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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/rcomp/tmp/1kj4d1228303809.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 -3 -4 -5 -6 -5 -6 -5 -6 -7 -8 -7 [19] -8 -7 -8 -7 -8 -9 -8 -9 -8 -7 -6 -7 -6 -5 -6 -7 -6 -7 [37] -8 -9 -10 -9 -8 -9 -8 -9 -8 -7 -6 -7 -8 -9 -10 -11 -12 -11 [55] -12 -11 -10 -11 -10 -11 -10 -9 -8 -9 -8 -9 -10 -9 -10 -9 -10 -9 [73] -10 -9 -8 -7 -6 -7 -6 -7 -6 -5 -4 -3 -4 -5 -6 -5 -6 -5 [91] -6 -5 -6 -5 -6 -7 -8 -7 -6 -5 -4 -5 -6 -5 -6 -5 -6 -5 [109] -6 -7 -8 -7 -6 -5 -4 -5 -6 -5 -4 -3 -2 -1 0 1 0 -1 [127] -2 -1 -2 -3 -2 -3 -4 -5 -4 -5 -6 -5 -4 -5 -6 -7 -6 -7 [145] -6 -5 -6 -5 -6 -5 -6 -7 -6 -7 -8 -9 -8 -9 -8 -7 -6 -5 [163] -4 -5 -4 -3 -4 -3 -2 -3 -4 -3 -4 -5 -4 -3 -4 -3 -4 -5 [181] -6 -7 -6 -5 -4 -5 -4 -5 -4 -5 -6 -7 -6 -5 -6 -5 -4 -3 [199] -4 -3 -2 -1 0 -1 0 1 2 3 2 1 0 -1 0 1 0 -1 [217] 0 -1 -2 -3 -2 -1 -2 -3 -4 -5 -4 -3 -4 -3 -2 -3 -4 -3 [235] -2 -1 0 -1 0 1 0 -1 0 -1 0 1 0 1 2 3 4 3 [253] 2 1 0 -1 -2 -3 -2 -1 0 1 0 1 0 1 2 3 4 5 [271] 6 7 8 9 10 11 12 11 12 13 12 11 10 9 8 7 6 7 [289] 6 5 6 7 8 9 10 9 10 9 10 9 10 11 10 9 10 11 [307] 12 11 12 11 12 13 14 15 16 17 16 17 18 19 18 19 20 19 [325] 18 19 20 19 18 17 16 15 16 15 14 15 16 17 18 19 20 19 [343] 18 19 18 19 18 17 16 15 16 17 16 17 18 19 18 17 16 15 [361] 14 15 16 15 14 15 14 15 16 15 14 15 16 15 14 13 12 11 [379] 12 11 12 13 14 13 12 13 12 11 10 9 10 11 12 13 12 13 [397] 14 15 16 15 16 17 18 19 20 19 18 17 16 17 16 17 18 17 [415] 16 15 14 13 12 13 12 11 10 9 8 7 8 9 10 9 10 11 [433] 10 9 8 9 10 11 12 13 12 11 10 11 10 11 10 9 8 9 [451] 10 11 12 11 10 9 8 9 10 9 10 9 10 11 10 11 12 11 [469] 12 13 12 13 14 13 12 11 12 11 12 11 12 11 12 13 14 15 [487] 14 15 14 13 12 13 12 11 10 11 10 11 12 11 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2jmfr1228303809.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] 1.490254e+03 1.932567e+03 3.593385e+02 1.571203e+01 2.625919e+02 [6] 1.951216e+01 1.157620e+02 8.967967e+01 6.296706e+00 2.937688e+01 [11] 8.924904e+01 1.258879e+02 1.580102e+02 2.377649e+01 9.917527e+01 [16] 4.046410e+01 6.901546e+00 1.101911e+01 1.282226e+01 1.710732e+01 [21] 1.638990e+01 1.076600e+01 4.607427e+01 1.417953e+01 9.953713e+00 [26] 1.565020e+01 2.708919e+00 4.139074e+00 1.816915e+00 2.683362e+00 [31] 2.516750e+00 1.731042e+01 5.813716e+00 3.165240e+01 3.216516e-01 [36] 2.457321e+00 4.716261e+00 7.111267e-01 1.020056e+01 8.921938e-01 [41] 1.901779e+00 1.914063e+00 2.823211e+00 3.603073e+00 5.614328e+00 [46] 2.293355e+00 3.452017e+00 2.078726e+00 1.967678e+00 1.571265e+00 [51] 1.340755e+00 3.295045e+00 8.244252e+00 2.058254e+00 2.690498e+00 [56] 1.301902e+00 2.760691e-01 2.185769e-01 2.415609e+00 3.507911e+00 [61] 4.537988e-01 4.159348e+00 2.960529e-01 1.720963e+00 9.648227e+00 [66] 1.867311e+00 2.195354e+00 1.147293e+00 1.975093e+00 4.000625e-01 [71] 1.174899e-01 2.679048e+00 6.932366e-01 6.862223e-01 2.020650e+00 [76] 3.721652e+00 1.834831e+00 1.458399e+00 7.430339e-02 1.880737e+00 [81] 5.673051e-01 7.403352e-01 3.618232e-02 3.867259e+00 5.319707e-01 [86] 5.467224e-01 7.248694e-01 6.929757e-03 2.878702e-01 8.686637e-01 [91] 3.623748e-01 9.572812e-02 1.399537e-01 2.863254e-01 7.357983e-01 [96] 6.364375e-01 4.506291e-01 8.510771e-01 9.650522e-01 6.378661e-01 [101] 3.944030e-01 8.791345e-01 9.330699e-01 6.026591e-02 9.830087e-01 [106] 8.890676e-01 1.847047e-01 3.889549e-01 4.930294e-01 3.381764e-01 [111] 9.256581e-01 3.852155e-01 1.888910e-01 6.203292e-01 1.248406e+00 [116] 9.768254e-02 2.130068e-02 7.753921e-02 8.600795e-01 5.803571e-01 [121] 4.290149e-01 2.070405e-01 2.730243e-01 8.502775e-02 1.169008e-01 [126] 2.257604e-02 2.343642e-01 5.721747e-01 5.204689e-02 2.912382e-01 [131] 1.089968e+00 1.325406e-01 8.627838e-01 2.044859e-01 1.233982e+00 [136] 7.450184e-01 3.154045e-02 3.588099e-01 8.435405e-01 1.806560e-01 [141] 9.487731e-01 9.637522e-01 8.548808e-01 1.993337e-01 1.845909e-01 [146] 5.345516e-01 4.228176e-01 7.163113e-01 3.576398e-01 2.819688e-01 [151] 4.359989e-01 1.917245e-01 1.223940e-01 1.077442e-01 7.534464e-01 [156] 1.000167e-01 4.747747e-02 1.277097e-01 7.207804e-02 4.097084e-01 [161] 8.200779e-01 3.981114e-01 5.009537e-01 5.341268e-01 2.599535e-02 [166] 1.794456e-02 1.599791e-01 9.686724e-01 3.556931e-01 1.142529e-01 [171] 1.096469e-01 9.550743e-02 1.786175e-01 3.361795e-01 2.114337e-01 [176] 3.769798e-01 6.234947e-02 5.587952e-01 2.306354e-01 3.463994e-02 [181] 5.506342e-01 2.965927e-01 4.211986e-01 1.708651e-01 1.370199e-01 [186] 2.168003e-01 5.507922e-02 1.049443e+00 2.395651e-01 2.375026e-01 [191] 1.459997e-01 4.140624e-02 6.559797e-02 2.248959e-02 3.833670e-01 [196] 2.842495e-02 5.216750e-02 5.677320e-02 3.563181e-01 1.819292e-01 [201] 2.130519e-01 5.369033e-01 1.408814e-01 4.399347e-01 1.480669e-02 [206] 1.589018e-01 1.460337e-01 1.545780e-01 6.466062e-02 1.577444e-01 [211] 1.469705e-01 3.591853e-01 1.905827e-01 3.184318e-01 9.614684e-02 [216] 9.467905e-03 1.681800e-01 3.193331e-01 2.695521e-01 2.285171e-01 [221] 5.534059e-01 1.431100e+00 1.514516e-01 4.949327e-01 6.202647e-01 [226] 2.587642e-01 1.297422e-01 1.734278e-02 2.148099e-01 7.470775e-01 [231] 5.606787e-01 2.942285e-01 3.650347e-01 2.266721e-01 2.781169e-02 [236] 3.649081e-02 1.472289e-01 1.439325e-01 1.041137e-01 5.864538e-02 [241] 1.060601e-01 4.543036e-02 1.176184e-02 9.664864e-01 8.423668e-03 [246] 3.836943e-01 2.219095e-01 2.251691e-01 5.383216e-02 5.979873e-03 $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/3czcx1228303809.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/1kj4d1228303809.ps tmp/1kj4d1228303809.png") > system("convert tmp/2jmfr1228303809.ps tmp/2jmfr1228303809.png") > system("convert tmp/3czcx1228303809.ps tmp/3czcx1228303809.png") > > > proc.time() user system elapsed 1.891 1.016 2.024