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The paper draws linear unusual differential equation a_0y~(n+a_1y~(n-1+…+a_(n-1)y′+α_ny=∑mi=0k_iδ~(i from the practical problems in the engineering field of electronic technology,circuit analysis,mechanics of materials,mechanical design and civil architecture,discusses the dependence of the solution of the equation on that of homogeneous,gives the algorithm of the equation,and draws the general algorithm of semi-odd number rank unusual Bessel differential equation.

在电子技术、电路分析、材料力学、机械设计和土木建筑等工程技术领域中,常会遇到一类非齐次项为奇异函数的广义线性微分方程,本文给出这类奇异微分方程的解对齐次解的依赖性,从而得出这类奇异微分方程的解法,求出了半奇数阶奇异Bessel微分方程的通解。如下列应用问题中的微分方

By transforming the interlace series type linear differential equation with coefficient containing binomial coefficients and arrangement number into the linear differential equation of successive integral,the theory and method for solving this kind of equation are determined.

通过把系数含有二项式系数与排列数的交错级数型线性微分方程化为可逐次积分的线性微分方程,找出了求这类方程通解的方法与理论,把所得定理给出了严格的证明,并通过实例介绍了它的应用。

The boundary value problem of ordinary differential equations is an important domain in differential equations.

常微分方程的边值问题是微分方程的一个重要研究领域。

The ordinary differential equation singular boundary value problem is one of the most important branches of ordinary differential equations.

常微分方程边值问题是常微分方程理论研究中最为重要的课题之一。

At the same time, the variational stability of bounded variation solutions at the effect of perturbation and non-perturbation for the impulsive differential system are discussed, the Ljapunov type theorems for variational stability and asymptotically variational stability for impulsive differential systems are established.

同时,讨论了在无扰动和有扰动的情况下,这类固定时刻脉冲微分方程有界变差解的变筹稳定性,建立了此类微分系统有界变差解变差稳定性和渐近变界稳定性的两个Ljapunov型定理。

Major research work and conclusions are summarized as follows:1 The development of molecular distillation are reviewed in respect of the principle, model research and application; The technical and structure parameters are analyzed with respect to the evaporation rate and separation factor.2 Based on analysis of heat transfer and mass transfer process in WFMD, the discretization forms of bow wave ordinary differential equations and film partial differential equations are obtained with Runge-Kutta method and finite difference method respectively.

主要工作与研究结果如下: 1 综述分子蒸馏技术的应用及其发展现状,从分子蒸馏技术的原理、模型研究及其应用的发展等进行了系统评述;并结合蒸发速率和分离效率这两个评价分子蒸馏效果的重要指标,对刮膜分子蒸馏器工艺参数与结构参数进行了分析与讨论。

The result shows that, with less effect on differential performance, surge amplitude, and decay rate of the surge tank, the arrangement of interconnecting holes at rational positions with proper sizes can effectively decrease the differential pressure on breast wall (from over 30 m down to 20 m below) and ensure the safe operation of the surge tank, and it is beneficial to gate control.

结果表明,在保证了调压室的差动性能、涌浪幅度和衰减速度的同时,在胸墙上设置位置和尺寸合理的连通孔,可以有效降低胸墙结构承受的压差,由超过30m的较大压差降低至20m以下,保证调压室的安全稳定运行,且有利于闸门的控制。

It had been proved that the bulkiness of the differential shrinkage filaments air-jet textured yarn could be controlled effectually by the different filament or multi-filament linear density,as well as the air-jet texturing and differential shrinkage parameters.

结果显示,异收缩空气变形纱的膨松度可以通过选择单、复丝的线密度、空气变形加工和异收缩变形加工工艺参数的方法加以有效控制。

The work principle of differential transformer was introduced in the paper, and the influence of power supply frequency on output characteristic of differential transformer was analyzed in theory calculating the equivalent circuit under the ideal state, and the experiment was done.

引言差动变压器式传感器是根据变压器的基本原理,把被测的非电量变化转换为线圈互感变化的传感器。在非电量测量中,应用最多的是三节式螺线管差动变压器。

Providing also a self-contained presentation of classical isoperimetric inequalities for eigenvalues and 30 open problems, this book will be useful for pure and applied mathematicians, particularly those interested in partial differential equations, the calculus of variations, differential geometry, or spectral theory.

为eigenvalues和30个开放式问题也提供古典isoperimetric 不平等的拘谨的赠送,这本书将是对纯并且被使用数学家有用的,特别是对偏微分方程,变分法,不同几何学或者光谱的理论感兴趣的那些。

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推荐网络例句

Article 144 The Government of the Hong Kong Special Administrative Region shall maintain the policy previously practised in Hong Kong in respect of subventions for non-governmental organizations in fields such as education, medicine and health, culture, art, recreation, sports, social welfare and social

第一百四十四条香港特别行政区政府保持原在香港实行的对教育、医疗卫生、文化、艺术、康乐、体育、社会福利、社会工作等方面的民间团体机构的资助政策。原在香港各资助机构任职的人员均可根据原有制度继续受聘。

Small wonder, then, that the Chinese spend more in the shop than any other group of foreign visitors do .

这样的小惊喜,使中国顾客比任何国家的人消费得更多。

A heavy dark cloud presaging rain or a storm .

预兆雨或暴风雨的沉重的黑云。