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        "value": "\nBy definition, some hierarchical clustering algorithms - such as\n`scipy.cluster.hierarchy.ward` - produce monotonic assignments of\nsamples to clusters; however, this is not always true for other\nhierarchical methods - e.g. `scipy.cluster.hierarchy.median`.\n\nGiven a linkage matrix ``Z`` (as the result of a hierarchical clustering\nmethod) we can test programmatically whether it has the monotonicity\nproperty or not, using `scipy.cluster.hierarchy.is_monotonic`:\n\n"
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        "value": "\nNote that this method is equivalent to just verifying that the distances\nin the third column of the linkage matrix appear in a monotonically\nincreasing order."
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