参数方程

In the relativistic σ-ω model, the influence of the parameters in self-interaction of σ meson to the equation of state of normal nuclear matter, especially, to incompressibility, effective mass, and coupling constants, is studied in detail. We find that these parameters have an intense relationship to the property of nuclear matter.

在相对论σ-ω模型里，详细讨论了σ介子的自相互作用参数对正常核物质物态方程的影响，特别是对核物质的不可压缩系数、有效质量，以及σ介子与核子、ω介子与核子之间的耦合常数的影响，发现这些参数与核物质的性质之间有紧密的联系。

The inverse kinematic calculation is not required by the procedure given in this paper. With the interval method and simulation, the conclusion has been reached that, in most cases, robot calibration can be carried out in the nominal working space.

文中采用了参数误差的线性补偿方法，不仅不需要计算逆向运动学，而且可以利用参数误差识别部分求解的雅可比方程直接用来补偿计算，提高了效率。

Based on the new method, the paper discusses an inverse mapping of rational parameter surface, also, the implicit equation of the parametric equation is obtained.

文中用该方法对基于有理参数曲面的逆映射进行了一些探讨，并得到参数曲面的隐式方程。

Then with the use of general inverse and matrix projection theorem,a new parameter with good identification effect is deduced,which is called projection modulus of residual vector ,and with which the damaged element is easily identi.

为了找到一个对小损伤较敏感的参数，在结构自由振动微分方程基础上，结合损伤结构的测试数据(用有限元模型的计算结果来模拟)，得到残余向量，利用广义逆和矩阵投影定理，导出了一个具有很好识别效果的参数：残余向量投影范数。

In addition, according to the given position and attitude parameters, the backward kinematics equation is resolved.

另外，在给定相关的位置和姿态参数的情况下，对各关节运动参数的逆运动学方程进行求解。

In Kuksin's the monograph, assuming the potential depends on n-parameters, he showed that the Schrodinger equation with Dirichlet boundary condition possesses many invariant tori for "most"(in the sense of Lebesgue measure) parameters.

Kuksin 在他 1993 年的专著当中表明，对于依赖于参数的势函数来说，满足 Dirichlet 边值条件的非线性薛定谔方程，对于大多数(在 lebesgue 测度意义下)的参数，存在许多不变环面。

Firstly,to abtain the parameters of coupling system,such as the focal length and the position of the lens,computing the Gaussian lens formula,then establishing the rectangular coordinate system and constructing equation and tracing the marginal ray to compute the parameter of the radius of the image beam waist.

首先使用高斯光束的透镜变换公式计算透镜的焦距及放置位置等耦合系统的参数，然后建立直角坐标系并利用耦合系统的参数构建方程，对边缘光线追迹，计算出像方束腰半径值。

Reduced SQP based on orthonormal bases, orthogonal bases and coordinate bases are studied and compared. With the correction item introduced, the null-space move is adjusted and the reduced SQP based on coordinate bases decomposition is improved.●The key problem of steady-state data processing for RTOPT is studied. A new algorithm of simultaneous strategies for data reconciliation and gross error detection is proposed. Here the objective function that is constructed using maximum likelihood principle and joint distribution function is minimized. Efficient algorithm is developed which exploited the nonlinear lease-square structure of this objective function.

仿真结果表明了算法的有效性；●深入研究了在线优化中的一个关键问题——稳态数据处理问题，用基于组合概率分布的目标函数联立求解粗劣误差检测和数据调和问题；以精馏塔在线优化的数据处理和模型修正为例，提出一种根据模型方程对参数的依赖性进行过程模型分解的分层策略，可以将数据调和和参数估计统一在数据处理的大框架中，为进一步的过程性能分析、操作状况评价以及在线优化提供可靠的基准，具有非常重要的工程应用价值；●将优化命题的形式扩展到更通用的形式。

By parameterizing the rotation transformation part of the orthogonal moving frame with four Euler parameters, a simplified optimization function is derived.

采用 4个欧拉参数对正交活动标架的旋转变换矩阵进行参数化，得到了一个简单的优化方程。

The stochastic expansions given here depend only on the independent normal random variables and curvature arrays, therefore they are easy to understand and to deal with.

f'(0)一f(二'，0)。二'为已知的自变量，相应的因变量和随机误差为y'和。'，0为p维未知参数，其参数空间为R中的子集习。在约束方程(2)中，甲(0)为k维向量k

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。