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The phrase "characterized by a process" is correct and can be used in written English.
It is often used to describe something that is defined or determined by a specific procedure or set of steps. Example: The results of the experiment were characterized by a process of elimination, with each unsuccessful attempt leading to a better understanding of the desired outcome.
Exact(8)
The contributors consider both works that are technologically mediated and those that are not, as long as they are characterized by a process of reciprocal exchange.
The acute loss of material tensile ductility is often characterized by a process where the material necks at very low uniform elongations in tensile loading, just following the yield point, a process commonly referred to as flow localization.
Insofar, the developments in the 1990s and in the early years of the new millennium were largely characterized by a process of concentration and centralization.
The organizational dimension framed the location of the decision-making center (a) which is characterized by a process of more or less centralization within the framework.
Paraptotic cells are characterized by a process of swelling and vacuolization that begins with physical enlargement of the endoplasmic reticulum (ER) and the mitochondria [2].
Egg development in Drosophila is characterized by a process of nutrient supply to the oocyte via supporting cells [ 4].
Similar(52)
These processes are generally characterized by a long-process flow with large operation scales and complicated mechanisms.
Each of these oral forms is characterized by a metaphorical process, the result of patterned imagery.
One is packet dropout characterized by a Bernoulli process, the other is characterized by a Markov chain.
The second period (1980 2000) is characterized by a dynamic process of secondary forest growth resulting from a combination of internal and international market forces and conservation initiatives.
This paper focuses on resilient control of networked control systems (NCSs) under the denial of service (DoS) attacks characterized by a Markov process.
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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