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However, if it is small enough, we can use the solution provided by the dual method as a useful benchmark to check the accuracy of heuristic methods.
The second method uses the solution provided by the model itself: the transverse shear stresses are computed integrating equilibrium equations.
When the user experience is bad, or things simply do not work for the employee, they will just not use the solution provided, and will find another way to achieve their goal.
Using the construction of the solution provided in Theorem 2.1, it is an easy exercise to check that u ¯ ( t ) = 1 2 ∫ 0 t ( [ u ˜ ( − s ) v ˜ ( t ) + v ˜ ( − s ) u ˜ ( t ) ] h ( s ) + [ u ˜ ( s ) v ˜ ( t ) − v ˜ ( s ) u ˜ ( t ) ] h ( − s ) ) d s ∀ t ∈ R, which proves the result.
First, we describe a method for estimating the absolute DOA by using relative DOAs obtained by the solution provided by independent component analysis (ICA) and the far-field model.
The reaction was stopped using the stop solution provided and the plates read at 450nm.
Shortly, 4 days after infection, the chips were fixed using the Fixation Solution provided with the kit for 1 h at 25 C, washed with PBS and permeabilised with the Permeabilisation Solution from the kit for 2 minutes on ice.
Thus, the general solution for Φ AC0 can be obtained by using the CW solution, provided that the coefficient μ a is replaced with the term [ μ a – (iω)/ v].
The cells were washed once using the wash solution provided and a normal immunofluorescence protocol was used to co-stain for other proteins, protecting from light at all times.
Endogenous peroxide activity was blocked using the peroxidase solution provided with the Envision dual labelling kit (DakoCytomation, Cambridge, UK).
Solutions of the two-state stochastic switching model (see Fig. S4A in the supplemental material) were found using the analytical solution provided by Balaban et al. (9).
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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