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We cannot give a rigorous explanation for the good result for the gradientbased methods.
Thus as noted in recent reviews [10,37] it was not possible to give a rigorous explanation for the effects of SR Ca2+ release on uterine force.
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A rigorous explanation of this equation would not arrive until much later.
Consider time-lapse imaging of cell trajectories in the case of spatially uniform one-dimensional growth, and thus, each part of the tissue growing at the same rate (please note that the following discussion also holds for cases with arbitrary non-uniform growth) (see Fig. 1F; supplementary material Movies 1-6 Appendixndix S1 for a more rigorous explanation with equations).
A more rigorous explanation of non-metric or pure affine space is given below.
Details about the EMD decomposition algorithm and a mathematically rigorous explanation are presented by Huang et al. The seasonality of the malaria incidence time series was assessed using box diagrams for each month.
By no means do we claim that the representation specification presented here is complete, but would like to rather refer the reader elsewhere for a more detailed and rigorous explanation and implementation examples [23].
We point out their shortcomings, and subsequently present a rigorous probabilistic explanation of the strengths and shortcomings of traditional pairwise distance PMFs.
Does this constitute a rigorous method for comparing gene regions?
Here we propose a rigorous protocol for multigenic families' annotation.
A rigorous process for participant data management will be undertaken.
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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