数学上，它是调和函数内向连续问题。
Mathematically, it is the solution of a harmonic inward continuation problem.
本文给出调和函数极值原理的一种推广。
The note gives an extension of extremum principle for harmonic functions.
本文的方法比列赫尼茨基的重调和函数法更为简便。
The method in this paper is much more convenient than that of Lekhniskii's with biharmonic function.
压电结合材料问题的求解，可以归结为寻找合适的调和函数。
The solution of the problem for the bonded piezoelectric materials can be summed up to find the appropriate harmonic function.
本文使用不变加权面积平均值性质刻画了单位圆盘内的调和函数。
In this paper, we give a condition for harmonic functions in the unit disk by invariant weighted area-mean-value property.
这些结果能被用来研究共轭调和函数的可积性并且估计它们的积分。
These results can be used to study the integrability of conjugate harmonic functions and estimate the integrals for them.
该方法从分析球面调和函数入手，首先得出环境贴图的二次多项式表达形式；
The approach starts from an analysis of spherical harmonics and finds out a quadratic polynomial form of environment mapping.
第三章：作者研究了某一类负系数的单叶调和函数，得到它的一些充要条件等。
In the last chapter: the author investigates certain kind of harmonic univalent function with negative coefficients and obtain some sufficient-necessary conditions for this new kind function.
文章还导出了广义调和函数系，并证明了它在平面边界上是一个完备系，可作为权函数系。
Moreover, the paper derives a generalized compatibility function system which is proved a complete system on the boundary of plate, and can be considered as the system of weight function.
它共分六个部分：映射定理；单叶调和函数的数值估计；特殊映射；变分方法；境界性质和在极小曲面中的应用。
It contains six parts: mapping theorems, numerical estimations of univalent harmonic functions, special mappings, variational method, boundary behavior and applications to minimal surfaces.
提出了一种基于传感器和模糊规则的智能机器人运动规划方法，该方法运用了基于调和函数分析的人工势能场原理。
This paper presents a sensor-based intelligent robot motion planning using fuzzy rules for the idea of artifical potential fields based on analytic harmonic functions.
根据3 -D数据的优势，利用图像成像原理和球面调和函数理论，结合3 - D投影原理和PC A技术建立了一个3 - D人脸模型。
A 3-d face model is constructed by the imaging theory and spherical harmonics, combining with the principle of 3-d projection and PCA.
本文的第四章研究的是单叶调和函数模的偏差估计，我们将拟共形映射理论与调和函数理论相互结合起来，用新定义的角伸缩商宋对单叶调和函数的模给出新的估计。
We research it by some new knowledge combining the quasiconformal theory with the harmonic theory. A new estimate of modulus is given which is relation to the angular dilatation.
本文的第四章研究的是单叶调和函数模的偏差估计，我们将拟共形映射理论与调和函数理论相互结合起来，用新定义的角伸缩商宋对单叶调和函数的模给出新的估计。
We research it by some new knowledge combining the quasiconformal theory with the harmonic theory. A new estimate of modulus is given which is relation to the angular dilatation.
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