解析函数

Based on the original research of the high order single step method ,this paper makes the research on the applicability of this method for the analytic expression of stiffness.

本文在原有高阶单步法研究的基础上对刚度为时间解析函数时方法的适用性进行了研究。

In Chapter 5, we study composition operators on some vector-valued analytic function spaces.

第五章研究了向量值解析函数空间上的复合算子。

We show that a 1-D signal and its derivative at different scales can be represented by one analytic function defined on the unit disc in the complex plane.

我们证明一个一维信号及其微分在所有尺度下可以用复平面上的单位圆上的解析函数来表示。

Lower order and proximate lower order of Dirichlet setries and random Dirichlet setries convergent on left half plane;2. The present paper gives lower side bitangent Laplace Stieltjes transformation and integral,θ linear lower order and proximate lower order of the analytic function defined by this transformation.

给出下侧二重 Laplace- Stieltjes变换与积分以及由该变换所定义的解析函数 f的θ线性下级与准确下级的定义；通过引入递减负实数列{λ- m}与{μ- n}，建立 f的θ线性下级存在的充要条件及其θ线性下级的下型与θ线性下级及其系数与指数的关系。

According to Liouville's theorem , any bounded complex analytic function defined on the whole complex plane is constant.

如上所述，实或复解析函数均在实变量的意义上无穷可微。

In this paper, we consider the properties of so_called N_analytic functions , integral formula of Cauchy type and the problem of Riemann boundary value.

研究了N 解析函数的性质、Cauchy型积分公式及相应的Riemann边值问题，然后将其结果应用到一类奇异微分—积分复方程的可解性理论中，建立了其特征方程解的积分表示式。

The boundary element method for the Riemann-Hilbert boundary value problems for the generalized analytic function uses Cauchy integral formula as the foundation . The singularity of the Cauchy

广义解析函数的Riemann-Hilbert边值问题的边界元方法是以Cauchy公式为基础，Cauchy核具有奇性，这是所面临的困难，可以设法利用Cauchy主值积分来解决，最后给出问题的解。

Furthermore, it can be changed into singular integral equations with Cauchy kernel by introducing Sherman transformation. Then , the numerical example of the elastic welding problem with symmetric cracks is given, and the stress intensity factors can be obtained.

通过应用平面弹性复变方法，把满足已知边界条件的弹性平衡问题转化为解析函数的边值问题，再通过引入Sherman变换，把边值问题化为Cauchy核的奇异积分方程组。

With theincrease of the orders of the analytical functions,CEM can get a good convergence.

随着所耦合的解析函数阶次的升高，计算结果收敛于真实解。

The results hold for any inclined coordinates, determined by unimodular transformation in .

所以有一族-函数都是解析函数的半纯扩张，在此我们也研究自然边界问题。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失