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The phrase "a design on which" is correct and usable in written English.
It can be used when referring to a specific design that serves as a basis or foundation for something else, such as a project or concept.
Example: "The architect presented a design on which the entire building project would be based."
Alternatives: "a design that serves as" or "a design upon which".
Exact(1)
From that point on, development of the Mark 1 had the additional purpose of supplying Ferranti with a design on which to base their commercial machine.
Similar(59)
The project soon had the dual purpose of supplying Ferranti with a working design on which they could base a commercial machine, the Ferranti Mark 1, and of building a computer that would allow researchers to gain experience of how such a machine could be used in practice.
The assignment description asks from the users to deliver a High Level Software design on which the Architecture should be shown and described and for each Architectural layer a set of Design Patterns should be defined and documented so the High Level software Design could be easily analyzed in a Low Level Software design which would be the next assignment.
His contribution is an exhibition of "Unnamed Design," on which he has collaborated with the curator Brendan McGetrick to address the timely theme of the changing definition of design.
Signed by Albany's first mayor, Pieter Schuyler, the document was sealed with red wax, the design on which was an octagon with a monogram of the letters ALB in the center topped with a crown (see Figure 1).
A previous work has defined dryer design, on which CFD simulations have been validated in case of water drying.
Fortunately, researchers have at their disposal a broad range of study designs on which to base data collection for a sub-sample of patients.
He was convicted in absentia in the Netherlands, then later acquitted on a technicality, for stealing the centrifuge designs on which Pakistan's uranium-enrichment programme was based from a company where he worked in the mid-1970s.
This paper presents a design model which on the base of the dispersion model accounts for the opposite effects of gas shrinkage and expansion caused by absorption and reduced hydrostatic head, respectively.
In fact, of all the fatal DC-10 accidents before 1980, only one crash near Paris was blamed on a design flaw (which McDonnell Douglas and airlines quickly fixed).
T-Mobile, on the other hand, has decided to differentiate on a design level, which is something I usually frown upon.
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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