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"give further insight" is a correct and usable phrase in written English.
It is typically used when someone wants to provide additional or deeper understanding on a particular topic or issue. Example: "The speaker's presentation gave us a basic understanding of the new marketing strategy, but we still need someone to give further insight on how it will be implemented."
Exact(60)
And tomorrow, primary voters in Colorado and Connecticut will give further insight into the depth of Americans' much-discussed anti-establishment sentiments.
The pending in vivo application will give further insight into the kinetics of TKA.
Subsequent chip root experiments and micro indentation tests give further insight into the chip formation mechanisms.
These formulas give further insight into the role of damping in power transfer relations; see.
The results are analyzed with respect to both performance augmentation and engine operability in order to give further insight on gas turbine operation with water injection.
In addition, a closed-form of transfer function representation that facilitates frequency analysis of the control system is provided to give further insight into the proposed method.
Furthermore, a detailed sensitivity analysis and a reaction pathway analysis were performed to give further insight to the chemistry at various conditions.
These are the first examples of altered-specificity E2 E3 enzyme pairs and give further insight into how E2 E3 specificity is obtained.
Using multicell configuration which takes into account intercell interferences and handover issues, larger network sizes with higher traffic load and inclusion of MBMS could give further insight on the LTE performance.
The results of this study give further insight into the improvement of the efficiency of the biogas production process as well as understanding of the complex microbial community composition.
To give further insight into the distribution of water within the cellulose fibre matrix pulsed gradient spin echo (PGSE) diffusion measurements were acquired on samples equilibrated to water ratios between 0.2 and 2.0.
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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