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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/1d34f1228157673.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 2 1 0 1 2 1 [19] 2 3 2 3 4 5 4 3 2 1 2 3 2 3 2 1 2 1 [37] 2 1 0 -1 -2 -1 -2 -1 -2 -3 -4 -5 -6 -7 -6 -5 -4 -3 [55] -2 -3 -2 -3 -4 -5 -4 -5 -6 -7 -6 -7 -6 -5 -6 -7 -8 -7 [73] -8 -9 -10 -9 -10 -11 -10 -9 -10 -11 -12 -11 -10 -11 -10 -9 -10 -9 [91] -8 -7 -6 -5 -6 -5 -4 -5 -4 -3 -4 -3 -4 -5 -6 -5 -4 -5 [109] -6 -7 -8 -9 -10 -9 -10 -11 -12 -13 -12 -13 -12 -11 -10 -9 -8 -9 [127] -8 -7 -8 -9 -8 -9 -10 -9 -8 -9 -10 -11 -10 -11 -10 -9 -10 -11 [145] -12 -11 -12 -11 -10 -11 -10 -9 -10 -9 -8 -7 -8 -9 -8 -9 -8 -7 [163] -8 -9 -8 -9 -10 -11 -12 -13 -14 -15 -16 -15 -16 -15 -16 -17 -18 -19 [181] -18 -19 -18 -19 -20 -21 -22 -21 -22 -23 -24 -25 -24 -25 -24 -25 -24 -25 [199] -24 -25 -24 -25 -26 -25 -24 -23 -22 -23 -24 -23 -24 -23 -24 -25 -24 -25 [217] -26 -25 -26 -25 -26 -27 -26 -27 -26 -25 -24 -23 -24 -25 -24 -23 -22 -21 [235] -20 -19 -18 -17 -16 -15 -14 -13 -14 -13 -12 -11 -12 -11 -12 -11 -10 -11 [253] -12 -13 -14 -13 -12 -11 -12 -11 -10 -11 -10 -11 -10 -11 -12 -13 -12 -13 [271] -14 -13 -14 -13 -14 -15 -14 -13 -12 -13 -14 -15 -14 -13 -14 -13 -14 -13 [289] -14 -13 -14 -13 -14 -15 -14 -13 -12 -11 -10 -11 -10 -9 -10 -11 -10 -11 [307] -12 -11 -10 -11 -10 -9 -8 -9 -10 -11 -10 -9 -8 -9 -8 -7 -8 -7 [325] -8 -9 -10 -9 -10 -11 -12 -13 -14 -15 -16 -15 -16 -15 -14 -13 -12 -13 [343] -14 -15 -14 -15 -14 -13 -14 -13 -12 -13 -12 -11 -10 -9 -10 -9 -8 -7 [361] -8 -9 -10 -9 -8 -7 -6 -5 -4 -3 -4 -5 -4 -5 -6 -5 -4 -3 [379] -2 -3 -2 -1 0 1 0 -1 -2 -3 -2 -1 0 1 2 3 4 3 [397] 2 1 0 1 2 3 2 1 0 1 0 1 0 -1 0 1 2 1 [415] 0 1 0 1 2 3 2 1 2 3 2 1 2 1 0 1 2 1 [433] 0 -1 -2 -1 0 -1 0 1 0 1 0 -1 0 -1 -2 -1 0 -1 [451] 0 -1 -2 -1 -2 -1 -2 -3 -2 -1 -2 -1 0 -1 -2 -3 -4 -5 [469] -6 -7 -8 -9 -8 -7 -6 -7 -6 -5 -6 -5 -4 -5 -4 -5 -4 -3 [487] -2 -1 0 -1 0 1 2 1 0 -1 -2 -3 -2 -1 > x <- b > postscript(file="/var/www/html/freestat/rcomp/tmp/2qpa81228157673.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] 7.937639e+03 1.117919e+03 8.304713e+02 1.718587e+03 2.021077e+02 [6] 3.355175e+01 5.740870e+02 2.058104e+01 1.540359e+02 7.110507e+01 [11] 5.064045e+00 1.305304e+01 4.799018e+01 1.240995e+02 3.978495e+01 [16] 2.969867e+00 3.975000e+01 3.677266e+01 1.749302e+01 2.379798e+00 [21] 8.761897e+00 7.086319e+00 2.118128e-01 4.636700e-01 1.840650e+01 [26] 1.083118e+01 3.157556e+00 6.699729e+00 2.444893e+00 5.151657e+00 [31] 4.304954e-01 2.954275e+00 3.356285e+00 1.598884e-01 1.159655e+01 [36] 4.855200e-01 1.925521e+01 3.434522e+00 2.807656e+00 9.502145e-01 [41] 2.785647e+00 5.765418e+00 1.335735e+01 7.993946e-01 7.468051e-02 [46] 3.025085e+00 9.166361e-01 2.573056e+00 1.180583e+01 5.589459e-01 [51] 8.223871e-01 4.556241e-02 1.184252e+00 3.756000e+00 1.143221e+00 [56] 5.428121e+00 1.923563e+00 6.364039e-01 5.719939e-01 2.931082e-01 [61] 1.069748e-01 1.573276e+00 1.632927e+00 5.087095e-01 3.517474e-01 [66] 2.008409e+00 6.249264e-01 2.997256e-01 2.110034e-01 5.817296e-01 [71] 2.770690e+00 1.085840e+00 3.235210e+00 6.586142e-01 4.924074e-01 [76] 2.146744e+00 1.044835e+00 1.762190e+00 1.222868e+00 3.450547e-01 [81] 1.543653e+00 2.570115e+00 1.140843e+00 2.050434e+00 2.125587e+00 [86] 5.679857e-01 2.672847e+00 4.748612e-01 1.189021e+00 2.293711e+00 [91] 8.727622e-02 4.681274e-01 4.880144e-01 1.455157e-01 1.475020e-01 [96] 2.110473e-01 5.166798e-01 5.819116e-01 3.084690e-01 5.908357e-02 [101] 2.228833e-01 1.933737e-01 4.628333e-02 2.975466e-01 1.165788e+00 [106] 1.458231e+00 8.902379e-02 5.421406e-02 5.742051e-02 1.212433e+00 [111] 2.143824e+00 8.369960e-03 3.619671e-02 6.462659e-03 2.770711e-01 [116] 9.138542e-01 2.626700e-01 9.836699e-01 2.516866e-01 4.833892e-01 [121] 2.381500e-01 1.373131e-02 2.162529e-01 8.022106e-02 5.019099e-01 [126] 3.581861e-01 5.461449e-01 6.305438e-01 9.494250e-01 2.563361e-01 [131] 6.935649e-01 3.897263e-01 7.969872e-01 7.269739e-02 2.746263e-01 [136] 1.799225e-01 6.207825e-01 4.979190e-01 3.522892e-01 6.460507e-01 [141] 1.294179e-01 6.069074e-01 5.551851e-01 8.350070e-01 3.003264e-01 [146] 2.557780e-01 2.828130e-01 1.955989e-01 6.228026e-01 5.421138e-01 [151] 2.835981e-01 9.815666e-02 6.069552e-01 3.858921e-01 2.666620e-01 [156] 1.279803e+00 3.502981e-01 2.841411e-02 9.929871e-02 6.946649e-02 [161] 2.043098e-01 3.079408e-01 6.423884e-01 5.986019e-01 3.670155e-01 [166] 3.302110e-03 3.299493e-01 7.452681e-01 2.705184e-01 4.551479e-01 [171] 4.293330e-01 4.447510e-01 1.116115e+00 2.658122e-01 9.196474e-01 [176] 4.397441e-02 3.122550e-01 8.916311e-01 3.716629e-01 2.275676e-01 [181] 3.372001e-01 1.405899e-01 1.557718e-01 6.164733e-01 7.764427e-02 [186] 3.355145e-01 6.888629e-01 1.453613e-01 6.288401e-01 8.126024e-03 [191] 2.833614e-01 2.408971e-01 3.149159e-02 2.196483e-01 1.440419e-02 [196] 3.701539e-01 1.171371e-01 3.123148e-02 3.968385e-01 4.980218e-02 [201] 5.641921e-01 6.941568e-01 5.694498e-01 7.876339e-02 5.974831e-02 [206] 2.530120e-01 3.374567e-01 5.049527e-03 5.190915e-01 1.275905e-02 [211] 1.887591e-01 3.402643e-01 2.031696e-01 1.111042e-01 1.042453e+00 [216] 4.209438e-01 2.768300e-04 2.088521e-02 4.455506e-01 7.723468e-01 [221] 7.516405e-02 1.807890e-01 5.045239e-02 4.363201e-01 2.010606e-01 [226] 3.680574e-01 3.808512e-02 9.679225e-03 2.235466e-01 7.980478e-03 [231] 1.797532e-01 2.266526e-01 6.350956e-02 1.553744e-01 2.271234e-01 [236] 1.130211e+00 5.525650e-01 6.620471e-01 5.882744e-02 2.134944e-02 [241] 2.913123e-02 6.293303e-01 1.612049e-01 1.928442e-01 4.062694e-03 [246] 3.216579e-02 1.598922e-01 2.065742e-02 9.308251e-02 9.206983e-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/freestat/rcomp/tmp/3ugjs1228157673.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/1d34f1228157673.ps tmp/1d34f1228157673.png") > system("convert tmp/2qpa81228157673.ps tmp/2qpa81228157673.png") > system("convert tmp/3ugjs1228157673.ps tmp/3ugjs1228157673.png") > > > proc.time() user system elapsed 1.052 0.716 1.303