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"the existing methods" is correct and usable in written English.
You can use this phrase to refer to approaches, techniques, or systems already in place. Example sentence: "The existing methods of waste management are inadequate for dealing with the current environmental issues."
Exact(60)
The second approach concerns the existing methods for debiased inference.
Yet the existing methods, by common agreement, possess important deficiencies.
The existing methods of creating genetically modified plants are inefficient and imprecise.
This new functionality supplements the existing methods of choosing security mechanisms between SIP entities.
However, the existing methods encounter several challenges in practical applications.
It is clear that none of the existing methods comprises of both characters.
The error rates by the existing methods and the proposed method are shown in Figure 7.
We can conclude the method have an advantage over the existing methods.
These tables show that method is more accurate than the existing methods.
Nevertheless, the existing methods seldom take advantage of such geometrical feature.
This is the biggest difference between the existing methods and the proposed method.
More suggestions(17)
the existing measurements
the existing instructions
the existing mechanisms
the existing tactics
the existing details
the existing processes
the existing approaches
the existing principles
the existing devices
the existing measures
the existing means
the existing steps
the specific methods
the exiting methods
the existing approach
the interesting methods
the existing mode
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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