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On the Divisor Problem with Congruence Conditions: 《数学进展》2025年第1期1-17,共17页JIA Lirui ZHAI Wenguang CAI Tianxin; supported by the Talent Fund of Beijing Jiaotong University(No.2020RC012);NSFC(No.11871295),supported by NSFC(No.11971476),supported by NSFC(No.12071421)。; Let d(n;r_(1),q_(1),r_(2),q_(2))be the number of factorization n=n_(1)n_(2)satisfying n_i≡r_i(mod q_i)(i=1,2)andΔ(x;r_(1),q_(1),r_(2),q_(2))be the error term of the summatory function of d(n;r_(1),q_(1),r_(2),q_(2))...; 关键词：divisor problem sign change congruence condition

The Kernel and Trace Approach to Congruences on Completely Regular Semirings: 《Algebra Colloquium》2024年第4期639-650,共12页Xuliang Xian Yong Shao; Natural Science Foundation of China(11971383,11801239);Shaanxi Fundamental Science Research Project for Mathematics and Physics(22JSY023).; On completely regular semirings,we give alternative characterizations for the kernel of a congruence and idempotent pure congruences.Then we give alternative characterizations for the trace of a congruence and idempot...; 关键词：SEMIRING Green's relation CONGRUENCE KERNEL trace

Industry-Based Congruence Of Undergraduate Colleges And Universities In Weifang,China: 《Education and Teaching Research》2024年第4期70-78,共9页Qin Zhaoguang; This study investigates the alignment between undergraduate programs in Weifang City and the requirements of the industry,along with key competencies valued by employers.Utilizing a quantitative descriptive research d...; 关键词：Industry-Based Congruence Undergraduate Education Weifang City China Key Competencies Curriculum Alignment

On a Discriminator for the Polynomial f(x)=x^(3)+x: 《Communications in Mathematics and Statistics》2024年第4期721-734,共14页Quan-Hui Yang Lilu Zhao; Let△(n)denote the smallest positive integer m such that a^(3)+a(1≤a≤n)are pairwise distinct modulo m.The purpose of this paper is to determine△(n)for all positive integers n.; 关键词：CONGRUENCE Character sum Quadratic residue Kloosterman sum

Counting the Unit Solutions of Certain Quartic Diagonal Congruence Modulo n: 《Wuhan University Journal of Natural Sciences》2024年第5期391-396,共6页ZHAO Junyong HU Shuangnian YIN Qiuyu; Supported by the Natural Science Foundation of Henan Province(232300420123);the National Natural Science Foundation of China(12026224)。; Given a positive integer n and the residue class ring Z_(n)=Z/nZ,we set Z_(n)^(x)to be the group of units in Z_(n),i.e.,Z_(n)^(x)={x∈Z_(n):ged(x,n)=1}.Let N_(m)(n)be the number of solutions of x_(1)^(4)+…+x_(m)^(4)...; 关键词：quartic diagonal congruence character sums units solutions

Digital Influencer's choice of product endorsement:A perspective of congruence: 《Journal of Management Science and Engineering》2023年第3期305-324,共20页Nan Feng Wenfan Zhao Haiyang Feng Minqiang Li Liang Xian; supported by the National Natural Science Foundation of China(Nos.71971153,72231004,72022012,and 71871155);the Shandong Industrial Internet Innovation and Entrepreneurship Community.; To infer product fitness information,consumers often consult digital influencers who exert effort to learn and evaluate product features and then propagate information to their followers.However,influencers'recommenda...; 关键词：Social media Influencer marketing Product congruence Endorsement choice

The Deformation Analysis of the 3D Alignment Control Network Based on the Multiple Congruence Models: 《Journal of Geodesy and Geoinformation Science》2023年第2期21-31,共11页Xudong ZHANG Wenjun CHEN Xiaodong ZHANG Yajun ZHENG Bin ZHANG Shaoming WANG Jiandong YUAN Guozhen SUN; In the construction and maintenance of particle accelerators,all the accelerator elements should be installed in the same coordinate system,only in this way could the devices in the actual world be consistent with the...; 关键词：similarity transformation 3D alignment control network deformation analysis hypothesis testing iterative global congruence test iterative combinatorial theory

On a generalized homogeneous Hahn polynomial: 《Science China Mathematics》2023年第5期957-976,共20页Bing He; supported by National Natural Science Foundation of China(Grant No.11801451);the Natural Science Foundation of Hunan Province(Grant No.2020JJ5682).; We investigate a generalized homogeneous Hahn polynomial in some detail. This polynomial includes as special cases the homogeneous Hahn polynomial and the homogeneous Rogers-Szeg o polynomial.A generating function, wh...; 关键词：generalized homogeneous Hahn polynomial generating function asymptotic expansion ZEROS zeros of entire functions q-congruence

Congruence Study between the Continuous Chemical Reactor (CSTR) and the Maturation Oxidation Ponds within Wastewater Treatment: 《Journal of Geoscience and Environment Protection》2022年第11期93-111,共19页Sara M. Younes Mohammed Kaid; People who are involved in managing wastewater treatment face the challenge of achieving conservation goals with limited funds, and also of balancing needs for nature conservation. This context has been motivated with...; 关键词：Oxidation Ponds Thirumurthi Equation BOD5 Heavy Metals MICROORGANISMS

Phylogenetic definitions for 25 higher-level clade names of birds: 《Avian Research》2022年第2期109-126,共18页George Sangster Edward L.Braun Ulf S.Johansson Rebecca T.Kimball Gerald Mayr Alexander Suh; Knowledge of the higher-level phylogenetic relationships of birds has grown substantially during the past two decades due to the application of genomic data.However,the nomenclature of higher-level taxa has not become...; 关键词：AVES CONGRUENCE PhyloCode Phylogenetic nomenclature PHYLOGENOMICS Rankless taxonomy

CONGRUENCE