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To test the sensitivity to this randomness in the algorithm, we ran Jane 30 times for each problem (each run comprising 45 sets of set size 23).
For the validation sets AID1194, AID 1189 and the test sets of Set 3, the total number of predicted mutagens were 394,788 and 910 respectively.
This j takes a set and regards it as a set of sets.
A set of sets of straight lines is just not the same set of objects as a set of infinite convergent sets of concentric spheres.
The $\subseteq$ relation on any set of sets is an example of a partial order.
(Here, as earlier, i : ℘V → V is the identity, regarding a set of sets as a set).
Similar(44)
In this work, we use the concept of virtually stable schemes to acquire retraction results for the fixed point sets of set-valued mappings in appropriate settings.
In [16 19], optimality conditions and a characterization of solution sets of set-valued optimization problems involving generalized invexity are investigated.
The contemporary classical composer Nico Muhly (last season's Two Boys at the Metropolitan Opera), contributes a beautiful setting of "Set Me as a Seal".
Likewise, it makes no sense to speak of the set-theoretical intersection of π and √ -1), if both are expressed as sets of sets of sets (ad infinitum).
Similar arguments based on the topological structure of fixed points sets of set-valued maps can be used to construct other examples of functions whose level sets are retracts of sorts.
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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