级数

Based on the basic elastic equations and series expansion, the paper presents the general solution of antiplane interface end.

利用位移函数的级数展开，对任意角度的反平面问题界面端的应力场进行了分析研究，得到了全场解。

In this paper,in consideration of air medium inside the hole defects acting on the electric field, a coupled field of antiplane strain problem for the piezoelectric material with an elliptic hole is analyzed with an expression for potential function of complex veriable in Faber series.

考虑椭圆孔内空气介质对电场的作用，用复变函数的Faber级数展开方法，分析了含椭圆孔的压电材料反平面应变问题的耦合场，给出了问题的精确解。

It is pointed out that Ming Antu was the first inventor of Catalan numbers in the world . He constructed one geometric model, in which some infinite series with Catalan numbers as coefficients were contained.

指出了明安图是世界上第一位卡塔兰数的发明人，他构建了一个几何模型，在这个几何模型中包含了用卡塔兰数作为系数的无穷级数。

We have also studied the kinetics of the cyclohexene epoxidation catalyzed by 2 with TBHP and the apparent reaction order, frequency factor and activation energy are obtained.

本文对该反应的动力学及热力学性质也进行了研究，确定了表观反应级数、速率常数和反应活化能。

And solutions given by the"exact"infinite series solution are compared with solutions calculated by the approximate formula.

比较了"精确的"无穷级数解法和高频近似解。

And the time needed for calculation using approximate formula is only 2/5 the time for"exact"intinite series solution.

且用高频近似式计算时所用机时仅为用"精确的"无穷级数解法计算时的五分之二。

Firstly part of quadratic term of Taylor series is chosen; a low-dimension surface is used to approximate limit state surface ; and the modified reliability formula is derived.

首次选取泰勒级数的部分二次项，用一个距原点最近点处拟合的超低维曲面近似极限状态面。

This research has studied the validity of vector diffraction field series solution and nonparaxial approximate solution.

本课题研究了矢量衍射场的级数解和非傍轴近似解的有效性。

The results show that to obtain an approximate value of the phase transition point, using the asymptotic series method not only can achieve high accuracy but also has the great advantage of fast computation.

结果表明：对于求相变点的近似值，采用渐近级数展开法不仅能达到很高的精度，同时还具有计算量小的突出优点。

The algorithm is implemented by Fourier transform to obtain the real part and imaginary part of voltage based on digital sampling; and by trigonometric function to gain the sine or cosine dynamically; and then by Taylor series binomial of arc sine function to acquire the actual angle.

通过对数字化采样进行傅立叶变换获得电压的实部和虚部，动态地求取相位角的正弦值或余弦值，然后采用其反函数的泰勒级数二项式得到相位角度。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。