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An x ∈ S ( w ) is said to be an essential point of S ( w ) if, for any open neighborhood N ( x ) of x in X, there is a positive δ such that N ( x ) ∩ S ( w ′ ) ≠ ∅ for any w ′ ∈ M with ρ ( w, w ′ ) < δ. w is said to be essential if all x ∈ S ( w ) is essential.
(1) If (e(E)={y_{0}}) is a singleton set and an essential set with respect to (rho_{s}), then the point (y_{0}) is said to be an essential point with respect to (rho_{s}).
In this study, we needed to focus on the effects of ecological and energy-efficiency processes in creating vernacular habitats and the selection of optimal building systems and materials in this part of the world, which can be an essential point for sustainable environmental building processes in the future.
An ( x, y ) ∈ F ( q ) is said to be an essential point of F ( q ) if, for any open neighborhood N ( x, y ) of ( x, y ) in X × Y, there is a positive δ such that N ( x, y ) ∩ F ( q ′ ) ≠ ∅ for any q ′ ∈ M with ρ ( q, q ′ ) < δ. q is said to be essential if each ( x, y ) ∈ F ( q ) is essential.
An ( x, y ) ∈ Λ ( q ) is said to be an essential point of Λ ( q ) if, for any open neighborhood N ( x, y ) of ( x, y ) in X × Y, there is a positive δ such that N ( x, y ) ∩ Λ ( q ′ ) ≠ ∅ for any q ′ ∈ M with ρ ( q, q ′ ) < δ. q is said to be essential if each ( x, y ) ∈ Λ ( q ) is essential.
Similar(55)
There is an essential point here for Western information programs like the Voice of America that are directed to Muslims.
Her fears about going into town may be justified, and yet there was something fantastical about her insistent description of the K.L.A. as an illegal organization — as though this were an essential point of local history that I might miss.
I think this is an essential point.
The quality of the environment is an essential point in the care of preterm newborns.
This is an essential point to consider before performing myocardial T1 maps, because it directly influences the accuracy and reproducibility of the final T1 measurements.
The anchoring between a metallic component and a concrete block is an essential point in stability and durability of the structure.
More suggestions(16)
be an essential rite
be an underlying point
be an essential branch
be an essential skill
be an essential learning
be an essential part
be an interior point
be an arbitrary point
be an academic point
be an elementary point
be an alternative point
be an essential voice
be an essential policy
be an obvious point
be an essential precondition
be an essential component
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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