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"determined the shape of" is a grammatically correct and commonly used phrase in written English.
This phrase is typically used to describe the influence or impact that something has had on shaping or changing a particular outcome or situation. It can be used in a variety of contexts, such as describing the role of a person, event, or decision in shaping an outcome. Example: The discovery of electricity determined the shape of modern technology and communication.
Exact(17)
Quite simply, Burnham determined the shape of modern Chicago.
Several factors have determined the shape of tone systems actually in use.
It is this transgression — a deliberate action, not an impersonal, mechanistic process of random genetic mutation and natural selection — that determined the shape of our lives.
"O Newton," wrote Boullee, "as by the extent of your wisdom and the sublimity of your genius you determined the shape of the earth; I have conceived the idea of enveloping you in your own discovery".
In 1913, the innovations of the Armory Show in New York and Diaghilev's production of "The Rite of Spring" had a seismic impact because audiences believed the shape of the culture determined the shape of their souls.
Moreover, Damascus is a real travel bargain now(a meal for two at most of the city's best restaurants, including a bottle of excellent Lebanese wine, runs about $40), with outstanding shopping, terrific dining and historic sites that have determined the shape of the world, past and present.
Similar(42)
This parameter determines the shape of the washout curve, which is the predominant shape determinant of the GDC model.
The answer could determine the shape of the economic expansion in the months and years ahead.
They are below the surface, but they determine the shape of the building.
The number of registered voters in turn determines the shape of parliamentary constituencies.
And what we learn will largely determine the shape of the campaign.
More suggestions(17)
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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