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"to further simplification" is a correct and usable phrase in written English
You can use it when you want to explain that something is being made even simpler than before. For example: "To further simplification, we will condense the report into three concise sections."
Exact(1)
The predicted increase in land-use intensity and area of arable fields in the near future could lead to further simplification of the landscape structure.
Similar(59)
(28) The phase dynamics (28) is still very hard to analyse, and as such it is common to resort to a further simplification, namely averaging.
These must be addressed to stimulate further simplification of design and find solutions to lifetime issues.
It addresses the complexity assessment of identified functions to determine if further simplification is warranted by decomposing and understanding lower-level functional behaviors.
Although first-line ART for children has also been simplified to some extent, further simplification and harmonization between age groups remains challenging, and different approaches are recommended based on age due to available formulations and safety profiles, which vary by age.
Also, we report a good correlation between TwPoes and TwPett, leading to the possibility of further simplification of the technique.
We provide here a numerical method for finding the full steady-state distribution of RNA molecules without any further simplification to the model (cf Additional file 1, §3.3 for details).
As a result, we end up with two different weights instead of four: A further simplification leads to (15).
Extension to higher dimensional systems needs further simplification and is illustrated with formulation for 3-loop systems.
The proof we are going to present here is a further simplification of the original proof by Cicalese and Leonardi which has been developed in a more general context by Acerbi et al. in [1].
On the other hand, another semi-quantitative measure, standardized uptake value (SUV), could provide a further simplification relative to RI, as it does not require measurement of blood time-activity curves, nor dynamic scanning.
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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