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The phrase "and the proposed methods" is correct and usable in written English.
It can be used when discussing or referring to suggested techniques or approaches in a particular context, such as research or project proposals.
Example: "The study outlines the objectives, the expected outcomes, and the proposed methods for achieving these goals."
Alternatives: "and the suggested techniques" or "and the recommended approaches".
Exact(46)
Table 3 Parameter values of the previous and the proposed methods Symbol Detail Previous Proposal f Frequency (Hz) 5.0 5.0 M Modulation depth (a.u).
(8) The types and quantities of all solid and liquid waste generation and the proposed methods of storage, handling, and off-site disposal.
Some experiments have been performed and the proposed methods have been verified to some extent.
Relevant computations of decaying vortices and of an actuator disk in a time-dependent inflow support the analysis and the proposed methods.
Four different (three unidirectional and one bidirectional) FGM objects are modeled with traditional analytic function based approaches and the proposed methods.
The parameters of the chemometrics procedure for the simultaneous determination of MT and PY were optimized, and the proposed methods were validated with prediction set.
Similar(14)
Figure 12b,c,d,f shows the results of the CMs and the proposed method, respectively.
In Sects. 2 and 3, the proposed methods and the optimization results are presented and compared.
Finally, we quantitatively assessed the safety of different activity bands and validated the proposed methods and controller framework.
IL and LL aided in writing the manuscript and evaluating the proposed methods.
This demonstrates the effectiveness and feasibility of the proposed methods.
More suggestions(16)
and the proposed steps
and the proposed devices
and the proposed processes
and the recommended methods
and the proposed mechanisms
and the preferred methods
and the identified methods
and the proposed approaches
and the suggested methods
and the proposed mode
and the proposed methodological
and the proposed approach
and the proposed buyers
and the proposed changes
and the proposed data
and the proposed rights
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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