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The phrase "are formalized using the" is correct and usable in written English.
It can be used when describing a process or method by which something is structured or established, often in a formal context.
Example: "The rules of the game are formalized using the official handbook provided by the organization."
Alternatives: "are established through the" or "are defined by the".
Exact(1)
These observations are formalized using the Prentice criteria described in the method section and applied to the study as shown in Table 2. Model 1 shows the statistical significance of the vaccine group effect; model 2 shows the statistical significance of seropositivity effect.
Similar(59)
It could be formalized using the same trick.
In its most general setting, the problem definition can be formalized using the following notation.
Context information is formalized using the notation in [7]: Let τ: DIM→I, where DIM = {X1,X2,…,X n } is a finite set of dimensions and I = {a1,…,a…,a n } is a set of types.
Moreover, the reasoning processes conducted by the human agent and by the computer can be formalized using the same algorithm, such that the only difference between HI and AI is the agent affording the reasoning processes.
Mechanistic knowledge was formalized using the BioNetGen language (BNGL) [ 56].
Established clinical guidelines serve as the basis for the production rules, which are formalized using XML technologies.
Next, the real tooth surfaces of the existing gear member are measured using a coordinate measuring machine and the deviations between the real and theoretical tooth surface forms are formalized using polynomial expression.
In clinical practice, to obtain information known only to the patients, clinicians often assess patient status by informally asking questions such as, "How many pillows do you sleep on?" or, "Do you cough at night?" In clinical trials, clinical assessments are formalized using specific questions because a structured interview technique minimizes measurement error and ensures consistency.
Hobbs et al. 1993 shows how an impressive range of discourse phenomena can be formalized using this idea.
The game design phase has been formalized using flowcharts to represent the gameplay and the interaction.
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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