查询词典 differential calculus

Around the finite solution problem of fuzzy differential equation, the fuzzy structure element method is put forward about the calculation of fuzzy analysis, and this method is applied to systematically study many problems such as formulation of fuzzy-valued function, difference of fuzzy-valued function, integration of fuzzy-valued function under the Riemann meaning, and the solution structure of fuzzy differential equation etc..

围绕模糊微分方程定解问题，提出了模糊分析计算的模糊结构元方法，并利用模糊结构元的方法对模糊值函数的表述问题、模糊值函数的微分、黎曼意义下的模糊值函数积分以及模糊微分方程的解的结构等问题，进行了深入系统的研究。

Firstly,using the method of concentrate mass this paper establish a non-linear dynamics model of a two-stage gear train with backlashe between the gear pair,and through analysed the dynamics model,the torsional motion differential equations are got , on this basis,then calculate the torsional motion differential equations using Runge—Kutta method ,and discuss how to influence the dynamics characteristic of system when these parameters chage such as mesh frequentcies、 stiffness of the intermediate shaft、the ration of mesh frequentcies.and discuss when the chaos will happen under the change of these parameters.

首先用集中质量法建立系统的含间隙的非线性动力学模型，并根据牛顿力学定理，得到系统的运动微分方程。然后对所建立的运动微分方程运用四阶变步长Runge—Kutta方法进行了求解，并对计算结果进行分析，研究了齿轮啮合频率、中间联接轴的刚度，一、二级齿轮的啮合频率比等参数变化时，对系统非线性动力学特性的影响规律，并讨论了当参数如何变化时会导致系统的混沌响应的出现。

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

We have successfully practiced fluorescent differential display technique in our lab. It is a fast, safe and cost-effecti ve method used to sereen unknown expressed genes.KEY WORDS: differential display; RNA; messenger ; fluorescence

在本试 验室成功应用了荧光标记差异显示技术，可快速、敏感、经济有效地筛选各种未知的表达基因。

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。

The numerical calculation commonly used for the Delphi process more than 100, including solutions of linear algebraic equations, interpolation, numerical integration, special, function approximation, eigenvalue problems, data fitting equation Root and solve nonlinear equations, functions and the extreme optimization, statistical data description, Fourier transform spectra, solution of ordinary differential equations reconciliation partial differential equations.

本书共有数值计算中常用的Delphi子过程100多个，内容包括解线性代数方程组、插值、数值积分、特殊函数、函数逼近、特征值问题、数据拟合、方程求根和非线性方程组求解、函数的极值和最优化、数据的统计描述、傅里叶变换谱方法、解常微分方程组和解偏微分方程组。

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