Change names of the *.q functions to *_q
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index.html
68
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@@ -1842,13 +1842,17 @@ Environment.2
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\right.
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\]</p>
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<pre class = 'prettyprint lang-r'>log.q = function(x,q=1) {
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<pre class = 'prettyprint lang-r'>log_q = function(x,q=1) {
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if (q==1)
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log(x)
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else
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(x^(1-q)-1)/(1-q)
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}</pre>
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</article></slide><slide class=""><hgroup><h2>Impact of \(q\) on the <code>log_q</code> function</h2></hgroup><article id="impact-of-q-on-the-log_q-function" class="smaller ">
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<p><img src="index_files/figure-html/unnamed-chunk-45-1.png" width="720" /></p>
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</article></slide><slide class=""><hgroup><h2>And its inverse function</h2></hgroup><article id="and-its-inverse-function" class="smaller flexbox vcenter">
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<p>\[
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@@ -1860,7 +1864,7 @@ Environment.2
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\right.
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\]</p>
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<pre class = 'prettyprint lang-r'>exp.q = function(x,q=1) {
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<pre class = 'prettyprint lang-r'>exp_q = function(x,q=1) {
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if (q==1)
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exp(x)
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else
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@@ -1873,8 +1877,8 @@ Environment.2
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^qH = - \sum_{i=1}^S pi \times ^q\log pi
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\]</p>
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<pre class = 'prettyprint lang-r'>H.q = function(x,q=1) {
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sum(x * log.q(1/x,q),na.rm = TRUE)
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<pre class = 'prettyprint lang-r'>H_q = function(x,q=1) {
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sum(x * log_q(1/x,q),na.rm = TRUE)
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}</pre>
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<p>and generalized the previously presented Hill's number</p>
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@@ -1883,28 +1887,28 @@ Environment.2
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^qD=^qe^{^qH}
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\]</p>
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<pre class = 'prettyprint lang-r'> D.q = function(x,q=1) {
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exp.q(H.q(x,q),q)
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<pre class = 'prettyprint lang-r'> D_q = function(x,q=1) {
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exp_q(H_q(x,q),q)
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}</pre>
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</article></slide><slide class=""><hgroup><h2>Biodiversity spectrum (1)</h2></hgroup><article id="biodiversity-spectrum-1" class="smaller flexbox vcenter">
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<pre class = 'prettyprint lang-r'>H.spectrum = function(x,q=1) {
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sapply(q,function(Q) H.q(x,Q))
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<pre class = 'prettyprint lang-r'>H_spectrum = function(x,q=1) {
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sapply(q,function(Q) H_q(x,Q))
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}</pre>
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<pre class = 'prettyprint lang-r'>D.spectrum = function(x,q=1) {
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sapply(q,function(Q) D.q(x,Q))
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<pre class = 'prettyprint lang-r'>D_spectrum = function(x,q=1) {
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sapply(q,function(Q) D_q(x,Q))
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}</pre>
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</article></slide><slide class=""><hgroup><h2>Biodiversity spectrum (2)</h2></hgroup><article id="biodiversity-spectrum-2" class="smaller ">
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<pre class = 'prettyprint lang-r'>library(MetabarSchool)
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qs = seq(from=0,to=3,by=0.1)
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environments.hq = apply(environments,MARGIN = 1,H.spectrum,q=qs)
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environments.dq = apply(environments,MARGIN = 1,D.spectrum,q=qs)</pre>
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environments.hq = apply(environments,MARGIN = 1,H_spectrum,q=qs)
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environments.dq = apply(environments,MARGIN = 1,D_spectrum,q=qs)</pre>
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<p><img src="index_files/figure-html/unnamed-chunk-51-1.png" width="720" /></p>
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<p><img src="index_files/figure-html/unnamed-chunk-52-1.png" width="720" /></p>
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</article></slide><slide class=""><hgroup><h2>Generalized entropy \(vs\) \(\alpha\)-diversity indices</h2></hgroup><article id="generalized-entropy-vs-alpha-diversity-indices" class="smaller ">
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@@ -1934,32 +1938,32 @@ environments.dq = apply(environments,MARGIN = 1,D.spectrum,q=qs)</pre>
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</article></slide><slide class=""><hgroup><h2>Biodiversity spectrum of the mock community</h2></hgroup><article id="biodiversity-spectrum-of-the-mock-community" class="smaller ">
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<pre class = 'prettyprint lang-r'>H.mock = H.spectrum(plants.16$dilution,qs)
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D.mock = D.spectrum(plants.16$dilution,qs)</pre>
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<pre class = 'prettyprint lang-r'>H.mock = H_spectrum(plants.16$dilution,qs)
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D.mock = D_spectrum(plants.16$dilution,qs)</pre>
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<p><img src="index_files/figure-html/unnamed-chunk-53-1.png" width="720" /></p>
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<p><img src="index_files/figure-html/unnamed-chunk-54-1.png" width="720" /></p>
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</article></slide><slide class=""><hgroup><h2>Biodiversity spectrum and metabarcoding (1)</h2></hgroup><article id="biodiversity-spectrum-and-metabarcoding-1" class="smaller smaller">
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<pre class = 'prettyprint lang-r'>positive.H = apply(positive.count.relfreq,
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MARGIN = 1,
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FUN = H.spectrum,
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FUN = H_spectrum,
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q=qs)</pre>
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<p><img src="index_files/figure-html/unnamed-chunk-55-1.png" width="720" /></p>
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<p><img src="index_files/figure-html/unnamed-chunk-56-1.png" width="720" /></p>
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</article></slide><slide class=""><hgroup><h2>Biodiversity spectrum and metabarcoding (2)</h2></hgroup><article id="biodiversity-spectrum-and-metabarcoding-2" class="smaller flexbox vcenter smaller">
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<p><img src="index_files/figure-html/unnamed-chunk-56-1.png" width="720" /></p>
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<p><img src="index_files/figure-html/unnamed-chunk-57-1.png" width="720" /></p>
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</article></slide><slide class=""><hgroup><h2>Biodiversity spectrum and metabarcoding (3)</h2></hgroup><article id="biodiversity-spectrum-and-metabarcoding-3" class="smaller smaller">
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<pre class = 'prettyprint lang-r'>positive.D = apply(positive.count.relfreq,
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MARGIN = 1,
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FUN = D.spectrum,
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FUN = D_spectrum,
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q=qs)</pre>
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<p><img src="index_files/figure-html/unnamed-chunk-58-1.png" width="720" /></p>
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<p><img src="index_files/figure-html/unnamed-chunk-59-1.png" width="720" /></p>
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</article></slide><slide class=""><hgroup><h2>Impact of data cleaning on \(\alpha\)-diversity (1)</h2></hgroup><article id="impact-of-data-cleaning-on-alpha-diversity-1" class="smaller ">
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@@ -1992,19 +1996,19 @@ positive.clean.count.relfreq = decostand(positive.clean.count,
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positive.clean.H = apply(positive.clean.count.relfreq,
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MARGIN = 1,
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FUN = H.spectrum,
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FUN = H_spectrum,
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q=qs)</pre>
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<p><img src="index_files/figure-html/unnamed-chunk-61-1.png" width="720" /></p>
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<p><img src="index_files/figure-html/unnamed-chunk-62-1.png" width="720" /></p>
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</article></slide><slide class=""><hgroup><h2>Impact of data cleaning on \(\alpha\)-diversity (3)</h2></hgroup><article id="impact-of-data-cleaning-on-alpha-diversity-3" class="smaller ">
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<pre class = 'prettyprint lang-r'>positive.clean.D = apply(positive.clean.count.relfreq,
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MARGIN = 1,
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FUN = D.spectrum,
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FUN = D_spectrum,
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q=qs)</pre>
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<p><img src="index_files/figure-html/unnamed-chunk-63-1.png" width="720" /></p>
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<p><img src="index_files/figure-html/unnamed-chunk-64-1.png" width="720" /></p>
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</article></slide><slide class="segue dark nobackground level1"><hgroup class = 'auto-fadein'><h2>\(\beta\)-diversity</h2></hgroup><article id="beta-diversity" class="smaller ">
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@@ -2163,7 +2167,7 @@ data("guiana.samples")</pre>
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<pre class = 'prettyprint lang-r'>s = tag_bad_pcr(guiana.samples$sample,guiana.count)</pre>
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<p><img src="index_files/figure-html/unnamed-chunk-68-1.png" width="720" /></p>
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<p><img src="index_files/figure-html/unnamed-chunk-69-1.png" width="720" /></p>
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<pre class = 'prettyprint lang-r'>guiana.count.clean = guiana.count[s$keep,]
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guiana.samples.clean = guiana.samples[s$keep,]</pre>
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@@ -2178,7 +2182,7 @@ guiana.samples.clean = guiana.samples[s$keep,]</pre>
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<pre class = 'prettyprint lang-r'>s = tag_bad_pcr(guiana.samples.clean$sample,guiana.count.clean)</pre>
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<p><img src="index_files/figure-html/unnamed-chunk-70-1.png" width="720" /></p>
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<p><img src="index_files/figure-html/unnamed-chunk-71-1.png" width="720" /></p>
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<pre class = 'prettyprint lang-r'>guiana.count.clean = guiana.count.clean[s$keep,]
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guiana.samples.clean = guiana.samples.clean[s$keep,]</pre>
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@@ -2193,7 +2197,7 @@ guiana.samples.clean = guiana.samples.clean[s$keep,]</pre>
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<pre class = 'prettyprint lang-r'>s = tag_bad_pcr(guiana.samples.clean$sample,guiana.count.clean)</pre>
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<p><img src="index_files/figure-html/unnamed-chunk-72-1.png" width="720" /></p>
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<p><img src="index_files/figure-html/unnamed-chunk-73-1.png" width="720" /></p>
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<pre class = 'prettyprint lang-r'>guiana.count.clean = guiana.count.clean[s$keep,]
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guiana.samples.clean = guiana.samples.clean[s$keep,]</pre>
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@@ -2260,7 +2264,7 @@ xy = xy[,1:2]
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xy.hellinger = decostand(xy,method = "hellinger")</pre>
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<div style="float: left; width: 50%;">
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<p><img src="index_files/figure-html/unnamed-chunk-79-1.png" width="384" /></p></div>
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<p><img src="index_files/figure-html/unnamed-chunk-80-1.png" width="384" /></p></div>
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<div style="float: right; width: 50%;">
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<p><img src="figures/euclidean_hellinger.svg" width="400px" /></p></div>
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@@ -2301,17 +2305,17 @@ guiana.jac.50.pcoa = cmdscale(guiana.jac.50.dist,k=3,eig = TRUE)</pre>
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</article></slide><slide class=""><hgroup><h2>Principale coordinate analysis (2)</h2></hgroup><article id="principale-coordinate-analysis-2" class="smaller ">
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<p><img src="index_files/figure-html/unnamed-chunk-82-1.png" width="720" /></p>
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<p><img src="index_files/figure-html/unnamed-chunk-83-1.png" width="720" /></p>
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</article></slide><slide class=""><hgroup><h2>Principale composante analysis</h2></hgroup><article id="principale-composante-analysis" class="smaller flexbox vcenter">
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<pre class = 'prettyprint lang-r'>guiana.hellinger.pca = prcomp(guiana.hellinger.final,center = TRUE, scale. = FALSE)</pre>
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<p><img src="index_files/figure-html/unnamed-chunk-84-1.png" width="1152" /></p>
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<p><img src="index_files/figure-html/unnamed-chunk-85-1.png" width="1152" /></p>
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</article></slide><slide class=""><hgroup><h2>Comparing diversity of the environments</h2></hgroup><article id="comparing-diversity-of-the-environments" class="smaller ">
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<p><img src="index_files/figure-html/unnamed-chunk-86-1.png" width="864" /></p>
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<p><img src="index_files/figure-html/unnamed-chunk-87-1.png" width="864" /></p>
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</article></slide><slide class=""><hgroup><h2>Bibliography</h2></hgroup><article id="bibliography" class="smaller unnumbered">
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