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The best and the worst ranking positions are graphically perceived by first considering the efficient frontier and its corresponding supporting hyperplanes.
On the other hand, a good understanding could be obtained by first considering the axisymmetric regime when such a regime exists.
In this way, the Floquet wavenumbers of any multiple array structure can be computed by first considering the master structure alone and then computing the effect of attaching each array in turn.
By first considering the simpler case of scalar anti-plane waves, we show that it is possible to overcome the challenges posed by cpxcgx<0 by simply utilizing the inevitable reflections occurring at the truncation boundaries.
The statement of the lemma is then proved by first considering the case in which h has the form ( hleft (t,xright)=mathbb {I}_{left [u,vright ]}(t gamma (x) ) for 0≤u
We calculate each individual's per month probability of infection with either the DS or the DR strain (φDS, φDR) by first considering the probability of not being infected (∼φDS, ∼φDR).
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We tested the fit of two models by first assuming that the residuals were normally distributed with constant variance, ε ij ~ N 0, σ 2 ) and by second considering the heteroscedasticity, ε ij ~ N 0, σ j 2 ).
Then the two closest vertical levels are added, and the analysis is started over by first considering only the horizontally closest grid point (now in more levels) and then consecutively increasing the horizontal area (as it was done for the single level domain before).
Finally, our selection of service sites for the project's clinical interventions was informed by communication approaches by first considering, through the baseline household survey, women's preferences, needs, and behaviors regarding where they access health services.
Here we evaluated the proposed interventions by first considering what would happen to the population health if they all ceased to be implemented today.
This is done by first considering Lie group structures on the group of vertical bundle automorphisms Gau P).
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by first implementing the
by first observing the
by first incorporating the
by first ascertaining the
by first squeezing the
by first determining the
by first taking the
by first identifying the
by first presenting the
by first denying the
by first reducing the
by first decomposing the
by first obtaining the
by first placing the
by first removing the
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com