查询词典 differential method

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。

Fractal dimension structure of the Cosmos are explored, and the mathematical foundation, which include the expressions of fractal dimension differential and calculus, regular space integral solutions of fractal dimension differential equations, the fractal calculus definitions of fractal measure as well as the measure computational equation of self-similar fractal, of fractal dimension calculus and fractal measure are given.

摘 要：探讨了宇宙分维构造的形式，给出了分维微积分及分形测度的数学基础，包括分维导数及分维微积分的表述形式、分维微分方程的规整空间积分解、分形测度的分维微积分定义及自相似分形的测度计算方程。

In addition, making use of the complete calculation of internal faults, some merits, such as scientifically setting the new scalar product restraint differential protection, exactly selecting the type of current transformer for zero-sequence current transverse differential protection and accurately understanding the backup impedance protection, are acquired at the same time. And these achievements contribute to the realization of the above quantitative design.

另外，通过全面的内部故障仿真计算，实现了新型差动保护方案动作特性的科学整定、零序电流型横差保护用TA的准确选型以及对后备阻抗保护性能的正确认识等，而这些工作的完成又是定量化设计成果得以实现的有力保证。

Based on the given results of second order boundary value problem, the existence of solutions of nonlinear differential-difference equation and unique of solutions of Hammerstein type integro-differential-difference linear equation were established because Hammerstein linear equation featured only one solution.

以二阶边值问题的已知结果为基础，建立了微分差分非线性方程解的存在性，以及Hammerstein型线性方程解的唯一性。

Neutral equation; stochastic functional differential equation; stochastic differential equation with delay; infinite delay; asymptotic propertie; semimartingale convergence theorem; Markovian switching; moment stability; moment boundedness

基础科学，数学，概率论、数理统计中立型方程；随机泛函微分方程；随机延迟微分方程；无限时滞；渐近性质；半鞅收敛定理； Markov调制；矩稳定性；矩有界性

The gels were stained with silver, and the differential protein expressions were analyzed with Melanine 3 software. Results The protein spots of the two cell lines were 1285±51 and 1184±47 (SW480) respectively, containing 96±7 differential protein spots with 50±6 expressed or obviously increased only in LST cell line and 47±5 in SW480 cell line.

结果 LST和SW480细胞株双向电泳图谱蛋白质点数分别为1285±51和1184±47，共获得96±7的蛋白质差异点，其中50±6个点仅在LST细胞株中表达或表达明显增强，47±5个点仅在SW80细胞中表达或表达明显增强。

Based on the existence condition of the solution for singular ordinary differential systems,the existence condition of the solution of the degenerate neutral differential system as well as the general solution are obtained by defining the solvable matrix pair and fundamental solution and using Laplace transformation.

讨论了对于退化矩阵E不是方阵情形的一般退化中立型微分系统的解，基于退化的常微分系统解的存在性条件，通过定义可解阵对和基础解以及利用拉普拉斯变换，给出了一般退化中立型微分系统解的存在性条件以及通解表达式。

Under the assumption that a differential Riccati equation is solvable, an exponential reduced-order observer is developed by means of coordinate transformation and the gain matrix of the proposed observer depends on the solution of the differential equation.

在一微分Riccati方程有正定解的前提下，通过坐标变换方法对该类系统提出了一种指数型降维观测器设计方法，该观测器的增益矩阵取决于微分Riccati方程的正定解。

In the days of sailing vessels the crew were afraid they would be becalmed on the ocean.

在使用帆船的时代，船员们担心他们会因为无风而无法在海洋上航行。

As long as foreign donors pay the PA's salary bill, few expect a new intifada.

只要外国继续为巴权力机构的薪水买单，希望发动新暴动的人便寥寥无几。