查询词典 differential calculus

The additional calculation error of measuring gas flow capacity through planimeter calculating av - erage value between differential pressure and static pressure with dual bellows differential pressure flow capacity table is discugsed in this paper .

本文讨论了从双波纹管差压流量卡片上，用求积仪求得差压和静压的平均值计算天然气流量方法所产生的附加计算误差；分析了差压和静压在不同的变化趋势下，附加计算误差的大小和方向；提出了改进和预防的建议。

The main results are:(1) the L1 boundedness of the Cesaro means operator of the harmonic expansions on the unit sphere with reflection-invariant measures is proved, and the characterization of the convergence index is given; for the points not in the planes with singularities, the pointwise convergence is also proved; these results are the generalizations of those both for the classical spherical harmonic expansions and for the Jacobi expansions;(2) Using the differential-reflection operators of Dunkl type, the uncertainty principle of a class of Sturm-Liouville operators is established, and as consequences, the uncertainty principles of some well-known classical orthogonal expansions such as Jacobi, Hermite and Laguerre expansions are obtained;(3) by introducing the Cauchy-Riemann equations in terms of the differential-reflection operators of two variables, the harmonic analysis of the extended Jacobi expansions is studied; the results include the Lp boundedness and the weak-L1 boundedness of the conjugate extended Jacobi expansions; specially, for some indexes p smaller than 1, the basic theory of the related Hardy spaces is established.

主要成果有：（1）证明了带有反射不变测度的球面调和展开蔡沙罗平均算子的L1有界性，给出了收敛指标的特征刻划，对不在奇性平面上的点，还证明了点态收敛性，这些成果同时推广了经典球面调和展开和雅可比展开的结果；（2）利用Dunkl型的微分-反射算子建立了一类斯特姆-刘威尔算子的测不准原理，并由此得到一些著名的经典正交展开如雅克比展开、赫米特展开和拉盖尔展开的测不准原理；（3）利用由两个变量的微分-反射算子定义的柯西-黎曼方程组来研究扩展雅克比展开的调和分析，证明了共轭扩展雅克比展开的Lp有界性和弱L1有界性，特别是对小于1的一些指标p，建立了相应的哈代空间的基本理论。

Compared with the traditionalroot-locus method, the root-locus method proposed in this dissertation has thefollowing characters:1 The poles location is expressed by polar coordinates.2 The poles location is computed directly.3 The object includes the closed-loop systems and controllers.4 The influence of the parameters on the polar radius and angle can be studied mainly by differential operation.5 The relationship between the polar radius and angle can be studied mainly by differential operation.

与传统的根轨迹法相比，本论文中所采用的根轨迹法具有以下的特点：1 使用极坐标表示极点的位置2 直接计算闭环极点的分布3 研究对象包括闭环系统与控制器4 以微分运算为主要手段，研究了参量的变化对极点的极径和辐角的影响5 以微分运算为主要手段，研究了极点的极径与辐角间的关系本论文从研究Dahlin 控制器振铃现象的成因及消除方法出发，主要进行了以下方面的研究：运用根轨迹法对Dahlin 控制器进行了动态性能分析。

We also give all positive self-adjoint extensions ofsingular differential operators,and all positive self-adjoint operators generated by theproducts of differential expressions 〓,where l is an nth order differentialexpression.The result that each positive self-adjoint operator is not necessarily theform of operator product 〓.This answers an open problem proposed by theauthors recently.

我们也给出了奇型微分算子的所有正自伴扩张形式及乘积微分算式〓所诱导的所有正自伴算子形式，证明〓所诱出的正自伴算子不必须是由算子乘积〓为l所生成的算子）的形式，从而回答了作者新近提出的一个公开问题。

Two basic theorems are given by researching Hamilton's two steps linear differential equations of bender equations which provide widespread application methods of normal differential operator correspond to ladder operators,then the solutions of general equations are obtained by taking advantage of the two above theorems: The energy eigenvalue equation of one-dimensional oscillator; the common state of ; the radial equation of a bondage state of hydrogen atom; the radial equation isotropic three-dimensional harmonic oscillator; the infinity deep potential well of ball

本文通过研究束缚态本征方程里的哈密顿算符的二阶线性常微分形式，给出两个基本定理并证明，提供构造二阶线性常微分算符相应的阶梯算符的普遍实用的方法，然后利用这两个定理构造量子力学中常见力学量的阶梯算符，并用以计算其能量本征值和对应本征函数：一维谐振子的能量本征方程；共同本征态；氢原子束缚态径向方程；三维各向同性谐振子的径向方程；无限深球势阱。

Firstly, proem, it concise introduces the background ; Secondly, it introduces the reform of the commission system and the dilemma of the securities companies in our country; Thirdly, it puts forward the idea of implementation of "Optionally differential strategies " as the natural choice for the future development of the securities brokers in our country , through the analysis of the current competitive environment of the securities companies in our country and study on the alternatives of competitive strategies ; The forth , it describes how to practice " Optionally differential strategies",which including three aspect: the choice of the core competition ability, the measures for the implementation are brought forth ,and the condition of practice the strategies; The fifth, it s the summary of the dissertation.

第一部分，简介论文写作背景；每二部分，介绍我国佣金制度改革以及改革后我国证券公司所面临的困境；第三部分，通过对现阶段我国证券公司竞争环境的分析，进行竞争战略选择研究，提出实施选择性差别化战略应成为我国证券商未来发展的必然选择。第四部分，提出"选择性差别化战略"的实施措施，包括拓展业务领域、拓宽交易渠道及改革证券商管理模式三方面可操作的内容；第五部分，对全文作概括性的总结。

A modified differential evolution algorithm was presented. In the proposed algorithm, the difference vector, which is employed in mutating each individual by simple differential evolution algorithm, was recorded. Each mutated individual was taken as the center of a neighborhood, the corresponding difference vector as radius.

提出了一种改进的差分演化算法，该算法记录下了差分演化算法在对每个个体进行变异操作时的差向量，然后以被变异的个体作为邻域的中心，以所记录的差向量作为邻域的半径，再在这个邻域内进行一次挖掘式的搜索。

METHODS The partial differential equation is reduced into a set of ordinary differential equations by using finite difference method.

采用有限差分方法，将偏微分方程组约化为常微分方程组。

By using Galerkin's method the partial differential equation is reduced ordinary differential equation with quadratic nonlinearity.

对于非线性运动方程，我们引入了外加强迫力和阻尼对系统的摄动，借助Galerkin方法从非线性偏微分方程得到了含二次非线性的常微分方程。

By using Galerkin's method the partial differential equation is reduced ordinary differential equation with quadratic nonlinearity. The results of qualitative analysis indicate that the system has homoclinic orbit.

定性分析表明，对于前屈曲和后屈曲两种情况，系统的相图具有相同的同宿轨道，只是位置在相平面上沿横轴发生了一个简单的平移。

Listen,point and check your answers.

听，指出并且检查你的答案。

Warming needle is one of effective treatment methods for knee arthralgia aggravated by cold,and it is simple,safety,so it should be developed in clinical acupuncture and moxibustion extensively.

但以本院科针灸门诊在2005年1月—2006年6月期间共收治膝痛患者100余例，经过临床的诊断后，其中施以温针治疗的48例，疗效显著，报道如下。1临床资料本组病例48