Acta Mathematicae Applicatae Sinica, English Series最新文献_第9页

Double Moving Extremes Ranked Set Sampling Design 双移动极值排序集合抽样设计

IF 0.9 4区数学

Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-01-03 DOI: 10.1007/s10255-024-1104-9

Meng Chen, Wang-xue Chen, Rui Yang

引用次数: 0

Nonlinear Extrapolation Estimates of π π的非线性外推法估计值

IF 0.9 4区数学

Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-01-03 DOI: 10.1007/s10255-024-1115-6

Wen-qing Xu, Sha-sha Wang, Da-chuan Xu

{"title":"Nonlinear Extrapolation Estimates of π","authors":"Wen-qing Xu, Sha-sha Wang, Da-chuan Xu","doi":"10.1007/s10255-024-1115-6","DOIUrl":"10.1007/s10255-024-1115-6","url":null,"abstract":"<div>The classical Archimedean approximation of π uses the semiperimeter or area of regular polygons inscribed in or circumscribed about a unit circle in ℝ2 and it is well-known that by using linear combinations of these basic estimates, modern extrapolation techniques can greatly speed up the approximation process. Similarly, when n vertices are randomly selected on the circle, the semiperimeter and area of the corresponding random inscribed and circumscribing polygons are known to converge to π almost surely as n → ∞, and by further applying extrapolation processes, faster convergence rates can also be achieved through similar linear combinations of the semiperimeter and area of these random polygons. In this paper, we further develop nonlinear extrapolation methods for approximating π through certain nonlinear functions of the semiperimeter and area of such polygons. We focus on two types of extrapolation estimates of the forms ({{cal X}_n} = {cal S}_n^alpha {cal A}_n^beta ) and ({{cal Y}_n}(p) = {(alpha {cal S}_n^p + beta {cal A}_n^p)^{1/p}}) where α + β = 1, p ≠ 0, and ({{cal S}_n}) and ({{cal A}_n}) respectively represents the semiperimeter and area of a random n-gon inscribed in the unit circle in ℝ2, and ({{cal X}_n}) may be viewed as the limit of ({{cal Y}_n}(p)) when p → 0. By deriving probabilistic asymptotic expansions with carefully controlled error estimates for ({{cal X}_n}) and ({{cal Y}_n}(p)), we show that the choice α = 4/3, β= −1/3 minimizes the approximation error in both cases, and their distributions are also asymptotically normal.</div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"40 1","pages":"91 - 108"},"PeriodicalIF":0.9,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139092099","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Acyclic Edge Coloring of 1-planar Graphs without 4-cycles 无 4 循环的 1 平面图的无循环边着色

IF 0.9 4区数学

Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-01-03 DOI: 10.1007/s10255-024-1101-z

Wei-fan Wang, Yi-qiao Wang, Wan-shun Yang

引用次数: 0

Clustering for Bivariate Functional Data 二元函数数据聚类

IF 0.9 4区数学

Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-01-03 DOI: 10.1007/s10255-024-1116-5

Shi-yun Cao, Yan-qiu Zhou, Yan-ling Wan, Tao Zhang

引用次数: 0

The Perturbed Compound Poisson Risk Model with Proportional Investment 带投资比例的扰动复合泊松风险模型

IF 0.9 4区数学

Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-01-03 DOI: 10.1007/s10255-024-1102-y

Nai-dan Deng, Chun-wei Wang, Jia-en Xu

引用次数: 0

Neighbor Sum Distinguishing Total Choosability of Planar Graphs with Maximum Degree at Least 10 最大阶数至少为 10 的平面图的邻域和区分总可选择性

IF 0.9 4区数学

Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-01-03 DOI: 10.1007/s10255-024-1110-y

Dong-han Zhang, You Lu, Sheng-gui Zhang, Li Zhang

引用次数: 0

Geometric Constraints for Global Regularity of 3D Shear Thickening Fluids 三维剪切增稠流体全局规则性的几何约束

IF 0.9 4区数学

Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-01-03 DOI: 10.1007/s10255-024-1114-7

Jia-qi Yang

引用次数: 0

On the Difference Between the Skew-rank of an Oriented Graph and the Rank of Its Underlying Graph 论定向图的倾斜秩与其底层图的秩之间的差异

IF 0.9 4区数学

Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-01-03 DOI: 10.1007/s10255-024-1103-x

Jia-min Zhu, Bo-jun Yuan, Yi Wang

{"title":"On the Difference Between the Skew-rank of an Oriented Graph and the Rank of Its Underlying Graph","authors":"Jia-min Zhu, Bo-jun Yuan, Yi Wang","doi":"10.1007/s10255-024-1103-x","DOIUrl":"10.1007/s10255-024-1103-x","url":null,"abstract":"<div>Let G be a simple graph and Gσ be the oriented graph with G as its underlying graph and orientation σ. The rank of the adjacency matrix of G is called the rank of G and is denoted by r(G). The rank of the skew-adjacency matrix of Gσ is called the skew-rank of Gσ and is denoted by sr(Gσ). Let V(G) be the vertex set and E(G) be the edge set of G. The cyclomatic number of G, denoted by c(G), is equal to ∣E(G)∣ − ∣V(G)∣+ ω(G), where ω(G) is the number of the components of G. It is proved for any oriented graph Gσ that −2c(G) ⩽ sr(Gσ) − r(G) ⩽ 2c(G). In this paper, we prove that there is no oriented graph Gσ with sr(Gσ) − r(G) = 2c(G)−1, and in addition, there are in nitely many oriented graphs Gσ with connected underlying graphs such that c(G) = k and sr(Gσ)−r(G) = 2c(G)−ℓ for every integers k, ℓ satisfying 0 ⩽ ℓ ⩽ 4k and ℓ≠ 1.</div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"40 1","pages":"129 - 136"},"PeriodicalIF":0.9,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139092094","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Pseudomonotonicity of Nonlinear Transformations on Euclidean Jordan Algebras 欧几里得约旦代数上非线性变换的假单调性

IF 0.9 4区数学

Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-01-03 DOI: 10.1007/s10255-024-1108-5

Yuan-Min Li

引用次数: 0

Global Zero-relaxation Limit Problem of the Electro-diffusion Model Arising in Electro-Hydrodynamics 电流体力学中出现的电扩散模型的全局零松弛极限问题

IF 0.9 4区数学

Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-01-03 DOI: 10.1007/s10255-024-1119-2

Ming-hua Yang, Si-ming Huang, Jin-yi Sun

{"title":"Global Zero-relaxation Limit Problem of the Electro-diffusion Model Arising in Electro-Hydrodynamics","authors":"Ming-hua Yang, Si-ming Huang, Jin-yi Sun","doi":"10.1007/s10255-024-1119-2","DOIUrl":"10.1007/s10255-024-1119-2","url":null,"abstract":"<div>In this paper, we study a global zero-relaxation limit problem of the electro-diffusion model arising in electro-hydrodynamics which is the coupled Planck-Nernst-Poisson and Navier-Stokes equations. That is, the paper deals with a singular limit problem of <div><div>$$left{ begin{gathered}\u0000begin{array}{*{20}{c}}\u0000{u_t^varepsilon+ {u^varepsilon } cdot nabla {u^varepsilon } - Delta {u^varepsilon } + nabla {P^varepsilon } = Delta {phi ^varepsilon }nabla {phi ^varepsilon },}&{in{text{ }}{mathbb{R}^3} times (0,infty )} \u0000{nablacdot {u^varepsilon } = 0,}&{in{text{ }}{mathbb{R}^3} times (0,infty )} \u0000end{array} hfill begin{array}{*{20}{c}}\u0000{n_t^varepsilon+ {u^varepsilon } cdot nabla {n^varepsilon } - Delta {n^varepsilon } =- nablacdot ({n^varepsilon }nabla {phi ^varepsilon }),}&{in{text{ }}{mathbb{R}^3} times (0,infty )} \u0000{c_t^varepsilon+ {u^varepsilon } cdot nabla {c^varepsilon } - Delta {c^varepsilon } = nablacdot ({c^varepsilon }nabla {phi ^varepsilon }),}&{in{text{ }}{mathbb{R}^3} times (0,infty )} \u0000end{array} hfill begin{array}{*{20}{c}}\u0000{{varepsilon ^{ - 1}}phi _t^varepsilon= Delta {phi ^varepsilon } - {n^varepsilon } + {c^varepsilon },}&{in{text{ }}{mathbb{R}^3} times (0,infty )} \u0000{({u^varepsilon },{n^varepsilon },{c^varepsilon },{phi ^varepsilon })left| {_{t = 0 = ({u_0},{n_0},{c_0},{phi _0})},} right.}&{in{text{ }}{mathbb{R}^3}} \u0000end{array} hfill \u0000end{gathered}right.$$</div></div> involving with a positive, large parameter ϵ. The present work show a case that (uϵ, nϵ, cϵ) stabilizes to (u∞, n∞, c∞):= (u, n, c) uniformly with respect to the time variable as ϵ → + ∞ with respect to the strong topology in a certain Fourier-Herz space.</div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"40 1","pages":"241 - 268"},"PeriodicalIF":0.9,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139092412","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0