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The phrase "higher order" is correct and usable in written English.
You can use it to refer to a complex concept, process, or system that is considered more developed, advanced, or evolved than its predecessors. For example, "This new technology represents a higher order of computing power."
Exact(34)
Unsung D.C. fiction of the higher order.
But Helen Fitzgerald's Viral is of a higher order.
"Higher order brain functions are not available to be transmitted.
It is a species leap, a higher order of being.
In contrast, Mill argues that higher order pleasures are superior.
The art, too, is of a higher order.
Similar(26)
Hence higher-order Walsh functions generally produce higher-order filters.
The leading representational approaches to (1) and (2) are "higher-order representation" theories, which divide into "inner sense" or "higher-order perception" views and "higher-order thought" accounts.
Higher-order questions on the other hand begin with why.
The answer is by contemplating higher-order questions.
For Higher-Order Thinking Look through the entire slide show.
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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