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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/1cfgh1228066858.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 4 3 2 1 2 1 0 -1 -2 -3 -2 -1 [19] -2 -3 -2 -3 -2 -1 0 -1 -2 -3 -4 -3 -4 -5 -6 -7 -8 -9 [37] -10 -11 -12 -13 -14 -13 -14 -13 -12 -13 -14 -13 -12 -11 -10 -11 -12 -13 [55] -12 -11 -12 -13 -14 -15 -14 -13 -14 -15 -16 -15 -16 -17 -16 -15 -16 -17 [73] -18 -19 -18 -17 -18 -19 -18 -17 -16 -17 -16 -15 -14 -15 -14 -15 -16 -15 [91] -16 -15 -14 -15 -14 -15 -14 -15 -14 -15 -14 -13 -14 -15 -14 -15 -14 -13 [109] -12 -11 -10 -11 -10 -11 -12 -13 -12 -13 -14 -15 -14 -13 -12 -11 -12 -11 [127] -10 -9 -10 -11 -12 -13 -12 -11 -10 -11 -10 -9 -10 -11 -12 -11 -12 -13 [145] -12 -13 -14 -13 -14 -13 -12 -11 -12 -11 -12 -11 -10 -11 -12 -13 -14 -15 [163] -16 -15 -14 -13 -12 -11 -10 -11 -12 -13 -14 -15 -14 -15 -16 -17 -16 -15 [181] -16 -15 -16 -17 -16 -17 -18 -19 -20 -19 -20 -21 -20 -21 -22 -23 -22 -23 [199] -24 -23 -24 -23 -24 -23 -22 -23 -22 -21 -22 -23 -24 -25 -26 -27 -26 -27 [217] -26 -25 -24 -23 -22 -23 -24 -23 -22 -23 -24 -25 -24 -25 -24 -25 -26 -27 [235] -26 -25 -26 -27 -26 -27 -26 -27 -28 -27 -26 -25 -26 -25 -26 -27 -26 -25 [253] -24 -25 -24 -23 -22 -21 -22 -21 -22 -23 -22 -23 -24 -23 -24 -23 -24 -23 [271] -22 -21 -22 -23 -24 -25 -26 -25 -26 -25 -24 -23 -24 -23 -22 -21 -20 -21 [289] -20 -19 -20 -21 -20 -19 -18 -17 -16 -15 -16 -17 -18 -19 -20 -19 -20 -19 [307] -18 -19 -18 -19 -20 -21 -22 -21 -20 -19 -20 -21 -20 -19 -18 -17 -16 -15 [325] -14 -13 -12 -11 -10 -11 -10 -9 -8 -9 -10 -11 -10 -9 -8 -7 -8 -9 [343] -8 -9 -10 -9 -8 -9 -8 -9 -8 -7 -6 -7 -8 -7 -8 -7 -6 -7 [361] -6 -7 -6 -7 -8 -9 -10 -11 -12 -11 -12 -11 -10 -11 -10 -11 -10 -11 [379] -12 -13 -14 -15 -16 -15 -14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 [397] -4 -5 -6 -7 -6 -5 -6 -5 -6 -7 -6 -7 -6 -7 -6 -7 -6 -5 [415] -4 -5 -6 -7 -6 -5 -4 -5 -4 -5 -4 -3 -4 -5 -6 -5 -4 -3 [433] -4 -5 -4 -3 -2 -3 -4 -3 -2 -3 -2 -3 -2 -3 -4 -5 -6 -7 [451] -6 -5 -6 -5 -6 -7 -8 -7 -8 -7 -8 -9 -8 -7 -8 -9 -10 -9 [469] -8 -7 -6 -7 -6 -5 -6 -7 -8 -9 -10 -9 -8 -9 -10 -11 -10 -9 [487] -8 -9 -10 -9 -8 -9 -8 -7 -8 -9 -10 -9 -10 -9 > x <- b > postscript(file="/var/www/html/freestat/rcomp/tmp/2dkqq1228066858.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] 6.041206e+03 2.450515e+03 3.275690e+02 2.223787e+02 4.894773e+02 [6] 2.043434e+02 1.036514e+01 1.015816e+02 4.413975e+01 1.016517e+01 [11] 5.652482e+01 2.298951e+01 8.685413e+01 4.475354e+01 9.686868e+01 [16] 2.532963e+01 9.496893e+00 2.362820e+01 1.230559e+01 5.356353e+00 [21] 1.458710e+01 1.189962e+00 1.665734e+01 2.154503e+00 9.774812e+00 [26] 1.598397e+01 1.434011e+00 2.097214e+00 2.419978e+01 1.227909e+01 [31] 1.356593e+00 1.787219e+01 6.344335e-01 1.155691e+01 1.043880e+01 [36] 9.663859e+00 5.877209e+00 2.549907e+01 7.417571e+00 3.949044e+00 [41] 2.927532e+00 8.487164e-01 2.278487e+00 6.173354e+00 6.269348e-01 [46] 3.331512e+00 2.596691e+00 6.215178e-01 4.249342e+00 2.958204e-01 [51] 5.607463e+00 9.687418e-01 5.304091e-01 1.641516e+00 8.568047e-01 [56] 2.214948e+00 4.134073e+00 2.572639e+00 1.207931e+00 2.974878e-01 [61] 6.253606e+00 1.032649e+00 8.180506e-01 4.386311e-01 2.720616e-01 [66] 2.485065e-01 9.094411e-01 5.477053e-01 6.834837e-01 1.687639e+00 [71] 4.574473e-01 5.885471e-02 4.671476e-02 1.468591e+00 1.370113e-01 [76] 1.602746e+00 1.340764e+00 5.974174e-01 1.322538e+00 1.606896e+00 [81] 4.453686e+00 7.879365e-01 6.614208e-01 7.496052e-01 1.548974e+00 [86] 4.790429e-01 1.061604e+00 2.408492e+00 1.252339e+00 1.904375e+00 [91] 7.372893e-01 2.540524e+00 1.569702e-01 2.509809e+00 7.367137e-02 [96] 9.599257e-01 2.905519e+00 8.902179e-01 6.011198e-02 1.406015e+00 [101] 7.350761e-02 5.877270e-01 6.943036e-01 2.348739e+00 4.243841e-01 [106] 1.029264e-01 1.611829e+00 4.122277e-02 6.811322e-01 2.544734e-01 [111] 2.155121e-01 1.297185e+00 3.516830e-03 2.291990e-01 1.803261e-01 [116] 4.570475e-01 1.510131e-01 3.489113e-01 5.822031e-01 3.021512e-01 [121] 4.730606e-01 1.444478e-01 1.513064e-01 4.129192e-02 3.020405e-01 [126] 5.220978e-01 2.068590e-01 2.750905e-01 1.848812e-01 2.615956e-01 [131] 5.543660e-01 3.306890e-01 7.311005e-02 1.289706e-01 2.140608e-01 [136] 1.171008e+00 5.942780e-01 2.411657e-01 4.611928e-01 3.038889e-02 [141] 5.069217e-01 5.993227e-01 7.721635e-02 1.321164e+00 8.393409e-01 [146] 2.886684e-01 8.318343e-02 5.547194e-01 3.346956e-01 9.427236e-02 [151] 8.643930e-02 2.361793e-01 5.370314e-01 1.029672e-01 5.638658e-03 [156] 9.986214e-02 6.714125e-02 1.755966e-01 1.528391e-01 1.642067e-01 [161] 3.654036e-01 2.747967e-01 2.400728e-01 5.783493e-01 4.273395e-01 [166] 5.694429e-01 2.086734e-01 4.698657e-01 7.033974e-02 8.603892e-01 [171] 6.452620e-02 9.849600e-02 8.032564e-01 5.603050e-01 7.297653e-02 [176] 6.269400e-01 1.809573e-01 6.744045e-01 6.095781e-04 3.032385e-01 [181] 9.124279e-02 1.134108e-01 2.167543e-01 7.323179e-02 1.804717e-01 [186] 1.438577e-01 4.324673e-01 4.798004e-01 1.470617e-01 1.306859e-01 [191] 3.123629e-01 7.587372e-02 7.390478e-02 3.973315e-01 1.570080e-01 [196] 2.019190e-01 1.264588e-01 4.325110e-01 2.890425e-01 1.044015e-01 [201] 4.102736e-01 7.810287e-03 5.586017e-02 1.121061e-01 1.054807e+00 [206] 1.063771e+00 1.819555e-01 5.978418e-01 9.064356e-01 5.771221e-01 [211] 4.147948e-02 1.101322e-01 2.829424e-01 1.429794e-01 1.471958e-01 [216] 4.123114e-01 1.058263e-01 6.083022e-01 1.865753e-01 1.458119e-01 [221] 2.355980e-01 2.261344e-02 3.958517e-02 6.654073e-01 1.785366e-01 [226] 2.992583e-02 7.027361e-02 2.286092e-01 5.131430e-02 9.718250e-02 [231] 1.247970e-01 3.479805e-01 2.792049e-01 3.188356e-01 1.309014e-01 [236] 1.091050e-01 3.183216e-01 1.242864e-02 1.270479e-02 4.741648e-02 [241] 3.205288e-02 5.247046e-01 5.600252e-02 3.401154e-01 6.290519e-01 [246] 6.413543e-01 2.576547e-01 3.717992e-01 2.390348e-02 4.254408e-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/freestat/rcomp/tmp/3sr821228066858.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/1cfgh1228066858.ps tmp/1cfgh1228066858.png") > system("convert tmp/2dkqq1228066858.ps tmp/2dkqq1228066858.png") > system("convert tmp/3sr821228066858.ps tmp/3sr821228066858.png") > > > proc.time() user system elapsed 1.054 0.721 1.174