查询词典 solution set of equation

The solution of zero order is taken into the first order approximate of equation of motion. Then we make the equation linearization to get the solution of first order. So is way to obtain the solution of second order.

均匀、恒定解作为0阶解代入1阶近似运动方程，使之线性化，求出1阶近似解，同理将1阶解代入2阶近似运动方程，使其线性化，求出2阶近似解。

Integrate the load transfer principle and shearing displacement method to set up the load transfer equation between the pile of soil, using the discrete and fitting methods to solve the equation so as to educe the pile displacement of arbitrary section as well as the analytical solution. Comparing the results with the soil settlement solved by the Mair equation, the relative displacement can be gained.

1结合荷载传递原理和剪切位移法的思想建立隧道开挖作用下的桩土荷载传递方程，采用离散和拟合两种方法来对该一元二次非齐次微分方程进行求解，可分别得到桩身任意截面处的桩体位移以及桩身位移的解析解，并与基于Mair公式求得的地面下任意深度处的土体沉降进行比较，即可求出桩与桩侧土之间的相对位移。

Secondly, for a more general matrix equation in composition, we obtain another equivalent condition for the solvability of this equation and give an equivalent characterization to the solution set of the equation.

第二， 对于一般情况下的型矩阵方程，本文给出其可解的另一个等价条件，同时对其解集作了一个等价性描述。

A 3rd-Runge-Kutta-5th-WENO scheme is used in this study to get solution of the Level Set advection equation. A Projection method is used to solve the N-S equation, and different discretization schemes are presented. A TDMA algorithm is used to solve the energy equation. With the use of these methods, a numerical simulation of vapor-liquid two-phase flows during condensation with large density ratio has been successfully realized.

本文应用三阶Runge-Kutta－五阶WENO组合格式求解Level Set输运方程，应用投影法求解气－液两相流流场N-S方程，给出了不同投影法的具体格式，应用TDMA算法求解气－液两相流场的能量方程，成功实现了对大密度比气－液两相流冷凝流动问题的数值模拟。

Take for the amount of test materials, precision that set, place beaker, unless otherwise specified, may be added 40ml of water and hydrochloric acid solution (1-2) 15ml, and then set on a magnetic stirrer, stirring allows the dissolved, together with potassium bromide 2g insert platinum - platinum electrode, it will insert the solution of the following buret tip is about 2 / 3, using sodium nitrite titration solution (0.1mol / L, or 0.05mol / L) rapid titration, side drops while stirring, to near point, Burette tip surface will be presented with a small amount of water leaching cutting-edge, lotion, and solution and continue titration slowly until the sudden deflection of galvanometer pointer, namely, titration end point.

取供试品适量，精密称定，放置烧杯中，除另有规定外，可加水40ml与盐酸溶液（1-2）15ml，而后置电磁搅拌器上，搅拌使溶解，再加溴化钾2g，插入铂-铂电极后，将滴定管的尖端插入溶液下面约2/3处，用亚硝酸钠滴定液（0.1mol/L或0.05mol/L）迅速滴定，边滴边搅拌，至近点时，将滴定管的尖端提出液面，用少量水淋洗尖端，洗液并溶液中，继续缓缓滴定，至电流计指针突然偏转，即为滴定终点。

Nonlinear flexural wave equation is solved by the Jacobi elliptic function expansion method. Two kinds of exact periodic solutions of the nonlinear equations are obtained, that is, the shock wave solution and the solitary wave solution. The necessary condition for existence of exact periodic solutions, shock solution and solitary solution is discussed, which is consistent with the qualitative analysis.

利用Jacobi椭圆函数展开法，对该非线性方程进行求解，得到了非线性波动方程的准确周期解及相对应的孤波解和冲击波解，讨论了这些解存在的必要条件，这与定性分析的结果完全相同。

However, for exterior problem, in order to ensure the uniqueness of the solution, the behavior of the solution at infinity must be specified, thus the modification for the expression of the solution and the constraint for the solution of boundary integral equation are needed.

对外边值问题，考虑到二维Dirichlet问题的解应当在无穷远处有界，故解的边界积分表达式要做修正，对积分方程的解要有约束，这样去解边界积分方程得出的解才等同于原问题的解。

The main contents of this course include: the elementary solution of first order differential equations, the theory of existence, uniqueness and continuity dependency of initial value problem of first order differential equations, the structure theory of higher order linear differential equation and the solution of constant coefficient equations, the structure theory of system of linear equations, basic solution matrix and the solution of system of constant coefficient equations.

本课程内容有：一阶微分方程初等解法，一阶微分方程初值问题的存在性、唯一性、连续依赖性理论，高阶线性微分方程解的结构理论和常系数方程解法，线性方程组的结构理论、基解矩阵和常系数方程组的解法。

In 1966, Ross solved the equation of symmetrical free vibration and got six matching solution, but he believed that it is impossible to find a solution which is useful in everywhere. In 1979, Goldenveizer printed a monography in which the uniformly valid representations of curved solution were published, but the representations of membrane solution were still not found. In 1988, Ruo-jing Zhang published the uniformly valid representation of six solutions for symmetrical free vibration and eight solutions for dissymmetrical free vibration for the first time.

但却碰到巨大困难。1966年，Ross给出了轴对称振动的6个匹配解，但却认为不可能求出全域一致有效解。1979年，Gol&denveizer等出版专著，给出了弯曲解的全域一致有效表达式，但仍然没有得到6个解中奇异薄膜解的全域一致有效表达式。1988年，张若京在其博士论文中第一次给出了轴对称6个解和非轴对称8个解的全部&全域一致有效表达式。

In the first part, first of all, we have a priori estimate for solution of the reaction-diffusion equation with initial condition and Dirichret boundary conditions. Then, we construct a semidiscrete Legendre pseudospectral scheme, and have a priori estimate for approximate solution. We discuss the asymptotic stability of approximate solution. At last, we get a error estimation on large time for solution of the semidiscrete system.

首先，对此类方程初边值问题的解进行了先验估计；然后建立方程半离散的Legendre拟谱格式，并对近似解进行了先验估计，讨论了近似解的渐近稳定性；最后，得到了半离散系统解的长时间误差估计。

I had a lovely dog named PiPi, he was one of my best friends.

我曾经有过一只小狗，它的名字叫皮皮，它很善良，它是我最忠实的朋友。

Newly ovulated mouse oocytes were cultured in the CZB medium supplemented with different concentrations of pyruvate before treated for activation or assayed for MPF activity.

我们猜测卵母细胞在不含丙酮酸的条件下老化的更快，并且卵丘细胞可能通过消耗不含葡萄糖的CZB中的丙酮酸从而促进卵母细胞老化。