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Update 1 improves the layout's visual design.
This means that Theorem 1 improves Theorem 1 of [14].
This shows that Theorem 1 improves Theorem 1 of [13].
In this way Corollary 1 improves Theorem 1 in [7].
The following example is given to show that Theorem 1 improves [1], Theorem 3.1.
Therefore, our Theorem 1 improves and generalizes the Theorem 2.5 and Theorem 2.6 in[15].
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For instance, Over-expression of MtERF1-1 improves tolerance to Rhizoctonia solani and Phytophthora medicaginis in Medicago roots (Anderson et al. 2010).
While performance of the ESPRIT-SB-1 improves as the number of subarrays or subarray spacing increases (and thus a wider beamwidth), ESPRIT-SB-2 performs uniformly better and does not show much variation over the chosen variable intervals.
It is found further that the use of the effective height for the frame in the continuum model, which was suggested in reference [1], improves the prediction of the theory greatly and that employing the continuum model, rather than the discrete model, reduces the computations significantly when the number of storeys is large.
We point out that (1.13) improves (1.7).
This implies that (2.18) improves (1.5).
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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