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The phrase "substantially depends" is grammatically correct and can be used in written English.
It means that something relies heavily or largely on another thing for support, success, or functioning. Example sentence: The success of the project substantially depends on securing the necessary funds from our sponsors.
Exact(18)
As seen, the PL polarization kinetics of the QWs substantially depends on bias.
In practice, the node state not only depends on time, but also substantially depends on space in some circumstances.
In general, the performance of standard emotion recognition systems substantially depends on the user characteristics in expressing emotional states [6].
The commercial management success substantially depends on the main engine in service and of its design crankshaft, in particular.
The reaction intensity in the desulphurization system, that consists of solid body and gas, substantially depends upon the ratio of reagents and the period of their contact.
Decision quality therefore substantially depends upon the decision-makers level of expertise: an insufficient level, by implication, results in value destruction.
Similar(42)
The impact on mapping performance is, however, dependent on the algorithm and can, therefore, differ substantially depending on the method used [ 45, 46].
The results can vary substantially depending on the starting point.
"Households, businesses and entire communities can now become genuinely self-powered completely or substantially depending on their circumstances and preference.
The value of a business may vary substantially depending on what types of buyers are interested in acquiring it.
"Adipose tissue" -- i.e., fat -- "is a noncancerous normal tissue that unlike any other tissue in the body can grow and regress, grow and regress rapidly and substantially depending on caloric intake," Dr. Rupnick said.
Related(19)
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heavily depends
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noticeably depends
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essentially depends
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markedly depends
vastly depends
considerably depends
distinctly depends
far depends
broadly depends
significantly depends
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enormously depends
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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