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/rcomp/tmp/1s9s61227964960.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 0 -1 -2 -1 0 -1 -2 -3 -2 -1 0 -1 0 -1 [19] 0 -1 0 -1 -2 -1 0 -1 0 1 0 1 0 -1 0 1 0 -1 [37] 0 1 0 1 2 3 2 3 4 3 2 3 2 3 2 3 2 1 [55] 2 3 4 5 4 3 4 3 4 3 2 3 2 1 0 1 0 -1 [73] 0 1 2 3 2 3 2 1 2 3 2 3 4 3 4 3 4 3 [91] 2 3 2 3 2 1 0 1 2 3 4 3 4 5 6 5 4 5 [109] 6 5 4 5 6 5 6 5 6 5 4 3 2 1 2 1 2 3 [127] 2 1 2 1 2 3 4 3 2 3 4 5 4 3 4 5 6 7 [145] 6 7 6 7 6 7 8 7 8 9 8 7 8 7 6 7 8 7 [163] 6 5 4 3 4 5 4 3 2 3 4 3 2 1 2 3 2 1 [181] 0 -1 0 -1 -2 -3 -4 -5 -4 -3 -4 -3 -4 -5 -6 -5 -4 -3 [199] -2 -3 -4 -3 -4 -3 -4 -3 -4 -5 -4 -5 -6 -5 -4 -3 -2 -3 [217] -4 -3 -4 -3 -2 -3 -2 -3 -2 -1 0 -1 -2 -1 0 -1 0 1 [235] 2 1 0 1 0 -1 -2 -1 -2 -3 -2 -3 -4 -3 -2 -3 -4 -5 [253] -4 -5 -6 -7 -8 -9 -8 -7 -6 -5 -6 -5 -4 -3 -4 -3 -4 -3 [271] -4 -3 -4 -5 -4 -5 -6 -5 -6 -7 -8 -9 -8 -9 -8 -7 -6 -7 [289] -8 -9 -8 -7 -8 -9 -8 -9 -10 -11 -10 -11 -10 -9 -8 -7 -8 -7 [307] -8 -9 -10 -11 -12 -13 -12 -13 -14 -15 -16 -17 -16 -17 -18 -17 -18 -17 [325] -16 -17 -16 -15 -14 -15 -14 -15 -14 -13 -12 -13 -12 -13 -12 -13 -12 -11 [343] -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23 -22 -23 -24 -25 [361] -26 -27 -28 -29 -28 -27 -28 -29 -28 -29 -30 -31 -32 -31 -30 -29 -28 -27 [379] -26 -27 -26 -27 -28 -29 -28 -29 -30 -31 -30 -31 -32 -31 -32 -31 -30 -29 [397] -30 -31 -32 -33 -32 -31 -30 -31 -30 -29 -28 -29 -28 -29 -30 -31 -30 -29 [415] -30 -31 -32 -31 -30 -29 -30 -31 -30 -31 -32 -31 -30 -31 -32 -33 -34 -33 [433] -34 -33 -32 -31 -32 -31 -30 -31 -32 -31 -32 -33 -32 -31 -30 -31 -30 -29 [451] -28 -27 -28 -27 -26 -25 -26 -27 -26 -27 -28 -27 -26 -27 -26 -27 -26 -25 [469] -26 -25 -24 -23 -22 -23 -22 -23 -22 -21 -20 -19 -18 -17 -16 -15 -16 -17 [487] -18 -19 -18 -17 -18 -19 -18 -19 -18 -19 -20 -21 -20 -19 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2ghy51227964960.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] 4.745551e+03 6.752404e+02 1.575363e+03 1.539609e+02 1.066738e+02 [6] 2.717366e+02 5.072235e+00 2.871419e+02 1.072035e+02 2.731892e+01 [11] 5.244573e+01 2.439875e+01 9.656675e+01 9.166479e+01 7.018716e+01 [16] 2.173645e+01 3.959318e+00 1.644286e+00 5.078350e+00 1.320874e+01 [21] 1.209054e+00 2.402213e+01 3.982559e+00 1.247048e+00 2.246735e+00 [26] 8.151454e+00 2.244283e+01 7.875139e+00 3.403916e+00 1.965556e-01 [31] 1.157299e+00 3.737535e+00 6.627622e+00 1.568163e+01 1.575590e+00 [36] 2.657973e+00 7.084687e+00 5.909605e+00 4.320691e+00 4.331974e+00 [41] 1.257071e+00 1.269624e+00 2.128022e+00 3.933105e-01 1.219875e+00 [46] 8.454664e-02 4.302214e-02 3.033703e+00 2.532659e+00 3.884572e+00 [51] 5.899355e-01 3.862874e-02 4.691955e+00 6.798629e-02 1.144852e+00 [56] 5.154962e+00 1.151978e+00 2.487770e+00 2.525947e+00 1.594345e+00 [61] 1.016970e+00 1.374136e+00 7.547507e-01 9.832810e-01 7.089977e-01 [66] 2.705116e+00 4.259285e-01 2.789648e+00 1.251994e+00 1.575987e+00 [71] 6.269283e-02 1.052189e-01 3.464426e-01 1.795074e+00 2.995735e-01 [76] 8.128372e-02 3.024177e-01 2.113612e+00 1.517321e-01 2.366337e-01 [81] 4.007090e+00 2.870549e-01 3.305342e+00 2.346466e-01 2.893621e+00 [86] 1.946003e+00 1.303846e+00 8.296447e-03 2.074138e-01 2.016000e-02 [91] 2.700462e+00 2.686045e-01 1.133927e-01 1.486893e+00 4.621958e-01 [96] 1.116605e+00 1.173130e+00 1.692642e-01 6.925113e-01 3.881890e-01 [101] 4.092711e-01 3.440589e-01 6.283702e-01 1.418881e-01 8.048542e-01 [106] 6.418244e-01 2.028810e+00 2.720648e-01 1.609826e-01 2.809840e-01 [111] 3.676635e-01 5.833141e-01 2.353090e-01 1.057111e+00 3.263770e-01 [116] 1.108815e-01 3.189922e-01 1.220852e+00 7.760678e-02 4.387333e-02 [121] 6.089350e-01 2.094097e+00 8.073246e-01 1.229928e+00 1.312528e+00 [126] 6.361783e-01 2.981145e-01 2.895715e-01 9.600557e-01 2.822685e-01 [131] 2.660256e-01 9.782082e-01 2.677066e-02 1.310795e+00 2.974575e-01 [136] 9.822914e-02 1.023019e+00 1.440117e-01 6.774714e-02 1.104611e+00 [141] 7.661531e-01 5.925638e-01 9.374617e-01 4.561833e-01 5.510619e-01 [146] 1.380588e-02 8.777770e-01 2.990067e-01 4.507782e-01 8.443884e-01 [151] 4.593567e-01 3.737172e-01 3.488655e-01 3.371504e-01 5.045937e-02 [156] 5.028971e-01 3.535830e-02 1.612643e+00 1.386462e-01 7.528191e-02 [161] 2.884782e-02 1.100954e-01 5.012849e-01 7.836228e-02 1.513580e-01 [166] 1.737067e-01 4.719881e-01 8.044262e-01 4.082735e-01 3.747241e-01 [171] 3.340608e-01 2.879701e-01 3.278433e-01 5.742586e-02 2.266051e-01 [176] 3.010298e-01 3.301919e-01 2.608173e-01 1.408159e-01 7.342412e-01 [181] 1.637247e-01 3.241078e-01 2.154789e-01 3.160227e-01 7.310851e-03 [186] 4.542536e-02 1.405232e-01 1.303243e-01 1.323190e-01 2.627953e-01 [191] 6.064825e-01 7.954841e-01 5.755500e-01 3.413551e-01 8.720244e-02 [196] 1.798629e-01 5.779848e-02 3.561219e-01 4.141154e-01 3.557107e-02 [201] 1.968093e-01 1.908692e-01 2.333345e-02 1.450266e-01 3.147612e-01 [206] 2.708499e-01 4.597883e-02 3.357526e-01 1.018340e-01 5.903078e-01 [211] 3.369485e-03 3.361500e-01 8.035540e-01 5.301936e-01 4.340457e-01 [216] 9.827312e-02 1.065357e-01 1.341585e-01 2.210272e-01 1.647226e-02 [221] 2.181793e-02 4.218342e-01 1.256024e-01 3.249607e-01 1.497266e-01 [226] 1.611372e-01 4.592053e-01 5.962262e-01 1.386539e-01 6.046912e-01 [231] 5.008911e-02 1.157282e-01 9.580340e-03 4.284236e-01 2.842077e-01 [236] 1.062142e-01 3.176544e-01 2.836445e-01 1.598020e-01 1.682410e-01 [241] 9.263154e-01 1.228505e-01 1.375067e-01 3.408318e-02 1.419549e-01 [246] 3.622188e-01 2.157325e-01 3.286577e-01 3.240027e-01 2.762927e-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/rcomp/tmp/3wqia1227964960.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/1s9s61227964960.ps tmp/1s9s61227964960.png") > system("convert tmp/2ghy51227964960.ps tmp/2ghy51227964960.png") > system("convert tmp/3wqia1227964960.ps tmp/3wqia1227964960.png") > > > proc.time() user system elapsed 0.803 0.601 0.940