查询词典 ordinary differential equation

An optical system with refraction and total internal reflection was proposed according to the luminous characteristic of LED and the law of energy conservation. The ordinary differential equations satisfying the spots on the contour curve of TIR refractive and reflective planes were established. The coordinates of points on profile curves were obtained by solving these ordinary differential equations using Runge-Kutta method. The profile curves were acquired by curve fitting of the coordinate spots with software UG, and then TIR model of the projector and data of the surface shape suitable for NC manufacture were obtained.

根据LED的发光特性以及能量守恒定律选择采用折射全反射光学系统，通过建立TIR折射面及全反射面轮廓曲线上的点所满足的常微分方程，利用RungeKutta求解常微分方程得到轮廓曲线上点的坐标，再在UG中对坐标点进行曲线拟合得到轮廓曲线，进而得到TIR模型及适合数控加工的面形数据。

The derivative 〓 t, x (t of the V function along a solution to a determinate ordinary differential system is changed to be 〓V t, x (t for a stochastic ordinary differential system.

众所周知，用Lyapunov直接法来研究随机常微系统的稳定性与研究确定性常微系统的稳定性有许多类似之处，表现在只需要用〓Vt，x(t代替常微系统中V函数沿解的导数〓t，x

This thesis first proposes the idea of EM in view of the drawbacks existing in traditional modeling methods. The main approaches and the general procedure of EM are described and the recent work of GP is surveyed using a taxonomy. Secondly, in terms of model types, the EM problem of complex functions, the EM problem of system of ordinary differential equations and the EM problem of higher-order ordinary differential equations are studied in detail. Finally, some advantages and disadvantages of the EM method are summarized at the end of this thesis.

本文首先针对传统建模方法的不足，提出了演化建模的思想，阐述了演化建模采用的主要方法和一般步骤，并分类概括了遗传程序设计目前的研究内容；然后，按照所建模型的类型不同，分三章详细研究了复杂函数的演化建模问题、常微分方程组的演化建模问题以及高阶常微分方程的演化建模问题；最后，本文对演化建模的主要特点和目前存在的主要问题作了概括和总结。

This course offers advanced topics for students who have learned ordinary differential equations. The course includes linear algebra which has topics as matrices, linear systems of equations, eigenvalue problems, vector differential and integral calculus. Fourier series, orthogonal functions, Fourier transforms and partial differential equations will also be introduced.

本课程为提供已有常微分方程式基础的同学修习，内容包括线性代数，矩阵运算，特徵值问题，向量的微分与积分，一阶线性微分方程组，傅力叶级数和正交函数，傅力叶转换，并将对椭圆，抛物线，双曲线型式的偏微分方程式作概略介绍。

In studing methods,partial func-tional differential equations sum up the theories and methods of ordinary differentialequations,partial differential equations,the semigroup theory and the fixed-pointtheory in functional analysis and the basic concepts,theories and methods suit-able for the partial differential equations with delay are formed.

偏泛函微分方程在研究方法上综合了常微分方程的理论方法和泛函分析中算子半群、不动点理论以及偏微分方程的理论方法，并形成了以时滞为基本特征的泛函微分方程的基本概念、理论和方法。

By the natural and harmonious relationship between differential forms and differential equations and between differential forms and vector analysis, we discuss the properties, which are covariant under the transformation of coordinates in the framework of differential forms, of particle motion in a central force field .

通过微分形式与微分方程和向量分析之间存在的自然而协调的关系，在微分形式框架下讨论了质点在有心力场中运动的特性并得出在坐标变换下其均是协变的

this paper proposes a design method which can improve the performance of fractional order differential filter obviously under the premise of not increasing the structure complexity of the filter.this scheme which bases on mutually compensatory characters of typical differentiator and uses interpolated method to improve performance of iir digital fractional differential filter.the improved frequency response of fractional differential filter is more close to ideal fractional differential filter,it indicates the validity of proposed method.

摘 要：提出一种在不增加分数阶微分滤波器复杂度的前提下，能有效提高分数阶微分滤波器性能的方法。该方法利用几种基于典型微分算子的分数阶微分滤波器之间的互补性，通过相互内插结合的方式，用于提高iir分数阶数字滤波器的性能。改进后的分数阶微分滤波器频率响应更接近理想分数阶微分滤波器，表明所提方法的有效性。

Parameter RESOLUTION Offset Error Gain Error Differential Nonlinearity Integral Nonlinearity TEMPERATURE DRIFT Offset Error Gain Error POWER SUPPLY REJECTION RATIO ANALOG INPUTS1 Differential Input Voltage Range Differential Input Resistance Differential Input Capacitance Input Bandwidth VSWR 2 POWER SUPPLY 3 Supply Current IAVCC (AVCC = 5.0 V) IEVCC (EVCC = 3.3 V) IVDD (VDD = 3.3 V) Total Power Dissipation 4

参数解决方案偏移误差增益误差微分非线性积分非线性温度漂移偏移误差增益误差电源抑制比1模拟输入；差分输入电压范围差分输入电阻电容输入带宽差分输入电压驻波比2电源3电源电流IAVCC（AVCC = 5.0五）IEVCC（EVCC = 3.3伏） IVDD（VDD的= 3.3伏）总功率耗散4

By employing the local Lipschitz condition and Picard sequence, the local existence-uniqueness of solutions of stochastic functional differential equations of Ito-type is firstly obtained. Furthermore, a continuation theorem for stochastic functional differential equations of Ito-type is given by using stochastic analysis technique and the quasi-boundedness condition. Finally, by establishing some delay differential inequalities and using properties of H_m-functions, a stochastic version of Wintner theorem and the global existence-uniqueness of solutions of stochastic functional differential equations of Ito-type are given. The results generalize the earlier publications.

首先，利用局部Lipschitz条件和Picard序列，获得了伊藤随机泛函微分方程解的局部存在唯一性；其次，利用随机分析技巧和拟有界条件，建立了伊藤随机泛函微分方程解的延拓定理；最后，通过建立一些时滞微分不等式和利用H_m-函数的特性，得到了Wintner定理的随机版本和伊藤随机泛函微分方程解的全局存在唯一性，推广了已有的一些结果。

Scatter diagram of the morphological differential value and molecular differential value shows plants molecular differential value≥2 are heterotipe. The correlation coefficient of the morpha uniformity ratio and molecule uniformity ratio is 0.98, extreme correlation. So the heterotipe criterion of the molecular differential value≥2 is made.

通过对14个品种278个株的形态差异值和分子差异值的散点图分析，得出形态差异值≥2为异型株；由形态一致性比率和分子一致性比率的相关性系数为0.98，相关极显著，确定分子差异值≥2作为判定异型株的标准。

"Yes, now you can give yourself airs," she said, you have got what you wanted.

"对了，您现在高兴了，"她说道，这是您所期待的。

Then the LORD said to me: Rebel Israel is inwardly more just than traitorous Judah.

上主于是对我说：＂失节的以色列比失信的犹大，更显得正义。