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This leads to our Semantic Relatedness Uniqueness Metric called SeRUM.
Irrespective of the removal rule or uniqueness metric, there was a fundamental difference among different taxa in the proportion of species considered to be unique to primary forest (Figure 2, and see [5]).
Arachnids, fruit-flies and fruit-feeding butterflies were either strongly affected by the removal rule, the uniqueness metric, or both, while other taxa were less sensitive (Figure 2) The removal of singletons had a greater effect on conservation value estimates than the sequential removal of doubletons, trebletons, etc (Figures 1 and 2).
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A subset C of X is called approximatively compact if for any y ∈ X and for any sequence { x n } in C such that d ( x n, y ) → dist ( y, C ) as n → ∞, { x n } has a subsequence which converges to a point in C. In [13], Sturm presented the following result which ensures the existence and uniqueness of the metric projection on a global NPC space.
The existence and uniqueness of the ambient metric at the formal power series level is treated in detail.
Here we will only give the main lines of the uniqueness theory in the metric framework: the key point is to use the EVI condition instead of the EDE.
The reason for introducing this new contraction is that in the framework of partially ordered metric spaces uniqueness of a fixed point requires an additional condition on the space.
The uniqueness of limit in cone metric spaces (when the cone has nonempty interior) implies that.
The Banach contraction principle is one of the most powerful fixed point theorems in nonlinear analysis for proving the existence and uniqueness of fixed points in metric spaces.
This probability, plotted against a parameter (m/ z displacement) to characterize uniqueness, serves as a detection metric.
Now, the uniqueness of the limit in complete metric spaces gives us Tz = z.
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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