查询词典 dimensional equation

The axially symmetric torsion of rigid circular shaft of varying diameter embedded in an elastic half space is studied by line-loaded integral equation method, where the problem is formulated by distributions of fictitions fundamental loads PRCHS (point ring couple in half space) along the axis of symmetry in interval of the shaft and is reduced to a one-dimensional and non-singular Fredholm integral equation of the first kind and is easily solved numerically.

弹性半空间；本文用线载荷积分方程法研究嵌在弹性半空间的刚性变直径圆轴的轴对称扭转。利用将"半空间的点环力偶"这一虚的基本载荷沿对称轴的圆轴区间中分布就能使本问题归结为一个一维的非奇异的Ferdholm第一种积分方程，且很易用数值求解。文中给出刚性圆锥，圆柱，圆锥柱嵌在弹性半空间的扭转的数值计算的例并和他人的已知结果相比较。

A two dimensional stochastic nonlinear dynamical model of semi-active suspension system is presented considering the stochastic factor of the road. The Hamilton function is also described as one dimension diffusion process by using stochastic average method, the stationary stability is studied by solving the Fokker-Planck-Kolmogorov equation. The Backward Kolmogorov equation for reliability function had been established.

考虑路面随机因素的影响，首先建立二自由度汽车半主动悬架的随机非线性动力学模型，运用随机平均法，将Hamilton函数表示为一维扩散过程，并运用奇异边界理论分析系统的全局随机稳定性，建立可靠性函数所满足的Backward Kolmogorov方程，结合初始条件和边界条件得出数值结果。

Instead of Hildebrand equation to treat the results of experiment,the equation of two-dimensional solubility parameters has been used to gain the nonpolar part of solubil...

本文讨论了方法的准确性和合理性，并用二元溶解度参数公式代替Hildebrand公式对实验结果进行处理，得到了聚醚溶解度参数的非极性部分，它们分别为6.44、7.15和7.53（cal／cm3）。

The research achievement are acquired as follows: 1From mathematical models for inverse scattering in two dimensional homogenous media including Dirichlet, Neumann, Robin,all kinds of probable mixed boundaries and cracks, direct and inverse scattering are discussed, and ill-posed integral equation and indicator function method are formulated for the diverse of boundary identification. It is shown that the kernel of the integral equation characters the boundary of scatterer, which is determined by solving it by virtual of regularity method, meanwhile, some numerical tests are given.

本研究取得了如下研究成果： 1）在二维均匀介质逆散射各种边界识别的数学模型（包括Dirichlet，Neumann，Robin，各种可能的混合边界问题，裂纹问题）下，分别考虑了正散射问题和逆散射问题，推导了上述各种边界识别的不适定积分方程以及指示函数方法，由于积分方程的核充分表征了散射物的边界，由此说明只要利用正则化方法求解该积分方程，就可以确定散射物的边界，并给出了一些数值实验。

Being enlighten from the Schwartz KP equation,we give out a(3+1)dimensional conformal invariant equation that possessesPainlevéproperty.

我们利用已知的(2+1)维Kadomtsev-Petviashvilli方程的Schwartz形式，构造了一个具有共形不变性的Painlevé可积的(3+1)维的模型。

The equation of lattice vibration of one-dimensional monatomic lattice and the equation of longitudinal vibration of a uniform bar are discussed.

一维单原子链晶格振动与均匀杆自由纵振动的运动方程在数学上存在内在的联系。

Then we get atwo-dimensional wave equation. By numerical simulation of the wave equation using

再利用差分方法对这个波动方程进行数值模拟，得到史瓦西小黑洞的电磁场拟正则模，并对其特性及相应的物理意义进行了深入的分析和研究。

Carleman不等式及其在最优控制问题中的应用.Optimal control theory of distributed parameter systems mainly includes: Pontryagin's maximum principle; controllability; Hamilton-Jacobi equation (i.e., dynamic programming equation); time optimal control, etc.In this dissertation, we establish Pontryagin's maximum principle of optimal control problems governed by some nonlinear differential equations (parabolic differential equations, elliptic differential equations and 3-dimensional Navier-Stokes equations), which in particular could have local solut...

在这篇博士论文中，我们建立了非线性微分方程(包括抛物型微分方程，椭圆型微分方程以及3维Navier-Stokes方程)最优控制问题的庞特里雅金最大值原理，特别地，这些方程可能只有局部解或存在多解(我们称这样的系统为非适定系统，相应的最优控制问题为非适定最优控制问题)，以及适定的非线性发展方程最优控制问题的庞特里雅金最大值原理；我们研究了phase-field系统的时间最优控制问题以及Boussinesq系统的局部内可控性。

Since the governing equations for atmosphere movement can be reduced to a convective equation, so, to verify the validity of SFEBS, the propagation of one dimensional wave packet and shock governed by convective equation are simulated and compared with the boundary scheme that is based on the idea of Taylor series expansion.

因为大气运动的控制方程简化后可以归结为一个对流方程，所以作为边界格式之间的比较和检验，在一维情况下用对流方程和数值模拟中具有代表性的波包和激波作为算例，将其与传统的基于Taylor展开思想构造的边界条件进行了比较。

The growth relationship between spectrum parameter and fetch were studied, from which three parameters and overshot phenomenon that appears during wind wave spectra developing were tested, and an equation describing the growth of three-parameter spectra with wind wave was obtained With the equation, the spectra of wind waves were obtained at zero-dimensional fetches of 300, 500, 2000, 5500, 10000, and 15000, and the overshot was described more clearly. However, the overshot does not exist in the whole process of wind wave spectrum development as stated previously by Hasselmann, but in the early stage of the development only, extenuates with wave growth and then disappears when the wave fully grows.

基于已得到的谱参量随风区的变化关系，对三参量风浪频谱以及风浪频谱成长过程中存在的&超射&现象作深入的研究，得到三参量风浪频谱随风区的成长关系：在此基础上，得到无因次风区：300、500、2000、5500、10000、15000下，风浪频谱的谱线，从而直观地描述了风浪频谱成长过程中的&超射&现象，并认为在风浪频谱的成长过程中确实存在着&超射&现象，但是该现象并不如Hasselmann等提出的理论中阐述的那样存在于风浪频谱成长的全过程，而是仅存在于风浪频谱成长的初期。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新