Fully Nonlinear Elliptic Equations with Gradient Constraint

Elastic-plastic torsion problem and some stochastic control problem can be reducedto elliptic equations with gradient constraint, which were studied in [2],[1]. In linear case, the existence of W~(1,∞)∩W_(10c)~(2,p) strong solution was obtained in [1].This result was improved and W_(10c)~(2,∞) regularity was obtained in [8]. The gradient obstacle problem of qusilinear elliptic equation was discussed in [9].The W~(1,∞)∩W_(10c)~(2,∞) strong solution exists under the restriction that the leading     

中间矢量玻色子的反常磁矩和一种可能的实验检验

本文从几个方面对W~±矢量中间■色子(VIB)的磁矩问题进行了讨论:(1)核Weinberg—Salam 模型,利用规范不变性得出正规顶角的母泛函方程,求出三线VIB 正规顶角满足的Ward—Takahashi 恒等式,证明了在没有自发破缺情形下,它的张量结构形式与裸的VIB三线耦合项相同.对于自发破缺的情况.也给出了概要的证明.指出上述结论不变.(2)论证了上面的结论对应W~±的反常磁矩和反常电四磁矩为零:从有效相互作用的普遍形式出发,说明反常磁矩和反常电四磁矩是由哪些相互作用项引起的.而规范理论中不存在这种相互作用项.(3)计算了园偏振的硬γ光子与高能电子碰撞产生W~±的过程,指出利用它来检验W~±磁矩的优点。在E~2(?)从10~4-5×10~4Gev~2范围内,计算了γ光子不同偏振状态的微分截面、总截面和不对称性系数.结果表明,测量它们随能量的变化能确切地定出W~±磁矩的数值.     

基于PCA-Rprop神经网络的建筑业上市公司退市风险预警研究

针对标准BP神经网络仅从预测误差负梯度方向修正权值和阈值,存在学习算法收敛速度满、容易陷入局部最小值从而导致模型泛化能力不足的问题.本文提出了一种基于误差反向传播算法(back-propagation algorithm,BP)改进的弹性反向传播算法(resilient back propagation,Rprop),并与主成分分析法相结合,形成了PCA-Rprop神经网络算法.同时,构建包含财务变量和非财务变量的预警体系,运用Matlab软件对我国195家建筑业(涉及房地产概念)上市公司进行退市风险预警实证分析,实证结果表明PCA-Rprop神经网络算法的退市风险预警准确性相较于标准BP神经网络算法和支持向量机模型分别提高了7.03%和10.29%.因此,该模型有望为利益相关者的风险管控和投资决策提供较好的参考依据.     

黎曼和黎曼—哈斯曼問題

本文应用泛函分析的方法来研究連續系数的Q——广义解析函数的黎曼問题和黎曼——哈斯曼問題。問題的提法:在全复平面寻求分片正則的Q——广义解析函数,在无穷远处为零,在L上存在负极限W~±(t)∈L_p(L),p>1,满足边值条件: 問題R:W~+(t)=G(t)W~-(t)+h(t) t∈L 問題R—H:W~+[a(t)]=G(t)W~-(t)+h(t) t∈L系数C(t)∈C(L),h(t)∈L_p,p>1.     

几种p进导数之间的关系

本文所讨论的函数都以1为周期,我们用L_(W~∞_(0.1))表示由Walsh函数张成的L_(W~∞_(0.1))的子集的闭包。用X=X[O.1)表示空间L_((0.1))~q(1≤q<∞)或L_(W~∞_(0.1))中的一个。f∈X[O,1]的范数表为‖f‖x。     

积分算子的奇异数和本征值

设Ω=[0,1]×[0,1]是单位正方形,W~(12)(Ω)表示由所有这样的K(x,y)∈L~2(Ω)构成的空间:它对每个y关于x绝对连续,对每个x关于y绝对连续,而且偏导数((?)/(?)x)K(x,y)((?)/(?)x)K(x,y)都在L~2(Ω)中。最近Reade证明,任何K(x,y)=K(Y,X)∈W~(12)(Ω)的本征值,满足。本文说明,任何K(x,y)∈W~(12)(Ω)的奇异数满足特别如K(x,y)∈W~(12)(Ω)还假定是对称的,那末Reade的结果可改进。     

超高能γ-线、高能μ子及Centauros事例

最近实验发现来自宇宙的超高能(E_γ>10~(15)eV)γ-线有两方面特别重要:(1)已与十多个高能天体相对应。(2)探测质子衰变的两组地下实验均探测到来自CygX-3方向的高能μ子。本文认为:超高能γ-光子波长λ～10~(-19)—10~(-20)cm,可透入核子深层内击出仅参与弱作用的中间玻子W~(±)和Z~0:(1)若为W~ -W~-对,它在大气中产生电磁级联,次级粒子全为轻子,能自然而合理地解释高山乳胶室观测到的Centauros事例。(2)若为Z~0,它仅参与弱作用的中性粒子,衰变前与物质不发生作用,Z~0→μ~ μ~-,这样较好解释了探测来自CygX-3的地下高能μ子事例。     

一种非规则LDPC码的改进型UMPBP—Based译码算法

为了减小UMPBP—Based译码算法相对于LLR—BP译码算法的性能损失,提出了一种改进型UMPBP—Based译码算法,校验节点消息处理时,通过合理地设置校正因子与偏移因子2种参数,将NormalizedBP-Based和OffsetBP—Based2种译码算法进行有效的融合;变量节点消息处理时,引入了一种LLR—BP译码算法中的震荡补偿算法．仿真结果表明,针对非规则LDPC码,在一定范围内误码率相同的条件下,改进型UMPBP-Based译码算法与UMPBP—Based、NormalizedBP—Based和OffsetBP-Based3种译码算法相比较,译码性能得到明显的改善,可以更有效地逼近性能优异的LLR—BP译码算法．     

空间W~(m,p)(R)的分段多项式逼近

函数空间的逼近理论由于在近似方法中的应用而被人们所重视。Di Guglielmo,F.在[1]中研究了空间 W~(m,p)(R~n)(p≥2)的多项式逼近问题。空间 W~(m,p)(Ω)是指具有如下性质的函数 u 组成的集合:W~(m,p)(Ω)≡{u∈L~p(Ω):D~αu∈L~p(Ω),0≤|α|≤m,其中 D~αu 是意义下的广义(或广义函数意义下的)偏导数},其中α={α_1,…,α_n}是非负整数α_j 的一个 n 重组,|α|=sum from j=1 to n α_j,D_j=(?)/((?)x)(对于1≤j≤n),D~α=D_1~(α_1)…D_n~(α_n).Ω为有界或无界区域。范数为‖u‖_m~p,p=sum from 0≤|α|≤m ‖D~αu‖_p~p, 1相似文献   

改进型粒子群优化算法的BP神经网络全息图压缩

针对拥有庞大数据量的全息图再现像质量不理想的问题, 提出一种针对粒子群优化算法(PSO: Particle Swarm Optimization)中学习因子和惯性权值进行动态调整的方法, 将改进后的算法与反向传播(BP: Back Propagation)神经网络相融合形成改进型粒子群优化BP 神经网络(MPSO-BP: Modified Particle Swarm Optimizing
BP Neural Network)并用于全息图压缩。通过与BP 神经网络和粒子群优化BP 神经网络(PSO-BP: Particle Swarm Optimizing BP Neural Network)压缩算法进行对比, 证明了该网络压缩算法在保持较好的压缩效率时得到的全息图再现像质量更好。     

Markedness and its Interpretation in Language Use

Language markedness is a common phenomenon in languages, and is reflected from hearing, vision and sense, i.e. the variation in the three aspects such as phonology, morphology and semantics. This paper focuses on the interpretation of markedness in language use following the three perspectives, i.e. pragmatic interpretation, psychological interpretation and cognitive interpretation, with an aim to define the function of markedness.     

Features of Women's language

Language is a means of verbal communication. People use language to communicate with each other. In the society, no two speakers are exactly alike in the way of speaking. Some differences are due to age, gender, statue and personality. Above all, gender is one of the obvious reasons. The writer of this paper tries to describe the features of women＇s language from these perspectives： pronunciation, intonation, diction, subjects, grammar and discourse. From the discussion of the features of women＇s language, more attention should be paid to language use in social context. What＇s more, the linguistic phenomena in a speaking community can be understood more thoroughly.     

An Analysis of Catherine＇s Character——Wuthering Heights

Wuthering Heights, Emily Bronte＇s only novel, was published in December of 1847 under the pseudonym Ellis Bell. The book did not gain immediate success, but it is now thought one of the finest novels in the English language. Catherine is the key character of this masterpiece, because everybody and everything center on her though she had a short life. We can understand this masterpiece better if we know Catherine well.     

Lower Paleozoic oil relationships within Williston Basin, Canada

The Williston Basin is a significant petroleum province, containing oil production zones that include the Middle Cambrian to Lower Ordovician, Upper Ordovician, Middle Devonian, Upper Devonian and Mississippian and within the Jurassic and Cretaceous. The oils of the Williston Basin exhibit a wide range of geochemical characteristics defined as "oil families", although the geochemical signature of the Cambrian Deadwood Formation and Lower Ordovician Winnipeg reservoired oils does not match any "oil family". Despite their close stratigraphic proximity, it is evident that the oils of the Lower Palaeozoic within the Williston Basin are distinct. This suggests the presence of a new "oil family" within the Williston Basin. Diagnostic geochemical signatures occur in the gasoline range chromatograms, within saturate fraction gas chromatograms and biomarker fingerprints. However, some of the established criteria and cross-plots that are currently used to segregate oils into distinct genetic families within the basin do not always meet with success, particularly when applied to the Lower Palaeozoic oils of the Deadwood and Winnipeg Formation.     

低渗透非均质砂岩油藏启动压力梯度研究

理论推导与室内实验相结合,建立了低渗透非均质砂岩油藏启动压力梯度确定方法。首先借助油藏流场与电场相似的原理,推导了非均质砂岩油藏启动压力梯度计算公式。其次基于稳定流实验方法,建立了非均质砂岩油藏启动压力梯度测试方法。结果表明:低渗透非均质砂岩油藏的启动压力梯度确定遵循两个等效原则。平面非均质油藏的启动压力梯度等于各级渗透率段的启动压力梯度关于长度的加权平均;纵向非均质油藏的启动压力梯度等于各渗透率层的启动压力梯度关于渗透率与渗流面积乘积的加权平均。研究成果可用于有效指导低渗透非均质砂岩油藏的合理井距确定,促进该类油藏的高效开发。     

On Tragic Consciousness In The Works By Ernest Hemingway

As an American modern novelist who were famous in the literary world, Hemingway was not a person who always followed the trend but a sharp observer. At the same time, he was a tragedy maestro, he paid great attention on existence, fate and end-result. The dramatis personae's tragedy of his works was an extreme limit by all means tragedy on the meaning of fearless challenge that failed. The beauty of tragedy was not produced on the destruction of life, but now this kind of value was in the impact activity. They performed for the reader about the tragedy on challenging for the limit and the death.     

Achieving Unusual States of Matter Under High Pressure

正The periodicity of the elements and the non-reactivity of the inner-shell electrons are two related principles of chemistry,rooted in the atomic shell structure.Within compounds,Group I elements,for example,invariably assume the+1 oxidation state,and their chemical properties differ completely from those of the p-block elements.These general rules govern our understanding of chemical structures and reactions.Using first principles calcula-     

Exchange-Correlation and Electronic Excitation Energies from Pairing Matrix Fluctuations

We have developed an adiabatic connection to formulate the ground-state exchange-correlation energy in terms of pairing matrix linear fluctuations.This formulation of the exchange-correlation energy opens a new channel for density functional approximations based on the many-body perturbation theory.We illustrate the potential of such approaches with an approximation based on the particle-particle Random Phase Approximation(pp-RPA).This re-     

Density Functional Theory for the Response of Periodic Systems to Electric Fields Based on the Vector Potential Approach

正The electronic and nuclear(structural/vibrational)response of 1D-3D nanoscale systems to electric fields gives rise to a host of optical,mechanical,spectral,etc.properties that are of high theoretical and applied interest.Due to the computational difficulty of treating such large systems it is convenient to model them as infinite and periodic(at least,in first approximation).The fundamental theoretical/computational problem in doing so is that     

Call for Papers

<正>"The Journal of Shanghai Normal University:Mathematics"is published by Shanghai Normal University as regular issues of The Journal of Shanghai Normal University each year from 2014 in English.The editors-in-chief of the issues are professors Yuhao Cong and Maoan Han.The Journal of Shanghai Normal University was started in 1958 with