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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/freestat/rcomp/tmp/1o3o51227988976.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 -2 -3 -2 -3 -4 -5 -6 -5 -4 -3 -2 -3 -4 -3 [19] -2 -1 0 -1 0 -1 0 1 0 -1 -2 -1 0 1 0 -1 0 1 [37] 2 1 2 1 2 1 2 3 2 1 0 1 0 1 0 1 0 -1 [55] -2 -3 -4 -3 -2 -1 0 1 2 1 0 -1 0 1 0 1 2 3 [73] 4 5 4 3 4 5 6 5 4 5 6 5 6 7 8 9 10 9 [91] 10 9 10 9 8 9 10 9 8 9 8 7 6 7 6 5 4 5 [109] 6 7 8 7 6 7 8 7 8 9 10 9 10 9 8 7 8 9 [127] 10 11 12 11 10 9 8 7 8 9 8 7 8 7 8 9 8 7 [145] 8 7 8 7 8 7 6 5 6 5 4 3 4 5 4 5 6 7 [163] 8 7 6 5 6 7 6 5 4 5 4 3 4 5 4 3 2 3 [181] 2 3 2 3 2 1 2 3 4 3 4 5 4 5 4 3 2 3 [199] 2 1 2 3 4 3 2 3 2 3 4 5 4 3 4 5 4 5 [217] 6 7 8 7 6 5 4 5 6 5 6 7 8 7 6 7 6 7 [235] 6 5 4 5 4 3 2 3 4 3 4 3 4 3 2 3 2 3 [253] 2 3 4 3 2 3 4 5 6 7 8 7 6 5 4 5 4 5 [271] 6 5 4 5 4 5 6 7 6 7 6 7 6 7 6 5 4 5 [289] 4 5 6 7 8 9 10 9 8 9 8 7 8 7 8 7 8 9 [307] 8 7 8 7 6 7 6 7 6 5 4 3 2 3 2 1 0 1 [325] 0 -1 -2 -3 -2 -1 -2 -3 -4 -5 -6 -7 -6 -7 -8 -9 -10 -11 [343] -12 -13 -12 -11 -10 -11 -12 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -5 [361] -6 -7 -6 -5 -4 -5 -6 -7 -6 -5 -6 -5 -4 -5 -6 -5 -6 -7 [379] -6 -5 -6 -5 -4 -5 -6 -5 -6 -7 -8 -7 -8 -7 -8 -7 -8 -7 [397] -8 -7 -8 -9 -8 -7 -6 -7 -6 -5 -6 -5 -4 -5 -4 -3 -2 -1 [415] -2 -3 -2 -1 -2 -1 0 -1 0 -1 0 -1 -2 -1 -2 -3 -4 -3 [433] -4 -3 -4 -5 -6 -5 -6 -5 -4 -3 -4 -5 -6 -5 -4 -5 -6 -7 [451] -6 -5 -6 -7 -6 -5 -6 -7 -6 -7 -6 -7 -6 -7 -8 -9 -8 -9 [469] -10 -9 -10 -9 -10 -11 -12 -11 -12 -11 -12 -13 -12 -13 -12 -13 -14 -15 [487] -14 -15 -16 -15 -16 -17 -16 -17 -16 -17 -18 -19 -18 -17 > x <- b > postscript(file="/var/www/html/freestat/rcomp/tmp/2zetg1227988976.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] 1.633654e+03 9.772421e+01 1.629522e+03 1.002699e+02 5.366439e+02 [6] 1.831762e+01 3.014081e+02 4.673699e+01 1.064062e+02 6.309720e+01 [11] 1.135246e+02 3.423260e+01 6.003148e+00 8.035748e+00 2.242501e+01 [16] 1.331620e+01 1.229054e+01 3.053201e+00 1.649756e+01 7.309850e+00 [21] 2.876751e+01 4.686721e-01 1.122106e+00 9.728524e+00 2.564352e-01 [26] 3.127292e-01 5.789570e+00 4.469347e-01 4.749254e+00 1.532165e+01 [31] 5.381259e+00 8.289068e-01 4.546441e+00 8.162115e+00 3.992770e+00 [36] 2.285756e+00 1.452919e+00 2.028409e+00 1.344968e+01 1.107825e-01 [41] 1.956881e+00 1.249737e+00 3.760576e-01 3.697515e-01 4.887303e+00 [46] 4.977067e+00 1.781926e-01 8.574546e-01 2.735399e+00 2.815168e+00 [51] 6.800847e+00 1.158333e+00 2.756606e+00 6.229692e+00 1.852872e+00 [56] 1.394456e-02 3.017605e+00 4.293469e+00 6.020194e+00 4.067065e+00 [61] 3.360882e+00 7.725803e-01 6.208618e-01 1.315831e+00 1.053855e-01 [66] 6.388300e-01 3.299985e+00 1.374743e+00 3.092550e-01 5.542716e-01 [71] 1.452997e-01 1.264085e+00 2.128095e+00 2.136919e+00 6.404621e-02 [76] 9.900068e-01 1.181027e+00 3.706819e-01 1.317765e+00 3.088317e-01 [81] 4.550438e-01 1.030709e+00 5.710152e-01 1.160159e+00 1.697864e-01 [86] 6.751847e-01 1.086540e+00 2.972594e-01 2.537074e-01 1.408343e+00 [91] 8.435466e-01 1.647605e+00 7.748042e-01 3.063457e-01 1.881930e+00 [96] 1.229372e+00 9.357525e-01 8.578100e-01 1.626441e+00 1.192043e+00 [101] 1.673265e-01 3.606085e-01 1.232432e+00 1.597947e-01 3.051085e-01 [106] 1.181743e+00 9.170514e-01 1.215678e-01 2.784713e-01 5.431900e-01 [111] 1.088257e+00 2.330349e-01 6.469337e-01 3.813347e+00 3.067292e-01 [116] 2.362912e-01 2.304490e-01 3.851883e-01 1.982063e-01 1.296837e+00 [121] 8.751871e-02 2.285374e-01 3.414226e-01 2.819561e-01 6.720840e-02 [126] 2.481955e-01 4.691452e-01 2.706002e-01 1.359611e-01 1.311622e+00 [131] 5.410536e-01 9.277447e-01 1.802570e+00 1.061393e+00 5.212118e-01 [136] 1.240181e+00 3.027151e-01 4.106316e-01 6.047950e-01 9.077336e-02 [141] 2.130185e+00 1.342665e+00 5.328532e-01 6.168365e-01 3.753867e-01 [146] 4.520355e-02 3.660671e-01 3.283383e-03 2.280396e-01 2.503297e-01 [151] 2.043004e-01 7.758858e-01 5.250996e-01 5.821600e-01 1.339959e-01 [156] 2.849625e-01 3.163330e-01 2.109563e-02 1.662860e-01 1.818311e-01 [161] 1.724953e-01 6.787830e-01 1.269663e-01 6.513547e-02 6.497088e-02 [166] 1.236981e-02 3.553217e-01 1.782251e-01 3.650708e-01 9.513327e-01 [171] 3.018713e-01 5.121515e-01 1.465260e-01 3.038426e-01 1.193171e-01 [176] 8.862104e-02 4.269455e-02 1.796116e-01 2.184253e-01 1.327962e-01 [181] 5.069700e-01 2.844242e-01 1.881106e-01 9.579219e-02 3.194851e-01 [186] 1.862339e-01 2.672221e-02 2.086895e-01 1.046000e+00 1.130890e-01 [191] 3.813874e-02 1.530447e-02 3.932718e-02 3.758141e-01 7.751524e-01 [196] 3.091241e-01 1.075093e-01 2.439664e-02 1.408754e-01 4.056228e-02 [201] 7.927746e-02 4.066378e-02 1.043292e-01 1.235874e-01 1.196173e-01 [206] 2.585743e-01 2.204956e-01 4.496965e-01 7.205569e-02 3.681667e-01 [211] 9.984974e-02 1.837968e-01 1.694333e-01 4.441351e-01 1.517487e-01 [216] 3.239029e-01 7.305973e-02 2.498411e-01 1.008528e-02 9.452101e-02 [221] 4.348182e-02 9.925452e-02 6.112479e-01 6.050405e-01 1.044407e+00 [226] 3.555066e-03 2.660841e-02 2.701476e-01 1.327189e-02 1.807133e-01 [231] 1.130306e+00 9.836345e-02 1.606215e-01 1.940481e-01 8.684520e-02 [236] 2.675911e-01 9.046678e-01 5.084898e-01 1.004806e-01 2.692438e-01 [241] 1.186256e+00 2.008007e-01 1.671952e-01 4.238403e-02 5.125013e-01 [246] 3.601151e-01 3.621737e-01 2.872614e-01 5.137966e-01 3.047951e-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/3mt161227988976.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/1o3o51227988976.ps tmp/1o3o51227988976.png") > system("convert tmp/2zetg1227988976.ps tmp/2zetg1227988976.png") > system("convert tmp/3mt161227988976.ps tmp/3mt161227988976.png") > > > proc.time() user system elapsed 1.058 0.730 1.217