Results 231 to 240 of about 19,688 (266)

Species Packing in Two Dimensions

The American Naturalist, 1977
The two-dimensional case for invasion by a species into a resource space occupied by two resident species is considered. Numerical solutions for the condition for invasion were obtained, and invisibility spaces constructed for certain sets of values for the parameters of the system.
Ronald M. Yoshiyama, Jonathan Roughgarden   +1 more
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Packing dimensions of sections of sets

Mathematical Proceedings of the Cambridge Philosophical Society, 1999
We obtain a formula for the essential supremum of the packing dimensions of the sections of sets parallel to a given subspace. This depends on a variant of packing dimension defined in terms of local projections of sets.
Falconer, K. J., Järvenpää, M.
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Hausdorff, Similarity, and Packing Dimensions

2020
In this chapter we consider three fractal dimensions of a geometric object \({\varOmega } \subset {\mathbb {R}}^E\):
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Packing dimension, Hausdorff dimension and Cartesian product sets

Mathematical Proceedings of the Cambridge Philosophical Society, 1996
AbstractWe show that the dimension adim introduced by R. Kaufman (1987) coincides with the packing dimension Dim, but the dimension aDim introduced by Hu and Taylor [7] is different from the Hausdorff dimension. These results answer questions raised by Hu and Taylor.
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Fractal dimension analysis of aggregate packing process: A numerical case study on concrete simulation

Construction and Building Materials, 2021
Xu Yang, Mingzhi Wang
exaly  

Lattices and packings in higher dimensions

2010
A lattice in \(\mathbb{R}^3\) is a Λ that can be written as the set of integer combinations of three linearly independent vectors \(\{a,b,c\}\), say \(\Lambda= \mathbb{Z} \cdot a+\mathbb{Z} \cdot b+\mathbb{Z} \cdot c\). As in Sect. IX.4, two Euclidean invariants are immediately associated with a lattice; they are practically dictated when we seek to ...
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A genetic algorithm for packing in three dimensions

Proceedings of the 1992 ACM/SIGAPP symposium on Applied computing: technological challenges of the 1990's, 1992
Arthur L. Corcoran, Roger L. Wainwright
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Graphs of continuous functions and packing dimension

Journal of Mathematical Analysis and Applications, 2016
Jia Liu, Jun Wu
exaly  

On the Closest Packing of Spheres in n Dimensions

The Annals of Mathematics, 1947
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Quasisymmetric minimality on packing dimension for Moran sets

Journal of Mathematical Analysis and Applications, 2013
Lifeng Xi, Yanzhe Li
exaly