reduced equation

Theoretical establishment of a new reduced equation of state for mixtures

一种新的对比态混合物状态方程的建立

For this case , this paper improved the algorithm to solve the final reduced equation .

对于这种情况，本文对有限元撕裂对接部分最终缩减矩阵的求解算法进行了改进。

In this paper a singularly perturbed linear second order hyperbolic problem with zeroth order reduced equation is discussed .

本文讨论了一个二阶双曲型奇异摄动问题，它的一阶导数项含有小参数ε。

Uniform Difference Scheme for a Singularly Perturbed Linear 2nd Order Hyperbolic Problem with Zeroth Order Reduced Equation

具有零阶退化方程的二阶双曲型方程奇异摄动问题的一致差分格式

By use of principal directions and coordinates of center or apex of a quadric cure , a Descartes ' orthogonal coordinate transformation formula such as the reduced equation of the cure is expressed in terms of its invariants and semi invariants .

利用二次曲线的主方向、中心或顶点坐标，给出了使得曲线的简化方程由其不变量和半不变量表示的直角坐标变换公式。

The convergence of the scheme and the stability of the reduced difference equation are proved .

证明了格式的收效性和退化差分方程的稳定性。

Development of a cubic reduced virial equation of state for gas mixtures in chemical machinery

三次维里型对比状态方程对化工机械实际混合气体的开发

Oscillating Functions and Reduced Wave Equation

振荡函数与约化波动方程

The new correlations for determining two derivative parameters & enthalpy and entropy of real gases by using a new CUBIC REDUCED VIRIAL EQUATION OF STATE

应用三次维里型状态方程确定实际气体导出参数&焓与熵值的新关联式

For petroleum fractions , VLE system at low pressure and the modified reduced Antoine equation are recommended for the calculation of phase equilibrium .

推荐使用修正的对比态Antoine方程进行低压体系馏分油的汽液平衡计算。

A new correlation for determining the compression temperature of real gases in chemical machinerys & development of cubic reduced virial equation of state in a new approach

确定化工机械实际气体压缩温度的新关联式&三次维里型状态方程开发新途径

A new method for analyzing and determining the thermodynamic parameters of the Multi-Filling process of a cylinder with different real gases & development of cubic reduced virial equation of state

多元变组分充气过程的热力学分析及其参数确定的新方法&三次维里型状态方程的开发与应用

In fact , we could consider that it have resolved the similar problem of a class of higher dimensional system which could be reduced to equation ( 3.1.3 ) through the LS reduction method .

它实际上解决了一类可通过LS方法约化为方程（3.1.3）的高维系统的类似问题。

Then the stationary joint probability density , the conditional reliability function , the mean first-passage time of the optimally controlled system are obtained from solving the reduced FPK equation , the backward Kolmogorov equation and the Pontryagin equation , respectively of fully averaged systems .

求解与之相应的后向Kolmogorov方程得最优控制系统的条件可靠性函数，进而求得首次穿越时间的条件概率密度；求解与之相应的Pontryagin方程得最优控制系统的平均首次穿越时间（寿命）。

The reduced order observer equation is derived from the basic state equation of the induction machines . The motor speed is estimated based on the difference between two flux estimator outputs .

从电动机的基本状态方程导出降维的磁通观测器方程，根据两个磁通观测器输出的差异，估算出电动机转速。

For the resulting non-classically damped and frequency-dependant complex system , in combination with the real-mode-based degree-reduction scheme , a pseudo excitation method is developed to solve the reduced random vibration equation .

为解决依赖频率变化的非经典阻尼的复杂结构，结合实模态降阶直接解法对虚拟激励法做了相应的发展，精确求解了降阶后的随机振动方程。

For the case of a plane EM wave incident on a lateral layered dielectrics , Maxwell equations are reduced to Mathieu equation and Hill equation from which solutions of closed forms can be obtained .

对平面电磁波入射到横向分层不均匀介质上时的情形，麦克斯韦方程组可简化成马丢（Mathieu）方程和希尔（Hil）方程，据此可获得透射波和反射波场的解析表达式。

A Pure Fluid Reduced Saturate Vapor Pressure Equation

纯流体对比饱和蒸气压方程

Reduced Hugoniot curve and equation of state of metals under high-pressures

金属的对比Hugoniot线及其高压状态方程

For this metric , the field equations can be reduced to the Ernst equation with the parameter .

通过适当的手续，场方程化为带有参数的Ernst方程。

Classically , the solution of boundary value problems associated with electromagnetic radiation and scattering phenomena may be reduced to the integral equation .

电磁场的边值问题的解可以转化为积分方程来处理。

The longitudinal equation for an electron has been reduced to the pendulum equation , and the gain has been derived by using the energy conservation and the perturbed method .

并利用能量守恒和摄动法，导出了激光增益表达式。

The differential difference equation described the optical bistability with delayed feedback is reduced to a difference equation with delayed time T + τ in the first-order approximation , but to a multiple iterated equation in the higher-order approximation .

在一阶近似下，描述延时反馈光学双稳性的差分&微分方程被简化为一个延时为T+τ的等效延时差分方程，在进一步的近似下被简化为一个多重迭代方程。

Then the dual integral equation of vertical vibration of a rigid body on viscoelastic layered half space was established according to the mixed boundary valued condition . This dual integral equation was reduced to Fredholm integral equation of the second kind .

然后按弹性力学混合边值问题建立层状粘弹性地基上刚体垂直振动的对偶积分方程，并化为第二类Fredholm积分方程。

It is assumed that a periodic modulation of the superlattice is equivalent to its saw-toothed channel . In the small amplitude approximation , the particle motion equation is reduced to the Duffing equation with a hard-spring property by using sine-squared potential .

假设超晶格的锯齿形沟道对粒子的作用可等效为形状相似的周期调制，引入正弦平方势，并在小振幅近似下，把粒子运动方程化为具有硬弹簧特性的Duffing方程。

In this work , the generalized plane strain problem of the contact of a rigid punch and a layered elastic solid is reduced to an integral equation by using Fourier Transforms . A numerical scheme involving matrix inversion is used to obtain the approximate solution to the integral equation .

本文利用傅立叶变换把平面应变多层弹性体的接触问题转化为积分方程问题，再用矩阵求逆的方法来求解积分方程的数值解。

The results in , [ 6 ] and nondegenerate two photon CW laser oscillation , process by means of the stationary state solution of reduced , optical Bloch equation is discussed . The formulas on gain , saturation , dispersion and frequency pulling of the laser material are obtained .

本文推广的结果，用约化的光学Bloch方程的稳态解，讨论非简并双光子激光连续振荡过程，得到了双模双光子过程中激光物质的增益、色散和频率牵引等结果。

The results show that this model may be respectively reduced to the Flory-Huggins equation , the Wilson equation and NRTL equation in solution thermodynamics under some special conditions , and it can be verified by the Gibbs-Duhem equation , and expresses the thermodynamic properties of partially miscible systems .

结果表明：该模型在某些特殊条件下，可分别还原为溶液热力学的Flory-Huggins方程、Wilson方程和NRTL方程，并且能够满足Gibbs-Duhem方程，能够描述部分互溶体系的热力学性质。

We used reduced Bethe-salpeter ( BS ) equation to study the properties of heavy flavor mesons at a finite temperature . Based on the statistical properties of charmonium energy spectrum determined by the reduced BS equation , we proposed a new mechanism of J / ψ suppression .

我们采用约化的Bethe-Salpeter方程讨论了重味介子在有限温度下的性质，并基于Charmonium谱的统计性质提出了J／Ψ压低的一种新的机制。