查询词典 differential coefficient

In this paper, the adjointness of the product of two differential operators generated by a third order normal and singular symmetric differential expression in the limit-circle case is discussed. The necessary and sufficient conditions which make the product operators being the adjoint operators obtained by the matrix analysis and calculation. At the same time, the adjointness of the product of the power and adjointness operator obtained.

本文首先讨论了正则和奇异两种情况下两个极限圆型三阶对称微分算式生成的微分算子的乘积的自共轭性，运用矩阵分析和计算，得到了乘积算子为自共轭算子时边界应满足的充分必要条件，同时得到了幂算子的自共轭性、自共轭算子乘积的自共轭性等乘积算子的其它若干性质。

Because of error by dispersing albinism differential equation, the response of difference equation is changed relative to differential equation.

由于离散化引入了误差导致白化微分方程和差分方程的响应发生了变化。

Main contributions and achievements are as follows:A general non-equilibrium rigorous model for RDP is developed in this thesis. Based on the pseudo-homogenous assumption, two main factors reaction and separation are de-coupled, and an RDP model with the same format as that for a traditional distillation process is established. To solve the model with a large number of algebraic equations, modified M-K equations with tri-diagonal matrix form are developed based on the improved Separation Efficiency Functions, which greatly increases the iteration efficiency. This thesis also develops a general reactive distillation dynamic model. Through splitting of the differential variables based on SEFS, large-scaled differential algebraic equations can be solved with the improved Gear's algorithm which makes the dynamic model suitable for the on-line application. A simulation platform for the control loop design and evaluation of RDP by introducing control system equations into the dynamic model is also developed.A lactic acid purification pilot-scale RDP is investigated.

论文对热点问题——反应精馏过程的建模与优化控制相关技术进行了深入的研究，取得了一系列成果：1、建立了反应精馏过程机理模型，基于拟均相假设，将反应和分离过程进行解耦，推导出反应精馏过程的非平衡级稳态模型和动态模型，通过引入推广的分离效率函数，对模型变量进行了合理划分，显著提高了模型求解效率；将动态模型和控制系统方程结合，建立了反应精馏过程控制系统研究的辅助工具。2、全面分析了乳酸提纯反应精馏新工艺试验装置，利用本文建立的过程机理模型，对该试验装置进行了稳态和动态性能分析及水力学核算；设计和分析了单边质量控制方案，比较了间接和直接物料平衡控制两种方案的控制性能。

The finite difference is used to approximate differential operation; the reflectance map equation described by the first order nonlinear differential equation is transformed into an algebraic equation about the unknown surface heights, and then the objective equation is constructed by the reflectance map equation and gradient information of image. Moreover, the Newton iterative algorithm is utilized to obtain the numerical solution and 3D shape of the surface.

采用有限差分近似微分运算，将一阶非线性微分方程所描述的反射图方程转化为关于未知表面高度的代数方程，再由反射图方程和图像梯度信息构造目标方程，进而用Newton迭代算法求出该方程的数值解，得到表面三维形状。

Based on the theory, the differential geometry of statistical model proposed by Amari is generalized from probability space to Sugeno measure space, and a new notion of fuzzy manifold based on Sugeno measure is proposed, including the fundamental differential-geometrical structures of statistical models, the tangent space, and the Riemannian metric in a fuzzy manifold.

第四章介绍了Sugeno测度空间上随机变量的数字特征，在此基础上将学者Amari提出的统计流形从概率测度空间推广到Sugeno测度空间，提出了一种基于Sugeno测度的模糊流形分析方法，包括Sugeno模糊模型的基本微分几何结构，模糊流形中的切空间、黎曼度量。

Firstly, based on the characteristics of Vision-Based Remote Brainless SoccerRobot System, a kind of centralized-distributed soccer robot decision-making controlstructure is put forward by a high level decision module processing centralizeddecision-making and robot agent can respond to the environment under high-leveldecision module coaching, while acting autonomously. Secondly, the differential drive mobile robot kinematics model is set up and amotion control algorithm is developed, which allows a general differential-drivenmobile robot to accurately reach a target point with a desired orientation in anenvironment with multiple moving obstacles.

本文首先针对基于全局视觉的足球机器人系统的特点，综合人工智能自上而下和自下而上两种研究方法，提出了一种混合式足球机器人决策结构，即通过一个全局性高层决策模块来决定机器人团队当前队形、战术以及智能体与角色间的映射关系，然后将高层决策结果通知各个队员智能体；队员智能体根据高层决策模块的指示及自己的知识进行反应式的思考和行动。

The instruments used ATmega16L onboard A / D converter channels to achieve the cold wind pressure, the hot blast pressure, the furnace top pressure and cold wind current capacity four way analog acquisition;used PWM waveform produced by ATmega16L internal timing / Counter to achieve the entire differential pressure ,the cold wind flow and the permeability index three-way analog output for recording instruments; realized the cold wind pressure, the hot blast pressure, the furnace top pressure, the cold wind current capacity and the entire differential pressure five group parameter tour demonstration and the fixed-point demonstration by key-elect key's coordination during demonstration blast furnace permeable index; produced acousto-optics alarm when the permeable index across the upper and lower limits;used RS-485 realizing the communication with the superior computer.

仪表利用ATmega16L自带的A/D转换通道实现对冷风压力、热风压力、炉顶压力及冷风流量四路模拟信号的采集；通过ATmega16L内部的定时/计数器产生的PWM波形来实现对全压差、冷风流量及透气性指数三路模拟量输出供记录仪表使用；通过键选键的配合在显示高炉透气性指数的同时实现冷风压力、热风压力、炉顶压力、冷风流量及全压差五路参数的巡回显示与定点显示；当高炉透气性指数越上、下限时，仪表产生声光报警信号；仪表采用RS-485与上位机实现通信。

With the publication of the Dai Wei Ji Shi Ji, a translation of Loomis' textbook Elements of Analytical Geometry and of the Differential and Integral Calculus (1851), in 1859, the differential and integral calculus was introduced into China.

19世纪后期是中国数学由传统向近现代转化的一个重要时期，微积分是近代数学乃至大部分自然科学的最基础的理论，这个理论是从1859年出版的译著《代微积拾级》中介绍到中国来的。

Key words: partial differential equation; Lewy equation; real analytical; infinitely differential solution; compactly supported set

引用格 式：吴小庆。Lewy方程的无穷可微解。中国科技论文在线精品论文，2010，3(1)：19～27。

Abstract］ objective to study the pathological features and histopathological type and differential diagnosis of hepatic focal nodular hyperplasia.methods the clinicopathological characteristics of 40 cases of fnh were studied.all were evaluted by use of paraffin embedded sections and he staining before light microcope observation.results there were 28 females and 12 males fnh patients whose age were from 16 to 62 years（median 41.3）,all alpha-fetoprotein was negative and had no hepatitis history.25 cases were classic type showed characteristic central stellate fibrotic scar,composed of fibrous connestive tissue and tortuous blood vessels.8 cases were telangiectic type,the left were mixed type and adenomatoid type.conclusion fnh is a reactive proliferation of hepatic cells to local blood vessel anomalies,it is not realy a tumor.its differential diagnosis includes hepatic adenomatous hyperplasia nodule,hepatic anaplasia nodular hyperplasia,fibrolamellar hepatocellular carcinoma and hepatocellular adenoma.

目的 探讨肝局灶性结节性增生的病理形态特点、组织分型及鉴别诊断。方法分析40例肝局灶性结节性增生的临床资料，并采用石蜡包埋he染色光镜下观察其组织学特点。结果 40例肝局灶性结节性增生患者中，女28例，男12例，年龄18~62岁，平均年龄41.3岁，所有病例术前均无肝炎病史，甲胎蛋白阴性，组织学上25例为经典型，有特征性的中央纤维瘢痕，由纤维结缔组织及扭曲血管组成。8例为毛细血管扩张型，其余为混合型及腺瘤样增生型。结论肝结节性增生是一种肝细胞对局部血管的异常反应性增生，并非真性肿瘤，主要与肝腺瘤样增生性结节、肝间变性结节状增生、肝纤维板层癌及肝细胞腺瘤鉴别。

Salt is good, but if the salt becomes flat and tasteless, with what do you season it?

14：33 盐本是好的，盐若失了味，可用什么叫它再咸呢？

He reiterated that the PLA is an army of the people under the leadership of the Communist Party of China.

他重申，人民解放军是在中国共产党领导下的人民军队。