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 differential
 Deduction of the Differential Equation of the Box-Like Thin Wall Contortion (Distortion) of the Cross-Section and the Approximate Calculation of the Normal Stress 箱形薄壁截面歪扭(畸变)微分方程的推导及法向应力的近似计算 短句来源 Elastic Governing Differential Equations for Curved Multi-Girder Bridges 曲线梁桥的弹性控制微分方程 短句来源 Solution to Terzaghi's Two-Dimensional Consolidation Differential Equation 二维太沙基固结微分方程求解 短句来源 Basic differential equation deductive of theself-anchored suspension bridge 自锚式悬索桥挠度理论基础微分方程近似推导 短句来源 Differential quadrature method for the stability analysis of pipes conveying fluid on the elastic foundation 微分求积法分析弹性地基上输流管道的稳定性 短句来源 更多
 the differential
 Deduction of the Differential Equation of the Box-Like Thin Wall Contortion (Distortion) of the Cross-Section and the Approximate Calculation of the Normal Stress 箱形薄壁截面歪扭(畸变)微分方程的推导及法向应力的近似计算 短句来源 As for the variable depth box girders, difference method is applied to solve the differential equations and the boundary conditions of the variable depth box girders, which are derived according to the differential equations of the constant depth box girder. 对于变截面箱梁，利用等截面箱梁所得到的微分方程和边界条件演化为变截面箱梁的微分方程，采用差分法来求解变截面箱梁的微分方程和相应的边界条件。 短句来源 Based on the Terzaghi consolidation theory and the Carrillo theorem, the differential equations for vertical, radial and total consolidation of gravel pile composite foundation under embankment are derived, as well as their analytic solutions. 在Terzaghi 固结理论的基础上,应用Carrillo 定理建立了路堤荷载下碎石桩复合地基的径向、竖向及整体固结微分方程,并得出其解析解。 短句来源 First expatiate the differential equation of heat exchange, then confirm the boundary condition. 第三章首先对热传导的微分方程作了阐述。 之后确定温度场的边界条件。 短句来源 In order to find the dynamic response of the free span, combining Matteo Luca Facchinetti's wake oscillator model with the differential equation of the free span to get the coupling equations between pipe and fluid, the finite element method combined with the simple iteration is used to solve the system of equations. 为考察海底管道悬跨段的动力响应,将尾流振子模型与海底管道悬空段振动微分方程相结合,得到管道与流体的耦合振动方程,用有限元法及迭代法进行求解,得到管道涡激振动响应。 短句来源 更多
 ordinary differential
 Taking the bending stiffness, static sag, and geometric non-linearity into account, the space nonlinear vibration partial differential equations are derived. The partial differential equations are discretized in space by finite center difference approximation, then the nonlinear ordinary differential equations are obtained. 考虑索的抗弯刚度、垂度及几何非线性的影响,得出了索-阻尼器系统的空间非线性振动偏微分方程,用中心差分法将微分方程在空间内离散,导出了系统的非线性振动常微分方程组。 短句来源 Using Runge-Kutta method,the time history of model amplitude,the power of exciting force and damping force are simulated by solving the ordinary differential equation respectively,and the changing of system energy during vibration is expatiated. 采用Runge-Kutta法分别求解两组非线性微分方程组,得出斜拉索竖向振动的振幅、外力功率的仿真时程,并据此阐述了斜拉索风雨振动发生时系统的能量变化过程。 短句来源
 derivative
 MATLAB programs are programmed to resolve the dynamic derivative equations, in order to obtainthe acceleration time history of human, which makes preparation for putting into the ISO stardard to evaluate the vertical automobile ride comfort. 采用MATLAB 编写程序求解动力学微分方程求取人的加速度时程,为下文带入ISO 标准评价其竖直方向行车舒适性做准备。 短句来源 Firstly, the backcalculation of modulus is transferred into finding zero points of nonlinear maps according to extreme conditions of optimization problems. A mathematical model for backcalculation of pavement layer modulus based on the homotopy method is established with partial derivatives of the l st and 2nd order for deflections to modulus computed by numerical derivative methods. 根据最优化问题的极值条件 ,将模量反算转化为非线性映射求零点的问题 ,结合数值微分计算弯沉对模量的一阶和二阶偏导数 ,建立了基于同伦方法反算路面模量的数学模型 ; 短句来源

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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
 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. 更多
 derivative
 Aliasing error bounds are derived for one- and two-channel sampling series analogous to the Whittaker-Kotel'nikov-Shannon series, and for the multi-band sampling series, and a "derivative" extension of it, due to Dodson, Beaty, et al. Examples are considered, and the frame bounds in the case of sampling of the signal and its first derivative are calculated explicitly. This article also gives a single necessary-and-sufficient condition for a holomorphic function to be the transform of a function f such that any derivative of f multiplied by any polynomial is in Lp (d, ρ). Applying a special derivative reproducing property, we show that when the kernel is real analytic, every function from the RKHS is real analytic. 5-Aza analogs were prepared of several tryptamine derivatives and a skatole derivative known to bind at human 5-HT6 receptors and evaluated to determine if they bind in a manner similar to their indolic analogs. 更多
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