查询词典 consistent system of equations

For obtaining the numeral solutions of round elastic plates in axisymmetrical deformation with varying-thickness in nonlinear deformation in the unsteady electromagnetic field and mechanical field,by establishing the equations of motion,the equations of distortion,the equations of Lorentz force,the equations of electronic dynamic mechenical,and adopting iterative method,we gained the nonlinear magneto-elastic calculation method and outcome of current-carrying shell,and gained the influencing degree toward mechanical parameter of varying thickness round ferreous plates in the electromagnetic field and mechanical field.

为了获得内边界固定的环形导电薄板在均布力与横向磁场作用下的变形问题的数值解，通过建立运动方程、变形方程、电动力学方程和洛仑兹力方程，运用迭代法得出了载流板壳的非线性磁弹性的计算方法和结果，以及机械场、电磁场对铁质变厚度圆板各力学参量的影响程度。

The results calculated by the Elovich rate equation showed that K release rates from 1 mol.L-1 HNO3 extraction ＞those from 2 mol.L-1 HNO3 extraction ＞those from H-resin extraction. Elovich equations combining with the data of H-resin and 2 mol.L-1 HNO3 successive extraction could well described the release characteristics of soil K. The correlation coefficients of the equations reached most significant levels (r＝0.956**—0.999**), and standard errors of specific K release capacities between the vaules calculated by the equations and those measured by both successive extractions were smaller(s=1.61 and 3.52). The specific release rates of soil K calculated by the Elovich rate equations were significantly correlated with the indices of soil K availability (the amounts of easily available K, nonexchangeable K, total available K in soils and K absorbed by ryegrass).

研究结果表明：1 mol.L-1 HNO3提取法的释K速率＞2 mol.L-1 HNO3提取法的释K速率＞氢饱和交换树脂提取法的释K速率；氢质交换树脂和2 mol.L-1 HNO3提取法结合Elovich模型较理想地描述了土壤K素的释放特性，拟合方程的相关系数均达极显著水平(r＝0.956**-0.999**)，土壤特征累积释K量的计算值与实测值的标准差较小(s=1.61和3.52)，且通过速率方程计算的土壤特征释K速率与K素有效性指标(速效K、缓效 K、有效K及黑麦草总吸K量)的相关性也较为密切。

The main creating aspects are finding and clarify such a fundamental physical process that the grain boundaries emit vacancies under compressive stress to induce solute non-equilibrium grain boundary dilution and absorb vacancies under tensile stress to induce non-equilibrium grain boundary segregation, formulizing the structural equations and the composition equations in force equilibrium in grain bounary region to describe this physical processes and the kinetic equations for non-equilibrium grain boundary segregation under tensile stress, calculating the modulus in grain boundary region from the expermental data of grain bounday segregation using the structure and coposition equations and calculating the diffusion coefficients of vacancy-solute atom complexes using the kinetic equation simulating the experimental results of grain boundary segregation.

本项目的主要创新点是，发现并阐明了弹性应力场作用下空位与晶界交互作用的基本物理过程：在张应力作用下，晶界会吸收空位，引起溶质非平衡晶界偏聚；压应力作用下，晶界会发射空位，引起非平衡晶界贫化。建立了描述此物理过程的晶界区力学平衡的结构方程和成分方程；？建立了张应力引起的非平衡晶界偏聚动力学方程？；用晶界区力学平衡的结构方程和成分方程？，首次通过实验测量计算出多晶材料晶界区的弹性模量；通过建立的动力学方程模拟实验结果，首次获得溶质原子－空位形成的复合体的扩散系数。

Then he combined the evolution equations with the Euler equations, and finally got the model equations based on the quasi-conservative equations.

Shyue将该计算方法推广到基于一般刚性气体状态方程的γ模型和体积分数模型的准守恒型Euler方程组。

The model is usually an inhomogeneous system of linear equations. It is pointed out that the general solution of the homogeneous system of linear equations can satisfy the request of making the wires tight, and the special solution of the inhomogeneous system of linear equations are not smaller than zero, so their sum is greater than a given mumble.

由于多自由度绳牵引并联机构的静力学模型一般是一个非齐次线性方程组，本文指出可让对应齐次方程组的通解的最小值满足绳保持张紧的条件；让非齐次线性方程组的特解非负，而避免利用对应齐次线性方程组的通解保证非齐次线性方程组的解不小于给定的最小值。

Rumjantsev used Hamilton's principle with Lagrange's multipliers to generate the dynamical equations of a rigid-fluid coupled system in 1954 and the dynamical equations and their dynamical boundary conditions of a fluid-elastic coupled system in 1969, where the fluid is incompressible and inviscid. In 1990, Liu used Jourdain's principle with Lagrange's multipliers to generate the dynamical equations of a rigidfluid coupled system, where the fluid is incompressible and viscid.

Rumjantsev利用带Lagrange乘子Hamilton变分原理于1954年建立了刚—流耦合系统的动力方程，于1969年建立了流—弹耦合系统的动力方程及其动力边界条件，其中所考虑的流体是不可压无粘液体；Liu利用带Lagrange乘子Jourdain变分原理于1990年建立了刚—流耦合系统的动力方程，其中所考虑的流体是不可压粘性液体。

The algorithm has following properties: Although the merit function has the form of least squares of a system of overdetermined equations, in the Newton equation of our algorithm, only the coefficient matrix of the system of overdetermined equations is used instead of its product as in Guass-Newton method for solving the least squares problems. That is, our Newton method is more like that for the system of nonlinear equations rather than that for LSPs. The global convergence is obtained for VLCP with vertical block P_0 + R_0 matrix; The local quadratic convergence rate is proved under the condition that the solution is BD-regular; Although there is only a Newton equation in our algorithm, the finite convergence property can be shown if matrix is vertical block P— matrix (without the hypotheses of strict complementarity).

该算法具有下列特点：所构造的价值函数虽然具有超定方程组的最小二乘问题的形式，但在基此建立的Newton算法中，其Newton方程的形式更象非线性方程组的Newton法中的Newton方程，仅利用了超定方程组的系数矩阵本身的信息，避免了一般最小二乘问题的Guass-Newton法中必须计算系数矩阵的乘积的工作量；对竖块P_0+R_0矩阵的垂直线性互补问题，算法具有全局收敛性；在解是BD-正则条件下，证明了算法的局部二次收敛性；虽然算法只含一个Newton方程，但对竖块P-矩阵垂直线性互补问题，算法具有有限步收敛性。

Firstly, the system of coupled first-order differential equations of the generalized telegrapher's equations was converted to a system of second-order differential equations.

首先，将时域耦合波方程组的关于轴向z的一阶关联偏微分方程组形式化为二阶偏微分方程组形式；然后采用时域有限差分法"预测-校正"方式对其进行求解。

Only with such characteristics, the movement equations can be expressed as matrices, and the idea of transforming the movement equations to the simplest form through a nonlinear transformation can be realized;(2) The form of Zi =Yi + YTH2i Y + Y7H3i Y(2)+ Y(2)T H4i Y(2)+ YTH5i Y(3) is adhibited in the nonlinear transformation, so that the multivalued problem caused by the nonlinear transformation is avoided, and the higher order transformation can be taken next;(3) The fourth order nonlinear transformation matrices H21,H31,H41 and H51 are derived, by which the original movement equations of electric power system is transformed to Jodan form in Z space;(4) By use of the fourth order nonlinear transformation, the approximate expression of the stability boundary is obtained, in Z space it is Z1= 0,in Y space it is Y1 + YTH21 Y + YTH31 Y(2)-i- Y(2) TH41 Y(2)+YTH51 Y(3)= 0;(5) The criterion used in this paper to judge whether the system critical unstable is simple and quick;(6) The method used in this paper is a direct method, and no need to construct an energy function.

正是由 于电力系统的运动方程具有这样的特性，才能写成矩阵的形式，通过非线性变换将电力系统的运动方程变换为最简单的线性形式的思想才能得以实现；（2）将通常运用于电力系统暂态稳定性分析的Normal Form变换的形式由 Yi＝ Zi＋ ZTh2riZ变形为 Zi＝ Yi＋YTH2iY＋YTH3iY（2）＋Y（2）TH4iY（2）＋YTH5iY（3），从而使得在对持续故障轨线实施同样的非线性变换以确定临界切除时间时，避免了非线性变换带来的多值性的问题，而只有在没有多值性问题的困扰下，才能采用较高阶的变换：（3）推导出了将原始电力系统系统的运动方程变换到Z空间的约当形式的非线性变换矩阵H21、H31、H41、HS1：（4）在运用四阶了「线性变换的情况下，给出了受扰动后系统的稳定边界的近似的解析表达，在Z空间为Z1=0，在y空间为： Y1+YTH21Y+YTH31Y(2)+Y(2)TH41Y(2)+YTH51Y(3)=0 （5）确定临界失稳的判据简单、快捷：对于一个复杂的电力系统，其稳定边界是相当复杂的一个高维曲面，即便是已知系统稳定边界的解析表达，要求出系统持续故障轨线何时与这一高维曲面相交，在数学上几乎是不可能实现的。

Four basic processes are analyzed in detail in network security decision,which are the base of NSDSS security decision. Then, developing strategies and methods are analyzed according to the objective and task of the system. Antetype method with RAD speciality is chosen to lead the developing process of the system. The structure of "Four-Base and Seven-System" of NSDSS is decided, based on which, the Function and Structure of Man-Machine Conversation system, General Management system, Data Base system, Model and Method Base system, knowledge base system, Causing and solving problems system are discussed. The basic theories and methods of each part are discussed. In the designing process of Model Base System, detailed analysis is given to the models of prediction, evaluation and management in the course of security decision. Moreover, basic process and method are discussed on question generation and solution. Then, detailed explanation is provided on the integration and implement of the system. After that, it is suggested that implement of the system should be carried through the process of the system.

论文首先对NSDSS涉及到的相关知识进行了讨论，详细分析了网络安全决策中的四个基本过程，这是NSDSS进行安全决策的基础；随后依据系统的目标和任务，对系统的开发策略和方法进行了分析，选择具有RAD能力的原型法指导整个系统的开发过程；确定了NSDSS"四库七系统"的整体结构；在此基础上，分别探讨了人机对话系统、通用管理系统、数据库系统、模型库和方法库系统、知识库系统、问题生成和求解系统的功能和结构，对各部件的基本原理和实现方法进行了论述；在模型库系统的设计过程中，对安全决策过程中运用到的安全预测、安全评估、安全管理等模型进行了详细的分析；仔细探讨了问题生成和求解的基本过程和方法；较为详细地阐述了系统集成和实施的有关问题，面向系统的成功实现，提出了将系统实施贯串于整个系统开发过程中的思想。

He got into race cars, while my father liked go-karts more, so I didn't really pay attention to what Diego was doing, as I was just racing karts.

叔叔开的是跑车，而我父亲更喜欢越野卡丁车，所以我并不太关注Diego在做什么，我仅仅在跑我的卡丁车而已。

She is at present gone to look for the best nectar and ambrosia to regale me this evening.

她今晚为款待我，现在又去准备美酒佳肴去了。