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Hierarchical cluster analysis is a method of cluster analysis which builds, by steps, a hierarchy of clusters, a dendrogram. Most popular is agglomerative hierarchical clustering (HAC) which starts from individual objects and collects them into bigger and bigger clusters.
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R: What is the distance function equivalent for this formula?
By default cor will compute the Pearson correlation coefficient. Subtracted from $1$ this is know as the Pearson Distance.