每个坐标所乘的变分参数叫定标因子。
The variational parameter multiplying each coordinate is called a scale factor .
该方程组涵盖了变分问题的各种欧拉方程。
The complete Euler equation set contains all kinds of Euler equations of the variational problems.
首先改进互补变分原理。
应用拉氏乘子法推导有先决条件的广义变分原理。
The derivation of generalized variational principles with preconditions by the use of the Lagrange multiplier method.
无论线性或非线性二阶变分都给出不稳定性判据。
The second variation, linear or nonlinear, gives the criteria of instability.
首先推导出波导探针输入阻抗的一般变分表达式。
A general expression of incident impedance of probe in waveguide is deduced first.
利用变分原理得到平衡微分方程组和相应的边界条件。
By variational principle we obtain a system of differential equations and corresponding boundary conditions.
均值场变分方法是图模型最基本的变分近似推理方法。
The mean field variational method is a basic variational approximate inference method.
水文和水文气象数据的实时变分同化进入业务水文预报。
Real-time variational assimilation of hydrologic and hydrometeorological data into operational hydrologic forecasting.
然后根据这个估计式，将问题化成求解一个条件变分问题。
Using this estimate, it may be simplified to solve a problem of the conditional variation.
已有的一些文献指出，薛定谔变分原理中的极值是极小值。
Some references indicated that the extremum in the Schrodinger variational principle is a minimum.
证明了变分同化是提高预报准确率的一种非常有效的手段。
It is suggested that the variational assimilation is an effective skill to improve the prediction accuracy.
变分方法可以自然的将复杂的分割转化为泛函的极值问题。
Variational method could naturally convert complex segmentation into a variational functional optimization problem.
这种新的变分原理能反映动力学初值-边值问题的全部特征。
The new variational principles can fully characterize the initial-boundary-value problem of this dynamics.
同时采用对偶方法来避免全变分项的非光滑性和高非线性性。
The algorithm also adopts dual method to avoid the nonsmooth and highly nonlinearity of total variation term.
使用变分方法，推导了这类反应器边界温度控制的必要条件。
Using variational calculus, necessary conditions for boundary temperature control of the reactors have been derived.
本文给出了平面与空间接触问题的带参变量的变分极值原理。
The parametric extremum variational principles are deduced for the plane and three dimensional elastic contact problems.
在此意义下，把变分问题归结到边值问题，反而将问题复杂化了。
Under this significance, it sums up the variation question to the boundary value question, instead complicated question.
用变分有限元方法对描述地下流体渗流的偏微分方程进行了分析。
The partial differential equation of flow in porous medium has been studied with variational finite element method.
本文研究和开发了一个变分几何的参数化造型系统(VGPDA)。
In this paper, a variational geometry based parametric modelling System (VGPDA) is explored and developed.
本文利用横向谐振法结合变分技术分析了屏蔽平面传输线的色散特性。
The dispersion characteristics of the shielded planar transmission lines are analyzed by the transverse resonance method combining with variational technique.
本文的工作就是多普勒雷达资料在MM 5模式中的四维变分同化试验。
This paper does the experiments of Doppler radar's Four-dimensional Variational Assimilation in MM5 model.
变域变分是一种处理未知界面的独特工具，极适合于气动外形的设计求解。
The variable-domain variation is a specific tool of handling unknown boundaries and suitable for designing airfoil shape.
我们知道，扰动优化或变分原理在非线性分析领域中也起到了很大的作用。
As we know, perturbed and optimization and variational principle play an important role in nonlinear analysis.
再得到与之对应的各类变分原理，界限定理，第二阶段问题的边界积分方程。
Then correspondently, we obtain the specific variational principles, bounded theorems, and boundary integral equations of the second stage problems.
实例分析表明：变分差分方法对复杂区域具有较强的适应性和较高的求解精度。
The example shows that the variational\|difference method has well adaptability and precision for complex region.
本文以“修正的变分方法”为基础推导了一种新的飞机壁板结构动力分析方法。
Based on "modified variational method", a new dynamic analysis approach of aircraft panels has been derived in this paper.
然后应用拉氏乘子法于有限变形回弹变分原理建立有限变形广义回弹变分原理。
Then, Lagrange arithmetic operator is applied in variation principle of finite deformation resilience to establish a generalized variation principle of springback.
然后应用拉氏乘子法于有限变形回弹变分原理建立有限变形广义回弹变分原理。
Then, Lagrange arithmetic operator is applied in variation principle of finite deformation resilience to establish a generalized variation principle of springback.
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