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The results agree with the ones of numerical integration along real axis.

采用此方法能大大节省计算时间,所得结果与沿实轴数值积分结果吻合很好。

We prove that the imaginary part is a smoothed second derivative, scaled by time, when the complex diffusion coefficient approaches the real axis.

我们证明了虚部分是一个平滑的二阶导数,按时间,按比例在复杂扩散系数的办法实轴

All asymptotes intersect the real axis at a single point, at a distance

to the origin:(所有的渐近线与实轴交于一点,与原点的距离为

For , these poles are on the negative real axis, on both sides of , the transient is a sum of two decaying exponentials, each with its own time constant.

当 时,这些极点在负实轴上,在的两边,瞬态响应为两个不同时间常数指数衰减曲线之合。

First, the FD results are compared with those obtained by a Real Axis Integration method for a monopole source in an open borehole vertically imbedded in homogeneous formation.

首先,针对均匀地层中单极子声源在裸眼井中激发的声场,将有限差分的结果和实轴积分法的结果进行对比验证。

With complex analytical analysis for B, the fixed points of B at real axis and C-plane are found. It is proved that zero is the only attract fixed point and the iteration of B on the complex plane is symmetrical. And the domains of the constringency and the divergence of B are given.

通过对B的复解析分析,得出了B在实轴和复平面上不动点的性质与求解方法,证明了0点为唯一的吸引不动点;说明了B在复平面上迭代的对称性,求出了函数迭代在整数点处的敛散区域。

These result showed that the impedance spetrums of YSZ thin films were well-defined semicircles and the center of the semicircles was below the real axis.

其结果表明:YSZ薄膜的阻抗谱是一个完整的半圆,圆心稍低于实轴

In the thermodynamic limit, the zeros accumulate nearly the transition point z_0 in the real axis and the density of zeros near z_0 determines the order of the phase transition.

在热力学极限下,配分函数零点在正实轴上集聚的那些点z_0给出了相变的位置,同时在z_0附近的配分函数零点密度决定了相变的类型。

In comparison, it is proved that the wave functions occuring in the two formalisms are identical, apart from a constant multiple which represents the scalar product of the wave functions of a bare nucleon and a dressed nucleon.

这个常数倍即是物理核子及裸核子的波函数的内乘积。第二,我们讨论了一般的含有二个h函数的Chew-Low方程的解,方程的形式使它们在实轴上在(1,∞)及(-1,-∞)二段上不连续。

As a result, we establish the theorems of its solvability according to the known theory.

最后,提出了一类实轴上的双解析函数Riemann边值逆问题。

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这两个团体间的分歧难以掩饰。

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