流形上微分方程求解的渐近展开方法

文章陈述了流形上微分方程、渐近级数和渐近展开等概念和相关命题,然后给出了例子,用渐近展开方法求解了微分方程。     

Effects of self evaluation on late ERP components

High-density event-related potentials (ERPs) were measured when participants were required to evaluate oneself, significant others (father and mother) and the most familiar public figures (Lei Feng and Jiang Qing) based on trait adjectives. There were three referential conditions and a non-referential control condition including self-evaluation (SE), significant other-evaluation (SOE), general other-evaluation (GOE), and semantic positivity-evaluation (SPE). The behavioral data showed that RTs to GOE condition were longer than the other three conditions. Scalp ERP analysis revealed that (1) SPE condition elicited a more negative N2 than SE condition, which was associated with inhibition of responses; (2) SE condition elicited a more positive P300 than SPE condition, which was an index of attention to self-relevant stimuli; (3) there was no difference on the amplitude and latency of P300 between SE and SOE conditions, which reflected that the concept of “self” included intimate others (e.g., father and mother) in Chinese culture.     

反周期函数(0,P(I))三角插值

通过引进积分算子P(I),研究了反周期函数插值及反周期函数的2-周期(0,P(I))插值,得到了解存在的条件,并给出对应条件下解的显式.     

不连续二阶周期边值问题的可解性

考察了一类非线性项含有一阶导数的二阶周期边值问题的解的存在性,其中非线性项是Carathèodory函数.通过构造非线性项的高度函数并且利用Leray-Schauder不动点定理建立了两个存在定理.第一个定理表明只要高度函数的积分是适当的,这类问题至少有一个解.第二个定理表明当非线性项在无穷远处增长的极限是一个无界函数时在适当条件下这问题仍可能有一个解.     

A NEW DESCRIPA NEW DESCRIPTOR OF AMINO ACIDS BASED ON THE THREEDIMENSIONAL VECTOR OF ATOMIC INTERACTION FIELD

QUANTITATIVE STRUCTURE ACTIVITY RELATIONSHIP (QSAR) IS A VERY IMPORTANT TOPIC FOR MANY SCIENTIFIC FIELDS AND CAN BE TERMED AS QUANTITATIVE SEQUENCE ACTIVITY MODELS(QSAM)[1] WHEN REFERRED TO THE RESEARCH ON RELATION- SHIPS BETWEEN STRUCTURES AND ACTIVITIES OF BIOLOGICAL MOLECULES, SUCH AS PROTEINS, AND NUCLEIC ACIDS. HOW- EVER, IT IS VERY DIFFICULT TO ESTABLISH A QSAM MODEL,…     

工程中常用的几种氧化沟及其发展

简要介绍了当今工程中常用的几种氧化沟技术的特点及其发展历程,主要包括Carrousel氧化沟、Orbal氧化沟、交替式氧化沟以及一体化氧化沟。     

合金铸铁激光处理的探讨——Ⅱ.激光辐照工艺参数的控制

用热传导方程控制激光辐照温度,建立了一种新回归方程以控制激光辐照硬化深度,选用卡尔丹公式列热传导方程及同归方程联立求解,可得到同时满足一定的硬化深度及表面最高温度双重要求的工艺参数,此种方法可作为激光硬化处理工艺参数的控制或预报,对本合金铸铁的激光硬化处理,其表面温度的下限应大于其熔点温度,即以表面产生微熔的快速冷凝处理为宜,并以选取低功率慢扫描为最佳。     

高分辨率谱估计算法MUSIC和Minimum-Norm及性能比较

本文从理论上详细叙述了高分辨率谱估计技术MUSIC和Minimum-Norm算法的机理,给出并比较了它们的空域谱平坦度、3dB谱宽度和谱峰值随信噪比的变化情况.文章对工程设计人员加深理解、选择算法具有一定的参考意义.     

处理优化约束条件的微分方程法

在文[1]中,作者曾提出求解一般约束优化问题的一种新方法。本文利用微分方程对约束条件做进一步的讨论,证明了从一可行点的某邻域出发的该微分方程组的解关于部分变元总收敛到问题(1.1)的可行点。