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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/15spz1228139731.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 0 -1 0 -1 0 -1 0 -1 0 -1 0 1 [19] 2 1 2 1 0 1 0 -1 0 -1 -2 -3 -4 -3 -4 -5 -6 -7 [37] -6 -7 -6 -5 -6 -7 -6 -5 -4 -5 -4 -5 -6 -5 -4 -5 -4 -3 [55] -4 -5 -4 -3 -2 -1 0 1 2 3 4 3 4 5 6 5 6 5 [73] 6 7 8 7 6 5 4 5 6 5 4 5 4 5 4 5 4 3 [91] 4 5 6 5 4 5 4 5 4 3 4 3 2 1 0 1 2 1 [109] 2 3 4 3 2 1 2 3 2 1 2 1 2 3 2 3 2 3 [127] 2 3 4 5 4 5 6 5 4 5 6 5 4 3 4 3 4 5 [145] 6 5 6 5 4 5 6 5 4 3 2 1 2 1 2 3 2 1 [163] 0 -1 -2 -1 -2 -1 -2 -3 -2 -1 -2 -3 -4 -3 -4 -5 -6 -7 [181] -8 -7 -8 -7 -6 -7 -8 -7 -6 -7 -8 -9 -8 -7 -6 -5 -4 -5 [199] -6 -7 -6 -7 -6 -7 -6 -5 -4 -3 -2 -1 0 -1 0 -1 0 -1 [217] -2 -1 -2 -1 0 1 2 3 4 3 2 3 2 1 2 3 4 5 [235] 6 7 8 7 6 7 6 5 4 3 2 3 2 1 2 3 4 3 [253] 2 1 2 1 0 -1 0 -1 0 1 2 1 2 3 4 3 4 3 [271] 4 5 4 5 4 3 2 3 2 1 0 -1 -2 -3 -4 -5 -4 -5 [289] -6 -5 -6 -7 -8 -9 -10 -9 -10 -11 -10 -9 -8 -7 -6 -7 -6 -7 [307] -8 -9 -8 -9 -8 -7 -8 -7 -8 -7 -6 -7 -8 -9 -8 -9 -8 -9 [325] -8 -9 -10 -11 -10 -9 -8 -7 -6 -5 -4 -5 -6 -7 -6 -7 -8 -7 [343] -8 -7 -6 -7 -8 -9 -10 -11 -10 -11 -12 -13 -12 -11 -10 -9 -10 -9 [361] -8 -9 -10 -11 -10 -9 -8 -9 -10 -9 -8 -7 -6 -7 -6 -7 -8 -9 [379] -10 -9 -8 -7 -8 -9 -10 -11 -12 -11 -12 -11 -12 -13 -12 -13 -12 -11 [397] -10 -9 -10 -9 -8 -9 -10 -9 -8 -9 -10 -11 -12 -13 -12 -13 -14 -13 [415] -14 -15 -16 -17 -16 -15 -14 -13 -14 -15 -16 -17 -16 -17 -18 -17 -18 -19 [433] -20 -19 -18 -17 -18 -19 -20 -21 -20 -21 -20 -21 -20 -21 -20 -19 -18 -17 [451] -18 -19 -18 -17 -16 -17 -16 -17 -18 -19 -18 -17 -16 -15 -16 -15 -16 -17 [469] -18 -19 -18 -17 -16 -17 -16 -17 -16 -17 -18 -19 -18 -19 -20 -21 -20 -19 [487] -20 -19 -18 -17 -18 -17 -18 -17 -18 -19 -18 -19 -18 -19 > x <- b > postscript(file="/var/www/html/freestat/rcomp/tmp/2emf91228139731.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] 1.586225e+03 4.976365e+01 4.454956e+02 1.588287e+03 4.236465e+01 [6] 5.397822e+02 1.330607e+02 2.603099e+02 1.975748e+01 1.173560e+02 [11] 2.378278e+01 3.110991e+01 9.914759e+00 4.909432e+01 7.430597e+01 [16] 4.945784e+01 1.610301e+01 7.709418e+00 2.866412e-01 4.317040e+00 [21] 1.936310e+01 5.075999e+00 3.325457e-01 2.769804e+01 2.133925e+00 [26] 3.399437e+00 2.066055e+00 1.986339e+00 5.817870e+00 7.365917e-01 [31] 9.832299e+00 5.376928e+00 8.432406e+00 1.909905e+00 2.643008e+00 [36] 2.954913e+00 1.887466e+01 2.956252e+01 2.917983e+00 1.750979e+01 [41] 1.658548e+00 1.904726e+00 1.420671e+00 3.549789e+00 9.334217e-01 [46] 5.255650e+00 5.276381e-01 6.299590e-01 1.209532e+00 4.067461e+00 [51] 7.132000e-01 2.268028e+00 6.793516e-01 2.822855e+00 1.335658e-01 [56] 2.522715e+00 8.173057e-02 1.109341e+00 1.537879e+00 2.613612e-01 [61] 4.296990e+00 1.691894e+00 1.418550e+00 3.373815e+00 2.777253e+00 [66] 8.570784e-01 5.715055e+00 1.096603e+00 1.896445e+00 2.547197e+00 [71] 1.165938e+00 4.677359e+00 1.338367e+00 6.336515e-02 3.489033e-01 [76] 8.651278e-01 1.499252e+00 2.730588e-01 7.897296e-01 5.135859e-03 [81] 6.115205e-02 3.917800e-01 3.254321e+00 3.715350e-01 2.147092e-01 [86] 7.374865e-01 1.027650e+00 8.105195e-01 8.672381e-01 1.558121e+00 [91] 1.644796e+00 3.311889e-01 6.233358e-01 6.860881e-01 2.603628e-01 [96] 1.027687e+00 4.944964e-01 7.424123e-01 3.161552e-01 2.906929e+00 [101] 1.032668e+00 5.728831e-01 2.718568e-02 7.552322e-01 3.644247e-01 [106] 1.791376e-02 4.501532e-01 1.275245e+00 5.933072e-01 8.359990e-03 [111] 5.758270e-01 6.718051e-01 5.725957e-01 2.701501e+00 1.499663e+00 [116] 8.499244e-01 6.954104e-01 7.681226e-01 1.458302e-01 2.390301e-01 [121] 2.427477e-01 2.637141e-01 4.388777e-01 2.204439e-01 1.833871e-01 [126] 2.530811e-01 1.282441e-01 4.308186e-01 5.513267e-02 2.386766e-01 [131] 9.134684e-01 1.062416e-01 6.987698e-01 6.457528e-01 3.162103e-01 [136] 3.409823e-01 2.858505e-01 2.633601e-02 6.842539e-02 7.361281e-01 [141] 2.281620e-01 2.391065e-01 1.275257e-01 9.172224e-01 3.402706e-01 [146] 6.666376e-01 2.494886e-01 2.003494e-02 1.743950e-01 4.231596e-01 [151] 6.993052e-01 2.931092e-02 5.823658e-01 4.152524e-02 4.612425e-02 [156] 1.230706e-01 5.796252e-01 3.705519e-01 1.221416e-01 2.049262e-01 [161] 1.218173e+00 1.506639e+00 3.218874e-01 1.632921e-01 4.924617e-01 [166] 3.066488e-01 1.428397e-01 6.937101e-02 6.220299e-01 1.963506e-01 [171] 7.613155e-01 1.455381e-01 3.463953e-01 1.222852e-01 6.026700e-02 [176] 1.295372e-01 1.878049e-01 1.466730e-01 2.052655e-01 1.968823e-02 [181] 4.361428e-01 1.603526e-01 1.642476e-01 8.246442e-02 1.163794e-01 [186] 1.806853e-01 3.240496e-01 2.460492e-02 1.624543e-01 4.485950e-01 [191] 1.439115e-01 7.323927e-02 4.717510e-01 4.378083e-01 5.199004e-01 [196] 2.354718e-01 9.339280e-01 3.302520e-02 1.863615e-01 6.231444e-02 [201] 3.435446e-01 2.817774e-01 1.332261e-01 4.302403e-01 1.159856e-01 [206] 2.521199e-01 1.678876e-01 7.644420e-02 2.018393e-01 3.303303e-02 [211] 4.594171e-02 2.100926e-02 1.069062e+00 2.357818e-01 4.583389e-03 [216] 2.452033e-01 3.206515e-01 1.995847e-01 1.786501e-01 3.648461e-01 [221] 3.773484e-01 5.492116e-01 1.137364e-01 3.179169e-01 5.681913e-04 [226] 1.128431e-01 2.935476e-01 1.902780e-01 6.979596e-01 4.347847e-02 [231] 3.398443e-03 7.792724e-02 1.537373e-02 5.425590e-01 1.845776e-01 [236] 2.848175e-01 4.464417e-01 4.030059e-01 1.139329e-01 9.526150e-01 [241] 4.346582e-01 4.771724e-01 1.593849e-01 8.915801e-02 2.939283e-01 [246] 1.595527e-01 9.843671e-03 1.335934e-01 3.269340e-02 1.023520e+00 $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/30epb1228139731.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/15spz1228139731.ps tmp/15spz1228139731.png") > system("convert tmp/2emf91228139731.ps tmp/2emf91228139731.png") > system("convert tmp/30epb1228139731.ps tmp/30epb1228139731.png") > > > proc.time() user system elapsed 1.053 0.733 1.162