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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/13vky1228226350.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 0 1 0 -1 -2 -1 -2 -1 -2 -3 -2 -1 0 1 2 3 4 [26] 3 2 3 2 1 0 1 2 3 4 5 6 5 6 5 6 5 6 7 6 7 8 7 8 7 [51] 8 9 8 7 8 9 8 7 6 5 4 3 4 3 4 5 4 3 4 5 4 5 6 7 8 [76] 9 10 11 10 11 10 9 8 9 8 9 10 9 8 9 10 9 10 9 10 9 10 11 12 13 [101] 12 13 14 15 16 17 16 17 16 17 18 19 18 17 16 15 14 13 12 11 12 11 10 11 12 [126] 11 10 9 8 7 6 7 6 5 6 5 6 5 4 3 2 3 4 3 4 3 4 3 4 3 [151] 4 5 6 5 6 5 6 7 6 5 4 5 4 3 2 3 2 1 0 -1 -2 -3 -2 -1 -2 [176] -1 0 -1 0 1 2 3 2 1 0 1 2 1 0 1 2 1 2 3 2 1 0 1 2 1 [201] 0 -1 0 1 0 1 2 3 4 5 4 3 2 1 2 3 2 3 4 5 6 5 6 7 6 [226] 5 6 5 6 5 4 3 2 3 4 3 4 3 2 1 2 3 2 3 4 5 4 5 4 5 [251] 6 5 4 3 4 5 4 5 6 7 8 7 6 7 8 9 10 11 12 11 12 13 14 13 12 [276] 11 12 11 12 11 10 11 10 9 10 9 8 7 6 5 4 3 4 5 6 7 6 5 6 7 [301] 6 5 6 5 6 5 4 5 4 5 4 5 6 5 4 3 4 5 4 3 2 3 4 5 6 [326] 7 8 9 8 7 6 7 8 7 8 9 8 7 8 7 8 7 6 5 4 5 6 5 6 7 [351] 6 5 4 5 6 7 8 7 8 9 10 11 12 11 12 11 10 9 10 9 8 9 10 11 10 [376] 9 10 9 8 9 10 9 10 11 12 13 12 13 12 13 12 11 10 11 10 11 12 13 12 11 [401] 12 11 12 11 10 9 8 9 8 7 8 9 10 11 10 11 12 13 14 15 16 15 16 15 16 [426] 17 18 19 20 19 20 19 18 17 18 17 16 17 16 15 16 15 14 15 14 15 16 17 16 15 [451] 16 15 16 17 16 15 14 15 14 13 12 11 12 11 10 11 10 9 8 7 6 5 6 7 6 [476] 5 4 5 6 5 4 3 4 3 4 5 4 3 4 5 6 5 6 7 6 7 8 9 10 11 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2n5iz1228226350.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] 8.932889e+02 4.534970e+02 1.746627e+03 3.820412e+01 3.973035e+01 [6] 4.288027e+02 6.614397e+00 5.055780e+00 4.439579e+02 4.388352e+00 [11] 6.211914e+00 1.188885e+01 1.035242e+02 4.206006e+01 1.427672e+01 [16] 9.143141e+01 1.021883e+02 3.181110e+01 1.153846e+01 3.540546e+01 [21] 2.910155e+00 9.872001e+00 5.026856e+00 2.574086e+00 8.584693e-01 [26] 4.702230e+00 2.827771e-02 1.821887e+00 1.672213e+01 1.959497e+00 [31] 1.890128e+00 7.310907e-02 7.396113e+00 1.275483e+01 2.658230e+00 [36] 4.322997e+00 6.765470e-02 1.396451e+01 1.118904e+01 7.123947e+00 [41] 7.008210e-01 3.158122e+00 1.265452e+00 1.061456e+01 7.180606e-01 [46] 3.313234e+00 1.533219e+00 8.287453e-01 4.269529e-01 5.194024e+00 [51] 7.950083e-01 3.385944e+00 1.064444e+00 5.673147e-01 1.503269e+00 [56] 7.467069e-01 1.375714e+00 4.653091e-01 1.991723e+00 2.994012e-01 [61] 1.045693e+00 7.489141e-01 2.799199e+00 4.223470e-01 3.147819e+00 [66] 1.466187e+00 8.975790e-01 8.542023e-01 1.925464e+00 1.542104e-01 [71] 8.927610e-01 4.024516e+00 5.137631e-01 8.035933e-01 6.045234e-01 [76] 1.023857e+00 5.003182e-01 6.581823e-01 3.655911e-01 1.911899e+00 [81] 1.165032e+00 7.334868e-01 3.937685e-01 1.252297e+00 8.718312e-02 [86] 5.151158e-01 8.378821e-02 2.455925e+00 3.017777e+00 2.413716e-01 [91] 1.093201e-01 1.354571e+00 7.657801e-02 1.463071e-01 3.929086e-01 [96] 1.750906e+00 9.038466e-01 1.381166e+00 3.822907e-02 2.983807e-02 [101] 4.953793e-01 4.841662e-02 5.245235e-01 2.328041e-01 1.049233e+00 [106] 1.787882e+00 8.759223e-01 7.602068e-01 1.055274e+00 4.773321e-01 [111] 1.540822e+00 1.399720e+00 2.658760e-01 2.418842e-01 2.132350e+00 [116] 5.714407e-01 1.881520e-01 2.954784e-01 3.607372e-01 9.068382e-01 [121] 8.144094e-01 1.253882e-01 1.381930e+00 1.954341e-01 3.732062e-02 [126] 2.603669e-01 5.019928e-02 1.596050e-01 1.130069e+00 6.901696e-01 [131] 7.447625e-04 2.032350e-01 2.160389e-01 1.300652e-01 7.762625e-01 [136] 1.788546e-01 1.260871e+00 3.144319e-01 2.862507e-01 4.200852e-01 [141] 1.102423e-01 1.040122e-01 7.277253e-01 1.812458e-02 1.612612e+00 [146] 8.664022e-01 1.891800e+00 8.200692e-01 3.710546e-02 3.153558e-02 [151] 8.005168e-02 3.534096e-01 9.336799e-02 1.258545e-01 2.581825e-01 [156] 5.329835e-02 3.598788e-01 4.158903e-01 2.012702e-01 1.570738e-01 [161] 6.021910e-01 4.318367e-01 3.663799e-02 3.846558e-01 1.914279e-01 [166] 5.286225e-01 3.263120e-01 2.099498e-02 3.532334e-01 2.211801e-01 [171] 3.504737e-01 1.285750e-01 1.733519e-01 6.757814e-01 8.717891e-02 [176] 2.121620e-02 1.129093e-01 3.842321e-01 5.673231e-01 8.506839e-01 [181] 2.176008e-01 3.942500e-01 1.533170e-01 1.248487e-01 9.582954e-02 [186] 4.676439e-01 2.828119e-01 1.072774e-01 7.977479e-01 2.210957e-01 [191] 3.471633e-01 2.141854e-01 9.711454e-01 2.981641e-01 2.419770e-01 [196] 1.942382e-01 7.887580e-03 6.948894e-01 4.428413e-01 1.900864e-01 [201] 3.200935e-01 4.113785e-01 9.411417e-01 2.390875e-01 2.356150e-01 [206] 1.377458e-01 8.461709e-02 8.145221e-02 1.288936e-01 5.409620e-01 [211] 1.218623e-01 3.151592e-01 6.281885e-02 1.648503e-01 2.235164e-01 [216] 1.489175e-01 8.333776e-02 2.199716e-02 2.086712e-01 1.861332e-01 [221] 1.126003e-02 1.970826e-01 3.791630e-02 2.004562e-01 1.688372e-01 [226] 5.254583e-01 1.672831e-01 1.802839e-01 1.854803e-01 1.649675e-01 [231] 4.640941e-01 1.010631e+00 4.769371e-02 3.225255e-01 1.321840e-01 [236] 1.863962e-01 5.660480e-02 1.614871e-01 6.716628e-01 1.706129e-01 [241] 1.476587e-01 2.898256e-01 7.776884e-01 6.462054e-02 4.554604e-01 [246] 1.387813e-01 2.757036e-02 2.892489e-03 1.290511e-02 2.670413e-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/3w6b81228226350.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/13vky1228226350.ps tmp/13vky1228226350.png") > system("convert tmp/2n5iz1228226350.ps tmp/2n5iz1228226350.png") > system("convert tmp/3w6b81228226350.ps tmp/3w6b81228226350.png") > > > proc.time() user system elapsed 0.851 0.622 2.002