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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/rcomp/tmp/1v4xc1228126330.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 3 4 3 2 3 2 1 2 3 4 5 4 5 6 7 [19] 6 5 6 7 8 9 8 9 10 9 10 9 10 11 10 11 10 9 [37] 10 9 10 11 12 13 12 13 12 11 12 11 12 13 12 11 10 9 [55] 10 11 12 13 14 15 14 15 16 17 16 17 18 17 16 17 16 17 [73] 16 17 16 15 16 15 16 17 16 15 16 15 16 17 16 15 16 17 [91] 18 17 18 19 18 17 16 17 16 17 16 15 14 15 14 13 12 13 [109] 12 11 10 11 10 9 8 9 8 7 6 5 4 5 4 3 4 3 [127] 4 5 6 5 4 5 6 7 6 5 6 5 6 5 4 5 6 7 [145] 6 7 6 7 8 9 8 9 8 7 6 7 6 5 6 7 6 5 [163] 4 3 4 5 6 7 6 5 6 5 4 5 6 7 6 7 8 9 [181] 10 11 12 13 14 15 16 15 16 15 14 13 14 15 16 15 16 17 [199] 18 17 18 19 18 19 20 19 18 17 18 17 16 17 18 19 20 19 [217] 18 19 18 17 18 17 16 15 14 13 14 13 14 13 14 15 14 13 [235] 14 13 14 15 14 15 14 15 14 15 16 17 18 19 18 17 16 15 [253] 14 15 16 15 14 13 14 15 16 17 16 15 16 17 18 19 18 19 [271] 20 19 18 17 16 15 16 15 16 15 14 13 12 13 14 15 16 17 [289] 16 17 16 17 18 19 20 19 20 19 20 19 18 19 18 17 16 17 [307] 16 17 18 19 18 17 16 17 16 17 18 17 16 15 14 13 12 13 [325] 12 13 14 15 14 15 16 15 14 13 14 13 12 13 12 11 10 11 [343] 10 9 10 11 10 11 12 11 10 9 8 7 6 5 6 7 6 7 [361] 6 5 6 5 6 5 4 3 2 1 2 1 0 1 2 1 0 -1 [379] -2 -3 -4 -3 -2 -1 -2 -3 -4 -5 -4 -3 -2 -1 0 1 2 1 [397] 2 1 0 -1 0 1 2 3 4 3 4 5 4 3 2 3 4 5 [415] 6 5 6 7 6 5 4 3 2 3 4 3 4 3 4 5 4 5 [433] 4 5 4 3 2 1 0 -1 -2 -3 -4 -3 -4 -3 -2 -3 -4 -5 [451] -6 -7 -8 -9 -8 -9 -8 -9 -10 -9 -10 -9 -8 -9 -10 -9 -10 -11 [469] -12 -13 -14 -13 -14 -15 -14 -15 -16 -15 -16 -15 -14 -13 -12 -11 -10 -11 [487] -10 -9 -10 -11 -12 -11 -10 -11 -10 -9 -10 -11 -10 -9 > x <- b > postscript(file="/var/www/html/rcomp/tmp/2ch801228126330.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] 4.854156e+03 2.050388e+03 2.830786e+02 6.833504e+02 8.079041e+02 [6] 5.116644e+02 4.008012e+02 1.136072e+00 1.621666e+02 1.017000e+02 [11] 2.578838e+00 2.113101e+01 2.825809e+01 5.615782e+00 2.047011e+01 [16] 1.511963e+01 2.628200e+01 2.795347e+01 6.672955e+00 1.685324e+01 [21] 6.052387e+00 1.265612e+01 1.295603e+01 1.101753e+01 1.247387e+01 [26] 4.575390e+00 3.611934e+00 1.931273e+01 2.432193e+00 3.939175e+01 [31] 1.123803e+01 6.337356e+00 1.918461e-01 7.142532e+00 1.274702e+01 [36] 1.707214e+00 3.098063e+00 1.734399e+00 5.449322e-03 1.605914e+00 [41] 1.004991e+00 9.015610e-02 1.089509e+00 2.477004e+00 7.427579e+00 [46] 3.584781e+00 4.834459e+00 6.252173e+00 5.012905e-02 4.034555e+00 [51] 7.366964e+00 3.373110e+00 1.445407e+00 1.560090e+00 2.992198e+00 [56] 2.723676e+00 4.045889e-02 4.824944e+00 3.554612e+00 1.041048e+00 [61] 2.030816e+00 4.893911e+00 7.021949e+00 3.369317e+00 5.078821e-01 [66] 3.140924e-01 1.287397e+00 1.643698e+00 2.107093e+00 2.058679e-01 [71] 4.863539e-02 1.105418e+00 9.095793e-01 1.816743e+00 2.205416e-01 [76] 6.302685e-01 1.368338e+00 1.829399e-01 1.465012e-01 2.927316e-01 [81] 1.308467e+00 1.435053e+00 3.611817e-01 3.112376e-01 7.634807e-01 [86] 1.251249e+00 3.844242e-02 2.497707e-01 2.981032e-01 6.906285e-01 [91] 4.570793e+00 4.753807e-02 1.784480e+00 3.042338e-01 2.774497e-01 [96] 3.204708e-01 8.321509e-02 4.597506e-01 2.442196e-01 2.930490e-01 [101] 9.648474e-03 7.839916e-01 2.363793e-01 1.626591e-01 2.466322e+00 [106] 8.028888e-01 1.661708e-01 5.695569e-02 7.337848e-02 6.570015e-01 [111] 4.881564e-02 9.753645e-01 6.063672e-01 3.066367e-01 3.277642e-02 [116] 7.138309e-01 1.282163e-01 5.697121e-01 8.442534e-02 5.024079e-01 [121] 1.368985e-01 9.707631e-02 1.207049e-01 3.705385e-01 3.565877e-01 [126] 1.281467e-01 1.555175e-01 1.622831e-01 5.189852e-01 1.582381e+00 [131] 1.988456e-01 2.698530e-01 6.970074e-01 8.903198e-01 1.127335e+00 [136] 1.974383e-01 1.149880e+00 1.159176e+00 6.669922e-01 8.487019e-02 [141] 3.323892e-01 2.064915e-01 7.888376e-01 4.152521e-01 5.340453e-01 [146] 3.926157e-01 7.569849e-02 1.547936e-01 7.456047e-02 1.838868e-01 [151] 1.541416e+00 6.214601e-01 9.412298e-01 4.341302e-01 2.072401e-01 [156] 1.123407e-01 6.299955e-02 2.902182e-01 3.238311e-02 1.882138e-01 [161] 5.196416e-01 2.568316e-02 2.327385e-01 5.245085e-01 1.044432e-01 [166] 5.038700e-01 1.619991e-01 2.655520e-01 6.158792e-02 1.714966e-01 [171] 5.136657e-02 4.250253e-01 6.341955e-01 2.808422e-01 2.593315e-01 [176] 9.851252e-02 2.735420e-01 2.344920e-01 1.129527e+00 6.466060e-01 [181] 1.453052e-01 5.209463e-01 1.150862e-02 6.904806e-01 2.057061e-02 [186] 1.565118e-01 2.823415e-01 4.327058e-01 2.863495e-04 3.478012e-01 [191] 8.641707e-02 5.894471e-02 1.119416e-01 5.729959e-01 4.720329e-01 [196] 4.160164e-01 4.792699e-01 3.912154e-02 5.123727e-02 1.530140e+00 [201] 2.407717e-01 6.346288e-02 2.854785e-01 5.136822e-01 4.244782e-02 [206] 2.011414e-01 2.247315e-01 4.665461e-01 4.124337e-01 1.118942e-01 [211] 2.788959e-01 5.893935e-02 1.371486e-01 1.044864e-01 2.716595e-01 [216] 3.360534e-03 3.248376e-01 1.559835e-01 8.579349e-02 9.816307e-03 [221] 4.529550e-01 4.379759e-01 8.817589e-02 1.598884e-01 1.492483e-01 [226] 1.524908e-01 3.350948e-01 2.798727e-01 2.582616e-01 1.409311e-01 [231] 2.591363e-01 3.161943e-01 2.852759e-01 1.224320e-01 6.090334e-01 [236] 4.948526e-01 6.278131e-02 1.599760e-01 7.954653e-01 2.007205e-01 [241] 1.271128e-01 1.148353e-01 1.189104e-01 1.718643e-01 1.463633e-01 [246] 3.216660e-02 5.694774e-01 2.963644e-01 5.788166e-02 1.889409e-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/30qut1228126330.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/1v4xc1228126330.ps tmp/1v4xc1228126330.png") > system("convert tmp/2ch801228126330.ps tmp/2ch801228126330.png") > system("convert tmp/30qut1228126330.ps tmp/30qut1228126330.png") > > > proc.time() user system elapsed 0.795 0.580 1.269