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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/18p8p1228225293.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 0 -1 -2 -1 0 -1 -2 -1 -2 -1 0 -1 0 1 [19] 0 -1 0 -1 0 1 0 -1 0 -1 0 -1 -2 -3 -4 -5 -4 -5 [37] -6 -7 -8 -7 -6 -5 -6 -7 -6 -7 -8 -7 -8 -7 -8 -7 -8 -9 [55] -8 -7 -6 -5 -4 -5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5 -4 -5 [73] -4 -5 -6 -5 -4 -3 -4 -5 -4 -3 -2 -3 -2 -3 -2 -1 -2 -3 [91] -2 -3 -2 -1 0 1 0 1 0 -1 -2 -3 -4 -3 -4 -5 -6 -5 [109] -4 -5 -6 -7 -8 -7 -8 -7 -8 -7 -8 -9 -10 -11 -10 -9 -8 -7 [127] -8 -9 -10 -9 -10 -9 -10 -11 -12 -13 -14 -15 -16 -15 -14 -15 -16 -17 [145] -16 -15 -14 -13 -14 -13 -12 -13 -14 -13 -12 -13 -14 -13 -14 -13 -12 -11 [163] -10 -9 -8 -7 -8 -7 -8 -7 -8 -9 -8 -9 -10 -9 -10 -9 -8 -7 [181] -6 -5 -6 -5 -6 -7 -6 -5 -6 -5 -4 -3 -4 -3 -4 -3 -4 -5 [199] -4 -3 -4 -5 -4 -3 -2 -3 -2 -3 -2 -3 -2 -1 -2 -1 -2 -3 [217] -2 -1 -2 -3 -2 -3 -2 -1 0 1 0 -1 -2 -3 -4 -3 -2 -3 [235] -2 -3 -4 -3 -4 -5 -4 -5 -6 -7 -8 -9 -8 -9 -10 -11 -10 -9 [253] -10 -11 -10 -11 -10 -9 -8 -7 -8 -9 -8 -7 -8 -9 -8 -7 -6 -7 [271] -8 -9 -8 -7 -6 -5 -4 -5 -4 -5 -4 -5 -6 -5 -4 -3 -2 -1 [289] -2 -3 -2 -3 -4 -3 -2 -3 -2 -1 0 1 0 1 2 1 2 3 [307] 4 5 6 5 6 7 8 7 8 9 10 11 12 13 14 15 16 17 [325] 18 19 20 19 20 19 18 19 18 17 18 17 18 17 16 17 18 17 [343] 18 19 20 19 20 21 20 19 18 19 18 19 18 19 18 17 16 15 [361] 14 13 12 11 12 13 14 13 12 11 10 11 12 13 12 11 12 13 [379] 14 15 16 15 14 13 12 13 12 11 12 13 14 15 16 15 16 15 [397] 16 17 18 19 18 17 18 17 16 15 16 15 14 13 12 13 12 13 [415] 14 15 14 15 16 15 14 13 14 13 14 15 14 13 12 13 12 13 [433] 14 13 14 13 14 15 14 15 14 15 14 13 14 15 14 15 14 15 [451] 16 15 16 15 14 13 14 13 14 15 16 15 14 13 14 13 12 13 [469] 12 11 10 9 8 9 10 11 10 9 10 9 8 9 10 11 12 13 [487] 12 13 12 13 12 11 12 13 14 13 14 15 16 15 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2lf1b1228225293.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] 3.983403e+03 2.035272e+03 1.366757e+03 1.786089e+03 4.957605e+02 [6] 1.382524e+02 5.280495e+01 1.392608e+02 1.195822e+02 1.603871e+01 [11] 1.282960e+01 3.388164e+01 6.341814e+00 4.101899e+01 7.088930e+01 [16] 1.290614e+01 4.901750e+00 2.068004e+01 9.728157e+00 4.340285e+00 [21] 2.160562e+01 2.931655e+01 7.113029e+00 1.191386e+01 1.394841e+01 [26] 7.283684e+00 9.968745e-01 2.903293e+01 3.954614e+00 1.290189e+01 [31] 8.690031e+00 1.397651e+00 1.249955e+00 2.665136e+00 3.522342e+00 [36] 1.180897e+00 6.464877e+00 1.390001e+00 7.157465e-01 2.016087e+00 [41] 1.400286e-01 7.981044e+00 7.634668e+00 4.252582e+00 1.541522e-01 [46] 4.414421e+00 4.304541e+00 1.934017e+00 1.955623e+00 3.116665e+00 [51] 4.961235e-01 2.568541e+00 1.312883e+00 7.347703e-01 1.933033e+00 [56] 1.308797e-01 5.105941e+00 4.918157e+00 1.022157e-01 5.911002e+00 [61] 3.246103e-01 1.435488e+00 3.022755e-01 2.602421e+00 1.859083e+00 [66] 2.233439e+00 2.620949e+00 3.228022e+00 3.619284e-01 1.061729e+00 [71] 1.184250e+00 7.268665e-01 1.450961e+00 2.570271e+00 2.101021e+00 [76] 2.212773e+00 1.535141e+00 1.113174e+00 1.895517e-01 2.538318e-01 [81] 1.583591e+00 1.396541e-01 2.044091e+00 3.418140e-01 3.416786e-01 [86] 1.705838e+00 8.144507e-01 2.084455e-01 6.756248e-02 1.127798e+00 [91] 3.164781e-01 2.865561e-01 1.000227e+00 2.011646e+00 1.189676e+00 [96] 8.460938e-01 1.284377e+00 1.869471e-01 3.046512e-02 2.815355e-02 [101] 2.599613e-01 5.640192e-01 1.936919e-01 1.495415e-02 6.800175e-01 [106] 2.204223e-03 3.126259e-01 6.094753e-01 4.574225e-01 1.277812e+00 [111] 1.190983e+00 2.140493e-01 4.567002e-02 9.464162e-02 1.286870e+00 [116] 7.949836e-01 7.138687e-02 1.494979e+00 1.073080e+00 3.345799e-01 [121] 5.785210e-01 1.208511e-01 4.219348e-01 3.110879e-01 2.082500e-01 [126] 3.952989e-01 4.815139e-02 1.712137e-01 3.380564e-01 3.968207e-01 [131] 1.449676e-02 1.684690e+00 2.936923e-01 1.420812e+00 7.463744e-01 [136] 2.683419e-01 2.251887e-01 1.041906e-01 1.364819e-01 5.046623e-01 [141] 7.774503e-02 2.067294e+00 2.349779e-01 1.706191e-01 4.111787e-02 [146] 1.429367e-02 3.672862e-02 3.340948e-01 2.505527e-01 6.216979e-01 [151] 8.229331e-01 1.416359e-01 5.054509e-02 2.690724e-01 4.191403e-01 [156] 1.690578e-01 3.608314e-02 2.771932e-02 3.816677e-02 3.127439e-01 [161] 3.799037e-01 1.004363e-02 3.692434e-01 2.071180e-01 5.045493e-01 [166] 4.646983e-01 1.321984e-01 1.951564e-01 9.484432e-01 1.529929e+00 [171] 6.224915e-01 2.783234e-01 3.641360e-03 1.885944e-01 1.199162e-01 [176] 9.061241e-01 1.727945e-03 3.043305e-01 3.965216e-01 7.624979e-01 [181] 1.999879e-02 1.170850e-01 1.851205e-01 2.352262e-02 3.200440e-01 [186] 8.596345e-01 3.954789e-02 2.863445e-01 2.977099e-01 2.570086e-01 [191] 1.265972e-01 1.656265e-02 3.791405e-01 2.650049e-01 9.406690e-01 [196] 2.915816e-01 1.847435e-01 6.707437e-02 9.218764e-01 4.111721e-01 [201] 3.435607e-02 1.920508e-01 2.165840e-01 1.531399e-01 2.837228e-01 [206] 1.470618e-01 4.778269e-01 1.739126e-01 5.074423e-02 6.257665e-01 [211] 1.336954e-01 7.748433e-02 5.504560e-01 2.156891e-01 4.196160e-01 [216] 2.313518e-01 1.880690e-01 6.638449e-01 1.340203e-01 4.801848e-01 [221] 2.781421e-01 1.269355e-01 3.543699e-01 9.400511e-02 2.049672e-01 [226] 1.018363e-01 1.795248e-02 2.500205e-01 6.565705e-02 6.737577e-02 [231] 3.318443e-02 6.873187e-01 6.918867e-02 9.349591e-01 9.249892e-02 [236] 2.512933e-01 1.208867e-02 8.598076e-02 2.825428e-02 2.003199e-02 [241] 3.201660e-02 1.055139e+00 4.401797e-02 3.366068e-01 8.201545e-03 [246] 1.796037e-02 2.790954e-01 8.583666e-01 4.675258e-01 4.706317e-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/rcomp/tmp/3pcxz1228225293.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/18p8p1228225293.ps tmp/18p8p1228225293.png") > system("convert tmp/2lf1b1228225293.ps tmp/2lf1b1228225293.png") > system("convert tmp/3pcxz1228225293.ps tmp/3pcxz1228225293.png") > > > proc.time() user system elapsed 0.818 0.599 1.192