摘要：
Abstract: We consider the law of population reproduction in nature and introduce the male-female pairing mechanism, so as to generalize the branching process in a random environment (BPRE) to the bi-sexual branching process in a random environment (BBPRE). Set is a supercritical bi-sexual branching process in a independent and identically distributed (i.i.d.) random environment , and we will give a deviation inequalitie for under Bernstein condition.#@#@#摘要: 考虑到自然界中种群繁衍法则，引入雌雄配对机制，从而将随机环境中分枝过程推广到随机环境中两性分枝过程。令为独立同分布环境中的一个上临界两性分枝过程，本文给出在Bernstein条件下的一个偏差不等式。
期刊：
Functiones et Approximatio Commentarii Mathematici,2023年69(1):43-54 ISSN：0208-6573
作者机构：
[Zhang Y.; Li Y.] School of Mathematics and Statistics, Changsha University of Science and Technology, Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha, 410114, China
关键词：
area;Elliptic curve;inradius;perimeter;rational right triangle triple
摘要：
In this paper, the eigenvalue embedding problem of the damped vibroacoustic system with no-spillover (EEP-VA) is considered, which is to update the original system to a new damped vibroacoustic system such that some eigenvalues are replaced by newly given or measured ones, while the remaining eigenvalues and associated eigenvectors are kept unchanged. We provide a spectral decomposition of the damped vibroacoustic system and further give a set of parametric solutions to the EEP-VA. Moreover, our method can also be extended to the case of the undamped vibroacoustic system. Exploiting the freedoms of the parametric matrices in the solution, the modifications on the coefficient matrices can be minimized. Numerical experiments illustrate the performance of the proposed algorithms.
关键词：
渐进迭代逼近;Guass-Seidel迭代法;Succesive Over Relaxation迭代法;曲线逼近Progressive Iterative Approximation
摘要：
Abstract: Based on the Guass-Seidel progressive iterative approximation for least squares fitting( LSPLA) algorithm , a Succesive Over Relaxation LSPIA ( SOR-LSPIA ) algorithm is proposed in this paper. We analysis the convergence of this. Furthermore some numerical is tests experiments are shown, our aIgorithm has fewer number iteration steps and shorter cpu time than the GS-LSPIA algorithm does if the fitting accracies are requared the same.#@#@#摘要: 本文以Guass-Seidel progressive iterative approximation for least squares fitting( LSPLA)算法为基础，提出一种基于 Succesive Over Relaxation(SOR)迭代的 LSPIA算法,简称SOR- LSPIA。我们分析了SOR- LSPIA算法的收敛性，数值实验表明，当拟合精度相同时，SOR- LSPIA算法比GS- LSPIA算法送代步数更少、运行时间更短。
期刊：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B,2023年28(5):3160-3171 ISSN：1531-3492
通讯作者：
Kaixuan Zhu
作者机构：
[Sun, Tao; Zhu, Kaixuan] Hunan Univ Arts & Sci, Coll Math & Phys Sci, Changde 415000, Peoples R China.;[Zhu, Kaixuan] Wenzhou Univ, Dept Math, Wenzhou 325035, Peoples R China.;[Xie, Yongqin] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Peoples R China.
通讯机构：
[Kaixuan Zhu] C;College of Mathematics and Physics Science, Hunan University of Arts and Science, Changde, 415000, China<&wdkj&>Department of Mathematics, Wenzhou University, Wenzhou, 325035, China
关键词：
Strongly damped wave equations;strong solutions;time-dependent global attractors
摘要：
1. Introduction. In recent years, Conti, Pata and Temam[10] introduced the concep-tion of time-dependent global attractors. Based on this new theoretical framework, we are able to study the long-term behavior of solutions for the non-autonomous evolution equations on time-dependent spaces. The non-autonomous nature of the systems is characterized by the spaces rather than the external forcing terms. For the long-term behavior of solutions on time-dependent spaces, especially for the weak solutions, there are some literatures, see, e.g., [10, 7, 6, 17, 18, 22, 19, 16, 24, 27, 23, 26, 31, 52, 37]. In [10, 7, 27, 23, 26], the authors applied the novel the-ory framework to the weakly damped wave equations and proved the existence and structure of attractors. The authors of [17, 24, 37, 52] considered the nonclassical diffusion equations and established the existence of attractors with the assumptions that the nonlinearity satisfies sub-critical growth, critical nonlinear growth and the arbitrary polynomial growth respectively. The authors of [18, 22, 19] mainly con-sidered the long-term behaviour of solutions for the plate equations, the fractional damping wave equations and the Kirchhoff type plate equations with memory and nonlinear damping. The authors of [6, 16, 31] considered the case of time-dependent memory kernels and obtained the existence and even the regularity of attractors in the corresponding phase spaces.
摘要：
In this paper, a new class of Cucker-Smale systems with distributed delays are developed from the measurement perspective. By combining dissipative differential inequalities with a continuity argument, some new sufficient criteria for the flocking dynamics of the proposed model with gen-eral communication rate, especially the non-normalized rate, are established. In order to achieve the prescribed pattern motion, the driving force term is incorporated into the delayed collective system. Lastly, some examples and simulations are provided to illustrate the validity of the theoretical results.
期刊：
Journal of Materials Research and Technology,2023年24:675-688 ISSN：2238-7854
通讯作者：
Shiyi Wen<&wdkj&>Yong Du
作者机构：
[Liu, Huixin; Chen, Zhiguo] Hunan Univ Humanities Sci & Technol, Sch Energy & Mech Engn, Loudi 417000, Hunan, Peoples R China.;[Min, Qianhui; Liu, Yuling; Liu, Huixin; Du, Yong] Cent South Univ, State Key Lab Powder Met, Changsha 410083, Hunan, Peoples R China.;[Wen, Shiyi] Cent South Univ, Sch Met & Environm, Changsha 410083, Hunan, Peoples R China.;[Du, Changfa] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Peoples R China.
通讯机构：
[Shiyi Wen; Yong Du] S;School of Metallurgy and Environment, Central South University, Changsha, Hunan 410083, China<&wdkj&>State Key Laboratory of Powder Metallurgy, Central South University, Changsha, Hunan, 410083, China
摘要：
The accurate diffusivity and kinetic database of fcc quinary Cu-Co-Mn-Ni-Si system is essential for designing high-performance Cu alloys, which is still not investigated yet. In the present work, on the basis of the critically reviewed experimental diffusivities available in the literature, the atomic mobilities of fcc Mn-Ni and Cu-Mn-Ni alloys were re-assessed through CALTPP (CALculation of ThermoPhysical Properties) program, aiming to establish a self -consistent kinetic database for fcc Cu-Co-Mn-Ni-Si system. Comparing the model-calculated diffusion coefficients, composition profiles and diffusion paths with the measured ones for fcc Mn-Ni and fcc Cu-Mn-Ni alloys, it is found that the experimental data are reasonably repro-duced by the re-assessed atomic mobilities, indicating their good reliability. Therefore, inte-grating the presently obtained atomic mobilities for the fcc Mn-Ni and fcc Cu-Mn-Ni systems with those for other sub-systems, a complete kinetic database for fcc Cu-Co-Mn-Ni-Si system was established for the first time. The reliability of the constructed kinetic database was confirmed by the reasonable agreements between the model-predicted composition profiles of sub-quaternary and quinary diffusion couples and the measured ones. Furthermore, this ob-tained kinetic database was applied to simulate the microstructure evolution of second-phase precipitates in Cu-Mn-Ni, Cu-Ni-Si and Cu-Ni-Co-Si alloys during the aging process, and the simulated results demonstrate good agreements with the experimental ones. The present work indicates the reliability and significance of the presently obtained kinetic database of fcc quinary Cu-Co-Mn-Ni-Si system for predicting the microstructure evolution during the heat treatment process, which can greatly contribute to the design of Cu alloys with high performance.(c) 2023 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
摘要：
For a recollement
$$(\mathcal {A},\mathcal {B},\mathcal {C})$$
of abelian categories, we show that n-tilting (resp. n-cotilting) subcategories in
$$\mathcal {A}$$
and
$$\mathcal {C}$$
can be glued to get n-tilting (resp. n-cotilting) subcategories in
$$\mathcal {B}$$
under certain conditions.
关键词：
体重指数;内脏脂肪含量;相关分析;主成分回归;logistic回归;Lasso回归Body Mass Index
摘要：
Abstract: Body mass index (BMI) is currently a commonly used global measure of body weight and health situation. This article used correlation analysis, principal component regression, logistic regression, and Lasso regression to study the relationship between height, weight, waist-to-hip ratio, visceral adipose tissue (VAT), obesity, etc., totaling 12 indicators based on the physical examination data collected from 199 adults in China, under the Chinese standard BMI as the evaluation basis for obe-sity level. Based on principal component regression, the factors that have a significant impact (ρ = 0.05) on visceral adipose tissue include BMI, waist-hip ratio, abdominal sagittal diameter, and the ratio of sagittal diameter to right and left diameter. There is a significant positive correlation (γ = 0.785) between body mass index and visceral adipose tissue. Based on logistic regression with di-chotomous variables, the principal factors influencing body mass index were waist-hip ratio, ab-dominal right to left diameter, and visceral adipose tissue. The fluctuation of body mass index indi-cates that there may be changes in visceral adipose tissue, which may cause health risk and require timely evaluation and intervention; the increase or decrease in visceral adipose tissue may also lead to changes in BMI, and analysis shows that visceral adipose tissue is a better indicator to judge the obesity of a person.#@#@#摘要: 体重指数(BMI)是目前全球常用的衡量身体胖瘦与健康的指标。本文收集了国内199名成年人的体检数据，运用相关分析、主成分回归、logistic回归和Lasso回归研究了身高、体重、腰臀比等12项指标与内脏脂肪含量(VAT)以及肥胖之间的关系，并使用中国标准的BMI作为肥胖程度的评价依据。基于主成分回归，对内脏脂肪含量有显著影响(ρ = 0.05)的因素有BMI、腰臀比、腹部矢状径以及矢状径与左右径之比。体重指数与内脏脂肪含量之间存在显著的正相关性(γ = 0.785)，基于二分变量的logistic回归分析得到，对BMI有显著影响的因素有腰臀比、腹部左右径和内脏脂肪含量。体重指数的波动表明内脏脂肪含量可能产生变化，有可能影响身体健康，需要及时评估和干预；内脏脂肪含量的增减也可能导致BMI变动，分析表明内脏脂肪含量是判断一个人是否肥胖的更优指标。
摘要：
We introduce the higher version of Adachi-Iyama-Reiten's support r-tilting pairs, which are regarded as a generalization of maximal rn-rigid pairs in the sense of Jacobsen-Jorgensen. Assume that C is an (n + 2)-angulated category with an n-suspension functor Sigma n and T is an Opperman-Thomas cluster tilting object. We prove that relative n-rigid objects in C are in bijection with rn-rigid pairs in the n-abelian category C/add Sigma nT, and relative maximal n-rigid objects in C are in bijection with support rn-tilting pairs. We also prove that relative n-self-perpendicular objects are in bijection with maximal rn-rigid pairs. These results generalize work for C being 2n-Calabi-Yau by Jacobsen-Jorgensen and work for n = 1 by Yang-Zhu.(c) 2022 Elsevier Inc. All rights reserved.
通讯机构：
[Cao, J ] C;Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Hunan, Peoples R China.;Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Hunan, Peoples R China.
关键词：
complex network;topological characteristic;liquidity creation;Eurozone;centrality index
摘要：
Liquidity creation, as a core functions of banks, affects the stability of the financial system and economic development significantly. However, the existing literature has largely ignored the impact of complex interbank linkages on liquidity creation. This may distort the understanding of liquidity creation away from its essence to some extent in the context of an increasingly interconnected financial system. Using a sample of 1406 banks from 29 European countries during 2010-2021, we use a complex network to model the interbank market and study its impact on liquidity creation. Our results indicate that dominant borrowers in the network create less liquidity as a result of their more prudent liquidity management. Higher bank capital weakens this negative relationship due to its risk-absorbing capacity. Conversely, dominant lenders in the network create more liquidity because of their more optimistic expectations and more lax liquidity management. Higher non-interest income weakens this positive relationship because of the higher risk of non-traditional business, which requires banks to hold more precautionary liquidity. Moreover, we test for endogeneity and use the full sample to verify the robustness of our results.
