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A Method for Generating Uniformly Scattered Points on the L p-norm Unit Sphere and Its Applications
Generating Uniformly Scattered Points L p-norm Unit Sphere and Its Applications
2015/3/20
A Method for Generating Uniformly Scattered Points on the L p-norm Unit Sphere and Its Applications.
The Pachner graph and the simplification of 3-sphere triangulations
The Pachner graph 3-sphere triangulations
2010/11/23
It is important to have fast and effective methods for simplifying 3-manifold triangulations without losing any topological information. In theory this is difficult: we might need to make a triangula...
Determining When The Universal Abelian Cover of a Graph Manifold is a Rationla Homology Sphere
Universal Abelian Cover Graph Rationla Homology Sphere
2010/11/8
It was shown in my earlier article that the splice diagram of a rational homology sphere graph manifold determines the manifolds universal abelian cover. In this article we use the proof of this to g...
Equivalence problem for the orthogonal webs on the sphere
Equivalence problem orthogonal webs sphere
2010/12/9
We solve the equivalence problem for the orthogonally separable webs on the three-sphere under the action of the isometry group. This continues a classical project initiated by Olevsky in which he sol...
The cardinality of a sphere relative to an edit distance
Alphabet Binomial coefficient Binomial theorem
2010/9/13
These cardinalities are showed to satisfy some curious recurrence relations. These recurrence relations incite us to introduce new types of binomial coefficients and binomial formula.
A Minimum Energy Condition of 1-Dimensional Periodic Sphere Packing
Packing Energy One-dimension
2008/7/3
A Minimum Energy Condition of 1-Dimensional Periodic Sphere Packing.