calculus of variations

1. Study on Parameter Constraints Estimation Based on Calculus of Variations
   基于变分法的参数约束估计方法研究
2. Using theorems for calculus of variations, the algorithm of image restoration is strictly proved.
   用变分法的理论重新证明了无约束图像恢复算法的结果。
3. The Calculus of Variations from Euler to Lagrange: As a Result of Formalized Improvement
   变分法的一次变革：从欧拉到拉格朗日的形式化改造
4. On the Method of the Calculus of Variations in Mathematical Physics
   关于数学物理中的变分方法
5. The inverse problems in Hamilton and Gurtin Calculus of Variations for coupled dynamic piezoelectric media were studied.
   研究了压电材料耦合动态场中Hamilton型和Gurtin型变分原理的逆问题。
6. Semicontinuity Problems in the Calculus of Variations
   变分泛函的半连续性问题
7. According to the virtual displacement principle for contact-impact problems, the equation on calculus of variations about wheel-rail contact is developed as its determined boundary conditions being released based on the penalty way.
   通过确定落轴冲击问题的轮轨接触条件，根据接触冲击响应的虚位移原理，将轮轨接触边界条件用罚函数法释放，确立轮轨接触变分方程；
8. The electromagnetic wave paths in plasma spheres are given by calculus of variations. The relationship between the electron density in plasma spheres and the reversal of electromagnetic wave and the reduction of RCS of a target is discussed.
   用变分法给出了电磁波在等离子体球中的轨迹，讨论了等离子体自由电子密度分布与电磁波的返转点、目标的RCS缩减的关系。
9. Discussion on the approach of double trigonometric series to the application of calculus of variations in solving plane problems
   平面问题变分解法使用重三角级数问题的讨论
10. In this paper, fundamental equations and boundary conditions of the nonlinear bending theory for a rectangular sandwich plate with a soft core are derived by means of the method of calculus of variations.
    本文应用变分法导出了具有软夹心的夹层矩形板的非线性弯曲理论的基本方程和边界条件。
11. Considering the limitation in calculus of variations, the authors introduce control variable with which a piecewise continuous time model of election based on calculus of variations is newly established.
    基于变分法的局限性，在其基础上引入控制变量u，构建了一个分段时间连续的选举模型。
12. A criterion of orbit stability in the general central force field is given by calculus of variations.
    根据有心力为保守力这一特性，利用变分法给出了有心力场轨道稳定性的判据。
13. If using sensitivity analysis which is based on the calculus of variations in the shape optimization, the sensitivity analysis can be a relatively independent module. The efficiency of computing the design velocity field and the quality of mesh will be improved by using Herrmann method.
    在形状优化过程中，采用基于变分法的敏度分析，可以使敏度分析成为单独模块，在进行设计速度场求解时采用Herrmann法，使速度场求解的效率和优化过程的质量得到保证。
14. The method presented here meets these requirements, allowing a solution of the problem using the calculus of variations.
    本文所提出的方法满足这些要求，借助于变分原理来解算这类问题。
15. In accordance with the behaviors of roll of cluster mills during rolling process, a limited unitary pattern and calculation sequence for analysing the stable temperature field-in rolls of cluster mills are established by applying calculus of variations.
    本文根据多辊轧机轧辊在轧制过程中的特点，应用变分原理建立了求解轧辊稳态温度场的有限单元法模式和计算程序；
16. The calculus of variations and the theory of nonlinear-monotonic operators in Banach space
    Banach空间中变分法和单调非线性算子理论
17. The essay is mainly dealt with wave function and energy transformation of quantized poten-tial trough by calculus of variations, compared with method of perturbation.
    本文用变分法研究了量子势阱的波函数和能量漂移，并与微扰法进行了比较。
18. This paper studied unconstrained optimization of MHD generator duct on the basis of quasi-one-dimensional model using the modern calculus of variations.
    本文基于准一维流动模型运用近代变分法研究了磁流体发电通道的无约束最优化问题。
19. Perturbation Theorems for Nash Point Equilibria in the Calculus of Variations
    关于变分法中Nash平衡点的扰动定理
20. By means of the theory of continuum of LC, the Gibbs free energy is deduced and the equilibrium equations and the boundary conditions are received applying the calculus of variations.
    用液晶连续体理论，导出系统的Gibbs自由能，泛函求极值得到平衡态方程和边界条件。
21. A new method to systematically study the inverse problem in calculus of variations is given.
    通过变积概念的引入，给出了系统地研究变分学中逆问题的一种新途径。
22. The Euler-Lagrange Equations in the Calculus of Variations and their Simple Applications
    变分法的Euler-Lagrange方程及其应用
23. With the method of calculus of variations, a most optimal consumption ratio is confirmed, which is helpful for the development of economics.
    利用变分法确定了使经济快速发展的最优消费比率；
24. Secondly, some basic theorem and deducibility of the theory of the calculus of variations are explained simply, and the two things based on the problems of variations of the changeless boundary and the movable one are discussed.
    然后对变分原理的一些基本定理、推论进行了简单的介绍，并对固定边界变分问题和可动边界变分问题两种情况进行了讨论；
25. The calculus of variations of quantum human body;
    量子人体的变分法；
26. The main methods are calculus of variations, finite element method and boundary element method.
    所用的研究方法主要是变分法、有限元法和边界元法等。
27. The necessary conditions of the OCP for polymer flooding were deduced by using calculus of variations. Both continuous and discrete cases are studied.
    利用变分法推导了连续与离散情形聚合物驱最优控制问题的必要条件。
28. A two-parameter calculus of variations approach is then adopted to verify the results.
    为了检验我们的结果，我们同时采用了双参数变分法进行计算。
29. The symptoms of traditional Chinese medicine curative effect and calculus of variations.
    中医症状的积分变化及疗效。
30. Set out the optimal damping curve of the equation use of calculus of variations principle.
    运用变分法的原理，列出最优阻尼曲线的方程。

noun

1. the calculus of maxima and minima of definite integrals