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Then there exists a point w in the open segment joining u and v and x w * ∈ ∂ f ( w ) such that f ( u ) - f ( v ) = ⟨ x w *, u - v ⟩ X.
Then there exists a point ξ in the open segment between u and v, and (u^_{xi}in partial h omega)) such that h u -h v =bigllangle u^_{xi},u-vbigrrangle _{X}; (Second ch u -h v =bigllanglea Banach space and (j:Yrightarrow X) be a continu^_{xi}differentiable function.
Then there exists a point ξ in the open segment between u and v, and (u^_{xi}in partial h omega)) such that h u -h v =bigllangle u^_{xi},u-vbigrrangle _{X}; (v) (Second ch u -h v =bigllanglea Banach space and (j:Yrightarrow X) be a continu^_{xi}differentiable function.
Then there exists a point w in the open segment joining u and v and x w * ∈ ∂ f ( w ) such that f ( u ) - f ( v ) = ⟨ x w *, u - v ⟩ X. (4) The function m ( u ) = min w ∈ ∂ f ( u ) w X * .
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Over the past 30 years, the US has initiated a number of regulatory initiatives to open segments of the telecommunications market to competition.
Mr. Melluish described BCE as a north-of-the-border Baby Bell that benefits from its dominance of the tightly regulated market in local phone service while still being able to enter other, more open segments of the industry.
Rather than having discrete compartments, each car is divided into a dozen or so open segments.
I remember being confused by the end of the (absolutely incredible) opening segment: a young man reads by a river in the woods.
They generalized the inwardness condition using the metric left-open segment.
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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