一般方程

The first chapter gives the summary of basic theories of EOS for solids, including often-used thermodynamic theories and phenomenological expressions during the study progress of EOS along with the finite strain theory. Furthermore, from the view of solid-state theory the general expression of EOS of solids P =Pc+Pn is given, and the microcosmic mechanism of compression for solids, i.e., the interactive potential energy between atomics, is also analyzed, subsequently several different forms of cold energies and pressures are derived.

第一章，给出了物态方程的基本理论概要，总结了EOS研究中最常用的热力学理论和唯象关系式以及有限应变理论，并从固体理论角度给出了固体物态方程的一般形式P =Pc+Pn，分析了固体压缩的微观机理——原子间相互作用势，由此导出了几种不同形式的冷能和冷压。

The general solution of dynamic equation for the cableway under the condition of a single moving load is obtained by means of the small parameter method.

用小参数法求出了单个运动载荷作用下的索道动力方程的一般解，建立了多个货车通过索道时的动力方程。

In order to find a stable approximate solution of linear compact operator equation, the article introduces general theories about ill-posed problems, it bases on spectral theory of self-adjiont compact operators and the singular value decomposition for compact operators, avails singular system to give expression of the solution, and explains ill-posedness of compact operator equation roots in the property that the singular values trends to zero. Thereout, it is provided with theoretic support of building up regularization method by inducting regularization filter to weaken or filtrate the influence that the nature of the singular value being very close to zero has on the solutions stability.

为了得到线性紧算子方程稳定的近似解，介绍了不适定问题正则化的一般理论，以自伴紧算子的谱分析与紧算子奇异值分解为理论基础，利用奇异系给出了解的表达式，说明了紧算子方程不适定性的根源在于紧算子的奇异值趋于零的性质，由此通过引入正则化滤子函数来减弱或滤掉奇异值趋于零的性质对解的稳定性的影响，构造正则算子，从而提供了建立正则化方法的理论依据。

The researches about solving the nonlinearoperator equation in the paper, point out a new direction and instructionalmeaning for solving general nonlinear operator equation.

本文中关于非线性算子方程求解问题的研究，为一般非线性算子方程求解的研究指出了一条新的方向，从而对一般的非线性算子方程的研究具有指导意义。

In the modeling of growth macroeconomic rational expectations , using the method of quadratic optimal dynamic programming, the steady state equations of Riccati equations under normal conditions is discussed, which makes a firm basis for the modeling of macroeconomic rational expectations .

针对采用二次最优动态规划建立的宏观增长经济合理预期模型，探讨了Riccati递推方程的稳态方程求取问题，推导出了一般情况下的Riccati稳态方程，为建立合理预期数量经济模型奠定了基础。

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。

We structure a general equilibrium dynamic model of optimize behavior under the stick price, the model is made up of IS equation , AS equation and interest rate rule , these three equations :::: We utilize state space model and Kalman filter to measure the variable which can't be observed --The China Real Interest Rate Gap and China potential GDP .

我们构建了粘性价格下基于主体最优化行为的一般均衡动态模型，模型由IS方程、AS方程和利率规则这三个方程组成：：：：我们利用状态空间模型和卡尔曼滤波的方法对于不可观测变量——中国实际利率缺口和中国潜在GDP进行了度量。

VOF method was used to track the shape and location of free face, and PISO method was used to couple the velocity field and pressure field. By the 2-D and 3-D numerical simulations of the flow in sprinkler component under different states, the preliminary flow law of the sprinkler was revealed for the first time.

6采用三维非定常N-S方程作为控制方程，利用标准κ-ε紊流模型封闭雷诺时均方程，并利用VOF方法求解追踪自由表面的形状和位置，采用PISO算法耦合速度压力场，首次对喷头射流元件内部流动的不同运行状态进行了二维、三维数值模拟，初步揭示了内部流动的一般规律。

It will produce falsity if the equation is applied disengaging the original test area.

在各种预报土壤流失量的方程中，美国通用土壤流失方程的应用最为广泛，但这个方程产生的资料参效值是根据美国东部2／3地区的情况得出的，只限于可耕种的坡度(一般0°—7°)和低蒙脱石土壤。

Through analysis of Walras' general equilibrium system in simple economy and extended economy contained capitals,this article points out that the system of Warlras' general equilibrium which claimed itself to be one of the pillars of Neoclassical theories contains a series of logical contradictions.The discussion indicates that such equilibrium,only connecting to the barter economy within different rates of profits,is not a sort of general equilibrium in monetary economy aiming to get the general rate of profit under the real capitalist competitive economic relationships.

通过对瓦尔拉斯一般均衡体系由简单的生产交换经济到扩大的包含资本形成方程在内的经济体系的分析，指出一直标榜为现代主流新古典理论支柱之一的瓦尔拉斯一般均衡体系内部存在着一系列逻辑矛盾，从而表明它描述的只是一种差别利息率下的实物经济一般均衡，而并不是现实资本主义经济关系下为获取统一利润率竞争的货币经济均衡。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷