R version 2.8.0 (2008-10-20)
Copyright (C) 2008 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

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> 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/1ub2l1228762170.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  -2  -3  -4  -5  -6  -5  -4  -5  -4  -5  -4  -3  -4  -3
 [19]  -2  -1   0   1   0   1   0   1   0  -1  -2  -1  -2  -3  -4  -5  -6  -7
 [37]  -8  -9 -10  -9 -10  -9 -10 -11 -10  -9 -10 -11 -10  -9  -8  -9  -8  -7
 [55]  -6  -7  -6  -7  -8  -7  -8  -9  -8  -9 -10 -11 -10 -11 -10 -11 -12 -11
 [73] -12 -13 -12 -13 -14 -13 -12 -11 -12 -11 -12 -13 -14 -15 -14 -15 -16 -17
 [91] -16 -17 -18 -19 -18 -17 -16 -17 -18 -19 -18 -17 -18 -19 -18 -17 -16 -17
[109] -18 -19 -18 -17 -16 -15 -16 -15 -16 -15 -14 -15 -14 -15 -16 -17 -16 -17
[127] -18 -19 -20 -21 -22 -23 -22 -23 -24 -23 -22 -23 -24 -25 -24 -23 -22 -21
[145] -20 -19 -18 -19 -20 -19 -18 -17 -16 -17 -16 -15 -14 -13 -14 -13 -14 -15
[163] -16 -17 -18 -17 -18 -17 -16 -15 -14 -13 -14 -13 -14 -15 -16 -17 -16 -15
[181] -14 -15 -16 -17 -18 -19 -20 -19 -20 -21 -22 -21 -20 -19 -20 -19 -18 -17
[199] -18 -19 -20 -21 -22 -23 -22 -23 -22 -23 -24 -25 -26 -25 -26 -27 -28 -29
[217] -30 -29 -30 -29 -28 -27 -28 -29 -28 -27 -26 -27 -28 -29 -28 -29 -28 -27
[235] -28 -27 -26 -25 -24 -23 -22 -21 -20 -21 -20 -19 -20 -19 -18 -19 -18 -17
[253] -16 -15 -14 -13 -14 -13 -14 -15 -16 -17 -16 -17 -18 -17 -16 -17 -16 -17
[271] -16 -17 -18 -17 -16 -17 -16 -15 -14 -15 -14 -13 -14 -15 -16 -17 -18 -19
[289] -18 -19 -18 -17 -18 -19 -20 -21 -22 -21 -20 -21 -20 -21 -20 -19 -20 -21
[307] -22 -23 -24 -23 -22 -21 -20 -21 -20 -19 -20 -21 -20 -19 -20 -21 -22 -23
[325] -24 -25 -26 -27 -26 -27 -26 -27 -26 -27 -28 -27 -26 -27 -26 -25 -24 -25
[343] -24 -23 -24 -25 -24 -23 -24 -23 -24 -23 -24 -25 -26 -27 -26 -25 -24 -25
[361] -26 -27 -28 -27 -26 -27 -28 -29 -30 -29 -30 -29 -28 -29 -28 -27 -28 -27
[379] -28 -29 -28 -27 -26 -25 -26 -25 -24 -23 -24 -23 -24 -23 -22 -23 -22 -23
[397] -24 -23 -24 -23 -24 -25 -24 -25 -24 -25 -26 -25 -26 -27 -26 -25 -26 -27
[415] -28 -27 -26 -25 -24 -23 -24 -25 -26 -27 -26 -25 -24 -25 -26 -25 -24 -25
[433] -24 -25 -24 -23 -24 -23 -22 -21 -22 -23 -24 -23 -24 -25 -24 -23 -22 -23
[451] -24 -25 -26 -25 -26 -27 -28 -29 -30 -29 -30 -31 -32 -31 -32 -31 -32 -33
[469] -32 -31 -30 -31 -32 -33 -32 -31 -30 -29 -30 -29 -28 -27 -26 -25 -24 -25
[487] -24 -25 -24 -23 -24 -25 -24 -25 -26 -27 -28 -29 -28 -29
> x <- b
> postscript(file="/var/www/html/rcomp/tmp/2ad0a1228762170.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] 6.031691e+02 3.961770e+02 9.627977e+01 1.288405e+03 2.843324e+02
  [6] 3.389262e+02 1.090567e+02 6.229861e+01 2.164923e+01 2.779266e+01
 [11] 2.602081e+02 1.071620e+02 3.671629e+01 1.043009e+01 1.178000e+02
 [16] 1.193674e+01 2.374409e+01 4.386422e+01 9.105249e+00 2.803618e+01
 [21] 2.646560e+01 5.171098e-01 5.416075e-01 8.745238e+00 2.089402e+01
 [26] 5.297158e+00 3.116531e+00 3.165756e+00 2.337773e+00 1.435581e+00
 [31] 4.218765e+00 2.060191e+00 7.955805e+00 8.325263e+00 3.119187e+00
 [36] 5.569517e+00 7.326207e+00 7.651906e+00 3.372606e+00 6.042691e+00
 [41] 8.931826e+00 8.158691e+00 3.981365e+00 2.352007e+00 1.690367e+00
 [46] 2.888035e+00 2.399240e+00 3.969064e+00 7.884672e-02 1.482063e+00
 [51] 2.365277e+00 9.845175e-01 1.044303e+00 7.266064e+00 9.195845e-02
 [56] 5.403041e+00 4.668511e-01 4.802001e-01 2.851620e+00 6.750306e-01
 [61] 9.257346e-01 1.866224e-01 4.588245e-01 1.046112e+00 3.781428e+00
 [66] 1.953348e+00 3.461806e+00 1.500440e+00 8.948328e-02 1.564300e+00
 [71] 7.586816e-01 1.073433e+00 2.625018e+00 1.374155e-01 2.698998e+00
 [76] 2.136173e+00 3.382848e-02 4.854128e-01 2.017359e-01 1.463260e+00
 [81] 3.242774e-01 8.568640e-01 5.239087e-01 2.980775e+00 2.278168e-01
 [86] 4.275887e-02 6.129713e-01 1.573610e+00 3.059098e+00 1.466076e+00
 [91] 1.520471e+00 4.436321e-01 1.393258e-01 1.972301e-01 6.494599e-02
 [96] 7.289278e-01 3.404296e-02 3.873944e-01 3.272963e+00 9.248011e-01
[101] 1.099590e-01 2.299752e-01 6.264598e-01 7.579205e-01 1.887484e+00
[106] 1.195693e-01 6.822099e-01 2.387550e+00 1.886283e+00 2.431590e-01
[111] 1.460440e-01 2.323900e-01 6.942665e-01 6.940615e-01 2.438522e-02
[116] 3.549298e-01 1.303019e-01 3.709588e-01 5.609242e-01 4.760342e-01
[121] 1.187797e+00 1.029036e+00 1.145325e+00 4.691973e-01 7.037584e-02
[126] 7.896633e-01 1.295153e-01 2.924468e-01 1.933937e-01 8.289148e-02
[131] 8.147797e-01 1.579222e-01 5.311519e-01 4.792794e-01 4.075516e-01
[136] 6.243500e-01 2.038509e-01 1.099667e+00 2.350726e-02 2.222437e-01
[141] 3.806753e-01 3.917179e-01 2.083214e-01 2.464835e-01 8.865978e-01
[146] 3.076459e-01 2.206735e-01 1.533898e-01 1.571010e-01 1.966215e-02
[151] 1.564429e-01 2.976304e-02 2.909123e-01 2.900083e-02 4.528164e-01
[156] 2.795156e-01 9.695225e-03 4.889969e-02 1.981891e-02 4.246380e-02
[161] 2.579746e-01 5.420067e-01 3.721687e-01 8.497434e-01 5.825072e-01
[166] 1.334251e-01 3.168679e-02 6.561315e-01 9.919924e-02 1.431900e+00
[171] 1.225296e-01 7.984610e-02 7.202283e-01 2.295628e-01 8.808189e-02
[176] 1.351909e-01 2.277838e-01 1.226868e-01 3.946442e-01 2.916821e-01
[181] 7.984579e-01 5.811258e-01 7.499118e-01 4.338012e-01 1.710592e-01
[186] 8.306681e-01 1.294669e-01 1.685730e-02 5.639779e-03 5.553033e-02
[191] 1.920852e-01 8.474500e-02 3.475086e-01 5.322914e-01 1.759201e-01
[196] 1.377523e-01 7.929879e-01 5.205804e-01 5.087747e-02 1.111473e-01
[201] 5.200553e-01 9.300717e-02 4.902226e-01 4.051292e-01 7.802011e-02
[206] 1.812333e-01 3.732729e-01 2.837211e-01 1.770852e-01 1.714847e-01
[211] 4.780879e-01 2.962281e-01 2.087031e-01 1.395782e-01 2.341337e-02
[216] 4.798390e-01 7.154986e-02 1.181705e-01 7.941026e-02 1.405381e-02
[221] 2.507753e-01 2.394186e-01 2.706822e-02 4.637373e-01 3.226372e-01
[226] 2.641634e-02 4.263481e-01 6.099793e-01 6.745166e-03 3.481011e-01
[231] 1.090647e-01 2.083107e-01 2.497294e-01 3.005423e-01 2.887565e-01
[236] 9.336893e-02 2.433837e-01 1.036231e-01 3.000330e-01 5.456005e-02
[241] 7.512226e-02 1.564609e-02 5.222915e-01 7.824923e-02 6.178316e-02
[246] 2.009805e-02 4.161004e-01 6.236356e-01 1.001474e-01 1.785222e-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/3ifk01228762170.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/1ub2l1228762170.ps tmp/1ub2l1228762170.png")
> system("convert tmp/2ad0a1228762170.ps tmp/2ad0a1228762170.png")
> system("convert tmp/3ifk01228762170.ps tmp/3ifk01228762170.png")
> 
> 
> proc.time()
   user  system elapsed 
  0.809   0.594   0.945