Sentence examples for whenever a solution from inspiring English sources
Whenever a solution contains molecules with an electropositive hydrogen atom and with an electronegative atom (such as nitrogen, oxygen, sulfur, or fluorine), hydrogen bonding may occur and, when it does, the properties of the solution are affected profoundly.
The proposed approach is general and can be applied, therefore, to characterize the concentration polarization phenomena whenever a solution, whose rheological behavior is modeled by non-newtonian constitutive equation, is to be concentrated in a membrane module.
If either or or, then every solution of (4.2) is oscillatory whenever a solution of (4.1) is oscillatory.
Methodology Step 3: To resort to the classic Hungarian method whenever a solution could not be found, aiming at finding the combination minimizing the global metric.
The outer counter variable is increased by one, whenever a solution is not selected by probability and shows the number of rejection of perturbed solutions.
After loading the problem data, the simulator starts the solver module and initializes simulation time to 0. Whenever a solution approach reaches a point in execution at which it could possibly handle new transportation requests, it sends an update request to the simulator.
Suppose is locally compact, are defined on and have the following properties: is upper semicontinuous, is lower semicontinuous, and classical solutions (twice continuously differentiable solutions in the pointwise sense) of on relatively open subset of are solutions of Suppose, moreover, that whenever is a solution of on and is a solution of on we have on.
Thus, whenever a better solution is found, the algorithm discards the previous best solution.
Today, this technique is widely used but still requires consistent time investments whenever a competitive solution, involving to definitely increase weight efficiency, is needed.
The number of iterations allotted to a run is reduced whenever a known solution (stored in a tabu list) is revisited.
Osmosis occurs whenever a liquid solution is in contact with a semipermeable membrane i.e., a thin, porous wall whose porosity is such that some, but not all, of the components in the liquid mixture can pass through the wall.
