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/freestat/rcomp/tmp/1as1f1228233453.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 -2 -1 0 -1 -2 -1 -2 -3 -2 -1 [19] -2 -3 -4 -3 -2 -1 -2 -3 -2 -3 -2 -3 -2 -1 -2 -3 -4 -5 [37] -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 4 5 4 5 4 5 [55] 6 7 8 7 6 5 6 5 6 5 4 5 6 7 6 5 6 5 [73] 4 3 4 3 4 3 2 3 2 1 2 3 4 3 2 1 0 -1 [91] 0 -1 0 1 2 3 2 3 4 5 4 3 4 3 2 1 0 1 [109] 2 3 4 5 4 5 6 5 4 3 4 3 2 1 0 1 0 -1 [127] -2 -1 -2 -3 -2 -3 -2 -1 -2 -3 -2 -3 -4 -5 -4 -3 -2 -1 [145] 0 1 0 -1 -2 -1 0 1 0 -1 0 -1 0 -1 0 -1 -2 -3 [163] -2 -1 -2 -3 -2 -3 -2 -3 -2 -3 -2 -1 -2 -3 -2 -1 -2 -3 [181] -2 -1 -2 -3 -4 -5 -4 -3 -4 -5 -6 -5 -6 -7 -6 -5 -4 -5 [199] -6 -5 -6 -5 -4 -5 -4 -5 -4 -3 -2 -1 0 -1 -2 -1 0 1 [217] 0 1 0 -1 -2 -1 0 -1 -2 -1 -2 -1 -2 -3 -4 -3 -2 -3 [235] -2 -3 -4 -3 -2 -3 -2 -3 -4 -5 -4 -5 -4 -5 -4 -3 -2 -1 [253] 0 1 2 3 2 1 0 -1 0 1 2 1 0 1 2 3 2 1 [271] 0 -1 -2 -1 -2 -1 0 1 0 1 0 -1 -2 -1 0 -1 0 1 [289] 0 1 0 1 2 1 2 3 4 5 4 3 4 5 6 7 6 7 [307] 6 7 6 7 8 9 8 7 8 9 8 9 8 9 10 11 10 11 [325] 10 11 12 11 10 11 12 13 12 11 10 9 8 9 10 9 8 7 [343] 6 5 4 3 4 5 6 7 8 7 6 5 4 3 4 3 2 1 [361] 2 1 0 -1 0 1 0 1 2 1 0 -1 0 -1 -2 -3 -4 -3 [379] -2 -3 -2 -3 -4 -5 -4 -3 -2 -3 -4 -5 -6 -7 -8 -7 -8 -9 [397] -8 -9 -8 -7 -6 -7 -6 -5 -6 -5 -4 -3 -2 -3 -4 -3 -2 -1 [415] -2 -3 -4 -5 -4 -3 -4 -3 -4 -5 -6 -7 -8 -9 -8 -7 -8 -9 [433] -8 -7 -8 -9 -10 -9 -10 -11 -10 -9 -10 -9 -10 -9 -8 -7 -8 -9 [451] -10 -11 -10 -9 -8 -7 -8 -9 -10 -9 -10 -9 -10 -9 -10 -9 -10 -9 [469] -10 -9 -8 -9 -8 -9 -10 -11 -10 -11 -12 -13 -14 -13 -14 -15 -14 -15 [487] -16 -17 -16 -17 -16 -15 -16 -15 -16 -17 -16 -17 -18 -19 > x <- b > postscript(file="/var/www/html/freestat/rcomp/tmp/25dvy1228233453.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] 1.265713e+03 2.724940e+03 2.533658e+02 3.086183e+02 6.626149e+01 [6] 2.653888e+02 6.829514e+01 1.767602e+01 7.728964e+01 2.938809e+02 [11] 1.519055e+01 1.328473e+01 6.588094e+01 1.268184e+01 3.383180e+01 [16] 3.545892e+00 2.724620e+01 8.859583e+00 1.152614e+01 4.770620e+00 [21] 1.046902e+01 5.395609e+00 1.112307e+00 4.805782e+00 6.300517e+00 [26] 1.252401e+01 1.966080e-01 1.071303e+01 1.205339e+01 1.094298e+01 [31] 7.093197e+00 4.249183e+00 5.454634e+00 3.316244e+00 6.298226e+00 [36] 1.767546e+01 1.553362e-01 2.802064e+00 6.414802e+00 7.749410e-01 [41] 6.326058e+00 6.208875e+00 6.618837e-02 2.572044e-01 8.966678e+00 [46] 1.173705e+00 9.381237e-01 2.863345e+00 5.029910e+00 7.646872e-02 [51] 1.900423e+00 1.820733e-01 6.759131e+00 2.785890e-01 3.604776e+00 [56] 6.843289e+00 3.504766e+00 1.501590e+00 3.423185e+00 3.216231e-01 [61] 1.475590e+00 8.621920e-01 1.823508e+00 2.142281e-01 3.986119e+00 [66] 1.091269e+00 1.631112e+00 4.312491e+00 1.510498e+00 2.798355e-01 [71] 1.546734e+00 3.666198e+00 3.854111e+00 1.598776e+00 7.550632e-01 [76] 2.298781e+00 2.860061e-01 2.047226e+00 8.020003e-01 4.874435e-03 [81] 5.117653e-01 4.498207e-02 9.230215e-01 3.900597e-01 3.636369e+00 [86] 3.926331e+00 1.240360e+00 9.436137e-01 1.398585e-01 5.241976e-01 [91] 2.775426e-01 9.034230e-01 2.482723e-01 5.396772e-01 5.627847e-01 [96] 1.505990e-01 1.007547e+00 1.546100e-01 5.220977e-01 7.061550e-01 [101] 6.337221e-01 2.049394e+00 5.220133e-01 1.570423e+00 3.792834e-01 [106] 7.743347e-01 5.353153e-02 1.881464e+00 1.259172e+00 5.704072e-01 [111] 5.244695e-01 2.195851e+00 1.616521e+00 3.679160e-01 3.079662e-01 [116] 1.691644e+00 1.043707e+00 7.787482e-01 1.214303e-01 1.007522e-02 [121] 1.643195e-01 4.259984e-02 5.083329e-01 6.227614e-01 3.315149e-01 [126] 8.619346e-01 3.753782e-01 2.123796e-02 5.342258e-01 1.211920e+00 [131] 2.797209e-01 1.234156e-01 3.931740e-01 2.705030e-01 7.915350e-01 [136] 5.086878e-01 1.308016e+00 1.767932e-01 5.067091e-01 2.222503e-01 [141] 4.800493e-01 5.521424e-02 1.774634e-01 1.522000e-01 1.743127e-01 [146] 4.079948e-01 4.373694e-01 3.186800e-02 3.892613e-01 5.546181e-01 [151] 4.257198e-02 3.137435e-01 1.067769e-02 2.254024e-01 4.634571e-01 [156] 5.088079e-02 1.375228e-01 9.255200e-01 3.375905e-01 1.862996e-01 [161] 3.503258e-01 1.691704e-05 9.685738e-01 1.344954e-01 2.322636e-01 [166] 6.905424e-02 2.967451e-01 5.258092e-01 2.056194e-01 3.190115e-01 [171] 1.734994e-01 5.518770e-02 1.157315e-02 5.028329e-01 4.196060e-03 [176] 3.413376e-01 4.232238e-01 2.263180e-01 8.253505e-02 1.117267e-01 [181] 1.317901e-01 3.932223e-01 1.837995e-01 7.406468e-02 5.062891e-01 [186] 1.725132e-01 1.777282e-01 3.249286e-01 1.209974e-01 1.820648e-01 [191] 1.590712e-01 8.135425e-02 7.560463e-01 2.300381e-01 4.893602e-02 [196] 8.605078e-01 1.268974e-01 5.710351e-01 1.974153e-01 3.581465e-02 [201] 5.519618e-02 7.514858e-02 3.764898e-02 4.766400e-02 1.864693e-01 [206] 9.319241e-02 4.778165e-02 2.272015e-02 2.910471e-02 1.883327e-01 [211] 9.603837e-01 3.240637e-01 4.958370e-01 4.095330e-02 6.882439e-01 [216] 6.016402e-01 1.604091e-01 2.683901e-01 5.379405e-01 5.866663e-02 [221] 2.077824e-01 3.647138e-01 3.855530e-01 4.773835e-02 1.052975e-01 [226] 9.186343e-02 1.107397e-02 3.438561e-01 1.845432e-01 8.214866e-02 [231] 4.506090e-01 4.191081e-02 1.214091e-01 6.534439e-02 1.341946e-01 [236] 2.108502e-01 1.822655e-01 1.857825e-01 9.402668e-01 8.544370e-02 [241] 2.244956e-01 5.178615e-02 1.213919e-01 4.776143e-01 5.101525e-01 [246] 5.919961e-01 6.239423e-01 4.112875e-01 3.040842e-01 2.874140e-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/freestat/rcomp/tmp/3i9j11228233453.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/1as1f1228233453.ps tmp/1as1f1228233453.png") > system("convert tmp/25dvy1228233453.ps tmp/25dvy1228233453.png") > system("convert tmp/3i9j11228233453.ps tmp/3i9j11228233453.png") > > > proc.time() user system elapsed 1.076 0.753 1.193