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Again, solutions (paths and corresponding costs) obtained in different runs of the algorithm using different seeds of random number generator are analyzed and it is observed that for many problems there are multiple optimal paths.
Numerically solving continuous geodesic problems or routing vector field problems requires discretizing continuous functions involved in problems in a systematic way and then producing solutions (paths or vectors) at finite locations in the ROI, e.g., equally spaced grid points in the ROI.
The overall coverage score of these solutions paths is 0.536 which indicates that they cover about half of the countries exhibiting this outcome.
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Far UV circular dichroism (CD) spectra were collected on an Applied PhotoPhysics Pi-Star™ spectrophotometer at 298 K using a 0.5 mm (80 110 μM solutions) path length quartz cuvette over a wavelength range from 180 to 260 nm.
Suppose one knows some solution path and wants to find out how nearby solution paths behave.
By studying how this "point of first return" behaves, information is gained about these nearby solution paths.
Well-structured problems (also called well-defined problems) have clear solution paths: the problem solver is usually able to specify, with relative ease, all the steps that must be taken to reach a solution.
Ill-structured problems (also called ill-defined problems) do not have clear solution paths, and in such cases the problem solver usually cannot specify the steps needed to reach a solution.
Figure 5 Constraints optimisation solution paths.
A set of solution paths (solution space), which satisfy the application constraints, will be generated.
In this case the aggregator may show alternate solutions or solution paths to a final result.
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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