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binom.html
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<h3>binom.R</h3>
<p>shill — <em>May 15, 2013, 5:15 PM</em></p>
<pre><code class="r">mu1 <- log(1)
mu2 <- log(90)
sig1 <- log(3)
sig2 <- log(3)
cpct <- .6
bimodalDistFunc <- function (n,cpct, mu1, mu2, sig1, sig2) {
y0 <- rlnorm(n,mean=mu1, sd = sig1)
y1 <- rlnorm(n,mean=mu2, sd = sig2)
flag <- rbinom(n,size=1,prob=cpct)
y <- y0*(1 - flag) + y1*flag
}
bimodalData <- bimodalDistFunc(n=10000,cpct,mu1,mu2, sig1,sig2)
hist(log(bimodalData),breaks=500)
</code></pre>
<p><img 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" alt="plot of chunk unnamed-chunk-1"/> </p>
<pre><code class="r">b <- hist(log(bimodalData),breaks=500)
str(b)
</code></pre>
<pre><code>List of 7
$ breaks : num [1:616] -3.8 -3.78 -3.76 -3.74 -3.72 -3.7 -3.68 -3.66 -3.64 -3.62 ...
$ counts : int [1:615] 1 0 0 0 0 0 0 0 0 0 ...
$ intensities: num [1:615] 0.005 0 0 0 0 0 0 0 0 0 ...
$ density : num [1:615] 0.005 0 0 0 0 0 0 0 0 0 ...
$ mids : num [1:615] -3.79 -3.77 -3.75 -3.73 -3.71 -3.69 -3.67 -3.65 -3.63 -3.61 ...
$ xname : chr "log(bimodalData)"
$ equidist : logi TRUE
- attr(*, "class")= chr "histogram"
</code></pre>
<pre><code class="r">a <- seq(-5, 5, 1/66)
plot(a+5, (pi/2 - atan(a))/3, "l")
</code></pre>
<p><img 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78HfY61v4a2RBdj8vs6om+On2tJQALlIaDBl6evC9VSTP5B9FUa9QUUL735BSb/j4VqpI2RgAQkMAQCGvwQ4Llp7wlg8g+jfyWSk1D8Nv8zFIZvkoAEJFBqAhp8qbu/OI3H5B9AR9OiM9GRmPx30FrFaaEtkYAEJNAaAQ2+NV6unTgBTD7eR38oYY5H38Pk47n3yyYetuFJQAISyJyABp85UgtMgQAmfwVxHIDirXXnY/J7phCXMUhAAhLoFgENvlukrafrBDD5uI/+B1R8PNoTkz8bjWXaJAEJSKDwBDT4wnexDcTkJ6NPQ+IydBomH6fwTRKQgAQKTUCDL3T32rhqApj8VXwOc18dk/8hWrd6udMSkIAEikRAgy9Sb9qWhRLA5Kehk1jxPPRtTP5jaNhCN3QFCUhAAjkjoMHnrMMMNxsCmPytlPRRFKP4H+Pxb8+mZEuRgAQkkAYBDT6NfjCKHhDA5KejeEhOXHEfJv/+HoRhlRKQgAQ6QkCD7whWC80TAUz+t8R7JDoAkz8ILZ6n+I1VAhKQQC0CGnwtKs4rHQFM/kkafThaFZ2LyUdukoAEJJBbAhp8brvOwLMmgMm/jr5NuRegH2Hy22Vdh+VJQAIS6BaB4d2qyHokkBcCmPxVmPtDxHsy+Tp8Pj8vsRunBCQggT4CjuD7SJhLoIoAph4G/yn0Lkze3+Wr2DgpAQnkg4AGn49+MsoeEMDkp1FtvKFuHfRdjH5UD8KwSglIQAJtEdDg28LmRmUhgMnPQd+gvX9B8bv8ymVpu+2UgATyTUCDz3f/GX2XCGDy8eS7X6K4X95H3HaJu9VIQALtE9Dg22fnliUjgMn/jiZ/E8ULazYpWfNtrgQkkDMCGnzOOsxwe0sAk59IBPH0u29g8lv1Nhprl4AEJFCfgAZfn41LJFCTACZ/Dwu+iL6Cyf9DzZWcKQEJSKDHBDT4HneA1eeTACb/VyL/LrrL0/X57EOjlkDRCWjwRe9h29cxApj8BArfCcXp+q07VpEFS0ACEmiDgAbfBjQ3kUAfAUx+PNOfR1/ydH0fFXMJSCAFAhp8Cr1gDLkmgMnHU+9OQDGSXz/XjTF4CUigMAQ0+MJ0pQ3pJQFMfhL1xwNx/h2TX62XsVi3BCQggSCgwfs9kEBGBDD5eNrdmeibmPzojIq1GAlIQAJtEdDg28LmRhKoTQCT/wNLLkenYPJL1l7LuRKQgAQ6T0CD7zxjaygZAUz+Qpocv8sfULKm21wJSCAhAhp8Qp1hKIUiEPfIb8oo/ohCtcrGSEACuSGgweemqww0TwQYxc8j3riy/t2Y/O55it1YJSCBYhDQ4IvRj7YiQQJ4/N8J6yvoCEx+vQRDNCQJSKDABDT4AneuTes9AUz+SaL4Fop75JftfURGIAEJlIVAsgbPwXBRtExZOsJ2FpcAJv9nWvd7dGJxW2nLJCCB1AgkYfAY+Sj0OXQ52gntA6jn0TNMn400+tS+OcbTEgFM/lw24Ks87JCWNnRlCUhAAm0SSMLgif1LKF7WcRX6HvomCpMfi0agccgkgbwT+DoN2BuT9xWzee9J45dADggMTyTGfYlja0Y5Mzn4vY3pFZmeGLHx+T/ITkMxAjJJILcE+E5P4/scj7ON98h/ks+v5LYxBi4BCSRPIJUR/P2Q2o2D3nLk26MtqshtyvQdVZ+dlEBuCWDqdxP8NeiLuW2EgUtAArkgkIrBnwqtGKn/Dd2O7sbs70fxRLB4YMh5yCSBohCIs1Er8v3esygNsh0SkEB6BJI4RR+n4znYbQSe5Zl+keklmH4fegs6lHmzyE0SKAQBvs9z+Y7Hqfofkt/B52cL0TAbIQEJJEUgCYMPIhzk5pG9WJl+jfy3Mc0BcH00ksV3xudGifW2Zfk766wTp/pfrbPM2RLoKgG+z0/zff0ZlX4ZHdPVyq1MAhIoBYFUTtE3gh1X0H+60QpVy+Kipbi9rpbiqWJzqtZ1UgI9JYDJX0YAczD6D/Y0ECuXgAQKSSCZEXw9uhwET663bOB81p3EvNCgxEH03cyMK/RNEkiJQNwSehbfz4l8fz1Vn1LPGIsEck4guRE8B7rhaHTOuRq+BJoigKnH2aZfoM81tYErSUACEmiSQBIGj6GPQKegeG73bDSV6bgnfhI6tMm2uJoEckkAk7+EwJfmux4XlpokIAEJZEIgCYOnJWegd6C4bWgUirjGoMNQvInrSHKTBIpMIF5Iczjf9WWL3EjbJgEJdI9AKgYf78s+nJHMPWgGijQNTWT+sWi/7iGxJgl0nwDf9Uep9WrkP7Pdx2+NEigkgVQMPi6M26kO4b2YP6XOMmdLoEgEfkZj3skoPs5mmSQgAQkMiUAqV9GfQCsu4MB2PPkjaDqKx9ZuiCLGPZBJAoUmwCj+NfaBM2nkcSh+njJJQAISaJtAEgbPge1ODmyb04p4UM1YtDKKUXsc7CawPB6CY5JA4QnwVf8j+8K+aG+mLy98g22gBCTQMQJJGHy0joNZPGXuho611IIlkB8C3yfUUzH5P7BfxAOaTBKQgARaJpDKb/AtB+4GEigqAUx9Mm2bgA4pahttlwQk0HkCGnznGVuDBNoh8DM2eh+j+FXa2dhtJCABCWjwfgckkCABRvHTCCtel3x4guEZkgQkkAMCGnwOOskQS0sgnnC3AaP4uJvEJAEJSKAlAhp8S7hcWQLdI8Ao/nVqOxd9qnu1WpMEJFAUAhp8UXrSdhSSACYfT7dbjlH8VoVsoI2SgAQ6RkCD7xhaC5ZAZgR+Skk++CYznBYkgXIQ0ODL0c+2MscEGMXfSPhzGcW/N8fNMHQJSKDLBDT4LgO3Ogm0SSBG8R/H5Ie1ub2bSUACJSOgwZesw21uPgkwir+VyGcgR/H57EKjlkDXCWjwXUduhRJom8B5bPmxtrd2QwlIoFQENPhSdbeNzTMBRvG3Ef/f/S0+z71o7BLoHgENvnusrUkCWRA4n0IOzqIgy5CABIpNQIMvdv/auoIRqPwWvwij+K0L1jSbIwEJZExAg88YqMVJoAsEfkUdjuK7ANoqJJBnAhp8nnvP2EtJgFH8DTR8NKP4d5QSgI2WgASaIqDBN4XJlSSQHIF409yByUVlQBKQQDIENPhkusJAJNASgXhG/UaM4ldtaStXloAESkNAgy9NV9vQIhHgNH28ae5SdECR2mVbJCCB7Aho8NmxtCQJdJvA5VS4M6P45bpdsfVJQALpE9Dg0+8jI5RATQKM4qez4A9o35orOFMCEig1AQ2+1N1v4wtA4GLasC+j+MUK0BabIAEJZEhAg88QpkVJoNsEGMU/SZ0Po527Xbf1SUACaRPQ4NPuH6OTQDME4mK7DzWzoutIQALlIaDBl6evbWlBCTCKv4WmjeQ0/QYFbaLNkoAE2iCgwbcBzU0kkCCBy4jpgwnGZUgSkECPCGjwPQJvtRLImMDvKW8bb5nLmKrFSSDHBDT4HHeeoUugjwCn6WcyfSPas2+euQQkUG4CGny5+9/WF4vAb2jO3sVqkq2RgATaJaDBt0vO7SSQGAFG8XG73FRO02+VWGiGIwEJ9ICABt8D6FYpgQ4SuJKyfbJdBwFbtATyQkCDz0tPGacEmiNwHattyih+dHOru5YEJFBUAhp8UXvWdpWSAKfpZ9Pw69EepQRgoyUggQUENPgFKJyQQGEIXEVLvJq+MN1pQyTQHgENvj1ubiWBZAkwin+Q4GZwmn6zZIM0MAlIoOMENPiOI7YCCfSEwO+o1VF8T9BbqQTSIKDBp9EPRiGBrAlcS4HbMYpfOuuCLU8CEsgHAQ0+H/1klBJoiQCn6WewwZ/Rzi1t6MoSkEBhCGjwhelKGyKBQQTinvhtB811hgQkUAoCGnwputlGlpTAXbR7fU7Tr1bS9ttsCZSagAZf6u638UUmwGn6ubQv3jK3e5HbadskIIHaBDT42lycK4GiENDgi9KTtkMCLRLQ4FsE5uoSyBMBRvFPEu80TtNvnqe4jVUCEhg6AQ1+6AwtQQKpE4hR/G6pB2l8EpBAtgQ0+Gx5WpoEUiRwA0Ftzyh+RIrBGZMEJNAZAhp8Z7haqgSSIcBp+pcIZhLylrlkesVAJNB5Ahp85xlbgwRSIBCvkd0lhUCMQQIS6A4BDb47nK1FAr0mcBMBvJPT9Mv2OhDrl4AEukNAg+8OZ2uRQE8JcJp+FgHcgrbvaSBWLgEJdI2ABt811FYkgZ4TuJ4IvJq+591gABLoDgENvjucrUUCKRCIl8+syWn65VMIxhgkIIHOEmjK4DkgLIZGdTYUS5eABDpJgNP0cyj/T2jHTtZj2RKQQBoEBhk8Rr44+jL6KYqLcg4k1OfRy0xfipZII3SjkIAE2iAQ98Tv2sZ2biIBCeSMwCCDJ/5vox1RmPp/oxPR/mhdNBzth0wSkEAOCTCKv52wV+Yf9bflMHxDloAEWiAQhj0w7cGMLTkQTOcgEFfersT0H2MlPn+V7GQUxm+SgATySSBO0++MfpXP8I1aAhJohkCtEfyjbLhBZeP/Ij+/qqBNmH646rOTEpBA/gj8gZB3zF/YRiwBCbRCoJbBn0YB/8NofV9G7s+gW6NAPp9Cdir6aXw2SUAC+STAPn0Pka/APr1yPltg1BKQQDME+hk8O/zibPQMWh/NN/aqQi5nei0ODvFM644nYlmyEk/H67ICCZSQQN9p+hI23SZLoBwE+hk8TY7f5OOiunis5ckY7Dg0mulFMPaJ6O8xnXWijtXR+WhL9FZ0DnU8h+LK/bia37dgZQ3d8spOIB56s33ZIdh+CRSZQD+Dx8BnoXE0eDMUJhu/uV+Fwd6ITkTboH7bsDyL9HUKeQL9LzoaxT8aG6NN0bLoa8gkAQlkRyDOxK3E/jwmuyItSQISSIlAravoY7Q+hyBvrugEDgIrMh2PuPw0CsP9IMoyxUhiA+qdTV0fYHo/pp+KCvgc5n5WTJskIIFsCLB/zWPfGk9pse9dmE2pliIBCaREoO5onJ1/BIoR+8cJ+DgUD7j5DjoAZZ0epMCPVgodTx636vWlvZh4qO+DuQQkkBmBCZS0U2alWZAEJJAUgUEjeAx9GBHG0+u+jqagR1E89CZM919QnNaLh+GcESNu8izSURRyBeV+gjxuw/sO0/GPxVwUj8iNUYZJAhLIlsDdFBfXvMSzLv6WbdGWJgEJ9JpAP4NnR1+SgC5B16Jt2elfGBgg68RFd3Gq/nqmD2CduOp+SIkyHqGsjSgkfgaIK/ifQC+hGLlfyfI3yE0SkECGBNiv4jR9XFC7I7oow6ItSgISSIDAMPbxBWGws4fhL8W8VxbMrDPBukuxaFHWnVlnlUxmU08Y/kjquXNhBbLuuqyzVp31PsX8xSjHR+3WAeTs8hFgn9mCVh/CfnFM+VpviyXQeQLsY6dSyy/Zx+7ofG39a+g3gieAGCnPN3eCilvTNkfvQGGacer8dnR/rIfiMbbdSHFV/xrosCYqezvrRMy10krMnFFrgfMkUGICd9H2uJB2efbpqSXmYNMlUDgC/Qw+WseO3ovf4OuC5aBzct2FAxaw7nhmhQYlmhUv1/AFG4PIOKPMBNhn5rBvTIRBXOdyWZlZ2HYJFI1AP4NnR+/Jb/DVUIkhYlqWA0/8Bm+SgAQ6TyBeJhW3vmrwnWdtDRLoGoFFB9QUp+gPxFxPR4MusIt1w3jRvzO5G5oW84aaMPW4Je8U9CRlxZX5U5meiSahQ4davttLQAINCcRPbxuyr8UdKyYJSKAgBPoZPMYdv603vMCOg0BcXBdGH0+9y+oCuzMoMn7r3xPFQSbiiidsxe/uR1DnkeQmCUigAwTYj+Of6lvRuzpQvEVKQAI9ItDP4KtjwFRXRBeju1GMpO9DcU98PMI267Q7BR7OgeYeNANFmobit8FjkVe+Z03c8iTQn8BNfNyh/yw/SUACeSZQ1+Bp1PFoJPoJegqdgKajU1DWKZ6LvVOdQuNJdlPqLHO2BCSQDYGbKeYf+Cd+iWyKsxQJSKDXBPpdZDcgmLX5HPfv3YJidB2j+UeY/izK+nfx+OfhAsqPfyqijvhHYjm0IYoY90AmCUigQwTYv2ex/91H8XGaPi66M0lAAjkn0Mjgn6Ztq7Pj/4EdPy6CW4HPcZ/s6lm3mTrupPy4f31bNBatjGLUfiaawPI3n8bDDJMEJNARAhMo9d1Ig+8IXguVQHcJNDL4+K19IsYbD7j5LboCjUC/RpknPPxVCr0h84ItUAISaJZA/A5/GPt8PPFxTrMbuZ4EJJAmgboGzw4eF9XFY2JjR4+L3Y5ALyOfWQ0EkwSKRoB9/iX2+bhVNc6m3Va09tkeCZSNQL+L7Ni5l0I79UFgh38OTUFx+9wP0C/Q/DfIsd570Sp965pLQAKFIPAnWrFdIVpiIyRQcgL9DB4WYd47Yty/QQehuNBtQeLzqmh/FL/VHYQa3jO/YEMnJCCBvBCI0/TvzUuwxikBCdQn0O8UPaPzOB1/IgY+hvwkdAbT8U/A82hVFKfo43T9Uax7L7lJAhIoEAH266fY519B6zP91wI1zaZIoHQE+hl8X+vZsZ9h+rAQO3pc0b4Wepj5fyM3SUACxSYQ/8S/B2nwxe5nW1dwAgNP0Q9qLqYev8PfrLkPQuMMCRSVQPwOH7fLmSQggRwTqDmCj/Ywcn8L2Y/QJihuj+tLv8Psj+v7YC4BCRSLAPv3A7H/ozFMx9k8kwQkkEMCdQ2etnwBxUV2x6AZqC/Fw25MEpBAsQncSPPiavqLi91MWyeB4hJoZPBvp9k/4j94Hz5T3P63ZRKoRyCupo87ZTT4eoScL4HECTT6Df5SYj+Y03QrJd4Gw5OABLInEO+IX5v9f9nsi7ZECUigGwQaGXzcKhcveXmWnfwhFL/LhU7vRmDWIQEJ9I4AZ+7eoPY7UJymN0lAAjkk0OgUfTx7vtbjKmfmsJ2GLAEJtE4gfoeP2+Wubn1Tt5CABHpNoJHBzyK4L6J10WIoRvtLoj+jDyOTBCRQbAJxP/xxnLUbwYh+drGbauskUDwCjU7Rx7vZR6KfoKdQvLM93tN+CjJJQAIFJ4Cpx90zD6B3FrypNk8ChSTQyODXpsWnop+ht7Ozx9W0h6LPIpMEJFAOAjGK96E35ehrW1kwAo0M/mnaunrlv/gRnKZbgc9xD/zqBWNgcyQggfoE4nd4L7Srz8clEkiWQKPf4M8h6okY+8Pkv0Vx0V080e7XyCQBCZSAAP/gP8cx4GXky2dK0N82sVgE6ho8O/Z9sVPT3HjDXJymOwLF2+QuQiYJSKA8BG6mqfEKWV8+U54+t6UFIFD3FD3mHg+4mIrRT0FvoB/wOX6HjyfcmSQggfIQiNP025anubZUAsUgMMjgMfb4vT1uhzsZ7RLTfeLzfiiM3iQBCZSEAP/cx8h9NMeBVUrSZJspgUIQGGTwtOrjKO6BPwZdVZmOz6Gz0ZXIJAEJlIuAo/hy9betLQCBQQbPf+tn0a7FUdwOF6flYjo0nGWjyM9FJglIoFwE4nf47cvVZFsrgXwTGGTw0RyMPJ5DfT76HIqXTtyF7uUU3aPkcXW9SQISKBeBOA7Ey2eWKVezba0E8kugpsFXmuOT7PLbr0YugUwJ8E//6xR4J/Jiu0zJWpgEOkegkcH7JLvOcbdkCeSRQPwO70Nv8thzxlxKAo0M3ifZlfIrYaMlUJdAvGhqK07TxzU5JglIIHECwxvE55PsGsBxkQTKRoDT9NMx94do92boL2Vrv+2VQN4I1DV4dmafZJe33jReCXSeQDzVMp5qp8F3nrU1SGBIBBqdoo+r6Z9DC55kx/QvkO+FHhJyN5ZArglMIHp/h891Fxp8WQg0NPiyQLCdEpBAcwTin37WfIVT9Rs0t4VrSUACvSKgwfeKvPVKIL8E4mp63xGf3/4z8pIQ0OBL0tE2UwIZEoin2r0nw/IsSgIS6ACBpgye03Fno3hMrUkCEig5AU7T3w+CZTgm+PKZkn8XbH7aBJoyeJrwURRvmDNJQAISCAJxmt5RvN8FCSRMoFmDT7gJhiYBCfSAQNwu58tnegDeKiXQLIFmDf48Cny12UJdTwISKDyBePnMGpymX67wLbWBEsgpgaYMnt/cDkfTc9pGw5aABDImwPFgDkXehjxNnzFbi5NAVgSaMvisKrMcCUigUAT+RGt8u1yhutTGFImABl+k3rQtEugugVuobnNO0y/V3WqtTQISaIZASwbPjrwYWqKZgl1HAhIoNgFO0/+dFt6Ltip2S22dBPJJYJDBY+CrofPRDHQtWqeqaeOY/nnVZyclIIFyE7iJ5sfLZ0wSkEBiBAYZPPEdj55FW6K4FWYCJr8euUkCEpDAQALxO/w2HCNqHUsGrutnCUigiwRqvS52D+rfnNNvs8hPYMe9j/xqcq+W7WLHWJUE8kCA48TLHBseJ9YtkK+QzUOnGWNpCNT6rzsMPUbv8xM78IVMnIF+h1aYP9M/EpCABN4k8EcmHQC8ycMpCSRBoJbBn0Vkv+a/8i/2RYjJn8b0Jei7ffPMJSABCVQI+NhavwoSSJBAv1P0mPrixPgMWhutVR0vJn8Sy+M/9VhmkoAEJDCfAMeG5zg2TEWbMB1X1ZskIIEECPQzeOKJzyeiDdCt7LC/J7+OnfYl8kXIx5OFTBKQgASqCcQ//3E1vQZfTcVpCfSQQL9T9Bj4LBS3wm2GzkGboKsw+hvRicirZQFikoAEBhGI0/Q7DJrrDAlIoGcE+hl8XxSY/Bx0MzoBxaMo90MPok+ji5FJAhKQwAICHCcm82EWg4B1F8x0QgIS6CmBgafoawbDzvsCC35VUc11nCkBCZSeQNwTvxN6qPQkBCCBBAgMGsHzH/gtaAf0ZfRgDX0vgbgNQQISSI/AeELydrn0+sWISkqg1gj+U7CYjB5B16BYZxUUT7d7A82/4I7cJAEJSGABAc70PcKAIN5XsQ7TDy9Y4IQEJNATAoMMnh3z7oiEnTReJPFldBh6DY1A56GjkEkCEpBALQLjmbk90uBr0XGeBLpIYNAp+qq6YyS/FtoU0182chRPsgvTN0lAAhKoRWA8M72avhYZ50mgywQaGfzWxPJtzP2BiIn8r2RfR+68AcQkAQkMIsBxIi6wW4IzgGsOWugMCUigqwQaGfy1RPJpdtTRERH5kmSHoHighUkCEpBAPQJ/YIEDgXp0nC+BLhFoZPCjiGFPNAVzj9/lp6Lj0cF8fqCipflskoAEJFBNYAIfdqme4bQEJNB9AoMusqsK4XKmF/b6x3ilbEdS5YzBCE75Te9IBRYqAQl0hED8nMf+uyhak+nHOlKJhUpAAgsl0M/g2SGXYot3sVPegJ5kOlQzsW48d/ptKG6f60Tan0LjoRmf7EThlikBCXSUwHhK3xX9pKO1WLgEJFCXwMBT9LNZc0fM+zfoILRc9ZZ8XhXtj+IU3EHolerl7U5T3kPopWpR1tkofg6I+ee2W7bbSUACPSFwPbXu2JOarVQCEphPoN8InlH7HObGS2XGkJ+EzmA6/gl4Hq2KXkYT0VGsey95VulQCvop+gU6r1JoPP9+WxTvpZ9ZmWcmAQnkgADHh3jozRy0HtMP5iBkQ5RA4QgMHMHPbyA75DPoMLQiMzZCn0Br83k1dADK0tzjFrwbKX9LtA46DYWhx/PvZ7DscRTTJglIIF8EYhS/a75CNloJFIdATYOvbh7m+hyKN8v9rXp+1tOUPx19lHL/G01AHhiyhmx5EugugeuobsfuVmltEpBAH4GFGnzfit3KMfmLqGt3FGcPnutWvdYjAQlkS4B9+SlKnMZp+s2yLdnSJCCBZggMb2albq9TOTDsHfVycFifbCTz7lxYHKy7POvMfzBPjXXjgsHFa8x3lgQk0DkC8cCsndFdnavCkiUggVoEkjT4AYGO4/MaKF56s7AUt9X9Y52VtmJ+XCxokoAEukcgnmp3Dv98n84/6XO7V601SUACyRs8B4WTm+0m1r2EdUODEgeY7zIz7ts3SUACXSLAPvki+95kqnsXurlL1VqNBCQAgeR+g+dgMBzVO81up0lAAvkjcA0h75q/sI1YAvkmkITBY+gj0Ckonpw3G01leiaahOIeeZMEJJBfAhMIfRv25ZH5bYKRSyB/BJIweLCdgd6B4uU28ZKbiCsethO/ux/BgeFIcpMEJJBDApymn0HYt6Htcxi+IUsgtwRSMfi4Le5wDgT3xMEARZqG4ql5x6J4qp1JAhLIL4E4TR/7uUkCEugSgVQMfhLtjSvga6W9mDml1gLnSUACuSHwZyJdm7NxXuiamy4z0LwTSOUq+hMAeQE7f7xv/hEUr4iN+9Y3RBHjHsgkAQnklABn4+K59HFPfIzif57TZhi2BHJFIAmDZ+e/k51/c8jFy2XGopVRjNrPRBNYPo/cJAEJ5JtAnKb/GtLg892PRp8TAkkYfLDCw18luyEn3AxTAhJokQD7+IP8I/8G2oTpTF9Y1WIori6BUhBI5Tf4UsC2kRKQwCJXweD9cpCABDpPQIPvPGNrkIAE3iQQv8O/l1H8iDdnOSUBCXSCgAbfCaqWKQEJ1CTAqfmXWXAP2rnmCs6UgAQyI6DBZ4bSgiQggSYJXMl69V4K1WQRriYBCSyMgAa/MEIul4AEsiYQ98SP4TT9qlkXbHkSkMCbBDT4N1k4JQEJdIEAp+njtter0d5dqM4qJFBaAhp8abvehkugpwQup/bdGMUnc6tuT2lYuQQ6QECD7wBUi5SABBoTYBD/PGs8hN7beE2XSkAC7RLQ4Nsl53YSkMBQCVxBAb5IaqgU3V4CdQho8HXAOFsCEug4gZuoIS62W63jNVmBBEpIQIMvYafbZAmkQIDT9HOJI0bx+6YQjzFIoGgENPii9ajtkUC+CMQ98bszil8qX2EbrQTSJ6DBp99HRiiBwhJgFP8Cjbsd7VrYRtowCfSIgAbfI/BWKwEJLCDwG6Y+uOCTExKQQCYENPhMMFqIBCTQLgFG8fFs+rmcpt+s3TLcTgISGExAgx/MxDkSkED3CVxKleO6X601SqC4BDT44vatLZNAnghcQ7AbMYpfOU9BG6sEUiagwafcO8YmgZIQ4DT96zQ1Hl/7oZI02WZKoOMENPiOI7YCCUigSQJxsV08n37pJtd3NQlIoAEBDb4BHBdJQALdI8Ao/iVqm4h88E33sFtTgQlo8AXuXJsmgRwS+BUxf4BR/GI5jN2QJZAUAQ0+qe4wGAmUmwCj+Mch8DDardwkbL0Ehk5Agx86Q0uQgASyJRCj+AOzLdLSJFA+Ahp8+frcFksgaQKVB9+8wml63xWfdE8ZXOoENPjUe8j4JFBOAhfQ7H8uZ9NttQSyIaDBZ8PRUiQggQwJMIqPq+mHM4rfJsNiLUoCpSKgwZequ22sBHJF4HyiPThXERusBBIioMEn1BmGIgEJvEmAUfwf+TSSUfwWb851SgISaJaABt8sKdeTgAR6QeA8Kj20FxVbpwTyTkCDz3sPGr8ECkygahS/VYGbadMk0BECGnxHsFqoBCSQIYFzKOsTGZZnURIoBQENvhTdbCMlkF8CjOJvInp+ive++Pz2opH3goAG3wvq1ikBCbRK4CdscBgm7zGrVXKuX1oC7iyl7XobLoH8EGAUfxvR/g29Pz9RG6kEektAg+8tf2uXgASaJ3A2q36MUfyI5jdxTQmUl4AGX96+t+USyBUBRvEPEvDdaFyuAjdYCfSIgAbfI/BWKwEJtEUgfosfxyh+dFtbu5EESkRAgy9RZ9tUCeSdAKP4+B3+SvTJvLfF+CXQaQIafKcJW74EJJA1gZ9T4NaM4tfLumDLk0CRCGjwRepN2yKBEhBgFP8qzfwvdEwJmmsTJdA2AQ2+bXRuKAEJ9IoAJn911M0ofrdexWC9EkidgAafeg8ZnwQkUI/A6Sw4HJNfut4KzpdAmQlo8GXufdsugRwTYBT/MOGPR5/KcTMMXQIdI6DBdwytBUtAAl0gEC+i2ZZR/IZdqMsqJJArAhp8rrrLYCUggWoCjOJn8TlO1XvBXTUYpyUAAQ3er4EEJJBrApj8zTRgCqP4Q3LdEIOXQMYENPiMgVqcBCTQEwIxit8Xk1+zJ7VbqQQSJKDBJ9gphiQBCbRGgFH8VLY4C30Jkx/W2tauLYFiEtDgi9mvtkoCpSOAyV9Do19EHy1d422wBGoQ0OBrQHGWBCSQWwLfJvJ9GMSvn9sWGLgEMiKgwWcE0mIkIIHeE2AU/xJRnIa+gsmP6H1ERiCB3hHQ4HvH3polIIEOEMDkb6LYe9GxHSjeIiWQGwIafG66ykAlIIEWCJzBuhszit+xhW1cVQKFIqDBF6o7bYwEJBAEGMW/RnYSOhaTHxPzTBIoGwENvmw9bnslUBICmPyjNDVeK3sSJj+8JM22mRJYQECDX4DCCQlIoGgEMPkraVMY/YFFa5vtkcDCCGjwCyPkcglIIO8ETqUBOzCK3yfvDTF+CbRCIHmDZ6dcDC3RSqNcVwISkEAfAUbxs5n+KvoYx5KN++abS6DoBJIweHa61dD5aAa6Fq1TBX4c0z+v+uykBCQggZYIYPLPs8E30IkcX1ZqaWNXlkBOCSRh8LA7Hj2LtkQT0QR2wvXITRKQgAQyIYDJ30lB56NvcXxZMpNCLUQCCRNI5crSPWC0OTtgvNv5BHa++8ivJn9PwuwMTQISyBkBjjGXc1xZg7C/Tv5FPs/LWRMMVwJNE0hlBB+GHqP3+Yl97kIm4kEVv0MrzJ/pHwlIQAIZEOD48gOKeQMdmkFxFiGBZAmkYvDxmsdfx3/UfaTYCeN50peg7/bNM5eABCSQEYF/o5wtOOZ8PKPyLEYCyRFI4hQ9Zn4NO9ra0FmrmhDzT2L+H5kXy0wSkIAEMiHAsWU2x5YvUdiZ5NP5fHEmBVuIBBIikMoIPh4tORPFCyL6JeaNR+f0m+kHCUhAAkMkwHHlFYo4Du2Pyb9viMW5uQSSI5DECL4RFXa89Vk+kp0xroBtmFj3U6zw4TorxYU1D9RZ5mwJSKCEBDiuvMBx47M0/QfkY/h8bgkx2OSCEkje4OEe98GHOR+2sD5g5zybdUKDEjvvPzFz9KAFzpCABEpNgOPGMxwfjgbC/eRv4/M3Sw3ExheGQDKn6PuIsoMNRwuMmJ3tZLRQc+/b3lwCEpBAqwQ4xjzNNqujuPBup1a3d30JpEggCYNnhxqBTkFPAikeKzmV6ZloEvJWlhS/OcYkgYIRwORfpklxuj5eMetv8gXr3zI2J5VT9GcAf2W0J4o3P81Eo9BG6HR2tiXZ+c5k2iQBCUigYwQ4zjzB8eYoKug77vxPxyqzYAl0mEASI3jauDs6nJ3rHjQDRZqG4rG1x6L9kEkCEpBAxwlw3InT9Z9GcXW9ZxA7TtwKOkUgFYOfRAPr/e61F8umdAqA5UpAAhIYSACTj2POZ9A2mPzBA5f7WQJ5IJDKKfoTgHUBO1K8dOYRNB0thzZEEWM8q94kAQlIoGsEMPnpHJOOocJ/J/9n8ouZ92rXArAiCQyRQBIjeHaauMd9cxSPqr0GTUbXodi5Nmb54+QmCUhAAl0lwLFnNvo8la6I4l55XzXb1R6wsqEQSGUEH0+yi/+MbxhKY9xWAhKQQCcIcHyKi+4+QNlnk3+Vz/GzokkCSRNIYgSfNCGDk4AEJAABTP03ZN9AcUvvPkKRQOoENPjUe8j4JCCBZAhg8rcTTDwSex9M/iCUzFnQZCAZSDIENPhkusJAJCCBPBDA5J8jzriNbiw6F5NfldwkgeQIaPDJdYkBSUACqRPA5OPiu/8gzl+huPjufanHbHzlI6DBl6/PbbEEJJARAUz+KoqKF9WMw+RPQktnVLTFSGDIBDT4ISO0AAlIoMwEMPl4h8YRKB6O8wtMfssy87Dt6RDwApF0+sJIJCCBnBLA5N8g9DhVfxP558lvI/8R830wTk77tAhhO4IvQi/aBglIIAkCGHo8tOvjaC6Kp3Nuk0RgBlFKAhp8KbvdRktAAp0iEKN2dDrln4SOxuRPRKM7VZ/lSqAeAQ2+HhnnS0ACEhgCAUz+bjb/GIpHbf8ck48L8YYxbZJAVwho8F3BbCUSkEAZCWDyb6Cf0fbD0bvQOXj8ZuQmCXScgBfZdRyxFUhAAmUngMnHO+Y/i7lvR/458rjy/geV+WXHY/s7RMARfIfAWqwEJCCBgQQw9JuZ91EUF+P9CKM/Fi03cD0/SyALAhp8FhQtQwISkECTBDD5uegiVv8weg39EpP/BBrZZBGuJoGmCGjwTWFyJQlIQALZEsDkZ6KzKPUQFO+bj9vqDkZLZVuTpZWVgAZf1p633RKQQBIEMPkX0X8STDwNbxV0MSZ/CFomiQANIrcENPjcdp2BS0ACRSKAyT+HvkWbPoHeiuLU/ZFohSK107Z0j4AG3z3W1iQBCUhgoQQqRv8dVjy0snI83/6LaO2FbuwKEqgioMFXwXBSAhKQQCoEMPqp6Ezi+SB6DJ2CyZ+E3pNKjMaRNgENPu3+MToJSKDkBDD5WSiuuj8QXYcOwuQvRB9B3mJX8u9Ho+b7oJtGdFwmAQlIIBECmPw8QvlTCGNfi3w/9N9MTyS/gsW3k5sksICAI/gFKJyQgAQkkA8CmPmj6DSi3ReFsR+G0V+CDkUr5aMVRtlpAo7gO03Y8iUgAQl0iAAmHw/KuSKEsa9Jvhf6MdOTyf8QYp1Z5KYSEnAEX8JOt8kSkEDxCGDkj6EzaNn+6EIU76KPe+q/jnZEDugAUqZkh5ept22rBCRQeAKY/FwaeUsIU1+SfHsUI/sv8fkm8hvQLaz3OrmpwAQ0+AJ3rk2TgATKTQATfxUC14Qw93gyXpj9nugEPt9KPgHdxHozyU0FI6DBF6xDbY4EJCCBWgQw8RnMvyqEucfz7t9d0XF8fpTpMPuJrBevsjUVgIAGX4BOtAkSkIAEWiGAiceFd3FP/XWYe/jAO9G70Lf4vBh5vNY2br+7k3Vnk5tySECDz2GnGbIEJCCBrAhg4G9QVpyuD30fgx9LvjU6AP0bnx8kD8O/g3UfIjflhIAGn5OOMkwJSEAC3SCAiU+mntBFmPsI8s3RFigu0ou33d2G7gix7hPkpkQJaPCJdoxhSUACEug1AQw8Ts/PvyI/YsHg30IWp/PD9D/E59HkMfK/F93D+g+TmxIhoMEn0hGGIQEJSCB1Ahj4y8R4fUVh+MszvRnaFO3L55XJ70L/iyah+9gmruQ39YCABt8D6FYpAQlIoAgEMO+ptKPa8Jfm88YoDD9ed7supv80+QMoTD8MfzK5qQsENPguQLYKCUhAAmUggHnH/fQLTulHmzH4dcnegWKkP47PbyV/HN2HwvgfZDtvzQNE1kmDz5qo5UlAAhKQwAICmHdceR+6LGZi8PF0vQ3R+ijuxf8k81YgD8OP3/Djnvz72e4xctMQCGjwQ4DnphKQgAQk0BoBjDt+k7+zovkbY/Dx4J310DooLuDbm3ljyZ9DYfh/RZPRY2w/hdzUBAENvglIriIBCUhAAp0jgGnHg3furmh+RRh8PHBnLFq7kn+IfJ3KPwMx0p+M4ja9RyKnjBfITVUENPgqGE5KQAISkEAaBDDsOUQS5h1akCoGHyP9NVCYf7w1bw3mjyKP3/ZjxB+/6Ycmo2coKx7mU7qkwZeuy22wBCQggfwSqIz247770IJUMf6xzFi9oveTvx29jWXTyWO0HwrjfwY9hZ6lvLnkhUwafCG71UZJQAISKBeBivHfT6tD/RIGvzIzwvjHoFXRdpXpFSrmH4Yf5h/5s305ZcYLenKbNPjcdp2BS0ACEpBAMwQw6rhYL9QvYe7DmBHmH8Yfium4pS/ylVg8gjy2+yFlxCN6c5U0+Fx1l8FKQAISkEBWBDDteZQVI/bQ7QPLxeDj6v4w/lyO5DX4gT3qZwlIQAISkAAE8P+4ur/fRX55ArNonoI1VglIQAISkIAEmiOgwTfHybUkIAEJSEACuSKgweequwxWAhKQgAQk0BwBDb45Tq4lAQlIQAISyBUBDT5X3WWwEpCABCQggeYIaPDNcXItCUhAAhKQQK4IaPC56i6DlYAEJCABCTRHQINvjpNrSUACEpCABHJFQIPPVXcZrAQkIAEJSKA5Ahp8c5xcSwISkIAEJJArAhp8rrrLYCUgAQlIQALNERj2/8/ab27lPK/FSwM2I/4r0Z1ttmMXtpvZ5rZl3Cz+eVwCxbOcTc0RiDdXRZr9/5l/myAQLwN5DRX2nd5NMGh1laXZwGNZa9Ri35zQ2iYL1l6Lqd3w2qcXzOnSRGkMfqg8+QdhPB2041DLKcv28NqYth4Os6PL0uahthNmh0QZMDtvqGWVZXuYnUFbfwyzSWVp81Db6bGsdYJ5ZeYp+tb72i0kIAEJSEACyRPQ4JPvIgOUgAQkIAEJtE5Ag2+dmVtIQAISkIAEkiegwSffRQYoAQlIQAISaJ2ABt86M7eQgAQkIAEJJE9Ag0++iwxQAhKQgAQk0DoBb5Nrkhm3SazCrTjPNrl66VeD1+JAGAWzF0sPo0kAMFsmVoXZjCY3Kf1qMFsBCNNh9nrpYTQJwGNZk6CqVssrMw2+qhOdlIAEJCABCRSFgKfoi9KTtkMCEpCABCRQRUCDr4LhpAQkIAEJSKAoBDT4ovSk7ZCABCQgAQlUEdDgq2A4KQEJSEACEigKAQ2+KD1pOyQgAQlIQAJVBDT4KhhOSkACEpCABIpCQIMvSk/aDglIQAISkEAVAQ2+CoaTEpCABCQggSDAw22Go2F5pqHBL6T36N8d0Y3oMfQbNHohm5R6MXwWR99Gt1X0H+QjSg2lycbDaRR6HO3a5CalXQ1Go9GF6D50K/rn0sJosuEw+kd0HboT/Rd6a5Oblm412KxGox9Ha/U1nnnxnbsIPYTuRdv1LUs11+Ab9AwduCKLL0CfRuuhx9CpyFSfwCEsWhttW9FG5B9FpoUTOJ1VRi18NdeAwCnoER5RG9+vvdBX2V81LEDUSrBZivk/QZ+B2ebk8QjpLyHTAAKw+gSzbkADv08/Zt49KLzgaHRphSuTaSYNvnG/bMni+9kh7qk86/oMPn+w8SalX3o3BD4fvCrM7uPzu0tPZSEAOFDsxyqvogcXsmrpF8NqMSAciv6zcoB9me/aBmhK6eHUBxDH+hiwzKqs8gr5mMq0WYUA36cRTB6A9kAvV2b3Ze9n4kd8zyKNZ/op9B6UbNLgG3fN6iyufsHM83xeji/BEo03K+9Svvh/QY8EATgtTfZhdEV8NtUmAKeVWPI15IiqNqKBc1dmRhjUF1CY+jQYforcVIcA++RMFsWo84+wuoT8I+gkZKoiAKfZ6H2o3z/aMIufZpdg/tSq1Z9jOvbdZJMG37hr4k1VsWP0pb7/fkf2zTCvTYAdIv4TvhCF4ccBxVSfQJz6OxFO0+uv4pIqAnHqdHkUv5OuisahGM37jzcgaiXYLMn83VH8zPhXFG97jFP1puYIDPSC2Cr8YP4bIJsrovtrafCNmb/A4urfRJfl86sciF9qvFm5l1bM/VIoxKnUGMGb6hCA1YEsimsW4oxH/Jb8FvQupseSm2oTiFOncew6hX0xTs/HGaIwrTAwU20CuzB7M1jthL7CdPzE8T2+Z8Nqr+7cAQQGekEsDm94ZsB6SX0cnlQ06QUTv7GMrQorpp+s+uzkAAIcL+I7FSP3MPcPcDCZPWAVP/YnEP80zkBx0I00Bh2EHkCTkWkwgfjZbA6K0/R9Kb5nnlnrozE4j7Mdf66afQfTYVChaVXznaxBgOPYyxzbZqFVmQ5fiDQWPRETqSZH8I175noWr0Wn7oLi9N9nkaebGzP7DItjRPpxNBJuy6NlGm9S3qUcLH6CtusTJO5Dx/L54vJSadxy2LzGGpeio2JNvl9xJf2W6Ob4bKpJII5bO8BqlcrSGMFfC0vNvSaumjMvYu4XYBj3x+/P9FwU+2uyyRF8g66JAwkdGYZ1GYod4UE0/6BCbqpN4Dhmr4GqT11dxec9a6/uXAm0RSD+2b6Y/TN+f4/f449kf/XsWh2UsJkCq1NY/Fvy+If7EfS1Oqs7uzaBbzD7cvQ4it/fPwnX18mTTcMIMNngUgmMHSL+EVoWVv72nkqnGIcEIMC+uQJZ/A4fp+xNTRCA2Sh4eUFnE6xqrQK/t8Iv7t5IPmnwyXeRAUpAAhKQgARaJ+Bv8K0zcwsJSEACEpBA8gQ0+OS7yAAlIAEJSEACrRPQ4Ftn5hYSkIAEJCCB5Alo8Ml3kQFKQAISkIAEWiegwbfOzC0kIAEJSEACyRPQ4JPvIgOUgAQkIAEJtE5Ag2+dmVtIQAISkIAEkiegwSffRQYoAQlIQAISaJ2ABt86M7eQgAQkIAEJJE9Ag0++iwxQAhKQgAQk0DoBDb51Zm4hAQlIQAISSJ6ABp98FxmgBGjkEm8AAANZSURBVCQgAQlIoHUCGnzrzNxCAhKQgAQkkDwBDT75LjJACUhAAhKQQOsENPjWmbmFBCQgAQlIIHkCGnzyXWSAEpCABCQggdYJaPCtM3MLCUhAAhKQQPIENPjku8gAJSABCUhAAq0T0OBbZ+YWEpDAAALDhg07ET1Rpd8OWMWPEpBAlwkM73J9VicBCeSMAKa9BSFvNW/evLMahL49y45EN1TWmdtgXRdJQAJdIOAIvguQrUICKRHAsEeis9DTaCr6NVq2QYxjWbZLg+Wx6B/Qn9G6aDj/DLxKbpKABHpIQIPvIXyrlkCPCBxLvWujzdG2aFP0T6hfwvTHos2YuSZ6S0xXPg9cbzVmjEJ/RFeiJ1lvZ3KTBCTQQwKeou8hfKuWQI8IXEC9P2OU/TeMeCmmH0Ir14jly8zbBy1Z0e9iHbYZw7bzYrqSoozz0OfRK+hfUWx7PTJJQAI9IjCs/37aoyisVgIS6BoBDHpVKjsN7YCmoMXRBRwLTiIflFh/f2YeyPJxgxbWmMH6KzL7abQq20T5JglIoAcEPEXfA+hWKYEeE4iL5aaiTTDgjclvRcNQWwlDj1P3H6vaeAmmZ6MYzZskIIEeEdDgewTeaiXQQwIrUPeNmHucoo/R/G4oRvH10gMsuLjeQubHKP37lLU6Wozpz6DrKN8L7QBhkkCvCHiKvlfkrVcCPSKACX+QquMU/XMoRu53oBUw5API20qU+S9seASK0ftL6EOU9zC5SQIS6BEBDb5H4K1WAr0kgCGHsYepv5BVHJUyl6fMF7Mq03IkIIH2CWjw7bNzSwlIQAISkECyBPwNPtmuMTAJSEACEpBA+wQ0+PbZuaUEJCABCUggWQIafLJdY2ASkIAEJCCB9glo8O2zc0sJSEACEpBAsgQ0+GS7xsAkIAEJSEAC7RPQ4Ntn55YSkIAEJCCBZAlo8Ml2jYFJQAISkIAE2iegwbfPzi0lIAEJSEACyRLQ4JPtGgOTgAQkIAEJtE9Ag2+fnVtKQAISkIAEkiWgwSfbNQYmAQlIQAISaJ+ABt8+O7eUgAQkIAEJJEtAg0+2awxMAhKQgAQk0D4BDb59dm4pAQlIQAISSJaABp9s1xiYBCQgAQlIoH0CGnz77NxSAhKQgAQkkCyB/wM6npBwUsieQwAAAABJRU5ErkJggg==" alt="plot of chunk unnamed-chunk-1"/> </p>
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