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A more rigorous mathematical definition goes as follows.
A more rigorous mathematical model of humidifier is proposed.
They increased the open-endedness of the task by asking the students to engage in more rigorous mathematical reasoning.
For a more rigorous mathematical reasoning of this threshold choice, see [ 20].
Otherwise, for testing, one would require a more mechanistic description, inclusion of other key organs and regulatory mechanisms, and a more rigorous mathematical analyses.
In addition to incorporating better measurement techniques, fly sleep studies can also benefit from taking advantage of more rigorous mathematical tools.
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Accordingly, we believe that, using continuation methods, these results and, more generally, results on generation of traveling waves in unidirectional chains of type-I oscillators can be established in a rigorous mathematical way, in more general models with smooth PRC and stimulus nonlinearities.
The use of Newton's Second Law as a definition of force has been disparaged in some of the more rigorous textbooks, because it is essentially a mathematical truism.
Two models for quasistatic adhesive unilateral contact delaminating in mixed fracture mode, i.e. distinguishing the less-dissipative mode I (opening) from the more-dissipative mode II (shearing), and allowing rigorous mathematical and numerical analysis, are studied.
Second, mathematical confirmation in studies with more rigorous designs has demonstrated a hyperbolic relationship of the two components (i.e., insulin secretion and insulin sensitivity) (23, 32).
On one side are quantitative researchers who favor rigorous mathematical techniques and on the other are more traditional qualitative researchers who look at history and culture, using case studies, written documents and firsthand observations.
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