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Mathematical analysis takes a careful balance of seeing the forest in spite of the trees.
Our mathematical analysis takes us only that far.
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"Fina also notes that [the comments from researchers in the media] are exclusively made on the basis of mathematical analysis, without taking into account any scientific evidence in the actual pool constructed for these Games," the statement continued.
For non-saturated traffic, the authors of [16] propose a comprehensive mathematical analysis with taking into account the heterogeneity of the traffic sources (i.e., with the different traffic sources with distinct arrival rates) with M/M//K/1 queues to estimate a set of networking parameters dependant on the traffic source type.
Content analysis took place.
To determine if the insights from the mathematical analysis still hold when the cellular structure and the organisation of the tissue structure are explicitly taken into account, we performed computer simulations of the Arabidopsis root.
Perhaps mathematical analysis of this phenomena, taking into considerations the properties of the universal genetic code, will show that the optimum for information transfer by the DNA molecule is just at such points.
At Caltech, Dr. Barry Simon, the mathematics department's executive officer, or department chairman, said, "A number of times he took problems in mathematical analysis that were considered impossibly difficult and invented an entirely new way of looking at them".
Here, we took advantage of mathematical analysis to check the correlation between Hog1 phosphorylation and nuclear localization upon different kinds of osmotic stress: simple step increase, periodic square pulses and up-staircase increase of osmotic changes.
We do need more mathematical analysis of cell behavior and computation of all the interactions within the cell.
Their identification does not require sophisticated mathematical analysis.
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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