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Selecting an opposite pole quadrilateral, center point curve and circle point curves are obtained and drawn.
In Figure 1, are the separating hyperplane, triangular point and circle point represent two types of samples.
The absolute coordinates of a circle point corresponding to every prescribed position are expressed by those of the first one through matrix transformation.
Because the distance between any circle point and center point is always equal to the length of the side link jointed with the fixed base, a set of quadratic equations for the distance constraints are obtained.
After determining of the equations of the two circle point curves in an implicit form, the intersecting points of the curves are found and four Burmester points are picked up from the nine possible solutions, then using the pole triangle properties, the associated center points are obtained and five successive positions of the Burmester points are obtained.
To solve this problem, in this paper, different circle point curve equations are unified into the same form with the angle φ (φ ∈ (0, 2π)) as the parameter firstly, thus, an infinite number of rigid-body guidance solutions can be expressed on the finite solution regions through setting up the reflection relationship.
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Nevertheless, the selection of the Twelve Apostles and the special position of individual apostles within this circle pointed to the beginnings of a structuralization of his community.
The reliability of the existence of the group itself can be measured by the dispersion of the great circle points about their mean.
The nine unknown coefficients are obtained using nine circle points.
A weighted averaging of typical circle points in the vicinity of the initial position results in the final position.
Figure 3 Dielectric spectra for the suspensions of titania nanoparticles ( square points ), 250°C-heated Na-titanate nanofibers ( circle points ), and 250°C-heated H-titanate nanofibers ( triangle points ) [73].
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com