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The phrase "more general form" is correct and usable in written English.
You can use it when you are referring to a generic version of something that can be further specified or is more abstract than other forms. For example: "The underlying concept of this equation can be expressed in a more general form."
Exact(60)
The definition of superposition modulation can be generalized using more general form for P UX than the uniform case.
Now, we generalize Wirtinger's inequality to a more general form which includes (2.1) as a special case.
Zhu and Wu [30] generalized the above equality to a more general form which does not involve the real parts of the complex numbers.
Indeed, we have generalized the problems to (i) systems; (ii) more general form of nonlinearities f i, 1 ≤ i ≤ n,; and (iii) existence of constant-sign solutions.
We state this property in a more general form and provide its proof.
The same is true of the next axiom, which for technical reasons is usually phrased in a more general form.
Mr. Beal put forward a more general form of the theorem and issued a challenge to prove or disprove the assertion.
Various existing guidance laws can be unified in the proposed framework, and the design can be extended to a more general form.
The heat and mass transfer balances have then been analyzed in their more general form, and terms related to the use of microwaves outlined.
It could be the more general form than that of the conventional power flow analysis model seen in the isotropic plate.
Although semi-normal defaults have only a slightly more general form than normal defaults, SNDL does not share the nice properties of NDL (e.g., semi-monotonicity).
More suggestions(15)
more general format
more overarching form
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more general building
more comprehensive form
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more controlled form
more general application
more usual form
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more general calibration
more general thrust
more sustainable form
more convenient form
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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