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The phrase 'Based on the foregoing' is correct and can be used in written English
It is used as a transition phrase to indicate that the paragraph or section that follows references something that was mentioned previously in the text. For example, "After careful consideration, we decided to proceed with the project. Based on the foregoing, we are now ready to begin implementation."
Exact(41)
"Based on the foregoing, we'll not say with 100 percent certainty that Pinatubo would not erupt in the next few years.
Based on the foregoing, we conclude that the authority of the Florida Secretary of State to ignore amended returns submitted by a County Canvassing Board may be lawfully exercised only under limited circumstances as we set forth in this opinion.
Based on the foregoing analysis, uncertainty in both CIT and material parameter will be considered to deal with shock degradation.
Based on the foregoing, the more we decrease the clipping threshold and the IBO, the more the PA efficiency increases.
Based on the foregoing estimates, operating margin is unlikely to exceed 5% next year, when Power is projecting revenue to hit $540 million.
Based on the foregoing considerations, we show in Appendix D that the expected power of ICI on subcarrier is composed by three additive terms as (16).
Similar(19)
Based on these foregoing observations, we hypothesized that sequence variations within the mouse Aβ peptide, as compared to human, may render the mouse peptide unable to form amyloid in vivo.
Based on the results in the foregoing sections, we now outline a procedure for the design of a FE-based super-directive multiple beamformer and for assessment of its practical feasibility.
The two sites1 and four villages1, respectively, were selected based on the results of a foregoing baseline survey (Projet SuLaMa 2011), the willingness of livestock keepers to participate in the study, and the feasibility of access.
The foregoing analysis based on the TFBS Conserved track can only shed light on TFBS motif hits upon sequences that are conserved across mouse, rat and human.
A prediction architecture is thus proposed, based on the block matching statistics given in the foregoing.
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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