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UNIFORMLY COPIES OF lPN IN THE SPACES OF POLYNOMIALS 认领 引用
1
作者 Dumitru POPA 《Acta Mathematica Scientia》 SCIE CSCD 2026年第1期112-118,共7页
Let n≥2 be a natural number,1≤p≤∞and X a Banach space.We prove that if X*containsλ-uniformly copies of lkp,then:P(nX) contains cKλn-uniformly copies of■.in the case p*>n(ii)P(nX) contain... Let n≥2 be a natural number,1≤p≤∞and X a Banach space.We prove that if X*containsλ-uniformly copies of lkp,then:P(nX) contains cKλn-uniformly copies of■.in the case p*>n(ii)P(nX) containsλn-uniformly copies of lk∞in the case p*≤n.This complete a result of S.Dineen’s from 1995. 展开更多
关键词 polynomials on Banach spaces uniformly copies of lnp finitely represented
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Ultrafast synthesis of uniformly dispersed metal nanoparticles by carbon thermal shock 认领 引用
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作者 Yan-Feng Wang Ji-Jun Lu +5 位作者 Liao Shen Feng-Shuo Xi Kui-Xian Wei Wen-Hui Ma Rong Deng Shao-Yuan Li 《Rare Metals》 SCIE EI CAS CSCD 2025年第7期5096-5105,共10页
Ultrafine metal nanoparticles are crucial for various applications,such as energy storage,catalysis,electronics,and biomedicine,owing to their high surfaceto-volume ratio and unique electronic properties.However,conve... Ultrafine metal nanoparticles are crucial for various applications,such as energy storage,catalysis,electronics,and biomedicine,owing to their high surfaceto-volume ratio and unique electronic properties.However,conventional nanoparticle synthesis methods often face challenges like irregular shapes and agglomeration,leading to compromised functionality.To address these challenges,this paper introduces a novel,rapid,high-temperature thermal radiation heating for the ultrafast synthesis and dispersion of metal nanoparticles.Utilizing the heating properties of carbon materials,the direct Joule heating generated by them rises to 1800-2000 K within~200 ms,followed by cooling to room temperature at a rate of 2×103K s-1. 展开更多
关键词 ultrafast synthesis carbon thermal shock metal nanoparticles energy storagecatalysiselectronicsand ultrafine metal nanoparticles high temperature thermal radiation heating uniform dispersion joule heating
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UNIFORMLY STARLIKE MAPPINGS AND UNIFORMLY CONVEX MAPPINGS ON THE UNIT BALL B^n 认领 引用 被引量：4
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作者 冯淑霞 刘太顺 《Acta Mathematica Scientia》 SCIE CSCD 2014年第2期435-443,共9页
In this article, we extend the definition of uniformly starlike functions and uni- formly convex functions on the unit disk to the unit ball in C^n, give the discriminant criterions for them, and get some inequalities... In this article, we extend the definition of uniformly starlike functions and uni- formly convex functions on the unit disk to the unit ball in C^n, give the discriminant criterions for them, and get some inequalities for them. 展开更多
关键词 Uniformly starlike mappings uniformly convex mappings the unit ball
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Hermite Non-Uniformly Correlated Array Beams and Its Propagation Properties 认领 引用 被引量：3
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作者 Xue-Chun Zhao Lei Zhang +4 位作者 Rong Lin Shu-Qin Lin Xin-Lei Zhu Yang-Jian Cai Jia-Yi Yu 《Chinese Physics Letters》 SCIE EI CAS CSCD 2020年第12期41-47,共7页
We study the evolution of spectral intensity and degree of coherence of a new class of partially coherent beams,Hermite non-uniformly correlated array beams,in free space and in turbulence,based on the extended Huygen... We study the evolution of spectral intensity and degree of coherence of a new class of partially coherent beams,Hermite non-uniformly correlated array beams,in free space and in turbulence,based on the extended Huygens–Fresnel integral.Such beams possess controllable rectangular grid distributions due to multi-self-focusing propagation property.Furthermore,it is demonstrated that adjusting the initial beam parameters,mode order,shift parameters,array parameters and correlation width plays a role in resisting intensity and degree of coherence degradation effects of the turbulence. 展开更多
关键词 property. uniformly turbulence
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Green's functions for uniformly distributed loads acting on an inclined line in a poroelastic layered site 认领 引用 被引量：19
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作者 梁建文 尤红兵 《Earthquake Engineering and Engineering Vibration》 EI 2005年第2期233-241,共9页
Based on one type of practical Biot＇s equation and the dynamic-stiffness matrices ofa poroelastic soil layer and half-space, Green＇s functions were derived for unitformly distributed loads acting on an inclined line... Based on one type of practical Biot＇s equation and the dynamic-stiffness matrices ofa poroelastic soil layer and half-space, Green＇s functions were derived for unitformly distributed loads acting on an inclined line in a poroelastie layered site. This analysis overcomes significant problems in wave scattering due to local soil conditions and dynamic soil-structure interaction. The Green＇s functions can be reduced to the case of an elastic layered site developed by Wolf in 1985. Parametric studies are then carried out through two example problems. 展开更多
关键词 Green＇s function poroelastic layered site Biot＇s equation uniformly distributed load wave scattering
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Uniformly ultimate boundedness for discontinuous systems with time-delay 认领 引用 被引量：2
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作者 慕小武 丁志帅 程桂芳 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2011年第9期1187-1196,共10页
The uniformly ultimate boundedness of discontinuous systems with time-delay in the sense of Filippov solutions is discussed.Based on the Lyapunov-Krasovskii functional,the Lyapunov theorem for the globally strongly un... The uniformly ultimate boundedness of discontinuous systems with time-delay in the sense of Filippov solutions is discussed.Based on the Lyapunov-Krasovskii functional,the Lyapunov theorem for the globally strongly uniformly ultimate boundedness of retarded discontinuous systems is presented.Furthermore,the result is applied to a class of mechanical systems with a retarded discontinuous friction item. 展开更多
关键词 Filippov solution uniformly ultimate boundedness discontinuous system ratarded system
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NECESSARY AND SUFFICIENT CONDITION OF THE STRONG CONVERGENCE FOR TWO FINITE FAMILIES OF UNIFORMLY L-LIPSCHITZIAN MAPPINGS 认领 引用 被引量：5
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作者 谷峰 《Acta Mathematica Scientia》 SCIE CSCD 2011年第5期2058-2066,共9页
The purpose of this paper is to study necessary and su？cient condition for the strong convergence of a new parallel iterative algorithm with errors for two finite families of uniformly L-Lipschitzian mappings in Bana... The purpose of this paper is to study necessary and su？cient condition for the strong convergence of a new parallel iterative algorithm with errors for two finite families of uniformly L-Lipschitzian mappings in Banach spaces. The results presented in this paper improve and extend the recent ones announced by [2–7]. 展开更多
关键词 asymptotically pseudo-contractive mapping uniformly L-Lipschitzian map- ping parallel iterative algorithm
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Thermodynamic Properties of Spherically-Symmetric,Uniformly-Accelerated Reference Frames 认领 引用 被引量：1
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作者 HUANG Chao-Guang SUN Jia-Rui 《Communications in Theoretical Physics》 SCIE CAS 2008年第4期928-932,共5页
We aim to study the thermodynamic properties of the spherically symmetric reference frames with uniform acceleration,including the spherically symmetric generalization of Rindler reference frame and the new kind of un... We aim to study the thermodynamic properties of the spherically symmetric reference frames with uniform acceleration,including the spherically symmetric generalization of Rindler reference frame and the new kind of uniformly accelerated reference frame.We find that,unlike the general studies about the horizon thermodynamics,one cannot obtain the laws of thermodynamics for their horizons in the usual approaches,despite that one can formally define an area entropy(Bekenstein-Hawking entropy).In fact,the common horizon for a set of uniformly accelerated observers does not always exist,even though the Hawking-Unruh temperature is still well-defined.This result indicates that the Hawking-Unruh temperature is only a kinematic effect,and to gain the laws of thermodynamics for the horizon,one needs the help of dynamics.Our result is in accordance with those from the various studies about the acoustic black holes. 展开更多
关键词 uniformly accelerated reference frame Hawking-Unruh temperature entropy of horizon
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A Uniformly Robust Staggered DG Method for the Unsteady Darcy-Forchheimer-Brinkman Problem 认领 引用
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作者 Lina Zhao Ming Fai Lam Eric Chung 《Communications on Applied Mathematics and Computation》 2022年第1期205-226,共22页
In this paper,we propose and analyze a uniformly robust staggered DG method for the unsteady Darcy-Forchheimer-Brinkman problem.Our formulation is based on velocity gradient-velocity-pressure and the resulting scheme ... In this paper,we propose and analyze a uniformly robust staggered DG method for the unsteady Darcy-Forchheimer-Brinkman problem.Our formulation is based on velocity gradient-velocity-pressure and the resulting scheme can be flexibly applied to fairly general polygonal meshes.We relax the tangential continuity for velocity,which is the key ingredi-ent in achieving the uniform robustness.We present well-posedness and error analysis for both the semi-discrete scheme and the fully discrete scheme,and the theories indicate that the error estimates for velocity are independent of pressure.Several numerical experiments are presented to confirm the theoretical findings. 展开更多
关键词 Staggered DG method Brinkman-Forchheimer General meshes Uniformly stable
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PSEUDOHYPERBOLIC METRIC AND UNIFORMLY DISCRETE SEQUENCES IN THE REAL UNIT BALL 认领 引用
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作者 任广斌 Uwe KHLER 《Acta Mathematica Scientia》 SCIE CSCD 2014年第3期629-638,共10页
We present an overview of the properties of the pseudohyperbolic metric in several real dimensions and study uniformly discrete sequences for the real unit ball in R^n.
关键词 Uniformly discrete sequences harmonic functions Bergman spaces pseudohy-perbolic metric
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ISHIKAWA ITERATIVE PROCESS IN UNIFORMLY SMOOTH BANACH SPACES 认领 引用
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作者 HUANG Zhen-yu 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2001年第11期1306-1310,共5页
Let E be a uniformly smooth Banach space, K be a nonempty closed convex subset of E, and suppose: T: K --> K is a continuous Phi-strongly pseudocontractive operator with a bounded range. Using a new analytical meth... Let E be a uniformly smooth Banach space, K be a nonempty closed convex subset of E, and suppose: T: K --> K is a continuous Phi-strongly pseudocontractive operator with a bounded range. Using a new analytical method, under general cases, the Ishikawa iterative process {x(n)} converges strongly to the unique fixed point x* of the operator T were proved. The paper generalizes and extends a lot of recent corresponding results. 展开更多
关键词 Ishikawa iterative process Phi-stongly pseudocontractive operators uniformly smooth Banach spaces
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UNIFORMLY VALID ASYMPTOTIC SOLUTIONS OF THE NONLINEAR UNSYMMETRICAL BENDING FOR ORTHOTROPIC RECTANGULAR THIN PLATE OF FOUR CLAMPED EDGES WITH VARIABLE THICKNESS 认领 引用
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作者 黄家寅 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2004年第7期817-826,共10页
By using “the method of modified two-variable”,“the method of mixing perturbation” and introducing four small parameters,the problem of the nonlinear unsymmetrical bending for orthotropic rectangular thin plate wi... By using “the method of modified two-variable”,“the method of mixing perturbation” and introducing four small parameters,the problem of the nonlinear unsymmetrical bending for orthotropic rectangular thin plate with linear variable thickness is studied.And the uniformly valid asymptotic solution of Nth-order for ε_1 and Mth-order for ε_2 of the deflection functions and stress function are obtained. 展开更多
关键词 orthotropic rectangular thin plate with variable thickness four clampled edge nonlinear unsymmetrical bending method of modified two-variable method of mixing perturbation uniformly valid asymptotic solution
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A RANDOM FIXED POINT ITERATION FOR THREE RANDOM OPERATORS ON UNIFORMLY CONVEX BANACH SPACES 认领 引用
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作者 Binayak S.Choudhury 《Analysis in Theory and Applications》 2003年第2期99-107,共9页
In the present paper we introduce a random iteration scheme for three random operators defined on a closed and convex subset of a uniformly convex Banach space and prove its convergence to a common fixed point of thre... In the present paper we introduce a random iteration scheme for three random operators defined on a closed and convex subset of a uniformly convex Banach space and prove its convergence to a common fixed point of three random operators. The result is also an extension of a known theorem in the corresponding non-random case. 展开更多
关键词 random iteration fixed point uniformly convex Banach space
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THE UNIFORMLY CONVERGENT DIFFERENCE SCHEMES FOR A SINGULAR PERTURBATION PROBLEM OF A SELFADJOINT ORDINARY DIFFERENTIAL EQUATION 认领 引用
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作者 林鹏程 郭雯 《Applied Mathematics and Mechanics(English Edition)》 SCIE 1989年第1期35-44,共10页
In this paper, we construct a class of difference schemes with fitted factors for a singular perturbation problem of a self-adjoint ordinary differential equation. Using a different method from [1], by analyzing the t... In this paper, we construct a class of difference schemes with fitted factors for a singular perturbation problem of a self-adjoint ordinary differential equation. Using a different method from [1], by analyzing the truncation errors of schemes, we give the sufficient conditions under which the solution of lite difference scheme converges uniformly to the solution of the differential equation. From this we propose several specific schemes under weaker conditions, and give much higher order of uniform convergence, and applying them to example, obtain the numerical results. 展开更多
关键词 THE UNIFORMLY CONVERGENT DIFFERENCE SCHEMES FOR A SINGULAR PERTURBATION PROBLEM OF A SELFADJOINT ORDINARY DIFFERENTIAL EQUATION
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The Uniformly Valid Solution for a Top System of Two Free Dimensions with Parameter 认领 引用
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作者 欧阳成 《Chinese Quarterly Journal of Mathematics》 2009年第3期453-457,共5页
A general top system of two free dimensions with parameter is studied and the four cases satisfied by the frequency of the system are discussed.Using the multiple scale method,its uniformly valid asymptotic solution,w... A general top system of two free dimensions with parameter is studied and the four cases satisfied by the frequency of the system are discussed.Using the multiple scale method,its uniformly valid asymptotic solution,which is expressed by complex amplitudes,of the first order is obtained.And solvable conditions satisfied by the complex amplitudes are given,and then the relative result is generalized. 展开更多
关键词 uniformly valid asymptotic solution solvable condition multiple scale method
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Uniformly Most Powerful Invariant Test and Its Application 认领 引用
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作者 张双林 沙秋英 周文海 《Northeastern Mathematical Journal》 2001年第1期13-20,共8页
The authors consider the uniformly most powerful invariant test of the testing problems (Ⅰ) H 0: μ′Σ -1 μ≥CH 1: μ′Σ -1 μ<C and (Ⅱ) H 00 : β′X′Xβσ 2≥CH 11 : β′X′Xβσ 2<C under m dimension... The authors consider the uniformly most powerful invariant test of the testing problems (Ⅰ) H 0: μ′Σ -1 μ≥CH 1: μ′Σ -1 μ<C and (Ⅱ) H 00 : β′X′Xβσ 2≥CH 11 : β′X′Xβσ 2<C under m dimensional normal population N m(μ, Σ) and normal linear model (Y, Xβ, σ 2) respectively. Furthermore, an application of the uniformly most powerful invariant test is given. 展开更多
关键词 invariant test uniformly most powerful test improved estimator uniformly most accurate confidence bound
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ITERATIVE CONSTRUCTION OF FIXED POINTS FOR MULTIVALUED OPERATORS OF THE MONOTONE TYPE IN UNIFORMLY SMOOTH BANACH SPACES 认领 引用 被引量：1
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作者 邓磊 丁协平 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1994年第10期897-902,共6页
The fixed points of set-valued operators satisfying a condition of monotonicitytype in s-uniformly smooth Banach spaces are approximated by recursive averagingprocess in the present paper.
关键词 multivalued operator. monotonc type. uniformly smooth Banachspace
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UNIFORMLY HIGHER ORDER ACCURATE EXTRAPOLATIONS TO SOLUTIONS OF UNIFORMLY CONVERGENT DISCRETIZATION METHODS FOR SINGULARLY PERTURBED PROBLEMS 认领 引用
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作者 孙光甫 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1990年第3期271-276,共6页
We discuss the uniformly higher order accurate extrapolations, which are based on the uniform expansion for global error, to solutions of uniformly convergent discretization methods for singularly perturbed problems. ... We discuss the uniformly higher order accurate extrapolations, which are based on the uniform expansion for global error, to solutions of uniformly convergent discretization methods for singularly perturbed problems. By applying the approach to the in-Allen-Southwell scheme for a non-self-adjoint problem, we obtain an extrapolation solution which is uniformly convergent with order two. We confirm the result by numerical calculations. 展开更多
关键词 convergent uniformly applying perturbed Richardson satisfy adjoint singularly perturbation Uniform
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A UNIFORMLY CONVERGENT SECOND ORDER DIFFERENCE SCHEME FOR A SINGULARLY PERTURBED SELF-ADJOINT ORDINARY DIFFERENTIAL EQUATION IN CONSERVATION FORM 认领 引用
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作者 郭雯 林鹏程 《Applied Mathematics and Mechanics(English Edition)》 SCIE 1989年第3期231-241,共11页
In this paper, based on the idea of El-Mistikawy and Werle[1] we construct a difference scheme for a singularly perturbed self-adjoint ordinary differential equation in conservation form. We prove that it is a uniform... In this paper, based on the idea of El-Mistikawy and Werle[1] we construct a difference scheme for a singularly perturbed self-adjoint ordinary differential equation in conservation form. We prove that it is a uniformly convergent second order scheme. 展开更多
关键词 exp A UNIFORMLY CONVERGENT SECOND ORDER DIFFERENCE SCHEME FOR A SINGULARLY PERTURBED SELF-ADJOINT ORDINARY DIFFERENTIAL EQUATION IN CONSERVATION FORM
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Uncertainty Analysis of the Residual Strength of Non-Uniformly Loaded Casingsin Deep Wells 认领 引用
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作者 Jingpeng Wang Wei Zhang +8 位作者 Zhiwei Lin Lin Song Shiyuan Xie Qi Liu Wei Wang Tao Yang Kai Xu Meng Li Yuqiang Xu 《Fluid Dynamics & Materials Processing》 EI 2023年第1期105-116,共12页
An uncertainty analysis method is proposed for the assessment of the residual strength of a casing subjected to wear and non-uniform load in a deep well.The influence of casing residual stress,out-of-roundness and non... An uncertainty analysis method is proposed for the assessment of the residual strength of a casing subjected to wear and non-uniform load in a deep well.The influence of casing residual stress,out-of-roundness and non-uniform load is considered.The distribution of multi-source parameters related to the residual anti extrusion strength and residual anti internal pressure strength of the casing after wear are determined using the probability theory.Considering the technical casing of X101 well in Xinjiang Oilfield as an example,it is shown that the randomness of casing wear depth,formation elastic modulus and formation Poisson’s ratio are the main factors that affect the uncertainty of residual strength.The wider the confidence interval is,the greater the uncertainty range is.Compared with the calculations resulting from the proposed uncertainty analysis method,the residual strength obtained by means of traditional single value calculation method is either larger or smaller,which leads to the conclusion that the residual strength should be considered in terms of a range of probabilities rather than a single value. 展开更多
关键词 Casing wear randomness uncertainty non uniform load deep well
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