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The phrase "are established by using" is correct and usable in written English.
It can be used when describing how certain methods, processes, or standards are created or determined through a specific means or technique.
Example: "The guidelines for the project are established by using a comprehensive analysis of previous case studies."
Alternatives: "are determined through" or "are created by employing".
Exact(53)
In these methods, synchronization and control are established by using Lyapunov stability theory.
Three performance evaluation structures are established by using max-t1, max-t2 and max-t3 compositions.
The results are established by using solution operator theory, fractional calculations and fixed point techniques.
The dynamic equations of the CVBVS are established by using the generalized Lagrange's equation.
The convergence conditions of the observer are established by using the second method of Lyapunov and a quadratic function.
The stability and finite-time convergence of the closed loop system are established by using the Lyapunov theory.
Similar(7)
Gestational age was established by using US imaging during the first visit, at study enrolment.
Their chemical structures were established by using various spectroscopic techniques.
Restarts can be established by using restart-bind, restart-case, and with-simple-restart.
The age of these magnetic anomalies can be established by using fossil evidence and radiometric age determinations.
Optimum chromatographic conditions were established by using a personalized multifactorial experimental design.
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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