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The "r-asymmetry" is in striking contrast to the characteristic rotation-symmetry exhibited about the obstructing pipe's central axis in corresponding cases of unstratified flows investigated.
It is demonstrated that the sufficient conditions of positivity of the elements in the nth row of Green's matrix, proposed in this article, cannot be improved in corresponding cases.
In corresponding cases estimates of norms of auxiliary linear operators (obtained as a result of W-transform) lead researchers to conclusions about existence, uniqueness, positivity and stability of solutions of given boundary value problems.
This allows us in corresponding cases to reduce the study of a generalized and impulsive system to the analysis of the sequence of integro-differential equations, and consequently to the analysis of the corresponding sequence of systems of ordinary differential equations.
We further assessed the fetal genotype accuracy to compare the practical performance in corresponding cases to reach comprehensive conclusions (Table 4).
This problem is not unexpected and the effect is well known in corresponding cases when gene expression microarray data is normalized [ 18].
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Hence it is enough to prove that the sequence satisfies conditions (a) and (b) in the corresponding cases.
The bounds obtained give equivalent bounds for the numbers of distinct and nonisomorphic sets of g−2 mutually orthogonal Latin squares of order n in the corresponding cases.
Control subjects were women from the same study base who did not develop cervical cancer during the same period before the diagnosis of cancer in their corresponding cases.
Surprisingly, in the absence of any external loading, the hoop stress induced solely by the surface effects is identical to that in the corresponding case in a linearly elastic solid.
Only controls living in Sweden and free from breast cancer until the time of diagnosis of breast cancer in the corresponding case were eventually included in the study.
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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