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The phrase "dimension for" is correct and can be used in written English.
It is typically used to indicate the purpose or scope of a particular dimension. Example: The architect considered every dimension for the new building to ensure maximum efficiency and functionality.
Exact(60)
"This is a crisis of escalating dimension for many I.T. revenue streams".
We have been tracking this dimension for several years.
This is the easiest dimension for people to strengthen.
Factor analysis suggested a single dimension for the food items.
Mean dimension for AH-algebras with diagonal maps is introduced.
Looking at South Padre through their eyes gave the whole experience another dimension for me.
Faith lacks an ethical dimension; for Eva it has withered to nostalgia.
This has a very different impact and creates a whole new dimension for journalism.
"Will was living in this upside-down other dimension for about a week.
"This adds a whole new dimension for us," said Gregory Long, president of the garden.
It's adding a whole new dimension for our fans to be able to experience N.F.L. football".
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com