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The term "generic expressions" is correct and usable in written English
You could use it when referring to commonplace phrases or phrases that are so commonly used that they have become clichés. For example, "She had a tendency to fall back on generic expressions like 'it is what it is.'"
Exact(14)
As in previous approaches [ 19- 22], we automatically translated a metabolic network model into a kinetic model using generic expressions, a particular case of generalized mass action (GMA) kinetics, for the reaction rates [ 23].
A general framework is derived which leads to generic expressions of discrete dispersion relationships for inertia gravity and Rossby waves, valid for every finite difference scheme and every type of grid.
Theoretically, at least, they would offer generic expressions of Burgundy, possessing few of the distinctive characteristics that shape and define the more narrowly drawn appellations.
Cranach made radiantly personable portraits of court figures and sweet nudes — both Biblical (Eve) and mythological (Venus, Diana, the Three Graces) — featuring girlish, impossibly long-waisted bodies and generic expressions whose repetition somehow doesn't spoil the freshness of each image.
Even though Mendes's chops are presently limited to a handful of generic expressions, she at least seems to be paying attention, and, unlike Lopez, actually appears to be still breathing.
We all thought that in too many of the bottles, the characteristic dusty bitterness of the negroamaro grape had been sanded away, leaving wines that seemed generic expressions of nowhere.
Similar(46)
In January, Microsoft disputed Apple's trademark claim, arguing that "app store" had already become a generic expression.
At last I fished from the inner darkness some proper noun from Koppel's question and lurched into a generic expression of the conventional wisdom regarding the person corresponding to that noun.
The equations are adjusted to a generic expression by using appropriate transformations.
The equations are adjusted to a generic expression by using proper transformations.
A generic expression for the computation of E [ ρ n ] is given in [27].
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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