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The phrase "a term arises" is correct and usable in written English.
It can be used when discussing the emergence or introduction of a specific term or concept in a particular context.
Example: "In the field of linguistics, a term arises that describes the phenomenon of language change over time."
Alternatives: "a term emerges" or "a term appears".
Exact(2)
It is generally assumed that the dispersion which is covered by the C term of Van Deemter type equations arises from processes occurring in the static zone, while the dispersion covered by the A term arises from processes occurring in the mobile zone.
It should be noted that the theoretical expressions do not accept a γ=1; if such a term arises, then φ=1 (BEREVEN), φ=1.5 (BERODD), and φ=1.23 (BERPSK).
Similar(58)
An often overlooked problem in building statistical models is that of endogeneity, a term arising from econometric analysis, in which the value of one independent variable is dependent on the value of other predictor variables.
(In principle there should also be a term arising from introducing the final state for the first ungerade intermediate state. However, this would lead to a term that would correspond to the OPA transition moment scaled by the excited-state second hyperpolarizability and thus can be expected to be smaller).
In the above formula, the first term corresponds to an electromagnetic pulse with a sine-oscillating carrier field, while the second term arises because of the finite pulse duration.
This term arises in the communication literature and is viewed as an important pre-requisite for effective conversations (Clark and Brennan 1991).
The term arises because incident visible light will be absorbed rather than reflected, and therefore the surface will appear black.
The new strengthening term arises by considering grain boundaries as pinning points for dislocation motion in nanocrystalline materials and incorporating the effect of solutes on such a mechanism.
The term arises when the required bandwidth cannot be provided.
Here, the term arises because of the noise.
The third term arises due to the Coulomb attraction [8].
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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