查询词典 complex number

Using the relations between Hermite and Laguerre-Gaussian modes and expanding the window function of two-dimensional rectangular hard-edged apertures into a finite sum of complex Gaussian functions, the propagation of complex- argument Laguerre-Gaussian beams through a paraxial optical ABCD system with a rectangular hard-edged aperture is studied. An analytical propagation equation is derived and used to study the diffraction at the rectangular hard-edged aperture and the focusing properties of complex-argument LG beams.

利用拉盖尔－高斯模和厄米－高斯模的变换公式，并使用将二维矩孔光阑窗口函数展开为有限个复高斯函数之和的方法，得到了复宗量拉盖尔－高斯光束通过含矩形硬边光阑近轴ABCD光学系统的变换的解析传输公式，并对复宗量LG光束通过矩形硬边光阑的衍射和聚焦特性进行了研究。

This paper discusses the kernel of the system -- geometric model and includes the following:(1) The topological elements and the relation between them in geometric modeling system are explained and expressed by the theory of simplicial complex and CW-complex. In addition, the identification operators and homology theory in algebraic topology are used in our model. A hierarchical structure is built on the base of complex.

本文主要讨论这个系统的核心问题——几何建模问题，包括以下几个方面内容：(1)用单纯复形和CW复形的理论来解释和表达造型系统中的拓扑元素和拓扑元素之间的相关关系，并将代数拓扑中的粘合操作和同调论应用到模型中，建立以复形为基础的层次结构。

The research of this thesis focuses on the infimum and supremun of self-adjoint operators in a complex Hilbert space with respect to the Gudder order, the infimum and supremun of operators in a complex Hilbert space with respect to the *-order and theΓ-inverse of operators in a complex Hilbert space.

本文研究内容涉及Hilbert空间上自伴算子关于Gudder序的上确界和下确界，Hilbert空间上算子关于~*-序的上确界和下确界以及Hilbert空间上算子的Γ-广义逆这三个方面的内容。

We paid special attention to the complex linear space consisting of all linear mappings from dimensional complex inner product space into dimensional complex inner product space .

2是与基的选择无关的概念。容易验证内积(2)满足内积的公理，从而是一个位的复内积空间。当是的正交归一基，是的正交归一基，可以证明构成的正交归一基。

Focus on the origin of Weierstrass\' Complex Analysis, considering to external and internal causes are the development of complex function in 19~ century reviewed, and three basic approaches lead to complex analysis, namely, algebraic analysis, integral and geometry are introduced.

指出了德国数学组合分析与古德曼的级数工作以及分析严格化要求的共同影响，构成了魏尔斯特拉斯发展复变函数理论的动机。2。

In this paper, a varieties of concepts of compactness of sets and sunsets are introduced in a complex locally convex space, which are respectively the generalizations of the known sunsets and convex sets. By establishing the relationship between restricted p-centers of a set in a complex locally convex space and restricted Chebyshev centers of the corresponding set in the quotient space with respect to ker, characterizations and uniqueness of restricted p-centers of sets in a complex locally convex space are obtained. These results are better than any other known ones when we restrict them in real normed linear spaces and real locally convex space.

本文首先在复局部凸空间中引入了几种紧性及几种太阳集的概念，它们分别是已有紧性和凸集概念的推广；然后通过建立局部凸空间中集的限制p-中心和关于ker的商空间中对应集的限制Chebyshev中心的关系，来研究局部凸空间中集的限制p-中心问题，本文即使是在实赋范空间和在实局部凸空间中所得的结果都分别是有关已知结果的深化和推广。

SHRIMP technique is applied to the age determination of Shuiquangou alkalic complex. Zircons from monzonite and syenite of the complex in the Dongping and Hougou gold mining district are dated at age of (390± 6) Ma and (386±6) Ma, respectively with U-Pb method. Rock-forming times of the complex is confidently constrained in the Late Caledonian-Early Hercynian period.

采用先进的SHRIMP测年技术对河北水泉沟碱性杂岩体进行了年龄测定，获得东坪金矿区水泉沟岩体二长岩锆石U-Pb年龄为(390±6)Ma，后沟金矿区水泉沟岩体正长岩年龄(386±6)Ma，比较可信地确定了水泉沟岩体的成岩时代为晚加里东期－早海西期。

The Complex Frequency Image Method which estimates the positions of poles by the positions of maximums of the negative second order derivative in complex plane is presented, and on its basis the Complex Frequency Trap Method is given.

提出了由复平面上负二阶导数的极大值的位置来估计极点位置的复频图象法，并在它的基础上给出了复频陷波法。

In 42 ACME-arcA-positive isolates, 8 isolates harbored SCCmec V, 8 isolates harbored class C1 mec complex and ccrAB_, 22 isolates harboring class C1 mec complex and 4 isolates harboring class C2 mec complex were negative for all known ccr allotypes.

本研究在ACME-arcA基因阳性菌株中发现整合酶基因ccr的一种新亚型ccrAB_(SHP.42株ACME-arcA基因阳性菌株，8株携带V型SCCmec，8株携带C1型mec基因复合体和ccrAB_，剩余26株携带C型mec基因复合体和未分型ccr。

The construction of complex orthomorphism is created, and based on it the connection of complex f -algebra and complex orthomorphism is discussed.

详细论证了复正交射的结构，并以此为基础讨论了复f-代数与复正交射的关系。

"Yes, now you can give yourself airs," she said, you have got what you wanted.

"对了，您现在高兴了，"她说道，这是您所期待的。

Then the LORD said to me: Rebel Israel is inwardly more just than traitorous Judah.

上主于是对我说：＂失节的以色列比失信的犹大，更显得正义。