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Assume, hereafter, that the virulence of vaccine-resistant strain is lower than that of vaccine-sensitive strain (my>mz): otherwise, the vaccination is always effective (our baseline parameter values are satisfied with my>mz).
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The boundary value is satisfied in the sense of the trace, begin{aligned}& gamma uvert_{Sigma_{1eta k}timeSigma_{1eta
The boundary value is satisfied in the sense of the trace, gamma uvert_{Sigma_{1eta k}timeSigma_{1eta
3. The boundary value is satisfied in the sense of the trace gamma u|_{Sigma_{1eta k}}=0.
end{aligned} (1.8) The initial value is satisfied in the sense that lim_{trightarrow0} int_{Omega} biglvert u x,t -u_{0}(x) bigrvert,t -u_{
The initial value is satisfied in the sense of the following equality: lim_{trightarrow0} int_{Omega} biglvert u x,t -u_{0}(x) bigrvert,t -u_{
4. The initial value is satisfied in the sense of the following equality: lim_{trightarrow0}int_{Omega}bigl| u x,t -u_{0}(x)bigr|,t -u_{quadmbox{a.e.
As long as there are some cases in which bearers of value are incomparable, even if bearers of value are comparable in the case of nominal-notable comparisons, the conditions for value incommensurability are satisfied.
Thresholds can be established for OHS values above which patients are satisfied with surgery or have experienced improvement of function after surgery.
That is, whenever by choosing small positive values for and conditions (4.4) are satisfied, but the numerical limit cycle cannot be found in system (3.5) even in unstable form.
Because the demands of each offloading station are satisfied, the value of the objective function is less than the maximum error in the iteration process, and hence the computing program stops.
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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