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The Ramsey theorist conjectures that no matter how haphazard the scattering appears, certain patterns and configurations of points must emerge.
Topics in projective geometry include homogeneous coordinates and the classical theorems about conics and configurations of points and lines.
If the two planes are parallel, then the configurations of points will be identical; otherwise this will not be true.
The approach is based on problems à la Cayley Bacharach and consists in describing the minimal configurations of points on X which fail to impose independent conditions on forms of some degree m.
The 3D affine transformation problem arises when the scale is not uniform within two or more configurations of points such that they vary within given dimensions.
This mapping defines a point process whose random variables realize random configurations of points.
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The paper provides symmetric fixed configurations of point vortices in multiply connected domains in the unit circle with many circular obstacles.
We are going to describe an A-infinity category with semi-orthogonal decomposition starting with a planar configuration of points.
This can be modeled very nicely as a configuration of points with upper and lower bounds on the distances between certain pairs of points.
Practical investigation of the repeatability of sound intensity measurements and the influence of some measurement parameters, such as the distance from the source, scanning pattern and speed, configuration of points and point density, on sound power determination has been presented.
It is a finite configuration of points, the nodes, in space or the plane where some pairs of the nodes are designated cables, constrained not to get further apart, and some pairs are designated struts, constrained not to get closer together.
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