In this paper, we characterize the Voronoi diagram of spheres in three-dimensional Euclidean space, which is also known as an additively weighted Voronoi diagram, and propose an algorithm to construct the diagram.
A simple titration technique was used to construct the diagram.
Fortunately, by the Fundamental Theorem of Persistent Homology [61], there is a choice of basis vectors of (H_{p}(K_{i})) for each (iin {1,dots, l}) such that one can construct the diagram as a well-defined and unique collection of disjoint half-open intervals, collectively called a barcode.4 We give an example of a barcode in Figure 5(c).
In constructing the phase diagram we found the following new points also.
In this paper, we present a plane sweep algorithm for constructing the Voronoi diagram of a set of non-crossing line segments in 2D space using a distance metric induced by a regular k-gon and study the robustness of the algorithm.
After constructing the Ishikawa diagram, it is important to perform failure mode and effect analysis.
The solid solution (PbxCa1−x 5(PO4)3OH can be treated as an ideal one in constructing the Lippmann diagram because the Lippmann solutus position is insensitive to the excess Gibbs free energy of mixing, although the position of the Lippmann solidus can be obviously affected [46] (Fig. 8c).
The entire expansion for any given moment can be expressed by constructing the Feynman diagrams for each term.
However, it was not merely the visual representations of sociotechnical circuits that proved vital to our HP project; rather, it was the work of constructing the circuit diagrams that served as a reflexive practice and pedagogical tool that, within the constraints of the iGEM Competition, opened up potential avenues for care of the self and others.
The prediction was tested by constructing the corresponding phase diagram using low- and wide-angle x-ray diffraction, differential scanning calorimetry, and polarized light microscopy.
This is done by constructing the singular value diagram of the block Hankel matrix for the normalized wind speed data as shown in Figure 5.
