The phrase "exists an essential" is not a complete sentence and does not make grammatical sense
It is possible that it could be used as part of a longer sentence, but it would need to be surrounded by proper context and supporting clauses in order to be grammatical. Here is an example of how it could potentially be used in a sentence: "There exists an essential need for effective communication in the workplace, as it is crucial for team productivity and success."
If (q in Q) and (t in M_n) there exists an essential right ideal (E) of (R) such that (qE le R).
In other words, then for some (k_{0}in mathbb {N}) there exists an essential fixed point (bar{x}_{0}in O_{D}(0)subset mathbb {R}^{n}) of the associated Poincaré operator (T_{k_{0}omega}=T_{omega}^{k_{0}}colonoverline{O_{D}(0)}multimap O_{D}(0)), determining this discretely essential subharmonic.
A fixed point class F of f is called a common fixed point class of f and ϕ if there exists an essential fixed point class F ¯ of ϕ which is contained in F. We will again consider the restriction f : ( B n, S n − 1 ) → ( R n, S n − 1 ).
For each (u= f,S in P), given a triangulation of S with a grid size (frac{1}{q}), there exists a minimal essential set in (T u,q)) with respect to P. Theorems 3.1, 3.2 and Theorem 4.1 obtain the stability for approximate fixed points with simplicial methods.
In contrast to rate-based neural field models of the Wilson Cowan type (1.1), there exists a second essential class of neural field models, so-called activity based models, the prototype of which is the Amari equation τ ν ˙ ( t, x ) = − ν ( t, x ) + ∫ D w ( x, y ) f ( ν ( t, y ) ) d y + I ( t, x ).
Health insurance exists as an essential pro-poor initiative and despite its enormous benefits, evidence suggests that maternal healthcare utilisation especially Antenatal Care (ANC) attendance and supervised delivery are still induced by maternal wealth status in some countries [10].
Given this evolutionary history, and the fact that no evidence exists for an essential, embryonic function for any mammalian methyl-CpG binding protein, we propose that the mammalian Mecps have evolved to function predominantly or exclusively to fine tune gene expression in postmitotic tissues.
On an account of this kind, there exists a close and essential relationship between being responsible, where this is understood in terms of being an appropriate target of moral sentiments or reactive attitudes, and being able to hold oneself and others responsible, where this is understood as the ability to experience and entertain moral sentiments.
There exists a connection between essential metabolic genes and structural features of the metabolic network.
The Fourth Estate will cease to exist as an essential part of our democratic republic if every source must be identified.
Theorem 3.3 (i) There exists a dense residual subset G of ℳ such that q is essential for each q ∈ G. (ii) For any q ∈ M, there exists at least one minimal essential subset of F ( q ).
