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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/1kpsy1228740632.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 3 2 1 0 -1 0 1 2 1 0 -1 0 1 2 1 2 1 2 1 2 3 4 [26] 3 2 3 2 3 2 1 0 1 2 1 0 1 2 3 2 1 2 3 4 3 4 3 4 5 [51] 4 3 4 3 2 1 2 1 2 3 2 1 0 1 2 3 4 5 4 3 4 3 4 5 4 [76] 3 4 3 2 1 2 3 4 5 6 7 8 9 8 7 8 9 10 11 10 9 10 9 8 7 [101] 8 7 8 7 8 9 10 11 10 11 12 13 12 11 12 11 12 13 12 11 12 13 14 13 14 [126] 15 14 13 12 11 12 13 14 15 16 17 16 17 16 15 14 13 12 11 12 11 12 13 14 15 [151] 14 13 14 13 12 13 14 15 14 15 16 15 14 15 14 15 16 17 18 17 16 15 14 13 14 [176] 13 12 13 14 15 16 15 14 15 14 13 12 11 12 11 10 11 10 9 8 9 10 9 10 11 [201] 10 11 10 11 12 11 10 11 12 13 14 15 14 15 14 13 12 11 12 11 12 13 14 13 14 [226] 13 14 15 16 17 18 19 20 21 22 23 24 23 24 25 26 27 28 27 28 27 28 29 28 29 [251] 30 29 30 31 32 31 30 29 30 31 32 31 30 31 32 33 34 33 32 33 32 31 30 31 32 [276] 31 30 31 30 31 32 33 32 33 34 35 34 33 34 35 36 35 34 35 34 33 32 31 32 33 [301] 34 35 36 35 36 35 36 37 38 39 38 39 40 41 40 39 38 39 40 41 40 39 38 39 40 [326] 41 40 41 40 39 38 37 38 39 38 37 36 37 38 37 38 37 36 35 34 35 34 35 36 37 [351] 36 35 36 35 36 37 38 39 40 39 38 39 40 39 38 37 38 37 38 39 38 39 38 37 36 [376] 37 38 39 40 39 38 37 36 35 36 35 34 33 32 33 34 33 34 35 34 33 34 35 34 35 [401] 34 33 32 33 32 33 32 31 32 33 34 33 34 33 34 33 34 33 34 35 36 35 34 33 34 [426] 33 32 33 34 35 36 35 34 35 36 37 36 37 38 39 40 41 40 39 38 39 40 39 40 41 [451] 42 43 44 43 42 41 42 43 42 43 42 41 42 41 40 41 42 43 44 45 46 47 48 47 46 [476] 45 46 45 46 47 46 45 46 47 48 49 50 51 52 53 54 53 52 53 54 55 54 55 54 53 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2y6uc1228740632.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] 7.110133e+02 2.473253e+03 1.280165e+03 3.923576e+02 2.007391e+02 [6] 2.350666e+01 2.144998e+02 8.657915e+01 2.423197e+01 6.244468e+00 [11] 1.127515e+01 2.572723e+01 6.790183e+01 6.719455e+00 5.541901e+00 [16] 1.105290e+00 6.820980e+00 2.516682e+00 1.373688e+01 1.804194e+01 [21] 4.247701e+01 5.484352e+00 2.739989e+01 3.515067e+00 7.243869e+00 [26] 1.656915e+01 1.585435e+01 8.681230e+00 1.291496e-01 3.232012e+00 [31] 8.264674e+00 1.554204e+00 1.169787e+01 3.618138e+00 1.251542e+01 [36] 1.535350e+00 8.248228e-01 1.087744e+00 6.753401e+00 1.674672e+00 [41] 2.718614e+00 4.694630e+00 7.203603e-01 3.121747e+00 4.663501e+00 [46] 6.745978e+00 4.712855e+00 1.551797e+01 1.543553e+00 6.129462e+00 [51] 7.299174e+00 4.200710e-01 3.049859e+00 4.678993e-01 4.804340e+00 [56] 5.593791e-01 6.865963e-01 1.992569e+00 7.146177e-01 3.802596e+00 [61] 6.949091e-01 1.882308e+00 1.877211e+00 3.572692e-01 3.142412e-01 [66] 8.453658e-01 2.416345e+00 2.016573e+00 6.564632e+00 5.436509e-01 [71] 9.545322e-01 1.493895e+00 6.558581e-02 9.451586e-01 1.607763e+00 [76] 1.077066e+00 3.013346e+00 7.363142e-01 7.716159e-01 1.137728e+00 [81] 5.894226e-01 2.940296e+00 1.901382e+00 4.239199e-01 1.148213e-02 [86] 9.975685e-01 2.737383e-01 4.798896e-01 2.183518e-01 2.152148e-01 [91] 1.455598e+00 1.517090e-01 2.508428e+00 1.127637e+00 3.860654e-02 [96] 1.719687e+00 2.860354e+00 1.532033e-01 8.785998e-01 1.312508e+00 [101] 1.513771e+00 2.334622e+00 8.858545e-01 5.974460e+00 4.672349e-01 [106] 2.372138e-01 3.792744e-01 1.135172e-02 7.228449e-02 2.377266e-01 [111] 4.928980e-01 3.114522e-01 9.487743e-02 1.164109e+00 5.662722e-03 [116] 6.649800e-01 6.081691e-01 2.140074e-01 2.639142e-01 1.296195e-01 [121] 2.079528e-01 3.111221e-01 6.154840e-02 6.248183e-01 6.868258e-01 [126] 3.118106e-01 1.083132e+00 6.716500e-01 6.340741e-01 6.711538e-02 [131] 5.278582e-01 5.507553e-02 2.541445e-01 3.678123e-01 3.004798e-01 [136] 5.569479e-01 3.990119e-03 1.686300e-01 5.500634e-01 1.130392e+00 [141] 1.441521e-01 1.770983e-01 2.741399e-01 1.369120e+00 1.107730e+00 [146] 1.117332e-01 9.405042e-01 1.855227e-01 9.391542e-01 2.778414e-01 [151] 5.819755e-02 6.949534e-02 2.280062e-01 2.601196e-01 1.681624e-01 [156] 4.424826e-02 2.287313e-01 5.419222e-01 1.730717e-01 7.945330e-01 [161] 2.100137e-01 5.540861e-02 2.475313e-02 8.508837e-01 7.197484e-02 [166] 5.100254e-02 2.663895e-01 2.882248e-01 2.910690e-01 1.024270e-01 [171] 1.340603e-01 1.107165e+00 1.329870e-01 9.514631e-02 9.077862e-02 [176] 1.487055e-01 2.112261e-01 7.373176e-02 3.711435e-01 8.695227e-01 [181] 5.676124e-01 2.297859e-01 8.733667e-02 6.196613e-01 1.860880e-01 [186] 7.121126e-01 2.472547e-01 5.268353e-02 2.198655e-01 1.894166e-01 [191] 1.532335e-01 5.867018e-02 2.008557e-01 5.774585e-01 2.612211e-01 [196] 1.624673e-01 4.685032e-01 2.820222e-01 3.187573e-02 1.099000e-01 [201] 7.401046e-02 9.988962e-02 7.903717e-02 2.884730e-01 3.290266e-01 [206] 1.643823e-01 8.954807e-02 3.232881e-01 2.223179e-01 1.674547e-01 [211] 9.470669e-02 1.982235e-01 2.563111e-01 2.491010e-01 2.906003e-02 [216] 2.815546e-01 2.836354e-03 6.058120e-01 2.002931e-01 1.092329e-01 [221] 1.806341e-01 6.853717e-02 1.971539e-01 7.217984e-02 3.790485e-02 [226] 1.280711e-01 6.207490e-02 3.968369e-02 5.976867e-01 2.919229e-01 [231] 7.097588e-01 2.303789e-01 2.613395e-01 4.107915e-01 3.762431e-01 [236] 8.295890e-02 3.591083e-01 4.759557e-01 5.156149e-02 6.511058e-02 [241] 1.909233e-01 6.519076e-01 2.519844e-02 8.326068e-02 6.376024e-02 [246] 1.399977e-01 4.477762e-01 1.320764e-04 1.423247e-01 2.638971e-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/3h6of1228740632.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/1kpsy1228740632.ps tmp/1kpsy1228740632.png") > system("convert tmp/2y6uc1228740632.ps tmp/2y6uc1228740632.png") > system("convert tmp/3h6of1228740632.ps tmp/3h6of1228740632.png") > > > proc.time() user system elapsed 0.794 0.601 0.970