The fractal characteristics of cement-based materials with grinding aid via BSE image analysis [PDF]
Scientific ReportsEnergy conservation and emission reduction are crucial for the cement industry to meet “carbon peak” and “carbon neutrality” targets, with a particular emphasis on grinding aids.
Chunfu Wang, Yuling Wang, Yunfeng Pan
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The Second Generalization of the Hausdorff Dimension Theorem for Random Fractals
Mathematics, 2022 In this paper, we present a second partial solution for the problem of cardinality calculation of the set of fractals for its subcategory of the random virtual ones.
Mohsen Soltanifar
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On the Weisfeiler-Leman Dimension of Fractional Packing [PDF]
Information and Computation, 2020 26 pages, 1 figure, major revision of the previous ...
Vikraman Arvind +3 more
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Packing dimensions of basins generated by distributions on a finite alphabet
Журнал Белорусского государственного университета: Математика, информатика, 2021 We consider a space of infinite signals composed of letters from a finite alphabet. Each signal generates a sequence of empirical measures on the alphabet and the limit set corresponding to this sequence.
Victor I. Bakhtin, Bruno Sadok
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Orthogonal Packings in Two Dimensions [PDF]
SIAM Journal on Computing, 1980 We consider problems of packing an arbitrary collection of rectangular pieces into an open-ended, rectangular bin so as to minimize the height achieved by any piece. This problem has numerous applications in operations research and studies of computer operation.
Brenda S. Baker +2 more
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Optimizing e-commerce warehousing through open dimension management in a three-dimensional bin packing system [PDF]
PeerJ Computer Science, 2023 In the field of e-commerce warehousing, maximizing the utilization of packing bins is a fundamental goal for all major logistics enterprises. However, determining the appropriate size of packing bins poses a practical challenge for many logistics ...
Jianglong Yang +6 more
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On the Fractal Measures and Dimensions of Image Measures on a Class of Moran Sets
Mathematics, 2023 In this work, we focus on the centered Hausdorff measure, the packing measure, and the Hewitt–Stromberg measure that determines the modified lower box dimension Moran fractal sets. The equivalence of these measures for a class of Moran is shown by having
Najmeddine Attia, Bilel Selmi
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Multifractal phenomena and packing dimension [PDF]
Revista Matemática Iberoamericana, 2019 We undertake a general study of multifractal phenomena for functions or measures. We show that the existence of several kinds of multifractal functions or measures can be easily deduced from an abstract statement, leading to new results. This general approach does not work for Fourier or Dirichlet series.
Bayart, Frédéric, Heurteaux, Yanick
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ON THE MUTUAL MULTIFRACTAL ANALYSIS FOR SOME NON-REGULAR MORAN MEASURES
Проблемы анализа, 2023 In this paper, we study the mutual multifractal Hausdorff dimension and the packing dimension of level sets 𝐾(𝛼, 𝛽) for some non-regular Moran measures satisfying the so-called Strong Separation Condition.We obtain sufficient conditions for the valid ...
B. Selmi, N. Yu. Svetova
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Quasi-Packing Different Spheres with Ratio Conditions in a Spherical Container
Mathematics, 2023 This paper considers the optimized packing of different spheres into a given spherical container under non-standard placement conditions. A sphere is considered placed in the container if at least a certain part of the sphere is in the container. Spheres
Andreas Fischer +4 more
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