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A subspace which is maximal for a certain group of points might not be maximal for another group of points.
Through each group of points, straight lines are drawn, which intersect at some point.
For the second group of points higher spread and lower median values can be evidenced.
A cage is an ordered group of points V= v1,…2,v,v N ) on the plane (mathbb {R}^{2}).
In the first step, it assesses a group of points named as population, in accordance with the target function.
If the second group of points is also found to meet the criteria, then again the regulating bid is activated.
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Finally, in the third approach a group of point sources emitting a pressure pulse in the time domain is used to model an internal sound source.
To define this method we apply invariance properties of Newton's free boundary problem under a scaling group of point transformations.
The proposed approach coordinates a group of point-mass mobile agents to achieve a desired formation, while avoiding collisions between themselves.
Generally, this technique is, however, based on the study of the invariance property of the differential equations under one-parameter Lie group of point transformations [13, 14].
The infinitesimal generators of every one-parameter Lie group of point symmetries of the 2D gKS equation are: V 1 = ∂ ∂x, V 2 = ∂ ∂z, V 3 = ∂ ∂t, V 4 = t ∂ ∂x + 1 4 ∂ ∂H.
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