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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/168dh1228239628.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 2 1 2 1 0 1 0 1 2 1 2 1 [19] 2 1 2 1 0 -1 -2 -3 -2 -1 0 1 0 -1 -2 -1 -2 -3 [37] -2 -3 -4 -3 -2 -1 0 1 2 3 4 5 4 3 4 3 4 3 [55] 4 3 2 3 4 3 4 3 2 3 2 1 0 -1 0 1 2 3 [73] 4 3 2 3 4 5 4 5 4 5 4 5 4 5 4 3 2 1 [91] 0 1 2 3 4 3 2 1 2 3 2 1 2 1 2 3 4 3 [109] 4 5 6 5 6 5 6 7 6 5 6 7 6 7 8 7 6 5 [127] 4 3 2 1 2 3 2 1 0 1 2 3 4 3 4 3 4 5 [145] 4 5 4 5 6 5 4 3 4 3 2 3 4 3 4 3 2 1 [163] 0 1 0 -1 0 -1 0 -1 -2 -3 -4 -3 -2 -3 -2 -3 -2 -3 [181] -2 -3 -2 -3 -4 -5 -4 -3 -4 -3 -4 -3 -2 -1 0 -1 -2 -1 [199] -2 -3 -2 -3 -2 -1 -2 -1 0 -1 -2 -3 -2 -3 -4 -5 -4 -5 [217] -4 -5 -4 -5 -4 -3 -2 -3 -4 -5 -4 -5 -4 -3 -4 -5 -6 -5 [235] -6 -7 -8 -9 -8 -7 -6 -7 -8 -9 -10 -11 -12 -13 -14 -13 -12 -11 [253] -12 -11 -10 -11 -10 -11 -10 -9 -8 -9 -10 -11 -12 -13 -14 -15 -14 -13 [271] -14 -13 -12 -13 -14 -15 -16 -15 -16 -15 -16 -15 -16 -17 -18 -19 -20 -19 [289] -20 -21 -22 -23 -22 -21 -20 -19 -18 -19 -20 -19 -18 -19 -18 -17 -16 -15 [307] -16 -17 -16 -17 -18 -19 -20 -19 -18 -19 -18 -19 -18 -19 -18 -17 -18 -17 [325] -16 -17 -16 -15 -14 -13 -14 -13 -12 -13 -14 -15 -14 -15 -16 -15 -14 -15 [343] -16 -15 -16 -15 -14 -15 -14 -13 -12 -11 -12 -13 -14 -13 -14 -15 -16 -17 [361] -18 -19 -18 -19 -20 -19 -18 -17 -16 -15 -14 -15 -14 -15 -16 -17 -16 -17 [379] -16 -15 -14 -13 -12 -13 -14 -13 -12 -13 -12 -11 -12 -13 -14 -15 -14 -15 [397] -16 -17 -18 -19 -20 -19 -20 -21 -20 -19 -20 -21 -22 -21 -22 -23 -22 -21 [415] -22 -23 -22 -21 -20 -19 -20 -21 -20 -19 -20 -21 -20 -21 -22 -23 -22 -21 [433] -20 -19 -18 -19 -18 -19 -20 -19 -20 -21 -20 -19 -18 -19 -18 -19 -20 -21 [451] -22 -21 -22 -23 -24 -23 -24 -25 -24 -25 -24 -23 -24 -25 -24 -23 -22 -23 [469] -24 -23 -22 -21 -20 -21 -22 -23 -22 -21 -20 -21 -20 -21 -20 -19 -20 -21 [487] -20 -19 -18 -17 -16 -17 -18 -19 -18 -19 -20 -21 -22 -23 > x <- b > postscript(file="/var/www/html/freestat/rcomp/tmp/2pv0i1228239628.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] 8.380973e+02 1.324263e+03 5.506500e+01 4.661801e+02 1.717129e+01 [6] 2.922850e+01 2.128438e+01 8.595679e+01 1.395360e+02 3.322148e+00 [11] 6.386705e+01 4.469998e+01 8.160463e+01 5.835665e+01 2.764734e+01 [16] 3.170462e+01 2.096553e+01 2.595052e+01 1.603676e+01 1.879462e+01 [21] 1.512459e+01 3.998550e+01 3.959438e+00 8.932077e+00 4.650129e-01 [26] 1.594017e+01 6.251982e+00 1.407668e+01 2.636130e+00 1.660612e+00 [31] 3.014185e+01 6.072211e-01 1.918666e+00 4.316100e+00 6.522910e-01 [36] 1.677394e+00 1.275780e+01 6.060457e-01 3.257045e+00 2.123585e+01 [41] 2.188039e+00 6.298364e-01 3.038439e+00 1.594267e+00 3.612460e+00 [46] 4.564613e+00 9.850893e+00 7.291295e-01 1.002713e+00 2.206668e+00 [51] 7.128082e-01 1.769835e+00 3.831700e-01 1.150606e+01 3.479195e+00 [56] 1.709248e-01 1.250970e+00 1.879502e+00 2.637232e-01 2.487901e+00 [61] 9.405728e-01 4.004959e-01 9.758423e-01 1.974565e+00 1.762376e-01 [66] 1.934192e+00 8.240280e-01 1.085698e+00 2.488347e+00 1.189429e+00 [71] 2.061499e-01 7.982147e-01 6.508688e-01 9.647861e-01 3.652966e-01 [76] 1.608862e+00 2.302771e-01 2.265063e+00 7.724388e-01 3.900616e-01 [81] 5.476236e-02 3.804959e+00 1.481124e-01 1.329780e-01 1.538724e+00 [86] 2.282279e+00 3.340613e-01 3.303854e-01 2.186571e+00 1.489739e+00 [91] 9.677795e-01 7.341326e-01 2.171035e+00 6.103120e-01 4.971256e-01 [96] 7.821107e-01 2.122112e-01 3.917533e-01 6.959949e-01 7.156570e-03 [101] 1.013834e-02 2.057774e-01 5.095328e-01 1.504452e+00 1.307665e-01 [106] 9.951984e-01 6.108477e-01 4.562347e-01 1.925868e-01 1.530262e+00 [111] 6.710391e-01 1.254035e+00 3.633063e-02 1.601228e-01 4.923841e-02 [116] 5.838828e-02 1.491706e+00 5.901913e-01 1.881572e-01 1.331777e+00 [121] 9.083684e-02 1.248430e+00 5.274662e-01 2.909885e-01 2.383331e-02 [126] 3.091024e-01 1.038419e+00 6.546478e-01 7.619879e-01 3.156278e-01 [131] 1.281020e+00 2.799363e-01 2.413191e-01 5.639265e-02 4.618299e-01 [136] 3.514499e-01 6.246669e-01 4.101696e-01 4.387315e-01 5.840343e-01 [141] 1.947800e-01 1.028557e+00 4.365536e-02 8.741422e-02 1.619528e-01 [146] 7.068582e-01 1.036854e-01 1.174907e+00 5.890008e-02 1.233887e+00 [151] 1.510988e-01 3.970432e-01 5.283395e-01 6.250180e-01 1.852938e-01 [156] 4.197211e-01 3.980824e-01 1.244980e-02 3.242456e-01 1.286462e-01 [161] 4.030759e-01 8.879000e-02 1.644517e+00 1.158646e-01 4.459546e-01 [166] 3.902336e-01 5.749628e-01 3.294877e-02 2.488712e-02 6.506596e-02 [171] 2.773400e-01 5.586952e-02 1.488372e-02 3.368404e-02 3.220006e-01 [176] 1.826458e-01 1.161709e-02 2.380633e-01 1.812469e-01 2.337845e-01 [181] 2.438335e-01 5.104336e-01 7.028720e-02 2.272921e-01 9.649546e-02 [186] 7.862725e-01 9.942561e-02 6.436880e-02 5.220379e-01 9.421047e-01 [191] 2.774665e-01 7.029149e-02 1.357989e+00 1.326083e+00 8.109279e-02 [196] 1.341863e-02 1.870042e-01 1.570315e-01 4.408565e-01 3.443895e-01 [201] 6.847065e-02 1.302347e-02 2.856022e-01 1.171740e-01 5.477099e-01 [206] 1.471469e-02 7.168728e-02 6.365025e-02 2.202273e-01 2.808677e-02 [211] 2.734758e-01 2.003760e-01 6.820620e-05 4.437113e-01 5.231657e-02 [216] 7.866392e-01 2.024971e-01 3.682969e-01 9.427755e-02 6.703438e-02 [221] 7.095180e-02 2.950543e-01 3.539508e-01 7.796034e-02 3.094006e-01 [226] 1.825046e-01 3.423102e-01 4.709905e-02 4.454924e-02 5.629454e-02 [231] 1.862761e-01 1.731770e-01 6.502685e-03 1.408993e-02 1.343943e-02 [236] 6.967743e-02 6.164067e-01 8.682961e-01 9.969909e-02 5.576202e-01 [241] 8.933405e-01 5.394369e-01 2.879848e-01 1.580441e-01 1.195737e-01 [246] 3.127043e-02 1.642561e-01 2.507675e-01 6.521153e-02 1.172304e+00 $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/3v6zu1228239628.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/168dh1228239628.ps tmp/168dh1228239628.png") > system("convert tmp/2pv0i1228239628.ps tmp/2pv0i1228239628.png") > system("convert tmp/3v6zu1228239628.ps tmp/3v6zu1228239628.png") > > > proc.time() user system elapsed 1.052 0.730 1.257