一类高维半线性热传导方程Cauchy问题解的唯一性与稳定任

文献〔1〕用引进积分的方法讨论了一类高维半线性热传导方程混合问题解的唯一性与稳定性.本文继续文献〔1〕仍用引进积分的方法推导出同类方程Cauchy问题解的唯一性与稳定性.     

交换环上矩阵的一些性质

将有理整环上矩阵的一些性质，推广到交换环上，得到下列结果：对于任一交换环Ｈ，ｍ为Ｈ上的一非零元素，Ｔ为Ｈ上的ｎ阶对称矩阵，则必存在一Ｈ上的对称阵Ｓ和一个非零元素α，使得｜αＴ－ｍＳ｜＝ｍｉαｊ（ｉ，ｊ为满足ｉ＋ｊ＝２ｎ，且 ｉ≥ｎ的任意非负整数）。具中 ｜αＴ－ｍＳ ｜表示矩阵 αＴ－ｍＳ的行列式的值。以此为基础，得到交换环和主理想环上矩阵的一些性质。     

一种新的多维非线性模拟电路频域分析方法——算子广义幂级数分析法

本文叙述一种将牛顿法、部分牛顿法和割线迭代法融合为能分析多维非线性模拟电路,且具有更强的收敛性能的算法.本方法适合于非线性模拟电路的分析,可直接处理频域中的二维非线性元件.文中用测量单音和双音激励一个MESFET放大器的例子所证实.     

关于C^n中有界域上光滑函数的积分表示

文中得到C~?空间中有界域上光滑函数的两种积分表示,这两种积分表示的积分核中都含有向量函数 W,它们可以看成是有界域上全纯函数著名的 Cauchy-Fantappie 公式在光滑函数上的两种不同拓广形式,由这两种抽象的拓广式出发,通过适当选择其中的向量函数,就可相应得到许多区域上光滑函数的积分表示的两种不同形式。     

Ferroelectric phase transition in relaxor ferroelectric single crystals 0.76PMN-0.24PT

The features of the single crystals 0.76PMN-0.24PT in dietectric, ferroetectric, pyroetectric properties and domain structures indicate that they are located between typical ferroetectrics and normal ones. The unpoled crystals present a transitional domain configuration between microdomains and typical macrodomains while the crystals on (001) cuts undergo fietd-induced phase transition under poling, showing two special temperature points T_d andT _m during the succedent heating procedure. The dietectric constant starts to decrease drastically at T_d during cooling, or the transformation from induced macrodomain to transitional domain takes place atT _d during heating. Ferroetectric-paraetectric phase transition or depolarization continues within the whole temperature range ofT _d-T _m, where ferroetectric phase in the form of transitional macrodomains coexists with paraetectric phase. Then the crystals macroscopically transoform into paraetectric phase containing ferroetectric microdomains at a temperature aboveT _m. However, owing to the influence of crystallite orientation on fietd-induced phase transition, the temperatureT _d does not appear in the same temperature-etectric fietd history in multicrystal ceramics with the same composition as the above single crystals.     

工作意义感研究进展与热点分析基于文献计量方法

随着社会发展及管理实践的演进,工作意义感已成为组织管理领域的关键变量,对员工工作投入、工作绩效等结果产生深刻影响,引发学界的广泛关注。本研究以引文可视化分析软件CiteSpace为工具,对Web of Science核心合集中1990~2023年发表的共2471条工作意义感相关文献进行计量分析,采用共被引分析、时区分析、突现分析等方法,对国际工作意义感领域的知识结构、研究热点和演变趋势进行挖掘和梳理,为后续研究者提供参考。     

基于VMD-LSTM-IPSO-GRU的电力负荷预测

为了挖掘电力负荷数据中的潜藏信息,提高负荷预测的精度,针对电力负荷强非线性、非平稳性等特点,提出一种基于变分模态分解(variational mode decomposition,VMD)、优化长短期神经网络(long-term and short-term memory network,LSTM)、改进的粒子群算法(improve particle swarm optimization,IPSO)优化门控循环单元(gated recurrent unit neural network,GRU)的混合预测模型。首先,使用相关性分析确定确定输入因素,再将负荷数据运用VMD算法结合样本熵分解为一系列本征模态分量(intrinsic mode fuction,IMF)和残差量,更加合理地确定分解层数和惩罚因子;其次,根据过零率将这些量划分为低频和高频,低频分量使用LSTM网络,高频分量利用IPSO-GRU网络分别进行预测;最后,将预测结果重构得到电力负荷的最终结果。仿真结果表明,相对于其它常规模型,该混合模型可有效的提取模态特征,具有更高的预测精度。     

变论域自适应模糊PID方法的研究与仿真

从优化模糊控制器的角度出发,讨论了变论域思想和伸缩因子的概念,同时就量化、比例因子和伸缩因子的关系进行了分析,进而阐述了一般情况下两种伸缩因子的选取方法;在此基础上将模糊PID和变论域思想想结合,形成变论域自适应模糊PID控制结构;最后通过某复杂非线性系统进行仿真研究,结果表明该方法达到了预期目的,优越性明显。     

SET domain protein lysine methyltransferases: Structure, specificity and catalysis

Site- and state-specific lysine methylation of histones is catalyzed by a family of proteins that contain the evolutionarily conserved SET domain and plays a fundamental role in epigenetic regulation of gene activation and silencing in all eukaryotes. The recently determined three-dimensional structures of the SET domains from chromosomal proteins reveal that the core SET domain structure contains a two-domain architecture, consisting of a conserved anti-parallel β-barrel and a structurally variable insert that surround a unusual knot-like structure that comprises the enzyme active site. These structures of the SET domains, either in the free state or when bound to cofactor S-adenosyl-L-homocysteine and/or histone peptide, mimicking an enzyme/cofactor/substrate complex, further yield the structural insights into the molecular basis of the substrate specificity, methylation multiplicity and the catalytic mechanism of histone lysine methylation. Received 10 June 2006; accepted 22 August 2006     

Optimization of the cellular import of functionally active SH2-domain-interacting phosphopeptides

Phosphopeptides interacting with src homology 2 (SH2) domains can activate essential signaling enzymes in vitro. When delivered to cells, they may disrupt protein-protein interactions, thereby influencing intracellular signaling. We showed earlier that phosphopeptides corresponding to the inhibitory motif of Fcγ receptor IIb and a motif of the Grb2-associated binder 1 adaptor protein activate SH2-containing tyrosine phosphatase 2 in vitro. To study the ex vivo effects of these peptides, we have now compared different methods for peptide delivery: (i) permeabilization of the target cells and (ii) the use of cell-permeable vectors, which are potentially able to transport biologically active compounds into B cells. We found octanoyl-Arg₈ to be an optimal carrier for the delivery of phosphopeptides to the cells. With this strategy, the function of cell-permeable SHP-2-binding phosphopeptides was analyzed. These peptides modulated the protein phosphorylation in B cells in a dose- and time-dependent manner. Received 27 July 2006; received after revision 4 September 2006; accepted 18 September 2006