Exact(3)
We demonstrate that a number of syntactic generalizations of this language are hard to learn, but that the language can be generalized to clauses of constant locality while still allowing pac-learnability.
Take the constant locality function N : B × B → Z + ; that is, N ( a, b ) ≡ N for all a, b ∈ B. Put X = { b ( n ) | b ∈ B, n ∈ Z } and consider the Lie algebra L = L i e ( X | S ) over a field k of characteristic 0 generated by X with the relations S = ∑ s ( - 1 ) s N s [ b ( n - s ) a ( m + s ) ] = 0 | a, b ∈ B, m, n ∈ Z.
The constant locality of his upbringing, despite the small town from which he came being of the slightly Ritzier sort, had given him a heart and soul of simplicity and certainty, regardless of how complex his mind may have been.
Similar(56)
In the current early stage of PnC research, many developments for PnCs are following a similar track as for PhC; however, there are evidently exclusive aspects of PnC such as the more complex tensorial nature of elastic constants and the fundamental locality of phonons.
The locality is under constant threat of flooding of the River Bure basin, the most famous one being the big 1912 Norwich flood.
Second, the straight-line distances between sympatric localities in this study are between 25 and 80 times larger than the maximal known dispersal distance for Plethodon [ 64], and the geographic distances between sympatric localities at a constant elevation are considerably larger.
The response coefficient of greatest magnitude for glucosylated arabinogalactan corresponds to the equilibrium constant for glucosyl transfer, emphasizing the locality of this metabolite's response.
Secondly, we find that house prices in the provinces where a bank operates affect business lending even when the prices in the locality where firms operate hold constant.
For example, the fraction of all microdiverse clusters within a locality that was endemic remained constant (86%) across all localities and irrespective of community size (taxon richness).
We next show that a more restricted language of clauses with bounded indeterminacy is learnable using k-CNF to represent hypotheses, and that restricting the "locality" of a clause to a constant allows pac-learnability even if an arbitrary amount of indeterminacy is allowed.
The number of breeding sites tested from each locality varied according to their local abundance (range: 1 27; median: 5; interquartile range: 2.25 7), as sampling effort (i.e. the number of man × hours devoted to larval collections in a single locality) was kept approximately constant across localities.
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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