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The silane solution was modified by the addition of cerium nitrate or lanthanum nitrate in order to introduce corrosion inhibition properties in the silane film.
The solution was modified with the addition of 1% Triton depending on homogenization step.
For assay validation and sample analysis, the coating solution was modified to 3.5 μg/mL in coupling buffer.
For ion selectivity experiments, this solution was modified by replacing NaCl with NaI, NaSCN, or sodium gluconate (no additional Ca2+ was added to compensate for the Ca2+ buffering ability of gluconate).
Buffer solution (10 mM Ches and 300 mM KCl, pH 9) was added to the cis compartment, whereas, in the trans compartment, the buffer solution was modified to contain 150 mM KCl.
Anolyte solution was Modified Hoagland solution buffered with 8 mM phosphate buffer (pH 7.0).
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The concentration of oxygen ions in the solution was modifying by dropping the calculated amount of BaO.
To verify that all three dynamic systems are responding to their respective stimuli in the expected manner, the corresponding strands for each in solution were modified with a donor-quencher pair (fluorescein-BHQ) as shown in Supplementary Fig. 6d f.
The central rationale underlying the proposed complexity reduction strategy is straightforward: when a local search operator is applied to a given solution, only a limited part of this solution is modified.
Here, the inner asymptotic solution is modified to allow for partial slip providing a universal solution for this class of problem, and a comparison with the outer solution is made.
To account for large contact areas, the analytical solution is modified based on numerical results obtained from a detailed finite element analysis of the compression of two identical spherical aluminum particles in contact.
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