SUMS

作品数:166被引量:230H指数:8
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相关机构:沈阳化工学院中国人民解放军海军工程学院浙江工商大学上海工程技术大学更多>>
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Three-parameter approximations of sums of locally dependent random variables via Stein's method
《Science China Mathematics》2025年第3期677-706,共30页Zhonggen Su Xiaolin Wang 
supported by National Natural Science Foundation of China(Grant Nos.12271475 and U23A2064)。
Let{Xi,i∈J}be a family of locally dependent non-negative integer-valued random variables with finite expectations and variances.We consider the sum W=∑_(i∈J)X_(i)and apply Stein's method to establish general upper ...
关键词:Eros-Rényi random graph local dependence monochromatic edge Stein's method three-parameter distribution 
Consequences of Invariant Functions for the Riemann Hypothesis
《Advances in Pure Mathematics》2025年第1期36-72,共37页Michael Mark Anthony 
This paper attempts to form a bridge between a sum of the divisors function and the gamma function, proposing a novel approach that could have significant implications for classical problems in number theory, specific...
关键词:LambertW Function Principal Branch Riemann Hypothesis ITERATIONS Robin Inequality Robin Integers INVARIANCE Gauss Gamma Function Li-Function Prime Counting Function Sums of Divisors INVARIANCE PRIMES Twin Primes 
MATRICES OVER A REDUCED RING AS SUMS OF THREE TRIPOTENTS
《数学杂志》2024年第5期406-412,共7页HUANG Tao CUI Jian ZENG Yue-di 
Supported by Key Laboratory of Financial Mathematics of Fujian Province University(Putian University)(JR202203);the NSF of Anhui Province(2008085MA06).
In this paper,we study reduced rings in which every element is a sum of three tripotents that commute,and determine the integral domains over which every n£n matrix is a sum of three tripotents.It is proved that for ...
关键词:Tripotent companion matrix reduced ring matrix ring 
On Some Sums Involving Small Arithmetic Functions
《Acta Mathematica Sinica,English Series》2024年第10期2497-2518,共22页Wen Guang ZHAI 
Supported by the National Natural Science Foundation of China(Grant No.11971476)。
Let f be any arithmetic function and define S_(f)(x):=Σ_(n≤x)f([x/n]).If the function f is small,namely,f(n)﹤﹤n^(ε),then the error term E_(f)(x)in the asymptotic formula of S_f(x)has the form O(x^(1/2+ε)).In thi...
关键词:Small arithmetic function exponential sum asymptotic formula 
Some Mean Convergence Theorems for the Maximum of Normed Double Sums of Banach Space Valued Random Elements
《Acta Mathematica Sinica,English Series》2024年第7期1727-1740,共14页Andrew ROSALSKY Le Van THANH Nguyen Thi THUY 
In this correspondence,we establish mean convergence theorems for the maximum of normed double sums of Banach space valued random elements.Most of the results pertain to random elements which are M-dependent.We expand...
关键词:Double sum mean convergence Rademacher type p Banach space Banach space valued random element M-dependent random elements 
SUMS OF DUAL TOEPLITZ PRODUCTS ON THE ORTHOGONAL COMPLEMENTS OF FOCK-SOBOLEV SPACES
《Acta Mathematica Scientia》2024年第3期810-822,共13页陈泳 Young Joo Lee 
supported by the NSFC(12271134,11771401);supported by the Basic Science Research Program through the National Research Foundation of Korea(NRF)funded by the Ministry of Education(NRF-2019R1I1A3A01041943)。
We consider dual Toeplitz operators on the orthogonal complements of the FockSobolev spaces of all nonnegative real orders.First,for symbols in a certain class containing all bounded functions,we study the problem of ...
关键词:dual Toeplitz operators Fock-Sobolev spaces symbol map 
基于k-sums分段聚类的动态组合学习光伏短期功率预测
《电子科技》2024年第4期69-76,共8页吴家葆 曾国辉 张振华 
国家自然科学基金(61701296)。
目前单一模型预测精度存在难以随着功率波动保持最优的问题,为提高并网系统运行的稳定性和电网的节能调度,文中提出了一种基于k-sums分层聚类的动态学习组合光伏短期功率预测方法。利用k-sums算法经过分段聚类,将天气类型分为晴天A 1、...
关键词:k-sums 分层聚类 TCN 改进GRU SVM 动态组合学习 Elastic Net 光伏短期功率预测 
Optimal Asymmetric Quantum Codes from the Euclidean Sums of Linear Codes
《Wuhan University Journal of Natural Sciences》2024年第1期45-50,共6页XU Peng LIU Xiusheng 
Supported by the Scientific Research Foundation of Hubei Provincial Education Department of China(Q20174503);the National Science Foundation of Hubei Polytechnic University of China(12xjz14A and 17xjz03A)。
In this paper,we first give the definition of the Euclidean sums of linear codes,and prove that the Euclidean sums of linear codes are Euclidean dual-containing.Then we construct two new classes of optimal asymmetric ...
关键词:Euclidean sums of linear codes optimal asymmetric quantum errorcorrecting codes vandermonde matrices Reed-Solomon codes 
Inequalities for Sums and Products of Complex Zeros of Solutions to ODE with Polynomial Right Parts
《Communications on Applied Mathematics and Computation》2023年第4期1524-1533,共10页Michael Gil’ 
The paper is devoted to non-homogeneous second-order differential equations with polynomial right parts and polynomial coefficients.We derive estimates for the partial sums and products of the zeros of solutions to th...
关键词:Ordinary differential equations Linear equations Zeros of solutions 
Shift, the Law of the Invention of Zero
《Advances in Pure Mathematics》2023年第5期237-249,共13页Emmanuel Cadier Anaxhaoza 
After posing the axiom of linear algebra, the author develops how this allows the calculation of arbitrary base powers, which provides an instantaneous calculation of powers in a particular base such as base ten;first...
关键词:AXIOM Axiom of Linear Algebra {ALA} Any Base Calculation ABC Theory Number’s Origin Number Theory Newton’s Binomial Formula Pascal’s Triangle Base Z Canonical Bases Calculator Revolution Infinite Sums of Inverse of Integer to the Successive Powers Information Completion Theory Cipher Factorizations That Are Numbers Infinite Numbers That Are Infinite Sums 
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