查询词典 equivalent equation

For the Riemann boundary value problems for the first order elliptic systems , we translates them to equivalent singular integral equations and proves the existence of the solution to the discussed problems under some assumptions by means of generalized analytic function theory , singular integral equation theory , contract principle or generaliezed contract principle ; For the Riemann-Hilbert boundary value problems for the first order elliptic systems , we proves the problems solvable under some assumptions by means of generalized analytic function theory , Cauchy integral formula , function theoretic approaches and fixed point theorem ; the boundary element method for the Riemann-Hilbert boundary value problems for the generalized analytic function , we obtains the boundary integral equations by means of the generalized Cauchy integral formula of the generalized analytic function , introducing Cauchy principal value integration , dispersing the boundary of the area , and we obtains the solution to the problems using the boundary conditions .

对于一阶椭圆型方程组的Riemann边值问题，是通过把它们转化为与原问题等价的奇异积分方程，利用广义解析函数理论、奇异积分方程理论、压缩原理或广义压缩原理，证明在某些假设条件下所讨论问题的解的存在性；对于一阶椭圆型方程组的Riemann-Hilbert边值问题，利用广义解析函数理论、Cauchy积分公式、函数论方法和不动点原理，证明在某些假设条件下所讨论问题的可解性；广义解析函数的Riemann-Hilbert边值问题的边界元方法是利用广义解析函数的广义Cauchy积分公式，引入Cauchy主值积分，通过对区域边界的离散化，得到边界积分方程，再利用边界条件得到问题的解。

Amukhin et al.,and convert it into an effective1D chain with particular distribution of equivalent coupling bonds.Then we use the single-electron Schrodinger equation to calculatewave functions of electrons in the chain by transfer matrix method,without using the assumption of Samukhin et al.On variable hoppingmechanism and critical percolation condition.From this calculationwe obtain the dc conductance directly from Landauer-Buttikarformula.

mukhin提出的多层次等级分形结构模型，将其简化为耦合键强度t具有特殊分布的等效一维链，舍弃前人假设的变程跳跃机制与临界渗流条件，从单电子薛定谔方程出发，用转移矩阵方法计算一维链的透射系数，再利用Landauer-Buttickar公式直接求出直流电导。

Since the general limit state equation established is based on circular section,four calculation methods with section of roadway changed into equivalent circle section are put forward.

由于总体极限状态方程是在圆形巷道的基础上建立的，因此在文中还给出了一般形状巷道转化为等代圆形巷道时其半径的四种计算方法。

In the first part, convex duality method linearizes convex wealth equation, and the introduction of Lagrange multiplier converts original problem to an unconstrained static optimum problem. At last, we obtain another equivalent optimum problem with convex control domain.

文章前一部分运用凸对偶的方法先将财富方程线性化，Lagrange乘子的引入使最优问题等价与一个无约束的静态最优问题，最后转化为一个凸控制域的最优问题。

As we all know, it is equivalent to the null controllability of a cascade system governedby two linear degenerate parabolic equations. Next, we study the null controllability of acascade system governed by a semilinear degenerate parabolic equation and a semilinear heatequation.

众所周知，这等价于两个线性退化抛物方程构成的耦合系统在单个控制作用下的零能控问题；接下来我们又考虑了一类半线性退化抛物方程与半线性热方程构成的耦合系统的零能控问题。

Therefore, the existence of periodic solutions for the Hamiltonian system and its equivalent differential delay equation is established.

从而建立哈密顿系统以及与之等价的时滞微分方程的周期解的存在性定理。

Based on the equivalent circuit, the resonance frequency equation is derived and the expression of the resonance frequency is obtained.

在此基础上，得出了振子空载时共振频率方程和振子共振频率的表达式。

A new conception of power per unit impedance is defined and the basic equation to express the variation of load voltage magnitude with the variation of its dynamic equivalent impedance and that of power per unit impedance is derived.

定义了单位阻抗功率的新概念，推导了电压幅值随其等值阻抗和单位阻抗功率变化而变化的基本方程式。

Then the stability of the original dynamic system was determined by solving the equation of the equivalent system.

通过求解该等效系统的Lyapunov方程，判定原系统的稳定性。

On each subspace the Dirac equation is equivalent to a two dimensional system of ordinary differential equations of first order.

在每一个子空间中狄拉克方程等效为一阶线性微分方程组的两个空间系统。

Pradeep Indulkar, a senior official at the Maharashtra state Home Ministry say 101 human were killed and 287 injured.

马哈拉施特拉邦内政部高级官员Pradeep Indulkar称，有101人在冲突中丧生，287人受伤。

Mark Frei, a senior vice president of West, says 80% of West's homeagents have some college education, compared with 30% of those whowork in office-based call centers.

Frei说，该公司80%在家办公的人员都拥有本科学位，而在公司电话中心工作的人中只有30%拥有本科学位。