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With the exception of humans and the lion, the gray wolf once had a larger distribution than any other land mammal, once ranging over all of North America from Alaska and Arctic Canada southward to central Mexico and throughout Europe and Asia above 20° N latitude.
Another language translatable into L ω1,ω) in this sense is the weak second-order language obtained by adding a countable set of monadic predicate variables to L which are then interpreted as ranging over all finite sets of individuals.
The first-order Barcan formula forces one to interpret quantifiers as ranging over all possible individuals, whatever world one is 'in' no 'expansion' or 'contraction' of the domain can be involved as one traverses the accessibility relation from possible world to possible world.
In the second place, moreover, whereas intersubjective or objective validity in the natural sciences rests ultimately on universal laws of nature ranging over all (physical) places and times, an analogous type of intersubjective or objective validity arises in the cultural sciences quite independent of such universal laws.
D i again is a (set of) demand shifters (ranging over all insurers), and C h is a set of hospital product-specific control variables (cost shifters).
Assume that at step i ≥ 0 we have an annotation associated with each strain S. Annotation in the step i + 1 is obtained by taking all acceptable hits in S for the queries ranging over all genes annotated in, for every other strain T. This process stops when no new acceptable hit is obtained.
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It clearly cannot be taken to range over all sets, as this would lead straight to Russell's paradox: (13′) would then assert the existence of the Russell-set.
Each sample j is transformed into a l-dimensional vector V j)∈ℝ l where the entries V j) l for each marker l are where v ranges over all genes v contained in the subnetwork marker S l and E v, j) is the expression of gene v in sample j.
Dr. Drake's equation consisted, and still consists, of seven factors, which range over all human knowledge and aspiration.
His books ranged over all aspects of racing, including distance, weights, track conditions, prospective payoffs and the impact of jockeys.
A complete solid-solution series involves the substitution in one or more atomic sites of one element for another that ranges over all possible compositions and is defined in terms of two end-members.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com