求和

Concretely speaking, using the irreducible tensor theory, we deuced the formulism for fine-structure energies of boron-like atoms in the ground and first excited states, which involves spin-orbit, spin-spin and spin-other-orbit interactions; completing all the angular integrations and spin summations needed, we make the final expression for fine-structure energies of boron-like atoms in the ground and first excited states in a combination of radial integrations. Afterwards, employing the wave functions we got in Chapter Three, we accomplished all the radial integrations and so obtained the fine-structure energies.

具体地说，利用不可约张量理论导出了类硼离子基态以及第一激发态的精细结构的表达式，给出了自旋-轨道、自旋-自旋、自旋-其它轨道相互作用等所涉及的所有角向积分和自旋求和的解析计算方法，完成了角向积分、自旋求和的计算，使类硼离子基态以及第一激发态精细结构能级最终可以表示为径向积分之和；在此基础上利用以前所得到的非相对论性波函数，进一步完成了所有径向积分的计算，从而得到了对应能级的精细结构的理论计算值。

The main content of this thesis is to find and prove some summation and transformation formulae of basic hypergeometric series by the modified Cauchy method,operator method and inversion techniques,which include many well-known results as special cases,for example,q-Saalschiitz summation formula,Baileys _6ψ_6 summation formula,non-terminating Watson transformation formula and Rogers-Ramanujan identities etc.

本文的主要内容是利用修正的Cauchy方法、算子方法和组合反演技巧来发现和证明一些基本超几何级数求和公式和变换公式，其中包含一些著名的公式，如q-Saalschüz求和公式、Bailey的_6ψ_6求和公式和非终止的Watson变换公式等作为其特殊情况。

This paper presents synthetic detecting fault feeder method based on the method of summation of mutual integral of transient current for intermittent arc earth fault and the method of summation of admittance mutual difference and fused current method for steady earth fault.

提出了基于电弧接地故障的暂态电流互积求和选线法和针对稳态接地故障的导纳互差求和选线法和融合电流选线法的综合选线方法。

Then, the boundary points are extracted. By using Shu's theorems the sum of Legendre polynomial of the boundary points is calculated.

首先使用Yang-离散格林公式将二值图像矩计算中区域内求和转换为沿区域边界求和；然后提取该图像的边界点；再利用Shu提出的公式计算出边界点的Legendre多项式的叠加值。

Check content covered the aspect of almost full knowledge of series, if tried check of the 11st problem 2004 of series connect with knowledge of sue for peace, the 2 content check that try the 2nd big problem to combine analytic geometry, inequality of recurrence series, monotonicity and;2005 of knowledge of sue for peace year try the 7th problem to combine polynomial coefficient check knowledge of geometric series sue for peace, the 13rd problem is background check with recurrence series the preliminary knowledge; of the property that series concerns and number theory

考查内容涵盖了数列的几乎全部知识点，如2004年一试第11题考查了数列的通项和求和知识，二试第2大题结合解析几何、不等式的内容考查了递推数列的通项、单调性及求和知识；2005年一试第7题结合多项式系数考查了等比数列求和知识，第13题以递推数列为背景考查了数列有关的性质和数论的初步知识

So the sum of spinor can be simply replaced by the spin average calculation by using grassmann variables algebraic simplified sum spin coupling sum and reduce the computational complexity.

利用格拉斯曼变量的代数简化求和的计算，把自旋耦合求和变成自旋平均计算，在这方面使得求解的过程较传统方法简化许多。

Summation of infinite series is part of the process of learning more difficult to grasp the progression part, this article summarizes the common summation of several infinite series method, as has the use of progression and the definition of sum, the use of itemized points or one differential sum, the use of split-phase elimination method of summation methods, and problem-solving steps in detail.

无穷级数的求和部分是学生学习级数过程中较难掌握的部分，本文归纳了常见的几种无穷级数的求和方法，像有利用级数和的定义求和、利用逐项积分或逐项微分法求和、利用裂项相消法求和等方法，并提出了详细的解题步骤。

In this paper we investigate the researching state, the developing situation and the prospect for the summability , the strong summability and their relevant approximating oder , strong approximating oder of Cesdro mean - an important linear summation process of the Fourier - Laplace series of functions on sphere.

本文研究了球面上的函数用其Fourier—Laplace级数的一种重要的线性求和法-Cesaro平均来求和与强求和及其相应的逼近与强逼近的阶的研究状况、发展态势和前景展望等。

Via generalizing the Cauchy method we obtain a new method,called the modified Cauchy method.By means of this method we establish two bilateral _3ψ_3 and _4ψ_4 series summation formulae,two four-term summation and transformation formulae for unilateral _3φ_2-series and bilateral _3ψ_3-series,and two five-term summation and transformation formulae for unilateral _3φ_2-series and bilateral _3φ_3-series,which contain many known results as their special cases,such as non-terminating q-Saalschütz summation formula,Bilateral _6ψ_6 series summation formula of Bailey,non-terminating Watson transformation formula and some transformations of _3φ_2-series etc.

通过对Cauchy方法的推广，我们得到修正的Cauchy方法，采用这个方法分别得到两个双边的_3ψ_3和_4ψ_4基本超几何级数的求和公式、单边_3φ_~(2-)级数和双边_3ψ_(3~-)级数的两个四项求和变换公式和两个五项求和变换公式，它们包括许多已有的结果为特例，如非终止的q-Saalschütz求和公式、Bailey的very-well-poised双边级数_6ψ_6求和公式、非终止的Watson变换公式和一些关于单边_3φ_(2~-)级数的变换公式等。

1 After comparison of sum fusion and optimal fusion, sum fusion was selected as the fusion scheme for local test statistics. For the distributed CFAR detection based on the above three local statistics and sum fusion: CA-R-SUM and OS-R-SUM, CA-S- SUM and OS-S-SUM, Max-OS and Min-OS, Max-CA and Min-CA, their analytic expressions of detection performance were derived for and in nonhomogenous background.

2.1 通过求和融合与最优融合的性能对比，确定了以求和融合做为对局部检测统计量的融合方案；推导出了基于上述三种新的局部检测统计量和求和融合的分布式 CFAR 检测方案： CA-R-SUM 和 OS-R-SUM 、 CA-S-SUM 和 OS-S-SUM 以及 Max-OS 和 Min-OS 、 Max-CA 和 Min-CA 在、条件下在非均匀杂波背景中检测性能的解析表达式。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。