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  1. Capacity

    How much traffic can a facility carry? This is one of the fundamental questions designers and traffic engineers have been asking since highways were...
    Chapter 2024
  2. BV Capacity and Sobolev Capacity for the Laguerre Operator

    This paper considers some topics of geometric measure theory related to the Laguerre operator. Firstly, this paper is devoted to introducing and...

    Article 13 April 2023
  3. Capacity

    We define the notion of abstract capacity in the sense of Choquet in Sect. 7.1 and the variational capacity of degree p in Sect. 7.2. The space of...
    Michel Willem in Functional Analysis
    Chapter 2022
  4. New Estimations for Coisotropic Ekeland–Hofer–Zehnder Capacity

    In this paper, we give an estimation for coisotropic Ekeland–Hofer–Zehnder capacity by combinatorial formula. This result implies that coisotropic...

    Article 12 May 2024
  5. Fast Computation of Analytic Capacity

    A boundary integral equation method is presented for fast computation of the analytic capacities of compact sets in the complex plane. The method is...

    Mohamed M. S. Nasser, Christopher C. Green, Matti Vuorinen in Computational Methods and Function Theory
    Article Open access 07 June 2024
  6. Identifying the Capacity of a Social Network

    Abstract

    The diffusive logistic model of information dissemination in a social network is considered in the form of a one-dimensional nonstationary...

    Article 01 March 2024
  7. Implications of Some Mass-Capacity Inequalities

    Applying a family of mass-capacity related inequalities proved in Miao (Peking Math J 2023, https://doi.org/10.1007/s42543-023-00071-7 ...

    Article Open access 23 May 2024
  8. p-Capacity with Bessel Convolution

    We define and examine nonlinear potential by Bessel convolution with Bessel kernel. We investigate removable sets with respect to Laplace-Bessel...

    Á. P. Horváth in Potential Analysis
    Article Open access 29 August 2023
  9. The Highway Capacity Manual (HCM) and Its Methods

    The Highway Capacity Manual (HCM) is a major reference document used in traffic analysis throughout the United States and worldwide. The HCM has been...
    Chapter 2024
  10. Uniformly Perfect Sets, Hausdorff Dimension, and Conformal Capacity

    Using the definition of uniformly perfect sets in terms of convergent sequences, we apply lower bounds for the Hausdorff content of a uniformly...

    Oona Rainio, Toshiyuki Sugawa, Matti Vuorinen in The Journal of Geometric Analysis
    Article Open access 06 April 2024
  11. Hofer–Zehnder capacity of magnetic disc tangent bundles over constant curvature surfaces

    We compute the Hofer–Zehnder capacity of magnetic disc tangent bundles over constant curvature surfaces. We use the fact that the magnetic geodesic...

    Johanna Bimmermann in Archiv der Mathematik
    Article Open access 16 May 2024
  12. A note on the capacity estimate in metastability for generic configurations

    In this paper we further develop the ideas from Geometric Function Theory initially introduced in Avelin et al. (Commun Math Phys 404:401–437, 2023),...

    Benny Avelin, Vesa Julin in manuscripta mathematica
    Article Open access 08 April 2024
  13. Capacity decisions and revenue sharing in a telemedicine healthcare system

    This paper studies the operations of a telemedicine service system consisting of independent hospitals [general hospital (GH) and telemedicine firm...

    Liangliang Sun, Miao Yu, Fenghao Wang in Journal of Combinatorial Optimization
    Article 24 November 2023
  14. Mass, Capacitary Functions, and the Mass-to-Capacity Ratio

    We study connections among the ADM mass, positive harmonic functions, and capacity of the boundary on asymptotically flat 3-manifolds of nonnegative...

    Article 08 June 2023
  15. Triebel–Lizorkin capacity and Hausdorff measure in metric spaces with chain condition

    In this paper, we improve the lower bound estimate for capacity in Hajłasz–Triebel–Lizorkin spaces in terms of Hausdorff Measure obtained in Karak...

    Debarati Mondal, Nijjwal Karak in The Journal of Analysis
    Article 27 May 2024
  16. Determination of the Thermal Conductivity and Volumetric Heat Capacity of Substance from Heat Flux

    Abstract

    The study of nonlinear problems related to heat transfer in a substance is of great practical important. Earlier, this paper’s authors...

    A. Yu. Gorchakov, V. I. Zubov in Computational Mathematics and Mathematical Physics
    Article 01 April 2024
  17. Study on the Problem of Multistage Vaccine Production and Allocation with Capacity Constraints

    Vaccination is the best way to build an immune barrier to control a new infectious disease. Considering the limited production capacity at the...

    Qianqian Han, Yuwei Zhang, ... Yong Fang in Journal of Systems Science and Complexity
    Article 19 October 2023
  18. Capacity and the quasicentral modulus

    We point out that the quasicentral modulus is a noncommutative analogue of a nonlinear rearrangement invariant Sobolev condenser capacity. In the...

    Dan-Virgil Voiculescu in Acta Scientiarum Mathematicarum
    Article Open access 01 August 2022
  19. Turing vegetation patterns in flat arid environments with finite soil carrying capacity

    Turing vegetation patterns in flat arid environments are investigated in the framework of a modified version of the Klausmeier model in which finite...

    Giancarlo Consolo, Gabriele Grifó in Ricerche di Matematica
    Article 03 July 2023
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