变分法

A variatioual calculation of the energy of the-2s2 is state of helium has been carried out with the use of a wave function of the Hylleraasian typo. The wave function is where s,t u are in units of 4 times the first Bohr radius of hydrogen.

本文以变分法计算2s~21~S态氦原子之能量，所用之波函式，即：=e~(-0.2278s){1-0.17079s-0.063155u-0.013869t~2 +0.010044u~2+0.0064785s~2}上式中之s，t，u均以4倍於氢原子之第一Bohr半径为单位。

The exact form of exterior boundary value problems for plane potential problem is established with variational principle.

使用变分法确立平面 Laplace外问题的确切形式；在此基础上，为了避免使用无限区域上的 Green公式，通过构造紧支集上的无穷可微函数，获得满足非齐次控制微分方程的特解的重要结果。

Optimal control theory is a generalization of the calculus of variations.

变分法寻求优化的目标界定了许多时间点，考虑如何目标函数的变化，如果有一个小变化，选择的道路。

As a branch of mathematics, the birth of calculus of variations is the phenomenon results of many of the world's scientists continue to explore the reality.

变分法作为数学的一个分支，它的诞生是科学家对现实世界许多现象不断探索的结果。

The analysis of Rayleigh loss influence on optical soliton transmission is presented by peturbation, variational and numberical methods.

本文研究了存在瑞利散射损耗时对光孤子传输的影响，分别采用了微扰法，变分法及数值分析。

We must seek two main approximation methods of solution , the variation method and perturbation theory

我们必须寻求两个主要的近似解法、变分法和微扰法。

The Ritz method We set expressions of components of displacement that satisfy the boundary conditions of displacement , which contain several undetermined coefficients.

§10-3 位移变分法 10一瑞次法先设定满足位移边界条件的位移分量的表达式，其中包含若干个待定的系数，再根据极小势能原理，决定这些系数。

The relatively new finite element method and associated variational methods are developing into important numerical tools.

相当新的有限单元法和相关的变分法正在发展为重要的数值手段。

At present, people usually solve ill-posed problems by variational method anditerative method.

目前，人们通常采用两种途径求解不适定问题：一个是变分法，一个是迭代法。

In addition, some comparisons have been made between variational method and elastic theory method in this paper, proved the former to be a faster and efficiency method.

另外，本文还对变分法和弹性理论法在壁板桩中的应用进行了初步对比，二者结果相当，但是前者求解更加快速。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。