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The reduction algorithm is quadratic in the number of leaves and its complexity is unaffected by the multiplicity of leaf labels or the degree of the nodes.
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Its running time is quadratic in the number of leaves and does not depend on the multiplicity of the leaf labels or the degrees of the internal nodes.
Distribution of leaf length.
In such a case, a leaf in the tree would represent more than one haplotype, although the multiplicity of each haplotype was retained for the purpose of assembling a reference panel.
Multiplicity of activity predominates.
The multiplicity of events provokes curiosity.
Or in the multiplicity of it.
We respect that multiplicity of views.
A government has a multiplicity of choices.
It evolved from a multiplicity of sources.
6 March 1954: Multiplicity of hairstyles for men.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com