重调和的

Now we study the properties of four multi-layer potentials and their high deriva-tives of biharmonic equation in the plane when they approach the boundary of adomain.

我们研究了重调和方程四种多层位势及其高阶微商在边界附近的性质，得到了这些微商新的表达式，从而将重调和方程的自由边值问题归化为新的边界积分-微分方程组。

Based on linear bending theory of thin elastic plate and fundamental solution constructed with the general solution principle of biharmonic equation, a meshless method was developed for establishing a computational format of numerical solution of thin plate bending.

基于弹性薄板的线性弯曲理论和重调和方程的一般解理论构造的基本解，建立无网格法求解薄板弯曲问题的数值计算格式。

In Part I, the biharmonic equation are chosen, and the boundary peanlty finite method using piecewise cubic Hermite elements is used to seek their approximate solutions, in particular satisfying the derivative and periodical boundary conditions.

在第一部份里，选择使用片断三次 Hermite元素的边界惩型有限元素法来求解满足边界导数条件和边界周期条件的重调和方程式的近似解。

ABSTRACT For an infinite soft ferromagnetic elastic crack material, the controlling equation for the plane problem is derived based on the linear theory of Pao and Yeh. Then it is reduced to a biharmonic equation combined with a harmonic equation.

对处于面内磁场中的含穿透裂纹无限大软铁磁弹性体，本文基于Pao和Yeh的磁弹性耦合线性化理论，通过推导，把问题的控制方程表示成一个重调和方程和一个调和方程，而得到问题的复势解。

It can be extended to solve partial differential equations with higher order such as KdV equations and biharmonic equations.

该方法可以推广到更高阶的方程，如Korteweg-de Vries方程、重调和方程等。

This paper mainly researches the Clamped Plate problem(or the eigenvalue problem of Dirichlete biharmonic operator) on n-dimensional complex ball,and we obtain an inequality for biharmonic operator on n-dimensional complex ball.

主要对n-维单位复球Bn的Clamped Plate问题(或Dirichlete重调和算子的特征值问题)进行了研究，得到了复球上重调和算子的特征值不等式

It is the first time to have the theorem of orthogonal decomposition, a theoretical kernel in inverse gravimetric problem, realized in practice.

文章针对物理大地测量学反问题研究中的拟调和性重力场源及重调和性重力场源，将该研究中的理论核心——正交分解定理予以具体实现。

As known, using the porential theory Green's tormulae and the fundamental solutions wecan reduce the harmonic and biharmonic elliptic boundary value problems to integral equationson the boundary.

我们熟知，利用位势理论或由Green公式及基本解出发区域内调和及重调和边值问题可归化为边界上的积分方程。

We first show that the multiple harmonic Ritz values have only one harmonic Ritz vector associated with them in algebra.

用代数方法证明对每个重调和Ritz值，只有一个线性无关的调和Ritz向量与之对应。

Chinese Vietnamese people for self-catering to reconcile the yin and yang of food culture, cooking the most refreshing, the flavor, put only a few spices, fish sauce, vegetables and flowers, such as Green Lemon is one of the essential seasoning, cooking, barbecue, stew boil , Cold-based, pan fried to less heat.

越南人承自中国饮食阴阳调和的饮食文化，烹调最重清爽、原味，只放少许香料，鱼露、香花菜和青柠檬等是其中必不可少的佐料，以蒸煮、烧烤、熬焖、凉拌为主，热油锅炒者较少。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷