Exact(3)
This allows us to formally express consistency checks and mapping rules between specific metamodel concepts.
There is a version of the second incompleteness theorem for Q (see Bezboruah & Shepherdson 1976) but there has been some debate on whether the relevant statement in Q can really be taken to express consistency, Q being so weak (see Kreisel 1958; Bezboruah & Shepherdson 1976; Pudlák 1996; Franks 2009).
Moreover, the Intra Class Correlation that is a measure to express consistency and agreement between 2 methods was superior to 95%, demonstrating a very good reliability between uniaxial and triaxial accelerometers.
Similar(57)
Inter-dependency constraints can be modelled to express the consistency semantics necessary to combine component object versions into useful configurations.
To do this, we first express the consistency constraints of problem (8) more compactly by using vector notations, which denote a collection of the local and global variables associated with BS n.
Let ⊢C be the classical consequence (or derivability) relation and express the consistency of the set of formulas Γ such that if A and B then (A * B) where * is any two place logical connective.
By using the equivalence between the sets { ( n, l ) | l ∈ L int, n ∈ N int ( l ) } and { ( n, l ) | n ∈ N ,l ∈ I int ( n ) }, let us express the consistency constraints of problem (8) as x n, nl = z nl, n ∈ N ,l ∈ I int ( n ) x tran ( l ), nl = z nl, l ∈ L int, n ∈ N int ( l ).
Furthermore, might there not be other sentences which are provable and also express the consistency of F? Giving a rigorous proof of the second theorem in a more general form that covers all such sentences, however, has turned out to be very complicated.
The weights of the edges were set to express the consistency of the cluster-similarity across the individual clustermaps and were computed as follows.
They expressed less consistency in their expressions of concerns about risk and described inconsistent and contradictory patterns of protective behavior to avoid risk.
Following Feferman (1960), it is customary to say that whereas the first theorem and its relatives are extensional results, the second theorem is intensional: it must be possible to think that Cons F) in some sense expresses the consistency of F that it really means that F is consistent.
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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