first integral
英 [fɜːst ˈɪntɪɡrəl]
美 [fɜːrst ˈɪntɪɡrəl]
初积分
双语例句
- The first integral method used to exact solutions of nonlinear partial differential equation
应用首次积分法求解非线性偏微分方程的精确解 - The approaching state of mean points for the first integral mean value theorem
关于积分中值定理中中间点的进一步估计 - Formula solutions to the first dirichlet's integral
第一类Dirichlet积分的公式解 - By using modulus of functional continuity. A estimates of the asymptotic rate of convergence for "intermediate point" of the first integral mean value theorem and the second integral mean value theorem are given.
利用函数连续模分别给出了第一积分中值定理和第二积分中值定理的中间点收敛速度的一个估计。 - Some conditions on the existence of the first integral are given via the properties of equilibria and limit sets.
利用奇点和有限集的特征，给出了首次积分存在的某些条件。 - However, up to now the research of regularization to the first kind integral equations for plane potential problems has never been found in previous literatures.
然而，至今关于平面位势问题的第一类边界积分方程的规则化研究尚未涉足。 - The author gives the canonical equation of generalized classical mechanics, and then studies its nonsimultaneous variational equations and their solutions, and proves that integral invariant of the system can be constructed by using the first integral.
给出了广义经典力学的正则方程，研究了其非等时变分方程，讨论了它们的解，并证明可由第一积分构造相应的积分不变量。 - The author discusses a class of general of singular boundary value problems by using the first integral method, and the necessary and sufficient condition of positive solutions was obtained.
运用首次积分法讨论了较广泛的一类常微分方程边值问题，得到了正解存在的充要条件。 - A class of inverse problems of perpendicular fault effect are discussed, which are modeled by a first kind integral equation with an analytic kernel.
考虑一类垂直断层效应反演问题，其数学模型是具有解析核的第一类积分方程。 - The method of undetermined coeffcients used to find the first integral of a system of homogeneous linear ordinary differential equations with constant coefficents
求常系数线性齐次微分方程组初积分的待定系数法 - This paper has found general integral formulas of some types of two-order nonlinear ordinary differential equations by first integral.
本文对几类二阶非线性常微分方程，利用首次积分求得了其通积分公式。 - First vertical integral projection curve is used to acquire face's left and right boundaries, which is followed by the use of horizontal integral projection curve to fix eyes 'approximate horizontal position.
算法首先利用人脸的垂直积分投影曲线获得人脸的左右边界，然后利用水平积分投影曲线获得人眼所处的大致水平位置，进而裁剪出这个包含人眼的大致区域。 - The quadratic system in space with a first integral of quadratic cylinder is discussed.
继续讨论以二次柱面为首次积分的空间二次系统。 - For calculation of the double integration on the boundary, the analytical formula of the first integral is deduced in detail with linear basic function, and a Gauss integration formula is used in the second integral.
本文则采用线性基函数，详细推导了在线性单元上二重积分第一重积分的解析公式，第二重积分使用Gauss数值积分。 - Using variable upper limit integration and Lagrange mean value theorem, this article proves the first mean value theorem under the same condition and give several spread of the first integral mean value theorem.
在条件完全相同的情况下改进积分第一中值定理，并利用变上限积分函数和拉格郎日中值定理证明该定理，并给出积分第一中值定理的几个推广。 - This paper proposed a pole placement control method for industrial robot. This control method has following adcantages: First, its integral effect eliminates minor disturbances and steady errors;
本文为工业机器人提出了一种极点配置控制法.这种控制方法的优点有：一是它的积分作用消除了机器人的微小扰动和稳态误差； - Firstly, based on the Routh equation of the relative motion of nonlinear nonholonomic system gives the first integral of the system.
首先，由这种相对运动的Routh方程给出系统的第一积分； - The kernel in the first kind integral equation arising from exterior Dirichlet problem of Helmholtz equation has a logarithmic singularity.
通过Helmholtz方程外Dirichlet问题产生的第一类积分方程的核具有对数奇性。 - : In this paper, we first establish integral representation of the remainder of Hermite trigonometric interpolation, then the problem of convergence for the process of Hermite trigonometric interpolation is discussed and the error estimate of the remainder is given.
文章首先讨论了Hermite三角插值余项的积分表示式，然后讨论了Hermite三角插值多项式的收敛性，并给出了余项误差估计。 - Solving nonsimultaneous variational equations of relativistic autonomous birkhoff systems by using its first integral
利用相对论性自治Birkhoff系统的第一积分求非等时变分方程的特解 - The ill posed problem can be converted into the first Fredholm integral equation; and an algorithm of inversion is given using the Tikhonov's regularization method.
把此反问题转化为第一类Fredholm积分方程，并利用Tikhonov正则化方法给出了一种反演算法。 - First Integral and Stability of Motion in the Critical Cases
首次积分与临界情形运动稳定性 - First we apply Green's functions in special solution, simplifying the second order problems to the first order integral formulation, then we deal with its numerical solution by the compound trapezoidal formula.
利用Green函数来求特解形式，把原来的二阶微分方程简化成一次积分形式，再由复化梯形公式求积法进行数值求解。 - Thirdly, derives canonical equation and variation equation and by using the first integral constructs integral invariant.
再次，建立这类系统运动的正则方程和变分方程，并由第一积分构造系统的积分不变量； - This control method has fol-lowing advantages: First, its integral effect eliminates minor disturbances and steady errors;
这种控制方法的优点：一是它的积分作用消除了机器人的微小扰动和稳态误差； - Two new types of construction of the first integral for holonomic non-conservative systems are presented, using respectively the continuous infinitesimal transformation and the variational principles of mechanical systems.
应用连续无穷小变换结合力学变分原理给出完整非保守系统首次积分的两个新型构造方法。一是基于相空间的首次积分构造法，二是基于位形空间的较简便的首次积分构造法。 - First, integral structure design of equipment is discussed, made the detailed design to the mechanical part and the control system.
论文首先对该设备的总体结构进行了分析，重点介绍了设备的机械结构部分和控制系统部分。 - A path-dependant term is present in this energy expression. The integration path for this term is identical to the integration path of the transient energy constructed by first integral.
该式表示的能量函数中含有路径相关项，它的积分路径与首积分法构造的能量函数的积分路径相同。 - To prove the sufficiency, we not only construct a first integral by using invariant curves and its cofactor as others did, but also take the method of constructing a polynomial series as a first integral and even a special method to study some special case.
在充分性的证明中，我们不止用到了常规的由不变曲线及其余因子构造首次积分的方法，还用到了构造级数形式的首次积分的递归方法和一种处理特殊情形的特殊方法。 - According to the equation, the stability of the system is analyzed with Lyapunov direct method and a kind of Lyapunov function for the system with first integral method.
据此，应用李雅普诺夫直接法分析了系统稳定性。根据上述摇摆方程，采用首次积分法得到了一种系统的李雅普诺夫函数，并指出了这种方法的局限性。