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  differential
    Differential Quadrature Method for Viscous/Viscoelastic Fluid Flow and Heat Transfer Problems
    粘性/粘弹性流体流动和热迁移问题的微分求积法
短句来源
    DIFFERENTIAL EQUATIONS OF EQUILIBRIUM ALONG ISOCHROMATICS AND ITS APPLICATION TO PHOTOELASTICITY
    沿等色线的平衡微分方程及其在光弹性问题中的应用
短句来源
    SUBSPACE ITERATION FOR THE EIGENVALUE PROBLEMS OF SELF-ADJOINT DIFFERENTIAL EQUATIONS AND ITS APPLICATIONS IN THE VIBRATION ANALYSIS OF STRUCTURES
    自伴微分方程特征值问题的子空间迭代法及其在结构振动分析中的应用
短句来源
    A METHOD FOR FINDING THE SUB/SUPER HARMONIC RESONANCE SOLUTION OF SECOND ORDER NONLINEAR DIFFERENTIAL EQUATION AND ITS APPLICATION
    二阶非线性微分方程亚/超谐共振的一种求解方法及其应用研究
短句来源
    Unification of Governing Differential Equations for Beams with Thin Walled Open and Closed Cross-Sections and It's Finite Element Analysis
    开口和闭口薄壁杆件基本微分方程的统一和它的有限元分析
短句来源
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  differentiation
    THE EXPANSIONS OF VISCOUS TERMS IN THE BASIC AERODYNAMIC EQUATIONS IN NON-ORTHOGONAL CURVILINEAR COORDINATE AND METHOD OF THEIR NUMERICAL DIFFERENTIATION
    气动力学基本方程中的粘性项在非正交曲线座标系中的展开式及其数值微分方法
短句来源
    The Direct Differentiation Method for Sensitivity Analysis of Multibody System Dynamics
    多体系统动力学设计灵敏度分析的直接微分方法
短句来源
    For the integrals in domain resulted from the plastic deformation, the convected differentiation concept of singular integral by Mikhlin is adopted to analyze the kind of singularity, and the free term induced by the strong singularity in domain is introduced with analytical expressions.
    针对这些公式中由于塑性变形影响而产生的域内积分项,通过Mikhlin奇异积分的随体微分原理分析了域内奇异积分的性质,并给出了内点应力公式中由于域内强奇异而形成的自由项的解析表达式。
短句来源
    By introducing an infinitesimal generator for the relativistic Birkhoff system and based on the invariance of the differentiation variation principle under the infinitesimal transformations,the Noether theorem and Noether inverse theorem of the relativistic Birkhoff system are obtained.
    定义相对论Birkhoff系统的无限小变换生成元 ,根据在无限小变换下微分变分原理的不变性 ,得到相对论Birkhoff系统的Noether定理和Noether逆定理 .
短句来源
    Based on the direct differentiation approach, the incremental boundary integral equations and the related algorithms for both geometric and elastic-viscoplastic sensitivity analysis are developed.
    (2) 导出了弹粘塑性灵敏度分析的各个参变量的灵敏度公式和径向返回灵敏度算法,利用直接微分方法,建立了用于设计灵敏度分析的弹粘塑性边界元增量方程。
短句来源
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  the differential
    The Research and Analysis on the Effect of the Transient Heating of the Nuclear Power Station Pump under Thermal Shock Part I: The Foundation And Analysis of the Differential Control Equation for the Thermoelashcity Problem
    核电水泵在热冲击下瞬态热效应的研究和分析──PartⅠ热弹性问题微分控制方程的建立和分析
短句来源
    The differential quadrature approach suggested by Wang and Bert is extended to handle the high-order moment boundary conditions of plates, too.
    同时,推广Wang和Bert处理边界条件的方法(简称为DQWB途径)来处理这类问题中所包括的高阶矩的边界条件。 给出了推广的微分求积算法的一般格式。
短句来源
    Based on the concept of partial acceleration, a general method for obtaining the differential equations governing the motions of a class of nonholonomic systems is presented.
    基于偏加速度概念,给出建立一类非完整动力学系统运动微分方程的一般方法。
短句来源
    Two methods of solution,one by the differential calculus and the other by the resolution of velocity,are introduced and compared; the third method,starting from the concept of work and energy,is provided and analysed; finally,the fourth method,which is a method of geometry,is described.
    讨论了用绳拉船靠岸的速度,介绍和比较了两种求解方法:微分求导数和速度合成与分解法,提供并较详细分析了第三种求解方法:作功和能量方法,阐述了第四种求解方法:几何学方法,提出了两个值得认真思考和讨论的问题
短句来源
    The d'Alembert principle and the differential equations of motion of relativistic rotational variable mass system are given.
    给出相对论性转动变质量系统的d’Alembert原理和运动微分方程 .
短句来源
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  ordinary differential
    APPLICATION OF THE QUANTITATIVE THEORY OF ORDINARY DIFFERENTIAL EQUATIONS TO ANALYZING A DYNAMIC CRACK TIP-FIELD
    常微分方程定性理论在动态裂纹尖端场分析中的应用
短句来源
    SENSITIVITY ANALYSIS BASED ON ORDINARY DIFFERENTIAL EQUATIONS OF MOTION IN MULTIBODY SYSTEM DYNAMICS
    基于常微分方程数学模型的多体系统动力学设计灵敏度分析方法
短句来源
    ADJOINT VARIABLE METHOD FOR DESIGN SENSITIVITY ANALYSIS OF MULTIBODY SYSTEM DYNAMICS DESCRIBED BY ORDINARY DIFFERENTIAL EQUATIONS
    基于二阶常微分方程的多体系统动力学设计灵敏度分析的伴随变量方法
短句来源
    The Poincaré Chetaev equations of the mechanical systems were established, and the invariance of the ordinary differential equations under the infinitesimal transformations was used to study the Lie symmetries of the equations. The determining equations, the supplement restriction equations, the structure equation and the form of conserved quantities were obtained.
    建立力学系统 Poincaré- Chetaev方程 ,利用常微分方程在无限小变换下的不变性质研究它的 Lie对称性 ,得到确定方程、附加限制方程、结构方程和守恒量的形式 .
短句来源
    Using theories of ordinary differential equation and mathematical transformations,the nonresonant of the dynamometer are obtained.
    根据常微分方程理论 ,得到了不同形式运动微分方程非共振情况的级数形式解
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  differential
In our paper [KR] we began a systematic study of representations of the universal central extension[InlineEquation not available: see fulltext.] of the Lie algebra of differential operators on the circle.
      
We express them in terms of generatorsEij ofU(gl(n)) and as differential operators on the space of matrices These expressions are a direct generalization of the classical Capelli identities.
      
Quantum integrable systems and differential Galois theory
      
This paper is devoted to a systematic study of quantum completely integrable systems (i.e., complete systems of commuting differential operators) from the point of view of algebraic geometry.
      
In particular, we show that the differential Galois group of this eigenvalue problem is reductive at generic eigenvalues.
      
更多          
  differentiation
Of special interest are the Mellin operators of differentiation and integration, more correctly of anti-differentiation, enabling one to establish the fundamental theorem of the differential and integral calculus in the Mellin frame.
      
There are reverse inequalities for square functions of differences arising in ergodic theory and differentiation of functions.
      
Prolate Spheroidal Wavelets: Translation, Convolution, and Differentiation Made Easy
      
We extend the results by Jones and Rosenblatt about the series of the differences of differentiation operators along lacunary sequences to BMO and to the setting of weighted Lp spaces.
      
A nonlinear proportion integration differentiation (PID) controller is proposed on the basis of recurrent neural networks, due to the difficulty of tuning the parameters of conventional PID controller.
      
更多          
  the differential
In particular, we show that the differential Galois group of this eigenvalue problem is reductive at generic eigenvalues.
      
This implies that a system is algebraically integrable (i.e., its eigenvalue problem is explicitly solvable in quadratures) if and only if the differential Galois group is commutative for generic eigenvalues.
      
Of special interest are the Mellin operators of differentiation and integration, more correctly of anti-differentiation, enabling one to establish the fundamental theorem of the differential and integral calculus in the Mellin frame.
      
It is shown that there is a similar identity when the inner product is replaced by an indefinite quadratic formq and h is a Л-harmonic distribution, where Л is the differential operator canonically associated toq.
      
The minimum energy solutions of the differential equations are proven to correspond to the tight frames that minimize the error term.
      
更多          
  ordinary differential
The method converts the frame problem into a set of ordinary differential equations using concepts from classical mechanics and orthogonal group techniques.
      
On the existence of periodic solutions for the third-order nonlinear ordinary differential equations
      
In this paper, the existence of periodic solution for the third-order nonlinear ordinary differential equation of the form {} is considered, where f, g, h and p are the continuous functions, and p(t+T)=p(t).
      
Uniqueness of positive solutions of a class of quasilinear ordinary differential equations
      
Uniqueness results are obtained for positive solutions of a class of quasilinear ordinary differential equations.
      
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