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The optimal δ can thus be formally defined in Eq. 1: delta_{text{best}} = text{argmax}left(F1_{delta_{i}}^{g_{k},f}right), (1).
The problem can be formally defined in the following fashion: [Privacy-Preserving weighted Slope One Predictor] Given a set of m users u1,…,u m that may rate any number of n items i1,…,i n, build the weighted Slope One predictor for each item satisfying the following two constraints: no submitted rating should be deterministically linked back to any user.
Another work is BioPaxRules which contains rules that cannot be formally defined in the BioPAX format, implemented via API (Paxtools) (http://www.biopax.org).org
The BioPAX specification contains a number of best practices and constraints that cannot be formally defined in OWL (e.g. regarding external ontology terms, standard identifiers or the constraint that each side of a transport interaction must contain participants from different cellular compartments).
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Where once that family may have been formally defined in racialised terms it is now open to non-whites and non-Europeans.
The base of the Ludlow Series was formally defined in 1980 on authority of the International Commission on Stratigraphy (ICS) with a global stratotype section and point (GSSP) in the quarry at Pitch Coppice on the south side of the Ludlow-Wigmore Road, 4 km (2.5 miles) southwest of Ludlow.
Security indices are formally defined in the section.
It is formally defined in Definition 8 condition (2).
These estimators are formally defined in the following.
These parent child relationships are formally defined in the metadata sent to DataCite.
The VC-dimension is formally defined in terms of set shattering, as follows.
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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