] 2.891980e-01 3.620020e-01 5.759000e-01 4.177054e-02 9.827724e-02 [191] 3.887970e-01 4.799767e-01 5.530960e-02 1.996244e-01 2.502268e-01 [196] 1.101043e-02 5.148784e-02 8.313930e-01 2.187945e-01 6.979656e-01 [201] 1.029839e-01 3.750447e-01 7.555282e-01 1.653975e-01 1.395771e-01 [206] 1.256724e-01 1.939644e-01 3.820183e-01 2.027478e-02 1.820814e-01 [211] 2.679883e-01 2.252216e-01 5.184308e-01 2.835562e-01 1.720652e-01 [216] 7.292103e-02 8.220921e-02 4.374870e-01 3.728290e-01 1.181026e-01 [221] 1.785317e-01 5.145106e-01 2.502031e-01 4.512361e-06 7.898808e-01 [226] 4.030982e-01 2.116733e-01 1.602512e-01 6.242852e-02 5.153164e-01 [231] 6.039555e-01 3.440512e-01 3.125625e-01 5.497205e-01 7.904579e-02 [236] 2.539566e-01 2.401370e-01 2.620178e-01 7.056781e-02 1.083316e-01 [241] 2.061756e-02 8.493097e-02 7.682395e-03 3.293964e-02 6.026863e-02 [246] 4.077740e-02 1.466924e-02 1.364757e-01 1.761256e-01 2.782075e-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/3pvly1228213794.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/1gppo1228213794.ps tmp/1gppo1228213794.png") > system("convert tmp/2ydd81228213794.ps tmp/2ydd81228213794.png") > system("convert tmp/3pvly1228213794.ps tmp/3pvly1228213794.png") > > > proc.time() user system elapsed 0.864 0.645 1.096