The globalization of Durand-Kerner algorithm

I.Intr0ductionForflndingallzerosofacomplexpolynomialofdegree;Ip(z)=zu olz'-l ..' a.-1z a.(l.l)whenzerosareal1simple,manymethodsareavailable.AmongthemaretheDurand-Kerneralgorithm,theAberthalgorithm,thesquarerootingaIg0rithmandtheirvarietiesI3'[1'141.Thecom…     

附加试剂及反应介质对TPPFeCl催化环己烷仿生氧化反应性能的影响

研究了某些附加试剂及反应介质对四苯基卟吩合铁(Ⅲ)[TPPFeCl或(TPPFe)₂O]模拟细胞色素P-450催化PhIO羟化环己烷反应的影响。发现适量的异丙醇、吡啶及NaOH能促进反应,加入盐酸及增大介质的极性对反应不利。证明了副产物环己酮主要是由PhIO直接氧化主产物环己醇生成的,TPPFeCl的存在不利于酮的生成,醇的存在能延长催化剂的寿命。     

再生核希尔伯特空间连续线性泛函的范数及其应用北大核心

考虑了再生核希尔伯特空间连续线性泛函范数的表示,得到了用其范数平方等于该线性泛函连续两次作于再生核的简明表示.对于常见的Sobolev-Hibert空间而言,其再生核则可用截幂函数来表示,从而得到Sobolev-Hibert空间上连续线性泛函范数的简洁表示,以新视角解释和简化了文献中的现有结果.     

Soil radon time series: Surveys in seismic and volcanic areas

Soil radon surveys have been performed in a long term monitoring basis with SSNTD (LR 115 type II), in order to observe possible fluctuations due to high magnitude seismic events and volcanic eruptions. Five-year radon time series are available in stations located in an intense seismic zone located along the Pacific coast of Mexico. The series analyses have been performed as a function of the local seismicity and geological characteristics. A discussion is intended to explain the lack of biunivocal relation between single radon peaks and earthquakes for the long term monitoring data using SSNTDs. Examples of short term radon anomalies obtained with continuous probes are also discussed as a function of local earthquakes and meteorological perturbations. Additionally, complementary results from recent changes in the activity pattern of an active volcano indicate that degassing process induced anomalous soil radon emanation correlated with the volcanic activity changes.     

Relaxation Oscillation Enhancement and Coherence Collapse in Semiconductor Lasers with Optical Feedback

The dynamic characteristics of a semiconductor laser with optical feedback are strongly dependent on the injection current and the reflectivity and position of the external feedback reflector. We investigated the relaxation oscillation enhancement and coherence collapse state of the laser oscillation based on the laser rate equations. It is well known that laser output power jumps with increase of the injection current due to external mode transition. But here for the first we time demonstrate the existence of a chaotic scenario within successive laser power jumps. The results calculated by numerical simulations based on the rate equations are compared with those of the experiments and good coincidence between them is found.     

适合无限维实零点定理的序域之结构Ⅱ

在本文的第二部分中,我们研究了适合无限维实零点定理的序域的结构．通过嵌入,我们证明了,一个序域适合无限维实零点定理,当且仅当它的实闭包同构于域的某个具有无限维逼近性质的子域,这里是一个无裂缝的可除序群,｛Γ｝是指数在中,系数为实数的形式幂级数域．     

拟合隐函数曲线的GNL法

１参数可线性化的曲线拟合问题假设我们已经获得ｎ组独立观测值（ｘｉ,ｙｉ）,其中是精确观测值,ｉ＝１,２,…,ｎ,下同．现欲在最小二乘意义下,拟合非线性模型并假设观测点都分布在模型函数曲线附近．其中为连续可导函数ｇ（ｙ）的反函数,且在我们所研究的ｙ变化范围内恒有ｇ’（ｙ）≠０,（ｊ＝１,２.....下同）为ｐ（＜ｎ）个待定参数．（ｘ）为区间Ｘ内ｐ个线性无关的已知连续函数．随机变量,即为也就是要求求解残差平方和Ｑ（）的无条件极值问题其中参数向量,残差向量,而残差都是微量．对这类常见问题,有以下几种算法．…     

无解的模糊关系方程的最优近似解

对无解的模糊关系方程给出了最优近似解的定义,证明了最优近似解的存在性,给出了求最优近似解的算法     

OSCILLATIONS OF SYSTEMS OF PARABOLICEQUATIONS WITH CONTINUOUSDISTRIBUTED ARGUMENTS

1IntroductionNowadaysoneobservesanexpandinginterestt'owardthestudyofinitialvalueproblemsforpartialdifferentialequations11-6].Butonly[4]publishedtheoscillationtheoryofparabolicequationswithcontinuousdistributeddeviatingarguments.Inthispaper,westudytheoscillationstoasystemofparabolicequationswithcontinuousdistributeddeviatingargumentsoftheformwherefiisaboundeddomaininR"withpiecewisesmoothboundaryoff,nbistheLaplacianinEuclideann-spaceR",Am(x,t)=ZM,andtheT=lrintegralin(1)isaStieltjesintegral.S…     

平面上的近似连续积分

近似连续Ｐｅｒｒｏｎ 积分首先由Ｂｕｒｋｉｌｌ提出,称之为ＡＰ积分,由于近似复盖具有划分性质,因而可以给出ＡＰ积分的Ｒｉｅｍ ａｎｎ型定义． 但是,在平面上近似复盖是否具有划分性质还不知道． 本文给出了一种方法,用这种方法可以在平面上给出ＡＰ积分的Ｒｉｅｍ ａｎｎ型定义而不需要证明划分的存在性．