Results 11 to 20 of about 144,663 (264)

Packing dimension and Cartesian products [PDF]

open access: yesTransactions of the American Mathematical Society, 1996
We show that for any analytic set A A in R d \mathbf {R}^d , its packing dimension dim P ⁡ ( A ) \dim _{\mathrm {P}}(A) can be represented as
Christopher J. Bishop   +2 more
openaire   +3 more sources

On the Weisfeiler-Leman Dimension of Fractional Packing [PDF]

open access: yesInformation and Computation, 2020
26 pages, 1 figure, major revision of the previous ...
V. Arvind   +3 more
openaire   +5 more sources

Orthogonal Packings in Two Dimensions [PDF]

open access: yesSIAM 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.
Ronald L. Rivest   +2 more
openaire   +2 more sources

ON THE MUTUAL MULTIFRACTAL ANALYSIS FOR SOME NON-REGULAR MORAN MEASURES

open access: yesПроблемы 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
doaj   +1 more source

Some Dimensional Results of a Class of Homogeneous Moran Sets

open access: yesJournal of Mathematics, 2021
In this paper, we construct a class of special homogeneous Moran sets: mk-quasi-homogeneous perfect sets, and obtain the Hausdorff dimension of the sets under some conditions.
Jingru Zhang, Yanzhe Li, Manli Lou
doaj   +1 more source

Quasi-Packing Different Spheres with Ratio Conditions in a Spherical Container

open access: yesMathematics, 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
doaj   +1 more source

Nucleon matrix element of Weinberg's CP-odd gluon operator from the instanton vacuum

open access: yesPhysics Letters B, 2021
We calculate the nucleon matrix element of Weinberg's dimension-6 CP-odd gluon operator fabc(F˜μν)a(Fμρ)b(Fρν)c in the instanton vacuum. In leading order of the instanton packing fraction, the dimension-6 operator is effectively proportional to the ...
C. Weiss
doaj   +1 more source

Effective Packing Dimension and Traceability [PDF]

open access: yesNotre Dame Journal of Formal Logic, 2010
We study the Turing degrees which contain a real of effective packing dimension one. Downey and Greenberg showed that a c.e. degree has effective packing dimension one if and only if it is not c.e. traceable. In this paper, we show that this characterization fails in general.
Downey, Rod, Ng, Keng Meng
openaire   +2 more sources

On packing dimension preservation by distribution functions of random variables with independent Q˜-digits

open access: yesModern Stochastics: Theory and Applications, 2015
The article is devoted to finding conditions for the packing dimension preservation by distribution functions of random variables with independent $\tilde{Q}$-digits.
Oleksandr Slutskyi
doaj   +1 more source

A Formula of Packing Pressure of a Factor Map

open access: yesEntropy, 2017
In this paper, using the notion of packing pressure, we show a formula of packing pressure of a factor map. We also give an application in conformal repellers.
Cao Zhao   +3 more
doaj   +1 more source

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