查询词典 characteristic equation

The problem is reduced to a single unknown equation after algebraic elimination. The input-output equation, which is proved to be a 42th degree polynomial equation, is obtained.

首先根据不同的环路列出矢量方程，然后将方程转化成复数形式，经过代数消元后得到了输入输出方程。

After that, the important equation for calculating reverberation time is given based on the definition of reverberation time and least squares method. Finally, we use our new method to calculate reverberation time in a rectangular enclosure; we also compare our results with those given by experiment and Sabine's equation. The comparison shows that the new method is more effective and accurate than Sabine's equation in calculating reverberation time of small enclosures.

给出了描述小尺度封闭空间内声场的有限元模型；在该模型的基础上推导了计算小尺度封闭空间内混响时间的方法，并编制了相应的计算机程式；在算例部分，计算了一矩形封闭空间内的混响时间，通过与实验结果进行比较，验证了这一方法的正确性。

Based on the given results of second order boundary value problem, the existence of solutions of nonlinear differential-difference equation and unique of solutions of Hammerstein type integro-differential-difference linear equation were established because Hammerstein linear equation featured only one solution.

以二阶边值问题的已知结果为基础，建立了微分差分非线性方程解的存在性，以及Hammerstein型线性方程解的唯一性。

By utilizing the expansion expression of equilibrium point of the system, the homogeneous equation s solution was obtained, and then the nonlinear differential equation was equivalent to its nonlinear Volterra's integral equation of the second kind by the constant variation method.

首先将系统在平衡点附近进行展开，求得其齐次方程的解，然后利用常数变易法将非线性微分方程变为等价的第二类非线性Volterra积分方程。

The dispersion secular equation and displacement equation of Stoneley waves in infinite-solid media are obtained in this paper. The characteristics of Stoneley waves are discussed in this paper by using the secular equation.

推导了流体—固体无限介质斯通利波的特征方程及位移计算公式，并利用这一特征方程分析研究了流体—固体介质中斯通利波特性。

Neutral equation; stochastic functional differential equation; stochastic differential equation with delay; infinite delay; asymptotic propertie; semimartingale convergence theorem; Markovian switching; moment stability; moment boundedness

基础科学，数学，概率论、数理统计中立型方程；随机泛函微分方程；随机延迟微分方程；无限时滞；渐近性质；半鞅收敛定理； Markov调制；矩稳定性；矩有界性

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。

These weight matrices are actually the least solution matrix and all maximal solution matrices of the min-implication fuzzy relation equation, respectively. The complete solution set of min-implication fuzzy relation equation can be determined by the maximal solution set of this equation.

同时给出了严格的定理证明：这些连接权矩阵分别为对应的最小-蕴涵合成模糊关系方程的最小解和所有极大解，从而得到了此模糊关系方程的完备解集。

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。

Aiming at the problem that solution FEMequation set needs too much memory, segregated solotion methOd has beenadopted and for the first in China E l em ent- B y- E lement has been introduc edwhen solving flow field parameter equation sets. EBE technology need notassemble and store the global stiffness matrix, and minish effectively memoryrequires of solution equation set, moreover it has inherent high parallelity, andadvance equation solution.

针对求解流场有限元方程组占用计算机内存资源过多、限制求解规模的缺点，采用分离式求解法，在求解流场各参数方程时，在国内首次引入EBE技术，EBE技术不必组集和存储总刚矩阵，能有效地减小了方程组求解时对内存空间的要求，同时EBE技术具有内在的高度并行性，能有效提高方程组的求解速度。

The witness also told the jury at the Royal Courts of Justice in London that he saw a paparazzo fighting with a member of the public who was trying to stop him taking pictures in the minutes before the emergency services arrived.

他还告诉在伦敦皇家法庭的陪审团，在急救服务到来之前，他当时看见一个狗仔队正和一群阻止他拍照的人打架。

The entire N／C program on a tape is made up of an accumulation of these successive data blocks.

纸带上的整个数控程序由这些连续数据单元连接而成。