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"by path" is correct and usable in written English
You can use it to describe a means of travelling or a way of achieving something. For example, "We took the scenic route by path to get to our destination".
Exact(59)
Both commute to jobs in Manhattan, crossing the river by PATH train or water taxi.
Goldman employees are expected to travel by PATH and light rail trains as well as by car.
The equipment was donated by Path, a non-profit global health organisation pioneering the fight against cervical cancer in Uganda.
It is attenuated by path loss and shadow fading.
Its interface is the design you're seeing in many apps lately, mostly made popular by Path.
Additive manufacturing transforms material into three-dimensional parts incrementally, layer by layer or path by path.
(WvarUpsilon_{ijk}^) Wholesale price of SC1 by path (ijk) in monopoly competition.
(xvarUpsilon_{ijk}^) Quantity of product shipped by path (ijk) in monopoly competition for SC1.
The propagation shape of a radio beam can be estimated by path loss models [11].
Wholesale price of SC1 by path (ijki^{prime}j^{prime}) in duopoly competition.
Similar(1)
This formula can also be easily verified path-by-path by inserting (4.19) into (4.17) and using integration by parts.
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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