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"We agreed early on that we could write whatever we wanted, it could be weird and poetic, but it needed to have strict continuity," says Fink. "If we say something happened in Night Vale then it happened.
The given condition (3.38) of strict continuity implies that a fixed point of is unique (if it exists) and that both mappings and are continuous.
It is not tied down to a strict continuity, be it based on a book series or an ongoing "expanded universe" continuity, and thus it doesn't have to suffer the burden of whatever mistakes the last entry may have made.
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I told her that we'd never been strict about continuity, at least when it came to moviemaking.
The strict C1-continuity requirement in the displacement field is relaxed by converting the area integral of the curvatures into the boundary integral along the Voronoi boundary.
We remark that a stronger result is proved in [4] than that used above, namely that the optimal mappings are strictly convex and Hölder continuous whereas in [24] only strict convexity and continuity is proved, (using an earlier version of [4] which assumes condition A3w without the orthogonality restriction on (xi ) and (eta )).
It leads to ∥ x n i + 1 − q ∥ → 0 as i → ∞ by the strict increase and continuity of φ.
("Rugrats" doesn't treat the adults as idiots and is strict about maintaining continuity for the television series.) The movies act as very special episodes, a way to introduce new characters.
It leads to ∥ z n i + 1 − q ∥ → 0 as i → ∞ by the strict increase and continuity of φ.
It leads to lim i → ∞ ∥ x n i + 1 − x n i ∥ = 0 by the strict increase and continuity of φ.
This jointly with continuity implies strict monotonicity.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com