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/174cf1228222102.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 1 2 1 0 1 2 3 2 3 2 3 2 1 0 1 0 -1 0 1 0 [26] -1 -2 -1 0 1 0 -1 0 1 2 1 2 3 2 1 2 3 2 1 2 1 2 1 2 3 [51] 2 3 4 3 4 3 4 3 2 1 0 -1 0 -1 0 -1 -2 -1 -2 -1 -2 -1 0 1 2 [76] 3 4 5 4 5 6 7 8 7 6 7 6 5 6 7 6 5 6 5 4 3 2 3 4 3 [101] 4 3 2 1 0 1 2 3 4 3 4 3 4 5 4 3 2 3 2 1 2 3 4 5 4 [126] 5 4 3 2 1 2 3 4 3 4 3 4 3 4 5 6 5 4 3 2 1 0 1 0 1 [151] 0 -1 0 1 0 1 2 1 2 1 0 -1 -2 -1 0 -1 -2 -1 -2 -1 0 -1 -2 -3 -4 [176] -3 -4 -5 -6 -5 -4 -3 -2 -3 -2 -1 0 -1 -2 -3 -4 -3 -4 -5 -6 -5 -4 -3 -4 -5 [201] -4 -5 -6 -5 -4 -3 -4 -3 -2 -3 -4 -5 -6 -7 -6 -5 -4 -3 -4 -5 -4 -3 -2 -1 0 [226] 1 2 3 2 1 2 1 0 1 0 1 2 3 4 3 2 1 2 1 0 1 0 -1 0 1 [251] 0 -1 0 -1 0 1 0 1 2 1 0 1 2 3 4 5 4 5 4 5 4 3 4 3 2 [276] 1 0 -1 0 1 0 -1 0 1 0 1 2 1 2 1 0 1 0 -1 0 1 2 1 0 -1 [301] 0 -1 -2 -3 -2 -1 -2 -3 -4 -3 -2 -3 -2 -3 -2 -3 -2 -3 -4 -3 -4 -3 -2 -3 -2 [326] -3 -2 -3 -2 -3 -4 -3 -4 -3 -2 -1 0 1 0 1 0 1 0 -1 -2 -3 -2 -3 -4 -3 [351] -2 -1 -2 -3 -2 -1 0 -1 0 -1 -2 -1 0 -1 -2 -1 0 -1 -2 -1 -2 -1 -2 -3 -4 [376] -5 -4 -3 -2 -1 -2 -1 -2 -1 0 -1 -2 -1 -2 -1 0 1 2 3 4 5 4 3 4 3 [401] 2 3 2 1 2 1 0 1 2 3 4 5 6 7 8 9 8 7 6 5 4 5 4 3 2 [426] 1 0 1 2 3 4 5 6 5 6 5 4 3 2 1 0 1 0 1 2 3 4 5 4 5 [451] 4 3 2 1 0 -1 0 -1 0 -1 0 -1 -2 -3 -4 -3 -2 -3 -2 -3 -2 -3 -2 -1 0 [476] 1 2 1 2 1 0 1 0 -1 0 -1 -2 -1 -2 -3 -2 -1 0 -1 0 1 2 1 0 -1 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2ag7o1228222102.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] 2.805491e+02 4.361781e+01 8.521846e+02 1.495152e+02 4.086612e+01 [6] 8.130478e+01 2.067705e+01 2.651780e+01 4.557932e+00 5.619064e+01 [11] 5.662175e+01 2.811739e-01 1.325044e+01 8.772203e+01 2.863835e+00 [16] 5.103251e+01 4.442696e+00 1.704271e+01 4.100223e+01 1.870325e+01 [21] 6.759061e+00 6.716835e+00 5.185412e+00 3.318970e+01 6.293707e+00 [26] 2.447688e+01 2.324276e+01 1.214645e+01 1.905959e+01 1.604904e+00 [31] 3.214544e+01 2.233008e+00 1.443353e+01 1.292352e+01 1.509247e+01 [36] 1.300203e+01 4.548822e+00 7.331005e+00 9.858688e-01 2.232941e+00 [41] 3.199740e-01 3.892444e+00 4.108255e+00 1.072922e-01 1.087179e+00 [46] 7.735199e+00 4.335397e-01 3.579393e+00 2.231989e+00 1.070068e+00 [51] 3.277912e+00 5.388214e+00 9.967506e-01 7.371577e-01 3.017407e-01 [56] 2.677931e+00 1.054531e+00 1.196690e+00 1.513134e+00 5.025898e+00 [61] 6.670205e+00 2.697329e-01 9.351110e-01 2.222678e+00 1.984183e-01 [66] 2.393791e-01 1.935596e+00 1.051819e+00 6.569962e-01 1.881158e+00 [71] 5.765171e-01 9.264323e-01 8.566133e-02 4.636617e-01 9.332145e-01 [76] 1.307455e+00 2.942425e-01 1.460578e+00 7.087938e-01 1.268130e-01 [81] 9.412399e-01 6.462707e-04 3.401462e-01 1.063168e-01 6.291154e-01 [86] 1.335641e+00 4.244760e-01 1.278074e+00 2.659495e+00 2.509409e-02 [91] 1.172142e+00 1.068623e+00 4.885608e-02 2.385759e-01 3.126494e-01 [96] 4.035314e+00 1.727869e+00 2.731879e-02 2.291320e-01 5.985650e-01 [101] 5.269295e-01 4.086372e-01 4.076761e-01 2.286940e-01 3.263408e-02 [106] 7.605352e-01 3.588438e-01 7.407105e-01 1.534281e+00 5.786213e-01 [111] 1.014168e-01 8.422106e-01 2.545396e-01 6.511876e-01 3.108944e-01 [116] 4.101564e-01 2.898367e-01 5.196903e-01 1.779916e-01 4.821038e-01 [121] 2.040542e+00 4.434121e-01 3.456905e-01 4.135018e-01 4.458364e-01 [126] 1.012977e+00 6.549978e-02 1.841586e-01 2.104436e-01 4.096659e-02 [131] 3.032713e-01 6.057062e-01 2.807648e-01 1.161868e+00 1.001705e-01 [136] 1.783032e-01 5.130176e-01 1.227654e-01 7.608691e-01 7.195155e-02 [141] 2.149158e-01 7.406132e-02 4.328680e-01 3.898778e-01 3.440711e-01 [146] 3.750398e-03 9.580359e-01 3.570738e-01 5.970414e-02 4.014066e-01 [151] 6.364726e-01 3.091408e-01 7.278288e-02 1.187725e-01 9.856560e-01 [156] 1.933006e-01 2.169921e-01 1.784799e-02 7.347126e-01 8.810116e-02 [161] 3.902630e-01 3.041327e-01 1.480221e+00 4.231160e-01 1.180250e+00 [166] 7.402159e-01 6.180496e-02 1.219051e-01 3.713909e-01 1.650927e-01 [171] 3.904625e-01 3.154001e-02 5.334041e-01 4.002135e-02 1.726960e-01 [176] 2.022078e-01 6.780551e-01 1.271488e-01 3.884225e-01 2.102445e-01 [181] 9.791476e-01 1.878998e-01 9.056084e-02 3.403576e-02 2.173782e-02 [186] 2.120175e-01 3.373405e-01 2.848984e-01 5.766252e-02 5.526128e-02 [191] 2.984743e-02 4.584440e-01 1.056765e-01 3.300100e-01 4.025089e-01 [196] 3.813125e-01 1.008550e+00 2.355305e-01 1.012611e+00 2.395212e-01 [201] 8.177196e-01 6.525437e-01 1.291587e-01 6.559604e-01 2.656743e-01 [206] 3.986344e-02 8.465983e-02 4.945900e-01 3.251466e-01 3.563606e-01 [211] 6.862476e-01 1.669633e-01 9.517861e-03 1.261460e-01 4.463825e-01 [216] 4.430246e-01 7.450476e-02 2.754396e-01 8.521987e-02 1.308350e-01 [221] 5.257369e-02 4.373666e-01 2.342652e-02 1.485464e-02 3.691058e-01 [226] 9.810060e-02 4.813670e-02 2.369696e-01 2.395262e-01 5.509590e-01 [231] 4.115486e-01 3.780133e-01 9.303172e-02 4.310953e-02 1.374725e-01 [236] 4.348599e-01 4.723945e-01 1.604917e-01 3.696774e-01 2.210362e-01 [241] 9.508836e-02 2.241293e-01 1.117585e-01 4.635712e-01 6.555507e-02 [246] 9.447956e-02 2.342134e-01 2.389741e-01 6.035078e-02 2.395324e-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/39e2s1228222102.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/174cf1228222102.ps tmp/174cf1228222102.png") > system("convert tmp/2ag7o1228222102.ps tmp/2ag7o1228222102.png") > system("convert tmp/39e2s1228222102.ps tmp/39e2s1228222102.png") > > > proc.time() user system elapsed 0.816 0.600 0.958