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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/1ljds1228137529.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 3 4 5 4 5 6 5 4 5 6 7 6 7 [19] 8 7 8 9 10 9 8 9 8 7 6 7 6 5 6 5 6 5 [37] 4 5 6 7 6 7 6 7 6 5 6 5 6 7 6 7 6 7 [55] 6 7 8 7 6 7 8 9 10 9 10 9 8 9 10 11 10 9 [73] 10 9 10 11 10 11 10 11 10 9 10 11 12 11 12 11 10 9 [91] 10 11 10 9 8 9 10 9 10 9 8 7 6 7 6 7 8 9 [109] 10 9 8 7 6 5 6 7 8 7 6 7 6 5 6 7 8 9 [127] 8 9 8 9 8 7 6 7 6 7 6 5 6 7 6 5 4 3 [145] 2 3 2 3 4 3 2 3 2 1 2 3 2 1 0 1 0 1 [163] 2 3 2 1 2 1 2 3 4 3 4 3 2 3 4 5 4 3 [181] 4 3 2 3 2 3 2 1 0 1 0 -1 -2 -3 -2 -3 -4 -3 [199] -2 -3 -2 -1 0 1 2 1 0 1 2 1 2 3 2 3 2 3 [217] 4 3 2 1 2 3 4 5 6 5 4 3 2 1 0 1 2 3 [235] 2 1 2 1 0 1 0 -1 0 -1 -2 -1 -2 -1 0 -1 0 1 [253] 0 1 0 -1 -2 -3 -4 -5 -4 -3 -2 -3 -4 -3 -2 -1 0 1 [271] 2 3 4 5 4 3 2 3 4 5 6 7 8 9 10 11 10 9 [289] 10 11 12 11 12 11 12 13 14 13 12 11 10 9 8 7 8 7 [307] 8 7 8 7 8 7 8 9 10 9 10 11 10 11 12 13 14 15 [325] 14 13 14 13 14 15 14 15 14 15 14 13 14 13 12 11 12 11 [343] 10 9 8 7 6 5 6 5 4 3 2 1 2 1 0 1 2 1 [361] 0 -1 0 1 2 1 2 3 2 3 2 1 0 1 0 1 2 1 [379] 0 -1 0 1 0 1 0 -1 0 1 2 1 2 3 2 3 2 1 [397] 2 1 0 1 2 3 4 3 2 1 0 -1 -2 -3 -4 -3 -4 -5 [415] -6 -5 -6 -5 -4 -5 -6 -7 -8 -9 -8 -9 -8 -7 -6 -7 -6 -5 [433] -6 -5 -6 -7 -8 -7 -8 -9 -8 -7 -6 -5 -6 -7 -6 -5 -6 -7 [451] -6 -5 -6 -7 -8 -9 -8 -9 -10 -9 -10 -9 -8 -9 -10 -9 -10 -11 [469] -12 -13 -12 -11 -12 -13 -14 -15 -16 -17 -18 -17 -16 -17 -18 -19 -20 -19 [487] -18 -17 -18 -17 -16 -15 -16 -15 -14 -15 -14 -13 -14 -13 > x <- b > postscript(file="/var/www/html/freestat/rcomp/tmp/2f8lx1228137529.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] 1.465662e+03 2.937427e+03 2.827705e+02 1.293653e+02 4.338499e+02 [6] 1.335296e+02 2.604527e+01 7.551481e+01 3.783472e+02 1.582090e+02 [11] 3.239389e+00 4.629646e+01 1.380293e+02 2.615845e+01 4.114325e+00 [16] 1.399583e+01 2.949986e-01 4.313442e+00 3.839910e+00 4.522823e+00 [21] 1.290765e+01 1.837428e+01 4.939067e+00 3.828689e+00 8.137842e+00 [26] 1.284970e+00 6.052730e-01 4.031968e+00 1.180367e-01 4.918567e+00 [31] 1.188896e+01 6.442107e-01 9.086728e+00 8.253402e+00 1.299913e+00 [36] 6.542143e+00 7.688450e+00 2.664488e+00 1.961882e+00 4.136000e-01 [41] 7.955363e+00 1.036394e+01 2.541570e+00 4.074909e-01 2.249092e+00 [46] 4.502779e+00 1.212960e+00 8.210357e+00 3.132404e-01 1.180733e+00 [51] 5.727857e+00 5.904403e+00 8.473055e-01 6.774503e-01 2.131766e+00 [56] 3.506940e+00 3.185731e+00 4.439834e+00 6.796347e-01 1.069711e+00 [61] 9.118866e-01 2.613092e-02 3.392550e+00 4.298304e+00 3.010460e+00 [66] 4.962740e+00 1.177949e+00 2.765009e-01 1.970102e-01 1.765667e+00 [71] 1.764019e+00 7.755831e-01 1.199802e+00 7.872123e-02 2.811751e+00 [76] 5.501253e-01 2.166001e-01 6.132004e-01 6.785381e-01 2.473656e-01 [81] 1.368669e+00 3.834379e-01 1.777720e+00 4.308122e-01 5.212288e-01 [86] 1.447986e+00 1.012737e+00 2.216493e+00 2.395188e-01 5.326076e-01 [91] 3.978271e-01 9.441060e-02 9.650945e-01 7.759316e-01 2.450643e-01 [96] 1.469684e-01 1.080511e-01 8.660234e-01 3.938288e-01 3.453437e-01 [101] 1.300406e+00 8.625158e-01 1.471092e+00 6.717136e-02 5.297229e-01 [106] 2.109450e-03 1.784562e+00 4.768720e-01 1.808013e+00 8.320318e-02 [111] 1.424278e-01 5.822006e-01 1.234178e+00 1.636104e-01 4.499710e-01 [116] 1.605351e+00 4.026665e-01 1.836852e-01 6.205930e-01 2.836606e-02 [121] 6.188649e-02 7.025560e-02 3.988379e-01 1.188917e+00 3.418643e-01 [126] 1.733888e-01 1.052465e+00 8.692240e-01 4.977192e-01 6.834851e-02 [131] 7.496496e-01 4.506290e-01 1.942261e-02 4.058581e-01 3.832304e-01 [136] 2.207630e-01 6.373680e-02 4.877381e-01 1.588848e-02 8.291311e-01 [141] 1.605452e-02 1.174580e+00 5.211966e-01 1.198593e-01 2.582864e-01 [146] 1.518643e-01 3.243221e-01 4.375274e-01 8.239399e-01 9.698960e-02 [151] 4.932691e-01 1.391345e-01 4.010356e-02 4.273596e-01 2.565865e-02 [156] 2.952948e-01 1.065984e+00 2.052608e-01 1.826872e+00 2.060778e-01 [161] 1.193173e+00 1.679050e-02 5.982147e-01 2.387120e-01 1.000167e-01 [166] 9.770935e-02 3.188584e-01 4.364993e-01 1.480277e+00 3.809679e-01 [171] 2.341029e-01 9.358118e-01 2.170183e-01 6.925213e-02 3.686135e-01 [176] 9.745438e-02 8.682565e-02 2.619957e-01 6.831676e-01 1.592324e-01 [181] 1.014000e-01 2.501314e-01 5.373914e-02 1.470595e-01 6.391322e-01 [186] 1.573455e-01 2.032909e-01 7.196404e-01 4.041666e-02 4.893991e-01 [191] 1.455107e+00 1.568929e-01 1.492823e-01 2.596251e-01 2.242577e-01 [196] 2.433107e-02 2.331765e-02 2.606243e-02 4.839995e-01 2.409711e-01 [201] 1.657892e-03 3.777586e-01 1.238514e-01 1.769544e-01 1.868352e-02 [206] 1.676187e-01 3.305088e-01 2.625064e-02 8.485453e-01 1.694081e-01 [211] 3.518905e-01 1.567131e+00 4.271741e-01 4.009694e-01 1.845729e-01 [216] 1.229141e-01 1.351644e-01 7.429006e-02 2.926210e-01 6.772182e-02 [221] 4.995570e-01 1.168777e-01 1.142188e-01 6.434169e-02 1.875778e-01 [226] 1.600004e-01 1.493799e-02 5.073451e-01 2.268063e-01 1.161141e-01 [231] 1.732968e-01 9.689385e-01 6.410618e-02 1.345384e-01 5.988906e-02 [236] 1.363580e-01 8.697792e-02 9.329056e-02 4.543909e-01 1.919258e-01 [241] 5.797697e-02 1.856179e-01 2.128409e-01 5.268047e-02 3.331936e-01 [246] 3.237409e-01 3.046326e-02 2.569518e-01 3.872964e-01 6.323358e-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/3bviv1228137529.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/1ljds1228137529.ps tmp/1ljds1228137529.png") > system("convert tmp/2f8lx1228137529.ps tmp/2f8lx1228137529.png") > system("convert tmp/3bviv1228137529.ps tmp/3bviv1228137529.png") > > > proc.time() user system elapsed 1.104 0.762 2.124