R version 2.7.0 (2008-04-22) 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/1q7um1227970497.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 2 1 2 3 2 1 2 3 2 1 0 1 2 3 4 3 [19] 2 1 0 -1 -2 -1 -2 -3 -4 -3 -4 -5 -6 -5 -4 -3 -2 -1 [37] -2 -1 0 -1 -2 -3 -4 -5 -4 -5 -4 -3 -4 -3 -4 -3 -2 -1 [55] 0 -1 -2 -3 -2 -1 0 -1 0 -1 -2 -1 0 1 2 1 0 -1 [73] 0 1 2 3 2 1 2 3 4 3 4 3 4 3 4 3 4 3 [91] 4 5 6 7 6 7 8 7 8 9 10 11 10 11 12 11 10 11 [109] 10 11 10 9 10 9 8 9 8 9 10 9 8 9 8 7 8 9 [127] 8 7 6 7 8 9 10 11 12 11 12 13 14 15 14 13 14 13 [145] 14 13 12 11 12 11 10 9 8 9 10 9 8 9 10 9 8 9 [163] 10 9 8 7 8 9 8 9 8 9 8 9 8 9 10 11 12 11 [181] 10 11 10 11 12 13 12 11 10 9 10 9 10 11 12 13 12 13 [199] 12 11 10 9 8 9 10 11 12 11 12 13 12 13 12 13 12 11 [217] 10 11 12 11 10 11 10 9 10 9 8 9 10 9 8 9 10 9 [235] 10 11 10 9 8 7 6 5 6 7 8 7 6 7 8 9 10 11 [253] 12 13 12 13 12 11 10 9 8 9 10 9 10 11 10 11 10 11 [271] 10 9 10 9 10 11 10 9 8 9 10 9 10 9 10 11 12 13 [289] 14 15 14 15 16 15 14 13 12 11 10 9 8 7 8 9 8 7 [307] 6 5 6 7 6 7 6 5 6 5 6 5 4 3 4 5 6 5 [325] 4 5 4 5 4 5 4 3 4 5 4 5 6 5 4 3 4 3 [343] 4 5 6 7 6 5 6 5 6 5 4 5 6 5 4 3 2 3 [361] 4 5 6 5 4 3 4 3 4 3 2 3 2 1 0 1 0 1 [379] 0 -1 -2 -1 -2 -3 -4 -5 -6 -5 -4 -3 -4 -5 -4 -5 -6 -7 [397] -6 -5 -4 -3 -4 -3 -4 -3 -4 -5 -6 -7 -8 -9 -10 -9 -10 -9 [415] -8 -7 -8 -7 -6 -5 -6 -7 -8 -7 -6 -5 -4 -3 -4 -5 -4 -5 [433] -4 -3 -2 -1 -2 -1 0 -1 0 1 0 1 0 -1 -2 -1 0 1 [451] 0 1 2 3 2 3 2 1 2 1 2 1 0 -1 0 -1 -2 -3 [469] -4 -3 -4 -3 -2 -1 -2 -1 -2 -3 -4 -5 -4 -5 -6 -5 -6 -5 [487] -4 -3 -2 -1 0 1 2 1 2 3 4 3 4 3 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2y67q1227970497.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] 4.810205e+03 1.708966e+02 1.314051e+03 4.634125e+02 5.978499e+01 [6] 2.830686e+02 1.935509e+02 1.773562e+01 7.153509e+00 7.191667e+01 [11] 4.163055e+00 1.250896e+01 1.060709e+02 5.056733e+01 1.753799e+00 [16] 1.018621e+01 2.456900e+01 1.572410e+01 1.771811e+01 1.312299e+00 [21] 1.882576e+00 3.103197e-01 1.516704e+01 1.375102e+01 1.576421e+01 [26] 2.546693e+01 4.662576e+01 1.936124e+00 2.276521e+00 7.675944e+00 [31] 2.149907e+00 2.466147e+00 2.774829e-01 2.546876e+00 6.759643e+00 [36] 7.139575e+00 8.865559e+00 1.327960e+00 6.156080e+00 1.388831e+00 [41] 9.460365e+00 4.150595e-02 7.632654e+00 5.054288e+00 1.006332e-01 [46] 3.122938e-01 2.368428e+00 1.266420e-02 7.269376e-02 3.355687e+00 [51] 3.150855e+00 4.083636e+00 5.204390e-01 4.170153e+00 2.603935e+00 [56] 2.565904e+00 1.499128e+00 8.443295e-02 2.431051e+00 3.869343e+00 [61] 6.892072e-01 8.131175e-02 3.634397e+00 1.115957e+00 2.603394e-01 [66] 1.253930e+00 2.774078e-01 8.706669e+00 6.291703e-01 2.764766e+00 [71] 1.798484e+00 7.577588e-01 1.732533e+00 7.836948e-01 6.022320e-01 [76] 5.804433e+00 1.724926e+00 1.362315e+00 4.142339e-01 2.057489e+00 [81] 3.719050e-01 2.452476e-01 6.775067e-01 9.876986e-01 1.427878e+00 [86] 1.533726e-01 3.520282e+00 2.330488e-01 2.983432e-01 1.459382e+00 [91] 1.201742e+00 1.626494e-01 6.937828e-01 7.467518e-01 3.299836e-01 [96] 8.294238e-01 7.047093e-01 4.213369e-01 1.282419e-01 1.972424e+00 [101] 2.889418e-01 1.505113e-01 4.767485e-03 1.328707e-01 3.170378e-01 [106] 7.754169e-01 2.273945e+00 2.888563e-01 3.519727e-01 9.208916e-01 [111] 9.345916e-01 3.008412e-01 6.011946e-02 7.276825e-01 5.133976e-01 [116] 3.839326e-02 1.886441e-01 1.687114e+00 3.300489e-01 2.046463e-01 [121] 7.331253e-01 1.349000e+00 6.135211e-01 3.100190e-03 2.170001e-01 [126] 6.889614e-01 4.577963e-01 2.441334e-01 6.330490e-01 4.616823e-02 [131] 1.409638e-01 2.281867e-02 1.082408e+00 9.791340e-01 4.604373e-01 [136] 2.978417e-01 3.506185e-01 3.128041e-01 2.279149e-01 2.110459e-01 [141] 2.481775e-01 2.397529e-01 2.169101e-01 5.522531e-01 4.853886e-01 [146] 9.733314e-02 5.728833e-01 8.315363e-01 3.564014e-01 1.052833e+00 [151] 5.949055e-02 3.891812e-01 1.094485e-03 1.405456e-01 1.822286e-01 [156] 8.665607e-02 1.292814e-01 8.504697e-02 2.868359e-02 2.212621e-01 [161] 1.256734e-01 1.328048e-02 8.469665e-01 1.325194e-01 1.858782e-01 [166] 6.997736e-01 6.701413e-02 1.427000e+00 1.557643e-03 1.276280e-01 [171] 2.153303e-01 4.212710e-01 1.130417e-01 6.718759e-01 4.916812e-01 [176] 4.923429e-02 5.018410e-01 2.989383e-01 5.037570e-02 3.826056e-02 [181] 1.357312e+00 5.676549e-01 1.094460e-01 4.586623e-01 5.218881e-02 [186] 7.250630e-02 6.834206e-02 2.216023e-01 1.091258e+00 6.885776e-01 [191] 2.893621e-01 1.634746e-01 3.191880e-01 2.907891e-01 1.318478e-01 [196] 4.447904e-01 1.546242e-01 1.760824e-01 2.420810e-01 5.108147e-02 [201] 4.446322e-02 4.101983e-01 1.621373e-01 5.508894e-01 1.094723e-01 [206] 5.778703e-01 1.692300e-01 1.203191e-01 1.871635e-02 1.303932e-01 [211] 1.217490e-01 1.183965e-01 1.308111e+00 7.342922e-03 1.919908e-01 [216] 6.245429e-01 1.029926e-01 5.914067e-01 1.734684e-01 7.388645e-02 [221] 1.813402e-02 2.637843e-01 3.634718e-01 5.299128e-02 4.689766e-01 [226] 7.905816e-02 2.031612e-01 2.765711e-01 3.330455e-01 7.092309e-01 [231] 3.081899e-02 1.459385e-01 2.494694e-01 2.722995e-01 1.191148e-01 [236] 6.715519e-02 7.371301e-01 1.946315e-01 1.067427e-01 3.568690e-01 [241] 2.817768e-01 8.013882e-02 7.422401e-01 1.351322e-01 2.129046e-01 [246] 1.477770e-01 2.384123e-02 6.840547e-01 1.000651e-01 2.655604e-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/3cv3p1227970497.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/1q7um1227970497.ps tmp/1q7um1227970497.png") > system("convert tmp/2y67q1227970497.ps tmp/2y67q1227970497.png") > system("convert tmp/3cv3p1227970497.ps tmp/3cv3p1227970497.png") > > > proc.time() user system elapsed 3.265 1.764 3.477