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A point's point of view of stringy geometry [PDF]
The notion of a "point" is essential to describe the topology of spacetime. Despite this, a point probably does not play a particularly distinguished role in any intrinsic formulation of string theory. We discuss one way to try to determine the notion of a point from a worldsheet point of view.
Paul S. Aspinwall
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EQUILATERAL POINT SETS IN ELLIPTIC GEOMETRY [PDF]
This chapter highlights equilateral point sets in elliptic geometry. Elliptic space of r−1 dimensions E r−1 is obtained from r -dimensional vector space R r with inner product ( a , b ). For 1 , any k -dimensional linear subspace R k of R r is called a ( k−1 )-dimensional elliptic subspace E k−1 .
J. H. van Lint, J.J. Seidel
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On a class of point-reflection geometries
AbstractManara and Marchi have recently given a system of axioms for point-reflection geometries. In this note classes of kinematic spaces are considered in which such reflection geometries can be found. It will be shown that with an additional axiom they can be described by the core in the sense of Bruck (1971) of commutative kinematic spaces without ...
Herbert Hotje+2 more
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On preferred point geometry in statistics [PDF]
A brief synopsis of progress in differential geometry in statistics is followed by a note of some points of tension in the developing relationship between these disciplines. The preferred point nature of much of statistics is described and suggests the adoption of a corresponding geometry which reduces these tensions.
Frank Critchley+2 more
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Efficient Large-Scale Point Cloud Geometry Compression [PDF]
Due to the significant bandwidth and memory requirements for transmitting and storing large-scale point clouds, considerable progress has been made in recent years in the field of large-scale point cloud geometry compression.
Shiyu Lu, Cheng Han, Huamin Yang
doaj +2 more sources
Geometry Students’ Arguments About a 1-Point Perspective Drawing [PDF]
The practice of formulating and justifying claims is a fundamental aspect of doing mathematics, and in geometry, students’ use of diagrams is integral to how they establish arguments. We applied Toulmin’s model to examine 23 geometry students’ arguments
Anna F. DeJarnette, Gloriana Gonzalez
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Two-point functions and their applications in geometry [PDF]
The maximum principle is one of the most important tools in the analysis of geometric partial differential equations. Traditionally, the maximum principle is applied to a scalar function defined on a manifold, but in recent years more sophisticated versions have emerged.
Simon Brendle
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Fitting Geometric Shapes to Fuzzy Point Cloud Data [PDF]
This article describes procedures and thoughts regarding the reconstruction of geometry-given data and its uncertainty. The data are considered as a continuous fuzzy point cloud, instead of a discrete point cloud.
Vincent B. Verhoeven+2 more
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Geometry of antimatroidal point sets
14 pages, 3 ...
Yulia Kempner, Vadim E. Levit
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Missing the point in noncommutative geometry [PDF]
AbstractNoncommutative geometries generalize standard smooth geometries, parametrizing the noncommutativity of dimensions with a fundamental quantity with the dimensions of area. The question arises then of whether the concept of a region smaller than the scale—and ultimately the concept of a point—makes sense in such a theory.
Huggett N., Lizzi F., Menon T.
openaire +7 more sources