TAYLOR SERIES AND ORTHOGONALITY OF THE OCTONION ANALYTIC FUNCTIONS

1 IntroductionThe only finite dimensional aIternative di.ili.,1 algebras over R are ffeal algebra R, Com-plex algebra C, Quaternion algebra H, Octonidn algebra O with the embedding relations:R G C C H g O. R and C are commutative and associative, H is associative but notcomlnutative, while O is neither commutative nor a.s..i.ti.e[1].Much earlier the great Swiss mathematician FUeter (a student of Hilbert) and hi8 studentsdeveloped Quaternion analysis up to l950.[2'3] and it was a great…     

跨音压气机转子叶尖间隙复杂流动观测

本文利用高频响动态压力传感器,在文献［１］的基础上,对ＷＰ１１压气机转子叶尖间隙 流场进行了流场测量。测试包括三个转速多个节流条件下的间隙流场。测试结果表明：激波总体位 置随节流加深而向上游移动,但吸力面最小压力点基本维持在４０％或２０％弦长处不变。当激波位 置在该点之后时,二次漏流直接冲击激波结构;当激波位置在该点之前时,激波结构基本只受前缘 漏流的影响。     

螺桨转子颤振涡动的一种算法

介绍螺桨转子系统颤振涡动的一种算法。本算法考察桨叶的振动变形，桨轴－支承系统的振动特性，以及螺转子的不平衡力。利用本算法对一模型螺桨转子和一实际螺桨转子进行了分析计算，对螺桨转子轴头动刚度、浆叶弹性变形、桨盘不平衡度等因素对螺桨转子系统颤振涡动的影响进行了分析，表明螺桨转子轴头动刚度下降时，螺浆发生颤振涡动的极限飞行速度下降。模型螺桨转子的计算结果与风洞试验结果相当吻合，证明本算法是正确的。     

考虑摆振的裂纹转子运动及阵发性混沌

在考虑含裂纹转子盘的摆振运动的情况 ,建立了盘的运动方程并进行数值求解。在裂纹很小时 ,横向振动是与转速相同的同频振动 ,而盘的摆振包含多种倍频成分。当裂纹较大时 ,横向振动会出现阵发性混沌。当摆振的幅值随时间不断增大到一定极限时 ,横向振动的稳定的周期或拟周期运动被打破 ,出现阵发性混沌。同时还出现通过拟周期进入混沌的现象。当裂纹很深时 ,会出现多个新的共振区 ,在此区域振幅迅速发散。盘的偏心距U的增大 ,会抑制混沌 ,使混沌运动锁定到周期运动     

管道联接件参数识别的行波法

基于结构振动的行波理论,提出了一种管道联接件物理参数识别的新方法.以未充液直管在平面内的弯曲振动为例,建立了入射波和出射波在联接件处的散射关系,并结合波模式幅值系数的识别,得到一组包含待识别参数的非线性方程组.在每一个频率下求解该方程组得到联接件的动刚度,最后采用最小二乘法一次识别得到联接件的物理参数.数值仿真结果表明,行波法在管道联接件参数辨识中,识别精度高,而且采用矩阵条件数小的传感器阵列,可以提高参数辨识的精度.     

Grazing Bifurcation in the Response of Cracked Jeffcott Rotor

A cracked rotor is modeled by a piecewise linear system due to thebreath of crack in a rotating shaft. The differential equations ofmotion for the nonsmooth system are derived and solved with thenumerical integration method. From the simulation results, it isobserved that a grazing bifurcation exists in the response. Thegrazing bifurcation can give rise to jumps between periodic motions,quasi-periodic motions from the periodic ones, chaos, and intermittentchaos.     

Orthogonal Invariance of the Dirac Operator and the Critical Index of Subharmonicity for Octonionic Analytic Functions

We show that the Dirac operator ${D = \sum_{0}^{7} e_k \frac{\partial}{\partial _{{x}_k}}}$ is orthogonal invariant. As an application, we give a new proof of the theorem in [7].     

气相色谱内标法测定胶黏剂中的苯、甲苯、二甲苯

以气相色谱内标法测定胶黏剂中苯、甲苯、二甲苯,在试剂空白和样品组分不干扰内标物的情况下,5种目标物线性相关系数均达0.999 99;测定结果不受高黏度样品进样量的影响,相对标准偏差为0.06%~0.30%(n=9);在40~600 mg/L的3个浓度水平内,加标回收率在98.93%~100.98%之间。内标法测量精密度与准确度均优于外标法。     

Cd（PMBP）2（HPMBP）配合物的合成和表征

合成了一种新螯合物,Cd(PMBP)_2(HPMBP),并进行了元素分析,IR,~1HNMR,TGA和DSC研究.     

An efficient isolation and purification of broad partition coefficient range ginsenosides from roots of Panax quinquefolium L. by linear gradient counter-current chromatography coupled with preparative high-performance liquid chromatography

As a famous health food, roots of Panax quinquefolium L. possessed immune regulation and enhancement of the central nervous system, in which ginsenosides are the main active component with different numbers and positions of sugars, causing different chemical polarities with a challenge for the separation and isolation. In this study, a fast and effective bilinear gradient counter-current chromatography was proposed for preparative isolation ginsenosides with a broad partition coefficient range from roots of Panax quinquefolium L. In terms of the established method, the mobile phases comprising n-butanol and ethyl acetate were achieved by adjusting the proportion. Coupled with the preparative HPLC, eleven main ginsenosides were successfully separated, including ginsenoside Rg₁ ( 1 ), Re ( 2 ), acetyl ginsenoside Rg₁ ( 3 ), Rb₁ ( 4 ), Rc ( 5 ), Rg₂ ( 6 ), Rb₃ ( 7 ), quinquefolium R₁ ( 8 ), Rd ( 9 ), gypenoside X VII ( 10 ) and notoginsenoside Fd ( 11 ), with purities exceeding 95% according to the HPLC results. Tandem mass spectrometry and electrospray ionization mass spectrometry were adopted for recognizing the isolated compound architectures. Our study suggests that linear gradient counter-current chromatography effectively separates the broad partition coefficient range of ginsenosides compounds from the roots of Panax quinquefolium L. In addition, it can apply to active compound isolation from other complicated natural products.