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The solution is expanded into sums of guided modes on both inlet and outlet cross-sections.
The general forced solution is expanded in terms of these complex modes.
The fundamental solution is expanded into the separable kernel by using the elliptic coordinates and the boundary densities are expanded by using the eigenfunction expansion.
Starting with a boundary integral equation formulation of the problem, the solution is expanded into a Taylor series in the small parameter.
There, gas-saturated solution is expanded through a nozzle, and due to the Joule-Thompson effect, it is rapidly cooled down leading to formation of SLN [87, 88].
As the US primary care system confronts provider shortfalls due to demographic trends, the growing prevalence of chronic disease [ 4], and low proportions of physicians choosing primary care practice [ 5], a possible solution is expanded use of physician assistants (PAs) and nurse practitioners (NPs) [ 6].
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"The right solution is expanding capacity through 21st-century technologies, working with the airlines on more rational schedules, and better customer service," it said in a statement.
We've really got our work cut out for us because the real solution is expanding the whole pipeline and getting kids and young men, young women to want to go into engineering.
The Sm cation solution was expanded to 50 ml with ethanol and added into the four Zn cation solutions at the designed Sm contents by volume.
Meanwhile, in [16] the authors discussed the tau approach for solving a class of NFDEs, and the solution was expanded by a shifted Legendre polynomial, and the unknown expansion coefficients were obtained by a segmented Lanczos-tau formulation.
The universe of possible weight-loss solutions is expanding.
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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