Sentence examples for existence in the case from inspiring English sources

Opposition members also facilitate the existence (in the case of the Official Opposition) of a "government in waiting".

Kim and Lee [4] proved that the theory of fuzzy sets, initiated by Zadeh [5], has become a good framework for studying the equilibrium existence in the case of generalized games when the constraints or preferences are imprecise due to the agents' behavior.

The existence of such graphs G for i=2 was established by Balakrishnan and Paulraja [2] and independently by Peyrat, Rall, and Slater [34], who also proved the existence in the cases i=3 and i=4.

Specifically, it can count bringing a person into a flawed existence, even in the case where there is no better existence to be had for that person, as harming that person.

Unfortunately, due to the strong nonlinearities on f1 and f2, the techniques used by Han and Wang [19] and Agre and Rammaha [22] allowed them to prove the local existence result only for n ≤ 3. We note that the local existence result in the case of n > 3 is still open.

In the following, we give an existence result in the case where (H4) is not satisfied.

First, the author discusses the existence results in the case q ∈ C[0, 1], not q(t) = 0 as in [1].

Second, comparing with [1], let us consider the existence results in the case λ > 0, not λ = 1 as in [1].

In the future we will consider the solution existence conditions in the case that (M x)) is not a convex set.

In this section, we establish existence results in the case where the maps (H_{i}) satisfy monotonicity type conditions with respect to each variable (x_{j}).

A striking consequence of these outcome, is that as these theories are formulated with collection, the failure of the existence property in the case of IZF can not be attributed only to collection, but to the interplay between this scheme and unrestricted separation.