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The phrase "approach does not depend" is correct and usable in written English.
It can be used when discussing a method or strategy that is independent of certain factors or conditions.
Example: "Our approach does not depend on external funding, allowing us to maintain our independence."
Alternatives: "method is not reliant on" or "strategy does not hinge on".
Exact(28)
The approach does not depend on the kind and number of genetic markers.
In theory, the convergence performance of the proposed approach does not depend on the normalized frequency.
The proposed approach does not depend on the narrow gap assumption or the prescribed form of rheological models.
In contrast to existing incremental methods, the complexity of our approach does not depend on the number of users and items.
The proposed approach does not depend the complex matrix inverse calculation but simply applies a basic vector computation (inner product), which further reduces the computational complexity.
Our approach does not depend on any rules to detect botnets and is capable of capturing the changing behavior of bots.
Similar(32)
The research shows that some limitations in the BMC approach do not depend on details of the models or the algorithmic implementation, but rather on the physics of contaminant transport.
In other words, it would be nice if the approach did not depend on the arbitrary decisions of uncoordinated experts.
It should be emphasized that the orientation preference determined using this approach did not depend on the settings of particular parameters (see Supplementary Results and Supplementary Fig. S1 for the results from control experiments).
The principle advantage of using a multi-gene plasmid-based quantification standard rather than a comparative ΔCt or a Δ-ΔCt method was that our approach did not depend upon equal amplification efficiencies for both the target and the 'housekeeping' HPRT reference gene.
Hence, q-entropy and the corresponding variational principle may be used in each case where the Pareto (or Tsallis) distribution is observed; the applicability of these approaches does not depend on the assumption on the non-additivity of the system.
More suggestions(15)
approximation does not depend
direction does not depend
approach does not correspond
criterion does not depend
conception does not depend
solution does not depend
method does not depend
methodology does not depend
approach does not differ
solutions does not depend
approach does not abandon
approach does not solve
approach does not make
approach does not involve
approach does not change
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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