R version 2.8.0 (2008-10-20) Copyright (C) 2008 The R Foundation for Statistical Computing ISBN 3-900051-07-0 R is free software and comes with ABSOLUTELY NO WARRANTY. You are welcome to redistribute it under certain conditions. Type 'license()' or 'licence()' for distribution details. R is a collaborative project with many contributors. Type 'contributors()' for more information and 'citation()' on how to cite R or R packages in publications. Type 'demo()' for some demos, 'help()' for on-line help, or 'help.start()' for an HTML browser interface to help. 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/1bhmg1228227623.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 -1 0 1 0 1 0 -1 0 1 0 1 [19] 0 -1 0 -1 0 -1 0 1 2 3 4 3 4 5 4 3 4 3 [37] 2 3 4 5 4 5 4 3 4 5 4 3 4 5 6 7 6 7 [55] 6 7 8 9 10 11 10 9 10 11 12 13 12 13 12 13 12 11 [73] 10 9 8 7 6 5 4 3 2 1 2 3 2 3 2 1 0 1 [91] 0 1 2 1 2 3 4 5 4 3 2 3 4 3 2 1 2 3 [109] 4 5 6 7 6 5 4 3 2 3 2 1 0 1 2 1 2 3 [127] 4 5 4 3 4 3 4 5 4 3 2 1 0 1 2 3 2 1 [145] 0 -1 -2 -3 -2 -3 -4 -5 -6 -7 -8 -9 -10 -9 -10 -9 -10 -9 [163] -10 -11 -10 -11 -10 -9 -10 -9 -8 -9 -10 -9 -10 -11 -10 -9 -8 -7 [181] -6 -5 -4 -3 -2 -1 0 -1 -2 -3 -4 -3 -4 -3 -4 -5 -4 -5 [199] -6 -5 -4 -3 -2 -3 -2 -1 -2 -1 0 -1 -2 -1 -2 -3 -2 -3 [217] -4 -5 -4 -5 -6 -5 -6 -7 -8 -9 -10 -11 -12 -13 -12 -13 -14 -13 [235] -12 -11 -12 -13 -12 -11 -12 -13 -14 -15 -16 -15 -14 -15 -16 -17 -18 -19 [253] -20 -21 -22 -21 -22 -23 -22 -21 -22 -23 -24 -25 -26 -25 -24 -25 -24 -23 [271] -22 -21 -22 -23 -24 -23 -22 -21 -22 -21 -20 -19 -18 -19 -18 -17 -18 -17 [289] -18 -19 -18 -19 -20 -19 -20 -19 -18 -19 -20 -21 -22 -23 -22 -23 -22 -23 [307] -22 -23 -22 -23 -22 -23 -22 -23 -22 -21 -22 -23 -24 -23 -24 -25 -26 -27 [325] -26 -25 -24 -23 -22 -21 -20 -21 -22 -23 -22 -21 -22 -21 -22 -21 -20 -21 [343] -20 -19 -18 -19 -18 -19 -18 -17 -16 -17 -18 -19 -20 -21 -20 -21 -22 -23 [361] -24 -25 -26 -27 -28 -27 -26 -25 -26 -25 -26 -27 -26 -27 -28 -27 -26 -25 [379] -26 -25 -24 -25 -26 -27 -26 -27 -28 -27 -28 -27 -26 -27 -28 -29 -28 -27 [397] -26 -25 -24 -25 -24 -23 -22 -21 -22 -23 -24 -23 -24 -23 -22 -23 -22 -21 [415] -20 -21 -22 -21 -22 -21 -22 -23 -24 -23 -24 -23 -22 -23 -22 -21 -22 -21 [433] -22 -21 -22 -23 -24 -25 -26 -25 -24 -23 -24 -25 -26 -25 -24 -23 -24 -25 [451] -26 -27 -28 -29 -30 -29 -30 -31 -32 -33 -34 -33 -32 -33 -32 -31 -30 -31 [469] -30 -29 -30 -31 -32 -31 -30 -29 -28 -27 -26 -25 -24 -23 -24 -25 -26 -27 [487] -26 -25 -26 -25 -26 -25 -26 -25 -24 -25 -24 -25 -24 -25 > x <- b > postscript(file="/var/www/html/freestat/rcomp/tmp/2ea901228227623.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] 1.567002e+03 6.357314e+02 2.370000e+02 7.408256e+02 3.967761e+02 [6] 1.141697e+02 1.000571e+03 4.757831e+01 1.500871e+02 5.055508e+01 [11] 6.120854e+01 4.261681e+01 7.469865e+01 7.252072e+01 7.106290e+01 [16] 5.571163e+01 1.419685e+01 1.298984e+01 1.891469e+01 3.117450e+00 [21] 3.393881e+01 2.180505e+00 5.416998e+00 1.876581e+00 1.944272e+01 [26] 8.138099e+00 2.098100e+01 1.513775e+01 1.751374e+00 1.875783e+01 [31] 1.183869e+01 1.141289e+00 1.155841e+01 4.366400e+00 1.324088e+01 [36] 3.156038e+00 4.025293e+00 7.753139e-01 5.600430e+00 2.112221e+00 [41] 1.335252e+01 9.559322e-01 6.291498e+00 7.684545e-01 1.590899e+00 [46] 5.963981e+00 5.019581e-01 3.120438e+00 2.051441e+00 5.636537e+00 [51] 2.596694e+00 6.114316e-01 2.381837e-01 9.205941e-01 5.860743e+00 [56] 2.310322e-01 3.529897e-01 1.206253e+00 5.418752e+00 1.333657e+00 [61] 2.069528e-01 2.455167e+00 1.913234e-01 2.913682e-01 2.793842e+00 [66] 2.331910e+00 7.414521e+00 9.744631e-01 4.801945e-01 7.823995e-01 [71] 3.282628e-01 7.215059e-01 1.839887e+00 1.170889e+00 1.386029e-01 [76] 5.590143e-02 5.077550e+00 1.229986e+00 5.996116e-01 4.079275e+00 [81] 4.795168e-02 3.027828e-01 8.119441e-01 1.152922e+00 2.911782e-01 [86] 3.015140e-02 1.962091e+00 6.768163e-01 2.506354e-02 1.322405e+00 [91] 4.701586e-01 3.046985e-01 2.567389e-02 2.386139e+00 1.886497e+00 [96] 2.988014e-01 3.967602e-01 5.258141e-01 4.975821e-01 1.974752e+00 [101] 1.660940e+00 5.128938e-01 6.381710e-01 2.368889e-01 2.659265e-01 [106] 2.369903e+00 5.029232e-01 3.059580e-01 9.423409e-02 1.297425e-01 [111] 3.570558e-01 2.732338e-01 1.583976e-02 1.167985e-01 4.081349e-02 [116] 4.021865e-01 6.590275e-01 1.900961e-01 3.201198e-01 2.149735e-01 [121] 7.439570e-02 1.257896e-01 6.495363e-01 3.925914e-01 5.288601e-01 [126] 7.968343e-02 8.056317e-02 4.522830e-01 1.490095e-01 4.713452e-01 [131] 4.160522e-01 6.551769e-01 5.368451e-01 4.839664e-01 2.495337e-01 [136] 6.830083e-01 9.608227e-02 2.335131e-01 3.696402e-01 3.017367e-01 [141] 1.913107e-02 1.714144e-01 4.068245e-02 4.038297e-01 1.066683e+00 [146] 2.406315e-01 4.421542e-01 1.256858e+00 3.721139e-01 5.239630e-02 [151] 2.483394e-01 3.469082e-01 1.687461e-01 3.228938e-01 2.108770e-01 [156] 5.852370e-01 1.754931e-01 1.227641e+00 2.168662e+00 1.951411e-01 [161] 8.778572e-02 4.040144e-02 4.849600e-02 1.974744e-01 1.222402e-02 [166] 6.908873e-01 1.474595e-01 2.752909e-01 1.677774e-01 1.074861e-01 [171] 6.602550e-01 7.104234e-02 1.669831e-01 1.455085e-01 4.110010e-01 [176] 5.908478e-01 7.217302e-02 2.761259e-02 3.024090e-02 3.317373e-02 [181] 1.715536e+00 3.155839e-01 1.356006e-01 4.213050e-01 9.889739e-02 [186] 2.419039e-01 2.450548e-01 6.723259e-01 1.342769e-02 2.807251e-01 [191] 5.949170e-01 7.277842e-02 4.117538e-02 1.090639e-01 1.780310e-01 [196] 1.058855e-01 4.109707e-02 2.510941e-01 5.225123e-02 2.858242e-01 [201] 2.291878e-01 1.095144e+00 9.742518e-02 4.625550e-02 9.627565e-02 [206] 1.168903e-01 8.464580e-02 3.507525e-01 6.737786e-02 3.546367e-02 [211] 1.138792e-01 5.978137e-01 1.613755e-01 6.569655e-01 2.964822e-03 [216] 3.321810e-01 1.976474e-01 1.895964e-01 1.295291e-01 7.521270e-01 [221] 1.619219e-01 6.856229e-01 5.996811e-03 5.385928e-02 3.642774e-01 [226] 1.473333e-01 1.193691e-01 5.024088e-01 6.039294e-03 2.542354e-01 [231] 1.192818e-01 4.815786e-02 5.624845e-04 3.731815e-02 5.935349e-02 [236] 1.505157e-01 1.049755e-01 3.970632e-01 3.368219e-01 1.110622e-01 [241] 2.699810e-01 3.827851e-02 1.086898e-01 1.184810e-01 2.604882e-01 [246] 9.994881e-02 5.139406e-01 1.568260e-01 3.206647e-01 3.278117e-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/3z0b51228227623.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/1bhmg1228227623.ps tmp/1bhmg1228227623.png") > system("convert tmp/2ea901228227623.ps tmp/2ea901228227623.png") > system("convert tmp/3z0b51228227623.ps tmp/3z0b51228227623.png") > > > proc.time() user system elapsed 1.061 0.734 1.186