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. > 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/1o7711228236351.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 2 1 0 -1 0 1 2 3 2 3 2 3 [19] 4 3 2 1 0 -1 0 1 2 3 4 3 2 3 2 3 2 1 [37] 0 1 0 1 0 1 0 -1 -2 -3 -2 -3 -4 -5 -4 -3 -4 -3 [55] -2 -1 -2 -1 -2 -1 0 1 0 -1 -2 -3 -4 -5 -6 -7 -6 -7 [73] -6 -7 -6 -5 -4 -5 -4 -3 -2 -1 0 1 2 1 2 1 2 1 [91] 0 1 0 -1 0 1 0 -1 0 -1 0 -1 0 1 2 1 0 -1 [109] -2 -3 -2 -3 -2 -3 -2 -1 -2 -3 -2 -3 -4 -3 -2 -3 -4 -5 [127] -4 -3 -4 -3 -2 -1 -2 -1 -2 -3 -2 -3 -2 -1 0 -1 0 1 [145] 2 1 0 -1 -2 -3 -4 -3 -4 -3 -2 -1 0 1 0 -1 0 -1 [163] 0 1 0 -1 0 -1 -2 -1 -2 -3 -4 -3 -4 -3 -4 -3 -4 -5 [181] -6 -5 -4 -5 -4 -5 -6 -5 -4 -3 -2 -1 -2 -1 -2 -3 -2 -3 [199] -2 -1 0 -1 0 -1 0 1 0 -1 -2 -1 0 1 0 1 2 1 [217] 2 1 2 3 2 1 2 1 0 -1 -2 -1 0 1 0 -1 -2 -1 [235] 0 1 0 -1 -2 -1 -2 -3 -4 -3 -2 -3 -4 -3 -2 -3 -2 -1 [253] 0 -1 -2 -3 -4 -5 -4 -5 -6 -7 -6 -5 -4 -3 -2 -3 -4 -5 [271] -4 -5 -4 -3 -2 -1 -2 -1 0 -1 0 -1 -2 -1 -2 -1 0 -1 [289] -2 -1 -2 -3 -2 -1 0 1 2 3 2 3 2 3 4 5 4 3 [307] 4 3 4 3 4 5 4 5 6 5 4 3 2 1 2 1 2 1 [325] 2 1 2 1 0 -1 0 1 2 1 0 -1 0 -1 0 1 0 -1 [343] 0 -1 0 -1 0 -1 0 1 0 -1 -2 -3 -4 -3 -4 -3 -2 -1 [361] -2 -3 -4 -3 -2 -3 -4 -3 -2 -3 -2 -3 -2 -1 -2 -3 -4 -5 [379] -6 -7 -8 -9 -8 -7 -6 -7 -6 -5 -6 -7 -6 -5 -4 -5 -6 -7 [397] -8 -7 -8 -7 -6 -7 -8 -7 -6 -5 -6 -7 -8 -7 -8 -7 -8 -9 [415] -10 -9 -8 -9 -8 -9 -8 -7 -8 -7 -8 -9 -8 -9 -8 -9 -8 -9 [433] -8 -9 -10 -9 -8 -9 -8 -9 -8 -9 -10 -11 -12 -11 -12 -11 -10 -11 [451] -12 -11 -12 -13 -12 -13 -14 -13 -12 -13 -12 -13 -14 -15 -16 -17 -16 -17 [469] -18 -17 -16 -17 -18 -19 -18 -19 -20 -21 -20 -19 -20 -19 -18 -17 -16 -17 [487] -16 -15 -14 -15 -14 -13 -12 -11 -10 -9 -10 -11 -12 -13 > x <- b > postscript(file="/var/www/html/rcomp/tmp/20z9c1228236351.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] 1.571598e+03 3.466387e+02 2.334399e+02 3.600340e+00 4.056196e+02 [6] 1.172302e+01 1.721765e+02 2.278464e+01 7.236791e+01 2.573857e+01 [11] 1.214089e+01 9.361049e-01 5.406365e+00 2.533879e+01 4.256123e+00 [16] 2.817588e+01 1.022440e+01 3.734750e+01 3.515314e+01 1.149462e+01 [21] 2.138140e+01 4.596528e+00 1.592659e+01 8.249743e+00 3.450565e+00 [26] 2.035615e+01 1.294931e+00 3.125070e+00 1.020569e+01 3.445759e-01 [31] 8.428280e-01 1.829813e+01 1.723007e+01 3.426281e+00 7.542824e+00 [36] 2.056329e+00 1.766695e+00 6.313267e-01 2.320327e+00 1.024383e+00 [41] 1.471511e+01 5.333920e+00 6.063377e-01 6.800959e+00 6.598426e-01 [46] 3.133902e+00 2.201400e+00 9.091108e-01 4.856142e+00 2.028127e+00 [51] 8.669022e-01 4.334588e+00 5.101698e-01 2.860108e+00 4.768060e+00 [56] 5.996855e-01 5.511692e+00 1.953470e+00 1.459903e+00 2.726524e-01 [61] 8.152458e-01 5.413122e-01 1.535210e-01 2.710273e-01 6.676290e-01 [66] 1.947513e+00 4.273415e+00 2.038330e+00 1.981532e+00 1.383368e-01 [71] 1.352275e+00 3.810996e-01 8.656151e-01 2.961199e+00 4.539772e-01 [76] 2.833590e-01 1.396468e+00 2.520525e-02 4.683784e-01 2.014624e-01 [81] 1.441495e-01 2.066034e+00 4.353905e+00 1.696827e-02 1.380061e+00 [86] 2.100010e-01 5.298099e-01 2.281581e+00 1.352021e+00 9.139337e-01 [91] 2.469068e-01 1.378211e-01 2.128606e-01 2.914772e-01 3.440143e-01 [96] 4.976252e-01 9.308626e-01 1.733861e-01 3.863138e-01 3.599500e-01 [101] 1.389511e+00 6.732579e-02 8.036734e-03 3.442824e+00 6.673569e-02 [106] 1.506005e-01 1.890108e+00 1.136259e+00 3.493933e-01 2.419157e-01 [111] 9.592270e-02 5.254676e-01 1.125183e+00 1.374484e-01 9.326806e-01 [116] 3.866377e-02 1.807221e-01 1.162642e-01 1.412949e+00 1.258801e-01 [121] 8.510083e-01 9.722011e-02 1.142481e+00 2.930617e-01 1.569405e+00 [126] 2.954507e-01 1.067560e-02 1.194683e+00 3.646549e-01 9.890611e-02 [131] 2.503936e-01 6.873884e-01 9.742866e-02 7.866254e-01 8.378232e-01 [136] 2.643109e-01 4.440986e-01 4.107728e-01 1.549230e-01 1.374174e-01 [141] 3.441224e-02 1.975314e-01 6.348737e-01 4.418840e-01 3.351405e-02 [146] 4.313008e-01 2.656564e-01 4.649876e-02 2.826082e-01 1.221103e-01 [151] 3.457293e-01 2.138224e-02 8.683720e-02 4.070538e-01 2.246350e-01 [156] 8.343234e-01 4.665630e-01 2.190247e-01 2.056064e-01 3.224643e-01 [161] 1.046313e+00 3.491774e-01 1.258640e-01 3.137466e-01 1.376467e+00 [166] 4.212804e-01 2.026414e+00 2.836937e-01 7.930486e-01 2.820770e-01 [171] 4.012363e-02 3.855672e-01 2.645206e-01 2.878551e-01 1.734151e-02 [176] 2.298985e-01 3.961835e-02 1.126302e+00 7.732968e-01 2.564982e-01 [181] 1.429122e-01 2.348920e-01 9.578325e-02 6.036105e-02 1.743313e-01 [186] 4.126498e-02 4.085447e-03 5.426317e-01 3.371612e-03 2.123971e-01 [191] 9.245863e-02 5.695428e-02 4.309513e-02 1.610726e-01 1.187243e-01 [196] 4.378384e-01 5.212588e-01 3.300748e-02 1.168725e-01 1.055721e-01 [201] 6.357869e-03 2.910498e-02 2.040656e-01 5.762405e-03 2.721556e-01 [206] 5.188509e-01 2.725249e-01 2.055925e-01 1.293733e+00 8.016685e-02 [211] 2.332712e-01 5.449241e-01 1.931687e-01 4.370074e-01 8.259822e-02 [216] 3.163865e-02 3.822390e-01 2.683329e-01 4.419751e-02 1.008057e-01 [221] 1.342928e-01 1.562815e-01 1.247356e+00 2.149388e-01 5.765876e-01 [226] 3.340879e-01 2.705240e-01 9.250797e-01 1.280169e-02 2.788766e-01 [231] 8.742135e-03 9.120570e-02 9.844608e-01 4.801749e-03 7.145037e-03 [236] 1.624302e-01 2.590151e-01 8.973133e-02 5.043922e-01 2.177096e-01 [241] 8.390575e-01 9.319513e-01 1.479444e-02 3.437240e-01 3.688495e-02 [246] 9.578231e-01 4.796365e-01 2.540898e-01 5.559874e-02 7.863848e-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/3nn1q1228236351.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/1o7711228236351.ps tmp/1o7711228236351.png") > system("convert tmp/20z9c1228236351.ps tmp/20z9c1228236351.png") > system("convert tmp/3nn1q1228236351.ps tmp/3nn1q1228236351.png") > > > proc.time() user system elapsed 0.768 0.583 1.007