Results 21 to 30 of about 18,960 (248)

METHODOLOGICAL BASIS OF SOLVING SPHERE PACKING PROBLEM: TRANSFORMATION OF KNAPSACK PROBLEM TO OPEN DIMENSION PROBLEM

open access: yesСучасні інформаційні системи, 2019
The subject matter of the paper is the problem of optimal packing of spheres of different dimension into a container of arbitrary geometric shape. The goal is to construct a mathematical model which associates different statements of the problem.
Georgiy Yaskov, Sergiy Shekhovtsov
doaj   +1 more source

Comparative Study on the Macroscopic and Microscopic Properties of UHPC Mixed with Limestone Powder and Slag Powder

open access: yesGeofluids, 2021
This paper explores the development laws of the fluidity, compressive strength, and autogenous shrinkage of ultrahigh performance cement (UHPC) mixed with limestone powder (LP) and highly active ground slag powder (SP).
Menghui Yang   +4 more
doaj   +1 more source

Some typical properties of dimensions of sets and measures

open access: yesAbstract and Applied Analysis, 2005
This paper contains a review of recent results concerning typical properties of dimensions of sets and dimensions of measures. In particular, we are interested in the Hausdorff dimension, box dimension, and packing dimension of sets and in the Hausdorff ...
Józef Myjak
doaj   +1 more source

The sphere packing problem in dimension $24$ [PDF]

open access: yesAnnals of Mathematics, 2017
17 ...
Cohn, H.   +4 more
openaire   +3 more sources

On the Mass Fractal Character of Si-Based Structural Networks in Amorphous Polymer Derived Ceramics

open access: yesNanomaterials, 2015
The intermediate-range packing of SiNxC4−x (0 ≤ x ≤ 4) tetrahedra in polysilycarbodiimide and polysilazane-derived amorphous SiCN ceramics is investigated using 29Si spin-lattice relaxation nuclear magnetic resonance (SLR NMR) spectroscopy.
Sabyasachi Sen, Scarlett Widgeon
doaj   +1 more source

Experimental and Numerical Studies on Water Cooling Tower Performance [PDF]

open access: yesEngineering and Technology Journal, 2007
Theoretical and experimental studies were conducted on forced draftwater cooling tower. In such towers, the heat and mass transfer take placefrom the hot water to the bulk air, which passes through the tower.
Waheed Mohammad, Jalal Jalil
doaj   +1 more source

Transcendental Julia sets with fractional packing dimension [PDF]

open access: yesConformal Geometry and Dynamics of the American Mathematical Society, 2021
We construct transcendental entire functions whose Julia sets have packing dimension in ( 1 , 2 ) (1,2) . These are the first examples where the computed packing dimension is not 1 1 or 2 2 . Our analysis will allow us further show that the set of packing dimensions
openaire   +3 more sources

Quasisymmetric Minimality on Packing Dimension for Homogeneous Perfect Sets

open access: yesAxioms
The quasisymmetric minimality for fractal sets is a hot research topic for scholars focused on the fractal geometry and quasisymmetric mappings. In this paper, we study the quasisymmetric minimality on packing dimension for homogeneous perfect sets.
Shishuang Liu, Yanzhe Li, Jiaojiao Yang
doaj   +1 more source

Π-GISANS: probing lateral structures with a fan shaped beam

open access: yesScientific Reports, 2021
We have performed grazing incidence neutron small angle scattering using a fan shaped incident beam focused along one dimension. This allows significantly reduced counting times for measurements of lateral correlations parallel to an interface or in a ...
Alexei Vorobiev   +3 more
doaj   +1 more source

Packing-dimension profiles and fractional Brownian motion [PDF]

open access: yesMathematical Proceedings of the Cambridge Philosophical Society, 2008
AbstractIn order to compute the packing dimension of orthogonal projections Falconer and Howroyd [3] have introduced a family of packing dimension profiles Dims that are parametrized by real numbers s > 0. Subsequently, Howroyd [5] introduced alternate s-dimensional packing dimension profiles P-Dims by using Caratheodory-type packing measures, and ...
Khoshnevisan, Davar, Xiao, Yimin
openaire   +3 more sources

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