ASYMPTOTIC

作品数:783被引量:789H指数:11
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相关领域:理学更多>>
相关作者:杨军关新平杨正清刘文远卢斌更多>>
相关机构:哈尔滨工业大学燕山大学华南师范大学华东师范大学更多>>
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REMARKS ON ASYMPTOTIC EXPANSIONS OF COMPOSITIONS WITH THE ELEMENTARY FUNCTIONS
《数学杂志》2025年第2期131-139,共9页LUO Xiao-Yu SHI Yong-Guo JIANG Zhi-Jie 
Supported by The Innovation Fund of Postgraduate,Sichuan University of Science&Engineering(Y2024336);NSF of Sichuan Province(2023NSFSC0065).
In this paper,we study asymptotic power series of the composition f(x)=h(g(x)),where g(x)=∑_(n=0)^(∞)b_(n)x^(-n),b_(n)∈R,and h is a given elementary function.The asymptotic expansions have been obtained for the com...
关键词:asymptotic expansion asymptotic power series trigonometric function composite function 
A Dive Into the Asymptotic Analysis Theory:a Short Review from Fluids to Financial Markets
《Acta Mathematicae Applicatae Sinica》2025年第1期152-161,共10页Gabriele SBAIZ 
The asymptotic analysis theory is a powerful mathematical tool employed in the study of complex systems.By exploring the behavior of mathematical models in the limit as certain parameters tend toward infinity or zero,...
关键词:asymptotic analysis fuid mechanics collective dynamics financial market models 
Piecewise pseudo almost automorphic solution for impulsive Lasota-Wazewska model with mixed delays
《Applied Mathematics(A Journal of Chinese Universities)》2025年第1期102-121,共20页Meryem Abdelaziz Farouk Cherif 
In this paper,the existence,uniqueness,asymptotic and global exponential stability of pseudo almost automorphic solution for a class of delayed Lasota-Wazewska model with impulsive effects are established by applying ...
关键词:Lasota-Wazewska model existence and uniqueness pseudo almost automorphic asymptotic and exponential stability 
Efficient Estimation of Single-index Models with Deep ReQU Neural Networks
《Acta Mathematica Sinica,English Series》2025年第2期640-676,共37页Zhihuang Yang Siming Zheng Niansheng Tang 
Supported by the National Natural Science Foundation of China (Grant No. 12271472)。
Single-index model offers the greater flexibility of modelling than generalized linear models and also retains the interpretability of the model to some extent. Although many standard approaches such as kernels or pen...
关键词:Asymptotical normality deep neural networks non-asymptotic estimation error bound semiparametric efficiency single-index models 
Asymptotic Probability of Record Numbers in Random Walks
《应用概率统计》2025年第1期17-27,共11页PENG Wenjie LI Yuqiang 
supported by the National Natural Science Foundation of China(Grant No.11671145);the Science and Technology Commission of Shanghai Municipality(Grant No.18dz2271000).
In this paper,large deviations principle(LDP)and moderate deviations principle(MDP)of record numbers in random walks are studied under certain conditions.The results show that the rate functions of LDP and MDP are dif...
关键词:random walk record number large deviation moderate deviation 
The N-periodic wave solutions to the N=1 supersymmetric Sawada–Kotera–Ramani equation
《Chinese Physics B》2025年第2期207-213,共7页Pengcheng Xin Zhonglong Zhao Yu Wang 
Project supported by the National Natural Science Foundation of China (Grant Nos. 12101572 and 12371256);2024 Shanxi Province Graduate Innovation Project (Grant No. 2024KY615);the Fundamental Research Program of Shanxi Province of China (Grant No. 202403021211002)。
The N-periodic wave solvability problem for the N=1 supersymmetric Sawada–Kotera–Ramani equation is considered by combining the Hirota's bilinear method and the super Riemann theta function. The constraint equations...
关键词:SUPERSYMMETRY N-periodic wave solutions asymptotic relations 
Critical Perturbation Results for a Mixed Boundary Value Problem
《Chinese Annals of Mathematics,Series B》2025年第1期25-50,共26页Azeb ALGHANEMI Hichem CHTIOUI Moctar MOHAMEDEN 
Abstract Let K be a given positive function on a bounded domain Ω of R^(n),n≥3.The authors consider a nonlinear variational problem of the form:-Δu=K|u|^(4/n-2)u in Ω with mixed Dirichlet-Neumann boundary conditio...
关键词:Critical elliptic equations Variational methods Asymptotic analyzes Critical points at infinity 
Asymptotic false discovery control of the Benjamini-Hochberg procedure for pairwise comparisons
《Science China Mathematics》2025年第1期223-252,共30页Weidong Liu Dennis Leung Qi-Man Shao 
Weidong Liu was supported by National Natural Science Foundation of China(Grant No.11825104);Qi-Man Shao was supported by National Natural Science Foundation of China(Grant No.12031005);Shenzhen Outstanding Talents Training Fund of China.
In a one-way analysis-of-variance(ANOVA) model,the number of pairwise comparisons can become large even with a moderate number of groups.Motivated by this,we consider a regime with a growing number of groups and prove...
关键词:BH procedure directional error FDR one-way ANOVA pairwise comparison Studentized twosample t-statistic Cramer-type moderate deviation uniform law of large numbers 
Solitons in the Fifth-Order Kd V Equation with a Perturbation
《Chinese Physics Letters》2025年第1期10-14,共5页Wentao Li Yipu Chen Zhao Zhang Xiangyu Yang Biao Li 
supported by the National Natural Science Foundation of China under Grant Nos.12175111,12275144,and 12235007;the K.C.Wong Magna Fund at Ningbo University;the Scientific Research Innovation Project of Lingnan Normal University(Grant No.LT2401)。
The fifth-order Kd V equation with a perturbation term is naturally consistent with the shallow-water wave model.In this study,the leading-order asymptotic solution of the perturbed fifth-order Kd V equation was deriv...
关键词:dynamics method ASYMPTOTIC 
Area Skewness for Random Samples Drawn from an Unknown or Specified Distribution
《Open Journal of Statistics》2025年第1期93-128,共36页José Moral de la Rubia 
Singh, Gewali, and Khatiwada proposed a skewness measure for probability distributions called Area Skewness (AS), which has desirable properties but has not been widely applied in practice. One reason for this may be ...
关键词:SKEWNESS Quantitative Variable Bootstrap Confidence Interval Asymptotic Confidence Interval Bootstrap-vs-Asymptotic Error Comparison R Program 
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