查询词典 reduced equation

The summary of the adopted models contains a two-scale k-ε turbulence model,the scalar joint probability density functiontransport equation approach,the augmented reduced mechanismfor methane oxidation (consisting of 16 species and 12 lumped reaction steps),the Euclidean minimum spanning treesmall scale mixing model etc.

所采用的数学物理模型包括双尺度的k-ε湍流模型，标量联合的概率密度函数输运方程方法，甲烷氧化的ARM简化化学反应机理(包含16种组分，12步总包反应)和欧几里德最小生成树小尺度混合模型。

By using a similarity transformation, the Navier-Stobes equations in the cylindrical co-ordinates for the steady incompressible flow are reduced to an ordinary non-linear differential equation of the third order.

利用相似转换，将不可压缩流体，定常运动，柱坐标形式的纳非尔-斯托克司方程组简化为一三次非线性常微分方程，运用小参数法及适当边界条件求出此方程的解，结果表明，吸吮或吹注对流动的速度分布，沿流程压力下降和摩擦系数均有显著影响，其影响的大小，依赖于吸吮或吹注的性质，程度及二圆管的相对尺度。

By applying the statistical theory for thermal defects of an imperfect crys-tal to polymer liquids, a simple relation between the occupied-site fraction andthe reduced temperature has been derived and the SS EOS is simplified to aso called simplified hole theory equation of state.

本工作将不完全晶体中热缺陷的统计理论用于聚合物液体中，得到被占座席分率与对比温度的一个简单关系式，导出了简化的空穴理论状态方程。

Using the perturbation method and Stroh's formula, a nonideal crack, which is mathematically sharp and the opposing crack faces still have a gap in which a stiffless dielectric fills, the two-field problem is reduced to a standard Riemann-Hilbert problem. The internal electric field distribution is obtained by solving a singular integral equation, and then the full field both inside and outside the crack is obtained and the electro-mechanical intensity factors to the first order of accuracy are given.

采用摄动方法对裂尖理想尖锐而裂纹面又具有一定张开的非理想裂纹进行分析，裂隙内含有无刚度的各向同性电介质，利用Stroh公式，将二域问题化为标准的Riemann-Hilbert问题，裂隙内电场分布通过解一个奇异积分方程获得，从而得到裂纹内外的力电全场分布，进而给出一阶精度下的力电强度因子的表达式。

The reduced Lagrange density of nonlocal nonlinear Schrodinger equation is obtained by expanding the real symmetric response function in Taylor's series in strongly nonlocal Kerr media.

在非局域非线性克尔介质中，通过对介质实对称响应函数的泰勒展开，简化了非局域非线性薛定谔方程所对应的 Lagrange密度，进而利用变分法对光束的传输问题进行了分析。

This method is not necessary to solve a complex unlined partial differential equation so that the computational cost is reduced.

本文在温度场的模拟计算中，将铸件中同时发生的连续的传导传热和对流传热，用在微小时间间隔内独立的传导传热和对流传热近似表达，完成充型过程中流场与温度场的耦合计算。

Based on the Hamiltonian of the interaction system, which includes the interaction between two two-level atoms and a single mode vacuum field, the state vector and the density matrix of the system, and the reduced-density matrices of the subsystems are obtained by solving its Schrodinger equation, and the basic model of this problem is established.

从两个二能级原子与单模真空场相互作用系统的哈密顿量出发，通过解Schrodinger方程，得到了系统的态矢、密度矩阵和子系统的约化密度矩阵，建立了本文的工作模型。第二章介绍了量子熵与量子纠缠的发展史，解释了量子熵与量子纠缠的关系，阐述了量子熵与量子纠缠的基本理论。第三章研究了两个二能级原子与单模真空场相互作用系统中的量子纠缠。

In this paper, the functions and the fashions of regularization are discussed when traveltime tomography is reduced to the solution of linear equation system, the functions of regularization include: constraint components which are underdetermined or lie in null space using overdetermined components and all kinds of known information; treat the uneven coverage of rays and the inaccurate datas by damping.

反射地震走时层析最终可归结为线性方程组的求解，本文讨论了在线性方程组求解过程中正则化的作用和方式。正则化的作用有：(1)用超定分量约束欠定分量和零空间分量；(2)用先验信息约束欠定分量和零空间分量；(3)对射线的不均匀覆盖进行阻尼；(4)对数据的不准确性进行阻尼。

For the multisensor systems with uncorrelcted noises,and with unkonw noise varaies.substituting the information fusion noise variance setimators based on the correlct method into the centralized fusion optimal information filter,a self-turning centralized fusion information filter is presenced compared with the self-turning centralized fusion Kalman filter based on the Riccati equation,it can be avoid to compute zhe inverse matrix with high dimension,so that the calculation hurden can be reduced significantly.

对于带未知噪声系统和不相关噪声的多传感器随机系统，将基于相关方法得到的噪声方差带入到集中式融合最有信息滤波器，提出自校正集中式融合信息滤波器。同基于Riccatia方程的集中式融合Kalman滤波器相比它避免了计算高维矩阵的逆，从而减少了计算负担。

The computational cost of the scheme is greatly reduced comparing with pseudospectral modeling of the two-way equation.

就模拟一次反射地震波而言，与前人研究的双程波动方程伪谱法地震波模拟相比，本文算法具有足够高的模拟精度，且计算效率成倍地提高。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。