In this paper, for the function of Chebyshev expansion, the approximating function having the approximant's order of Chebyshev polynomials is given by means of Faber mapping and quadratic Pad é approximation of power series, and it is also expressed by the fraction of Chebyshev polynomials.

Frank-Kasper phase, with an icosahedral close-packed structure, Mg_ ( 32)( Al, Zn)_ ( 49), is considered as the 1/ 1 approximant phase analogous to its icosahedral quasicrystal.

Frank-Kasper相Mg32（Al，Zn）49是与其准晶相相对应的1/1近似相，它具有二十面体壳层密堆结构。

Based on the feature of the moving least squares ( MLS) approximant, polynomial basic functions and a weight function were chosen to meet the C1 continuity and the completeness of the interpolants in elastic plate bending problems.

基于滑动最小二乘（MLS）插值函数的特征，选择二次多项式基函数和指数型权函数，满足板弯曲问题对插值函数C1连续性和完备性的要求；

The function-valued Pad é-type approximant is defined by using introducing a function-valued linear functional on polynomial space, then it is applied to solve the second kind of Fredholm integral equations.

本文首次在多项式空间上引入了一种线性泛函，从而定义了一种函数值Padé-型逼近（FPTA），并将它应用于求解第二类Fredholm积分方程。

Theorem Two testifies the invariant property with independent variable fractional transformation; this property of multivariate matrix Pad é approximant is like that of one variable matrix Pad é approximant.

定理二证明多元矩阵Padé逼近与一元矩阵Padé逼近一样，具有自变量分式变换下的单应不变性；

Under the conditions that the electric field intensity E is weak ( E104V/ m) and the model size is small, we have obtained approximant by five different calculating methods.

在弱电场强度E（E10~4V/m）、小模型尺寸的条件下，用五种计算方法得到了比较接近的计算结果。

Based on the results of the edge anchor, several segments of the height data are selected and linear polynomial fitting are done using least square approximant on these segments separately.

根据台阶边缘检测结果，选取部分采样点数据，用最小二乘法进行直线拟合。

The same side approximant consonant and nose tail combination, stressed syllables in vowels than unstressed vowels in nasal degree.

与边通音声母和鼻尾结合的组合中，重读音节里的元音要小于非重音里元音里的鼻化度。

Rayleigh-Sommerfeld theory of planar screen diffraction is extended to spherical cases, related diffraction formula and its far field approximant within the spherical coordinate system are produced.

本文采用标量衍射理论导出球面屏衍射的瑞利-索末菲公式及其远场近似。

In the work, an one order approximant for the mapping between the pressure and the specific volume in two phase regime was presented by Taylor series expansion.

本文通过引入两相流区压力和比容之间的一阶近似式，获得该问题的一阶近似积分解。

In the first part, theory and method of the function-valued Pad é-type approximant ( FPTA) is studied.

第一部分是对函数值Padé-型逼近的理论进行了研究。

Two new view points were used when we analyse the structure of the quasicrystal approximant: the icosahedra atom cluster and the layer structure.

用两种新视角来诠释准晶近似相的结构，即二十面体原子团簇和层状结构。

Application of the Pade' Approximant(∈& Algorithm) to the Convergence Acceleration of the Hypergeometrical Function

Pade′逼近（∈&算法）和超几何函数的快速收敛

A new finite difference wide angle beam propagation method is developed by introducing the least squares expansion approximant in the propagator expansion.

用最小平方逼近展开传播算子，实现了一种新的半矢量显式高阶有限差分光束传播方法。

Meyer Approximant of Time Optimal Controls

时间最优控制的Meyer逼近

The work in this thesis can be summarized as: Five structure of the quasicrystal approximant were studied.

总之作者在本论文中的工作可以归纳为：确定了五种准晶近似相的结构，尝试了两种新方法，一种是联合利用电子显微学和单晶X射线衍射来确定准晶近似相中的复杂结构；

In this paper, three theorems about algebraic properties of multivariate matrix Pad é approximant are given.

文章给出关于多元矩阵Padé逼近代数性质的三个定理。

Computation Formulas of Generalised Inverse Pad é Approximant Using for Solution of Integral Equations

用于积分方程解的广义逆函数值Padé逼近的计算公式

Theorem One testifies the duality property of multivariate matrix Pad é approximant.

定理一证明矩阵Padé逼近的对偶性质；

Glauber's multiple scattering theory and approximant treatment

Glauber多次散射理论和近似处理

Analysis on Features of Plosives and Approximant/ r/ with the Contrastive Study of Their Phonemic Systems for Both English and Chinese& A Discussion in Addition with Professor Wang Gui-zhen

英语爆破音、无摩擦延续音/r/的发音特征及其英汉音位系统的对比研究&兼与王桂珍教授商榷