解析的

Moreover, existence of analytic solutions for a linear iterative equation with variable coefficients is given by reducing to an auxiliary equation and using Schauder's fixed point theorem.

此外，本章还使用Schauder不动点定理，通过建立辅助方程，研究了变系数的线性型迭代方程解析解的存在性。

Moreover, existence of analytic solutions for a linear iterative equation with variable coefficients is given by reducing to an auxiliary equation and using Schauders fixed point theorem.

此外，、本章还使用Sehauder不动点定理，通过建立辅助方程，研究了变系数的线性型迭代方程解析解的存在性。

The proportions of relative intensity for the front three pieces of Lyman and Balmer series are obtained.

M athem atica是以符号运算为主的数学软件，用它可得到解析符号解和任意精度的数值解[2]。

The relation of displacement of tympanic membrane to sound pressure was educed by using the Bessel function; subsequently the analytic solution was obtained.

并利用贝赛尔函数建立耳膜位移与声压的关系，得到耳膜位移的解析解。

In the DU FEL, an additional undulator with period close to the betatron wavelength in the main undulator is introduced to provide an additional mechanism of bunching.

我们建立起了包含了空间电荷效应的DU-FEL非线性理论，并在此基础上对高增益康普顿区及喇曼区DU FEL的增益及转换效率进行了解析分析和数值模拟研究。

A periodic oscillation analytic solution for the system at bifurcation point was obtained by using the method of series.

利用级数法求出了系统在分歧点处的时间周期振荡解的解析表达式。

In part two, we present a theoretical investigation on the thickness dependence of the exchange bias and the coercivity in FM and AFM bilayer systems, in which the exchange coupling at the interface includes both the bilinear and biquadratic terms.

在第二部分里，我们在理论上解析地给出铁磁和反铁磁双层膜系统的交换偏置和矫顽场随铁磁层、反铁磁层厚度的关系式，其界面耦合包含二次、双二次耦合，铁磁层、反铁磁层厚度均有限。

The development of computer and numerical analysis techniques makes it possible to simulate the complex phenomena in blast furnace.

计算机和数值计算技术的发展使得对高炉过程复杂现象的综合理论解析成为可能。

Based on the analysis model, the ultrasonic transfer on the horn of wire bonder was studied.

摘要基于解析模型的方法，研究了超声波在热超声金丝球引线键合机变幅杆中的传递规律。

Many typical problems are studied and compared with boundary collocation method, traditional finite element method and analytical methods. The results indicate that the method is accurate and simple for stress intensity factor computation and is easy to be used in practical engineering.

文中作了大量的裂纹应力强度因子计算，与边界配置法、传统有限元法以及解析法进行了系统的比较，结果表明该方法用于应力强度因子计算不但精度较高，而且简便易行，便于工程实际应用。

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