Results 61 to 70 of about 5,153,606 (196)

Determination of the Optimal Window Size for the Spatial XOR Filter

Software: Practice and Experience, Volume 55, Issue 11, Page 1773-1784, November 2025.
ABSTRACT Introduction An XOR filter is a probabilistic data structure representing a set of keys for membership queries. Given a set X⊂𝒰 of n$$ n $$ keys, and hash functions h1,…,hk:𝒰→{1,…,m}, the filter relies on filling in an array H[1,…,m]$$ H\left[1,\dots, m\right] $$ such that, for all x∈X$$ x\in X $$, h1(x)⊕⋯⊕hk(x)$$ {h}_1(x)\oplus \cdots \oplus {
Paulo Diogo Rodrigues Leão, Fabiano de Souza Oliveira, Paulo Eustaquio Duarte Pinto   +2 more
wiley   +1 more source

The Hodge realization of the polylogarithm on the product of multiplicative groups [PDF]

, 2020
The purpose of this article is to describe explicitly the polylogarithm class in absolute Hodge cohomology of a product of multiplicative groups, in terms of the Bloch-Wigner-Ramakrishnan polylogarithm functions.
Yamamoto, Shuji, Bannai, Kenichi, Hagihara, Kei, Yamada, Kazuki   +3 more
core   +1 more source

Families of skew linear harmonic Euler sums involving some parameters

Cubo
In this study we investigate a family of skew linear harmonic Euler sums involving some free parameters. Our analysis involves using the properties of the polylogarithm function, commonly referred to as the Bose-Einstein integral.
Anthony Sofo
doaj   +1 more source

Topological Phases in Magnonics

Advanced Physics Research, Volume 4, Issue 3, March 2025.
Topological magnonics has received a great deal of attention in the past decade owing to its fundamental significances and potential applications. This review provides a comprehensive overview of recent research progresses on topological phases of magnons, including Chern insulators, high‐order topological insulators, Z2 topological insulators, and ...
Fengjun Zhuo, Jian Kang, Aurélien Manchon, Zhenxiang Cheng   +3 more
wiley   +1 more source

Multiple Argument Euler Sum Identities

Mathematics
We develop a number of new identities for linear Euler harmonic number sums with multiple argument. Some new examples of even weight linear Euler harmonic sum identities are given.
Anthony Sofo
doaj   +1 more source

Achieving Almost All Blockchain Functionalities with Polylogarithmic Storage

, 2022
In current blockchain systems, full nodes that perform all of the available functionalities need to store the entire blockchain. In addition to the blockchain, full nodes also store a blockchain-summary, called the \emph{state}, which is used to efficiently verify transactions. With the size of popular blockchains and their states growing rapidly, full
Parikshit Hegde, Robert Streit, Yanni Georghiades, Chaya Ganesh, Sriram Vishwanath   +4 more
openaire   +2 more sources

Carlitz operators and higher polylogarithm identities

Proceedings of the London Mathematical Society, Volume 130, Issue 3, March 2025.
Abstract We study a higher dimension generalization of Carlitz's polynomials, first introduced by Papanikolas, and compute an ∞$\infty$‐adic limit of a sequence of normalizations, relating it to the exponential function of an Anderson module that we completely describe.
F. Pellarin
wiley   +1 more source

Polylogarithms and the Asymptotic Formula for the Moments of Lebesgue’s Singular Function

Моделирование и анализ информационных систем, 2016
Recall the Lebesgue's singular function. We define a Lebesgue's singular function \(L(t)\) as the unique continuous solution of the functional equation$$L(t) = qL(2t) +pL(2t-1),$$where \(p,q>0\), \(q=1-p\), \(p\ne q\).The moments of Lebesque' singular
E. A. Timofeev
doaj   +1 more source

Trait diversity in plant communities maintained by competition for water and light

Ecological Monographs, Volume 95, Issue 1, February 2025.
Abstract Ecological communities frequently exhibit remarkable taxonomic and trait diversity, and this diversity is consistently shown to regulate ecosystem function and resilience. However, ecologists lack a synthetic theory for how this diversity is maintained when species compete for limited resources, hampering our ability to project the future of ...
Jacob I. Levine, Jonathan M. Levine, Stephen W. Pacala   +2 more
wiley   +1 more source

The k‐Augmented Pascal Matrix and Its Properties

Journal of Mathematics, Volume 2025, Issue 1, 2025.
We define the k‐augmented Pascal matrix and present both a generalization and an alternative version of this matrix. We derive some properties of the defined matrices and establish a connection with generalized Stirling numbers and second‐order Eulerian numbers. Additionally, we provide a factorization of the k‐augmented Pascal matrix, highlighting its
Gonca Kizilaslan, Taekyun Kim, Pramita Mishra   +2 more
wiley   +1 more source