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'obvious continuity' is a correct and usable phrase in written English.
You can use it to describe a situation that has a clear sense of progression or development, such as in a story or a timeline of events. For example, you could say "The storyline has an obvious continuity to it, as it follows the same characters through an entire season of the show."
Exact(8)
The visual arts showed a more obvious continuity.
Gordon's regal wife, Valda Setterfield, who was in the original cast, provides the most obvious continuity.
Critics worry when film-makers don't show obvious continuity in their work, but yours is particularly unpredictable.
Even so, it must be said that Platini is rapidly emerging as the most obvious continuity candidate since Yuri Andropov, if increasingly unlikely to stay in post as long.
So I duly wrote the book, in two parts, with the switch from third to first person but with more obvious continuity: there was even some explanation of what happened to Laura in the Varanasi part.
The paintings of all three are juxtaposed in this show, so that one sees the obvious continuity through the eyes of the dealer: Monet and Pissarro were doing the same thing as Daubigny except that their canvases were fulfilled on the spot, completed in the great outdoors instead of the stuffy confines of the studio.
Similar(52)
The content of brief interventions changed over the period of study, although not in ways well informed by research advances, and there were also obvious continuities, with a renewed emphasis on the facilitation of self-change being one important consequence of the development of internet applications.
[1.] Multiple collisions are handled in the obvious way by continuity considerations: just continue straight lines through the collision point and identify which particle is which by their ordering in space.
It is obvious that the continuity of a fuzzy-number-valued function implies the level-continuity, but the converse does not hold.
(p) f ( t ) and f ′ ( t ) are continuous in α ≤ t ≤ β, the obvious one-sided continuity only being required at t = α or t = β ; (q) f ( t ) and f ″ ( t ) are such that the integrals ∫ α β f ( t ) d t and ∫ α β f ″ ( t ) d t converge, and f ′ is an integral of f ″. .
f ( t ) and f ′ ( t ) are continuous in α ≤ t ≤ β, the obvious one-sided continuity only being required at t = α or t = β ; f ( t ) and f ″ ( t ) are such that the integrals ∫ α β f ( t ) d t and ∫ α β f ″ ( t ) d t converge, and f ′ is an integral of f ″.
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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