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This paper presents a new method to obtain the distance distribution between the mobile node and any reference node in a regular hexagon. The existing distance distribution research mainly focuses on static network deployment and ignores…

Information Theory · Computer Science 2021-11-15 Ziyan Zhu , Fei Tong

The diameter distribution of a given species of deciduous trees in mature, temperate zone forests is well approximated by a Gamma distribution. Here we give new experimental evidence for this conjecture by analyzing deciduous tree size data…

Populations and Evolution · Quantitative Biology 2023-10-17 Szabolcs Kelemen , Máté Józsa , Tibor Hartel , György Csóka , Zoltán Néda

A natural similarity in body dimensions of terrestrial animals noticed by ancient philosophers remains the main key to the problem of mammalian skeletal evolution with body mass explored in theoretical and experimental biology and tested by…

Biological Physics · Physics 2007-05-23 V. B. Kokshenev , J. K. L. Silva , G. J. M. Garcia

Many generalised distributions exist for modelling data with vastly diverse characteristics. However, very few of these generalisations of the normal distribution have shape parameters with clear roles that determine, for instance, skewness…

Methodology · Statistics 2023-12-01 Andriette Bekker , Matthias Wagener , Muhammad Arashi

Musculoskeletal disorders represent a significant global health burden and are a leading cause of disability worldwide. While MRI is essential for accurate diagnosis, its interpretation remains exceptionally challenging. Radiologists must…

Computer Vision and Pattern Recognition · Computer Science 2026-02-25 Tian Lan , Lei Xu , Zimu Yuan , Shanggui Liu , Jiajun Liu , Jiaxin Liu , Weilai Xiang , Hongyu Yang , Dong Jiang , Jianxin Yin , Dingyu Wang

The distribution of urban services reveals critical patterns of human activity and accessibility. Proximity to amenities like restaurants, banks, and hospitals can reduce access barriers, but these services are often unevenly distributed,…

Physics and Society · Physics 2024-10-29 Federica Fanelli , Hygor P. M. Melo , Matteo Bruno , Vittorio Loreto

Is there an advantage to heterogeneity in a population where individuals grow and divide by fission? This is a broad question, to which there is no easy universal answer. This article aims to provide a quantitative answer in the specific…

Analysis of PDEs · Mathematics 2025-05-19 Marie Doumic , Anaïs Rat , Magali Tournus

We review recent developments in size separation in vibrated granular materials. Motivated by a need in industry to efficiently handle granular materials and a desire to make fundamental advances in non-equilibrium physics, experimental and…

Soft Condensed Matter · Physics 2009-11-10 A. Kudrolli

We show that the spreading of the center-of-mass density of ultracold attractively interacting bosons can become superballistic in the presence of decoherence, via single-, two- and/or three-body losses. In the limit of weak decoherence, we…

Quantum Gases · Physics 2017-01-10 Christoph Weiss , Simon L. Cornish , Simon A. Gardiner , Heinz-Peter Breuer

A bonded particle model is used to explore how variations in the material properties of brittle, isotropic solids affect critical behavior in fragmentation. To control material properties, a new model is proposed which includes breakable…

Soft Condensed Matter · Physics 2023-09-14 Joel T. Clemmer , Mark O. Robbins

Toroidal structures are a common feature in a wide variety of astrophysical objects, including dusty tori in AGNs, rings in galaxies, protoplanetary disks, and others. The matter distribution in such structures is not homogeneous and can be…

Astrophysics of Galaxies · Physics 2025-01-22 Elena Bannikova , Serhii Skolota , Massimo Capaccioli

We present a summary of recent assessments of the mass distribution in disk galaxies. Of issue in order to characterize galaxy formation models is to determine the relative fraction of baryons and dark matter at all radii in galaxies. For…

Astrophysics of Galaxies · Physics 2015-06-23 Stephane Courteau , Aaron A. Dutton

This study elaborates some examples of a simple evolutionary stochastic rate process where the population rate of change depends on the distribution of properties--so different cohorts change at different rates. We investigate the effect on…

Populations and Evolution · Quantitative Biology 2010-01-26 C. T. J. Dodson

The theory of homogeneously driven granular gases of hard particles predicts that the stationary state is characterized by a velocity distribution function with overpopulated high-energy tails as compared to the exponential decay valid for…

Soft Condensed Matter · Physics 2017-10-10 Christian Scholz , Thorsten Pöschel

To understand how the human visual system analyzes images, it is essential to know the structure of the visual environment. In particular, natural images display consistent statistical properties that distinguish them from random luminance…

Disordered Systems and Neural Networks · Physics 2014-03-05 M. Sigman , G. A. Cecchi , C. D. Gilbert , M. O. Magnasco

The distribution function of particles over clusters is proposed for a system of identical intersecting spheres, the centres of which are uniformly distributed in space. Consideration is based on the concept of the rank number of clusters,…

Statistical Mechanics · Physics 2023-02-01 Murat Kh. Khokonov , Azamat Kh. Khokonov

Cosmological density fields are assumed to be translational and rotational invariant, avoiding any special point or direction, thus satisfying the Copernican Principle. A spatially inhomogeneous matter distribution can be compatible with…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 Francesco Sylos Labini , Yuri V. Baryshev

Radiomics is a promising technology that focuses on improvements of image analysis, using an automated high-throughput extraction of quantitative features. However, the character of lesion is affected by the surrounding tissue. A lesion on…

Quantitative Methods · Quantitative Biology 2021-11-12 Takuma Usuzaki , Kengo Takahash , Kazuma Umemiya

Osteoporosis, characterized by reduced bone mineral density (BMD) and compromised bone microstructure, increases fracture risk in aging populations. While dual-energy X-ray absorptiometry (DXA) is the clinical standard for BMD assessment,…

Image and Video Processing · Electrical Eng. & Systems 2025-06-26 Jiaxing Huang , Heng Guo , Le Lu , Fan Yang , Minfeng Xu , Ge Yang , Wei Luo

The primary objective of this study was to develop a method that allows accurate quantification of plantar soft tissue stiffness distribution and homogeneity. The secondary aim of this study is to investigate if the differences in soft…

Computer Vision and Pattern Recognition · Computer Science 2022-03-29 Maaynk Patwari , Panagiotis Chazistergos , Lakshmi Sundar , Nachiappan Chockalingam , Ambadi Ramachandran , Roozbeh Naemi
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