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. > 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/rcomp/tmp/14grq1228136167.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 -3 -2 -3 -4 -3 -2 -1 0 -1 -2 -1 [19] -2 -3 -2 -1 0 -1 0 -1 0 1 0 -1 -2 -3 -4 -5 -6 -5 [37] -6 -5 -6 -5 -4 -5 -4 -5 -4 -5 -6 -7 -6 -7 -6 -7 -6 -5 [55] -6 -7 -6 -7 -8 -7 -6 -5 -4 -3 -2 -1 0 1 0 1 0 -1 [73] 0 -1 -2 -3 -4 -5 -4 -5 -4 -5 -4 -3 -2 -3 -2 -1 0 1 [91] 2 3 4 3 4 3 2 1 0 1 0 -1 -2 -3 -2 -1 0 1 [109] 2 3 4 3 4 5 4 3 2 1 0 -1 -2 -3 -2 -1 0 -1 [127] 0 -1 0 -1 0 1 0 1 2 3 2 1 2 1 0 1 0 1 [145] 0 -1 -2 -1 0 1 0 1 0 -1 0 1 0 1 2 3 4 5 [163] 4 5 4 3 2 1 0 -1 -2 -1 -2 -1 -2 -3 -2 -3 -4 -3 [181] -4 -3 -4 -5 -6 -5 -6 -7 -8 -9 -8 -9 -8 -9 -10 -11 -12 -13 [199] -12 -13 -12 -11 -12 -11 -10 -11 -12 -11 -12 -11 -10 -11 -10 -9 -10 -9 [217] -10 -11 -10 -9 -10 -9 -8 -7 -8 -7 -6 -7 -8 -7 -8 -7 -8 -9 [235] -10 -11 -10 -9 -8 -7 -6 -7 -8 -9 -8 -9 -8 -9 -8 -9 -10 -9 [253] -10 -9 -10 -11 -10 -9 -10 -11 -12 -13 -12 -13 -12 -11 -12 -13 -14 -13 [271] -12 -13 -14 -13 -12 -11 -10 -11 -10 -9 -8 -7 -8 -9 -8 -7 -8 -9 [289] -8 -9 -8 -9 -10 -11 -12 -13 -14 -15 -14 -13 -14 -13 -12 -11 -12 -11 [307] -12 -11 -10 -11 -10 -11 -10 -9 -10 -11 -12 -13 -14 -15 -16 -17 -16 -15 [325] -16 -15 -16 -15 -16 -15 -14 -13 -14 -13 -14 -15 -16 -15 -16 -15 -14 -15 [343] -14 -15 -14 -15 -16 -17 -16 -15 -16 -17 -18 -19 -20 -21 -20 -21 -22 -21 [361] -22 -21 -20 -19 -18 -19 -18 -19 -18 -19 -18 -19 -18 -19 -18 -19 -20 -19 [379] -18 -17 -16 -15 -14 -13 -14 -13 -12 -11 -12 -11 -10 -11 -12 -13 -14 -15 [397] -14 -15 -16 -15 -14 -13 -12 -13 -12 -11 -12 -11 -10 -11 -12 -13 -14 -15 [415] -14 -13 -12 -11 -10 -9 -8 -7 -8 -7 -6 -7 -6 -7 -6 -7 -6 -5 [433] -4 -3 -2 -1 0 -1 0 -1 -2 -3 -4 -5 -4 -3 -2 -3 -4 -5 [451] -6 -7 -6 -5 -6 -5 -6 -5 -4 -3 -2 -1 -2 -1 0 -1 -2 -3 [469] -4 -3 -4 -3 -4 -3 -2 -1 -2 -1 -2 -3 -2 -3 -2 -3 -4 -5 [487] -6 -7 -6 -7 -6 -5 -6 -5 -4 -3 -2 -1 -2 -1 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2t30w1228136167.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] 2.651566e+03 9.473204e+02 2.051109e+03 7.670513e+01 6.585030e+01 [6] 3.934943e+01 2.974879e+02 2.787849e+01 9.122907e+01 5.017186e+01 [11] 8.179352e+01 2.287024e+01 4.525174e+00 3.763701e+01 2.175596e+00 [16] 7.147808e+01 2.236037e+01 8.053285e+00 1.372575e+01 7.814611e+01 [21] 3.092783e+01 5.367991e+01 5.917396e+01 1.103261e+01 3.203242e+01 [26] 1.200242e+01 3.835905e+01 9.232105e+00 1.224836e+01 3.609614e+00 [31] 7.871908e+00 2.257310e-01 8.623085e+00 1.206313e+01 3.675555e+00 [36] 1.457803e+00 1.629620e+01 1.016089e+01 5.668280e+00 5.826900e+00 [41] 5.626297e-01 4.766083e+00 1.078246e+00 2.659705e-02 1.469132e+00 [46] 1.930024e+00 1.186882e+00 8.948885e-01 2.375053e-01 3.872909e+00 [51] 3.048306e+00 1.067827e+00 6.846672e+00 2.080614e+00 1.027191e+00 [56] 3.868536e+00 6.457908e-01 3.279098e+00 3.760600e-01 3.405964e+00 [61] 2.381772e+00 6.421538e-01 4.511994e-02 5.974848e-01 8.672486e-01 [66] 1.031839e+00 1.028891e+00 1.200868e+00 8.131136e-01 3.897540e-01 [71] 3.293102e-01 4.742960e-01 3.152056e-01 1.983545e-01 2.278542e-01 [76] 8.909266e-01 1.052079e+00 4.815524e-01 2.338672e+00 1.661151e-01 [81] 1.510055e-01 1.600693e+00 8.150383e-01 5.680775e-01 9.287099e-02 [86] 4.531474e-01 8.060522e-01 7.715741e-01 3.486510e-01 3.828418e-01 [91] 1.324713e+00 1.389535e+00 1.221149e-01 8.154951e-02 3.801204e-01 [96] 4.114965e-01 7.174660e-02 4.229034e-01 1.657151e-01 8.355474e-01 [101] 9.858973e-03 3.522427e-01 1.055749e+00 3.315438e-01 1.604735e-01 [106] 8.602867e-01 1.022305e+00 8.810991e-01 2.432008e-01 7.287685e-01 [111] 4.356230e-01 5.782401e-01 2.142140e-02 6.026664e-02 1.452492e+00 [116] 2.136362e-02 6.613964e-01 5.128953e-01 8.095412e-01 5.446447e-01 [121] 2.019218e-01 1.659306e-01 2.865178e-01 6.461515e-02 4.953110e-02 [126] 5.010261e-01 2.470479e-01 1.043230e-01 1.059021e-01 3.763197e-02 [131] 4.538611e-02 8.325636e-01 1.876300e-01 1.071036e+00 5.147066e-01 [136] 2.532541e-02 6.461906e-01 4.307427e-01 1.799544e-01 3.202674e-01 [141] 4.332096e-01 4.811601e-01 6.149731e-01 1.014346e-01 1.609986e-03 [146] 5.563640e-01 2.084837e-01 2.893345e-01 6.531247e-02 3.751376e-02 [151] 1.705019e-02 1.304196e-01 5.023708e-01 2.287248e-01 2.168705e-02 [156] 4.274598e-02 1.812478e-01 1.852966e-02 9.906159e-01 7.655431e-02 [161] 1.012432e+00 7.621046e-01 1.229637e-01 6.198215e-01 2.680715e-02 [166] 3.438109e-01 2.862268e-01 1.801158e-01 2.897790e-01 2.509002e-01 [171] 4.579306e-03 4.206132e-02 5.577581e-01 6.756617e-01 3.611579e-01 [176] 2.376611e-01 2.367396e-01 2.280353e-02 1.050921e+00 1.747462e-01 [181] 9.797166e-01 1.378772e+00 6.849136e-01 1.529584e-01 4.702395e-01 [186] 2.270552e-01 7.163400e-01 4.941218e-01 4.713127e-02 6.427390e-02 [191] 1.588779e-01 8.498727e-03 4.018746e-01 3.062789e-01 5.103079e-01 [196] 6.567611e-02 1.143317e-01 2.443226e-01 8.670340e-02 3.082648e-02 [201] 2.400074e-01 6.152835e-01 5.286816e-01 5.651169e-01 9.314983e-02 [206] 2.277989e-01 1.807651e-01 1.035327e+00 2.320668e-01 5.901652e-02 [211] 4.323341e-03 9.191848e-03 2.860796e-01 2.176402e-01 3.926881e-02 [216] 1.196603e-02 2.350044e-01 2.628567e-01 1.227737e-01 9.175641e-01 [221] 1.023351e-01 1.968756e-02 1.437321e-01 2.006361e-01 1.359544e-01 [226] 2.418042e-02 2.609424e-01 5.195954e-02 3.999832e-01 6.719695e-01 [231] 8.857250e-01 1.467051e-01 9.663558e-01 1.634473e-01 1.388048e-01 [236] 4.409537e-01 7.835596e-01 1.752908e-01 1.337034e-02 2.577350e-01 [241] 2.244717e-01 6.825447e-01 2.241049e-01 6.264628e-01 2.118479e-02 [246] 2.818657e-02 8.925600e-01 2.603132e-01 2.341516e-01 6.959165e-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/3wpnb1228136167.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/14grq1228136167.ps tmp/14grq1228136167.png") > system("convert tmp/2t30w1228136167.ps tmp/2t30w1228136167.png") > system("convert tmp/3wpnb1228136167.ps tmp/3wpnb1228136167.png") > > > proc.time() user system elapsed 0.809 0.603 1.007