解析函数

In the case of strong nonlocality, the response function can be expanded in Taylor's series, so that the variational problem can be found in a closed form.

在强非局域的情况下，通过对介质响应函数进行泰勒展开，可以解析地表示变分问题。

In order to analyze and correct this effect, the method to calculate turn-off time is given. According to theoretical TEM response of multiturn loop source, TEM response affected by linear and half-sine turn-off current was calculated, and Taylor's series expansion was used by calculating TEM response of half-sine turn-off current. The two mode's responses, linear mode's response and half-sine mode's response, were analyzed in turn-off time 2μs-100μs.

为了分析和校正这种影响，文中给出了关断时间的计算方法，根据多匝回线源产生的瞬变场理论解析式，计算了线性和半正弦关断电流影响下瞬变场表达式，计算半正弦关断电流产生的瞬变场时将正弦函数进行泰勒展开；分析了关断时间在2 μs~100 μs之间两种关断模式产生的瞬变响应。

A method for analytical calculation of the resonance length for ultrasonic torsional fatigue samples is recommended. The angular displacement amplitude and torsional stress/strain amplitude on the surface of samples are derived.

介绍了一种超声疲劳扭转试样谐振长度解析计算方法，并给出了扭转谐振状态下试样表面的角位移和应力应变分布函数。

Starting from the classical motion equation of a domain wall in the ferromagnetic system, the analytic wavefunction was obtained by using canonical quantization method and unitary transformation .

从铁磁畴的能量方程出发，利用正则量子化方法和么正变换技术，解析地求得了磁畴量子化运动的波函数。

From comparison of the optimized solution with the analytical for the testing functions, the feasibility and validity of the proposed VIGA has been verified.

通过对测试函数解析解及不同优化策略所得优化结果的对比分析，VIGA的可行性和有效性得到证实。

Based on the extended Huygens-Fresnel principle and the quadratic approximation of phase structure function, we have derived the analyticl expression of the spatial degree of coherence for partially coherent flattened beams propagating through the slant turbulent atmosphere with the help of tensor integral, then analyzed the effects of different zenith angle, propagation distance, coherence of source and outer scale of turbulence on the spatial degree of coherence on the receiver.

基于广义惠更斯-菲涅耳原理和相位结构函数的平方近似，运用张量积分的方法导出了部分相干平顶光束通过斜程湍流大气传输后接收面光束空间相干度的解析表达式，分析了不同天顶角、传输距离、光源相干性以及湍流外尺度对接收面光束空间相干度的影响。

Based on the interference theory of light wave and Mie′s scattering, atheory of the quasi-waveguide has been developed for the first time,which,in two aspects,represents the property of the mode spectrum in aquasi-waveguide e.g.the analytic expression of the reflection intensity asa function of the incident angle,and that of the scattered intensity as afunction of the output angle.

基于平面波的光波簇干涉理论和米氏散射，发展了准波导理论，首次给出了从两个不同侧面表征准波导模谱特性的反射光强度与入射角以及散射光强度与输出角的函数关系解析式，并确认其m-线的产生源于米氏散射光及其干涉效应所致的选模作用。

Using three dimensional fluxional function , the rolling force and energy parameters of oval round pass sequences for hot continuous bar rolling were analyzed.

采用三维流函数法对棒材热连轧时的椭圆-圆孔型系统进行了力能参数的解析，其结果与实测结果符合很好。

Trioxial fluxional function is applied to the analysis of the rolling process of bars/wires with special crowned/concave rolls, by which a result is obtained as the same one from flat rolling.

采用了三维流函数法凸凹形辊棒材轧制过程的解析，得到了与平辊轧制时相同的效果。

Studies on the potential energy curves of halogenate calcium molecules CaX (X=Br, Cl, F) in ground and low excited states using energy consistent method

欢迎光临《原子与分子物理学报》网站！用能量自洽法研究部分卤化钙分子CaX (X=Br， Cl， F)的解析势能函数

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