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We show that there exists a level of property rights completeness that leads to first-best resource exploitation; this level is different from either absent or complete property rights.
A consistent subbase A ⊆ Ψ is said to be lexicographically preferred to a consistent subbase B ⊆ Ψ, denoted by A ⊳ lex B, if there exists a level i(1 ≤ i ≤ m) and j(1 ≤ j ≤ n) such that: ( | A ∩ S i E | > | B ∩ S i E | ) ∧ ( ∀ x ∈ [ 1, i ), | A ∩ S x E | = | B ∩ S x E | ) ∧ ( | A ∩ S j E | > | B ∩ S j E | ) ∧ ( ∀ x ∈ [ 1, j ), | A ∩ S y E | = | B ∩ S y E |. Definition 13.
We hypothesize that there exists a level of independence among candidate time points that can be exploited to speed up our ability to evaluate the impact of multiple measurements on parameter uncertainty.
▪ Intuitively, Theorem 1 tells us that whenever there exists a level- k network N representing 𝒞, there also exists such a network N′ whose biconnected components correspond to the connected components of the incompatibility graph.
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If there exists a level-k network representing 𝒞, then there also exists such a network satisfying the decomposition property w.r.t.
Moreover, we prove that C ass constructs a level-1 or level-2 network representing 𝒞 whenever there exists a level-1 or level-2 network representing 𝒞, respectively.
If C is linear or concave, then there exists a capacity level μ**, such that μ**>μ* and Π* = 0, from which optimal expected profits are positive and increasing in μ.
For these conditions there exists a high level of agreement about the nature of the condition and the range of treatment alternatives.
It is likely there exists a significant level of redundancy in this system as we were able to detect multiple EGFR ligands to be increased in the conditioned medium of ZZ cultures.
If, then there exists a critical point of at level such that, 0 ( since and ).
This observation highlighted a previously overlooked aspect of the ambush hypothesis -- the selection for OSCs can occur simultaneously at multiple levels and there exists a complex layer of interaction among them.
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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