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The phrase "a continuous path of" is correct and usable in written English.
It can be used to describe an ongoing or uninterrupted course or direction in various contexts, such as personal development, processes, or journeys.
Example: "The project requires a continuous path of improvement to achieve the desired results."
Alternatives: "an unbroken course of" or "a steady progression of".
Exact(13)
"It is a continuous path of improvement we have made great progress," he said.
With several other pending projects, it will help create a continuous path of development along two miles of the harbor.
Electrical volume conductivity experiments prove that a continuous path of conductive nanoplatelets builds up across the matrix above a critical filler content.
We must first end the culture of complaining, failure, denial and "Us" blaming "Them" that all of our leaders practice or enable today, leading us on a continuous path of self-destruction.
Tension members with a zero rest length allow the construction of tensegrity structures that are in equilibrium along a continuous path of configurations, and thus exhibit mechanism-like properties; equivalently, they have zero stiffness.
Given any pair of unitaries u and v in a unital simple C∗-algebra A with [v]="0 in K1(A) for which∥uv−vu∥<δ, there is a continuous path of unitaries {v(t):t∈[0,1]}⊂A such thatv(0)="v,v(1)="1and‖uv(t)−v(t)u‖<ϵfor allt∈[0,1].
Similar(47)
The stunning cathedral grounds feature a labyrinth which forms a continuous path to represent the Christian idea of a spiritual journey.
Each type of seismic wave arrival traces a continuous path as a function of distance.
We next introduce the definition of rotation number of a continuous path in (mathbf{R}^{2}).
These experimental observations support modeling persistence as a function of growth factor concentration as well as a function of the intrinsic probability of following a continuous path in a given direction.
This yields the existence of a continuous path in joining and provided that is above the curve.
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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