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An example of an illegal operation or "lucky boner" is: Among the many relationships of numbers that have fascinated man are those that suggest (or were derived from) the arrangement of points representing numbers into series of geometrical figures.
An example of this is Projection a stunning demo of how a body moving in space can be viewed digitally by a virtual arrangement of points.
This mapping strictly preserved the relative arrangement of points, but made the local density of points in Figure 8D less banded.
The advantage conferred by this technique is that we can distinguish not only between Poisson, regular and clustered distributions but also examine any lattice regularities that may underlie the spatial arrangement of points.
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After intensive study of lattice properties, he derived in 1848 the 14 possible arrangements of points in space.
Typically, a physical process is modeled on a lattice, which consists of large arrangements of points that have links to their immediate neighbours.
In fact, there are only three completely symmetric arrangements of points (n > 2) on the sphere: The vertices of the tetrahedron, the octahedron and the icosahedron are equally distributed [31] on a commemorated sphere (Figure 6a). Figure 6 Triangulations of the sphere.
For example, a philosopher might hold that tables and other composite objects exist, but think that facts about tables are completely grounded in facts about the arrangements of point particles or facts about the state of a wave function.
The effects of the number and geometry of access points (APs), the number and spatial arrangement of reference points (RPs), and the number of signal strength samples taken per location are presented, both through simulations and analytical lower bound estimates.
For each image, RSA constructs a Region Property Space, regarding each region's (scale, angle) pair as a point in a polar coordinate system, and encodes the arrangement of these points into the BoW vector.
Perhaps this one: Among worlds in which are instantiated no perfectly natural relations not actually instantiated, no two worlds differ with respect to what is true without differing with respect to the geometrical arrangement of spacetime points, or with respect to which perfectly natural properties are instantiated at those points.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com