查询词典 imaginary axis

First we prove that 0 is an eigenvalue of the operator with geometric multiplicity one,next we prove that all points on the imaginary axis except for zero belong to the resolvent set of the operator,last we prove that 0 is an eigenvalue of the adjoint operator of the operator.

首先证明0是对应于该排队模型的主算子的几何重数为1的特征值，其次证明在虚轴上除了0以外其他所有点都属于该算子的豫解集，然后证明0是该主算子共轭算子的特征值。

First we prove that all points on the imaginary axis except for zero belong to the resolvent set of the operator corresponding to the model, second prove that 0 is an eigenvalue of the operator and its adjoint operator with geometric multiplicity and algebraic multiplicity one,last by using theabove results we obtain that the time-dependent solution of the model str.

首先证明在虚轴上除了0以外其他所有点都属于该算子的豫解集，其次证明0是对应于该系统的主算子及其共轭算子的几何与代数重数为1的特征值，由此推出该系统的时间依赖解当时刻趋向于无穷时强收敛于系统的稳态解。

For certain random Dirichlet series in the right half plane, we prove that almost surely every point on the imaginary axis is Borel point with no exceptional small functions.

研究了涉及小函数的随机Dirichlet级数，证明了对于右半平面上的随机Dirichlet级数，它几乎必然以虚轴上每一点为其没有例外小函数的Borel点； 3。

By spectral analysis of the system, we find that 0 is the uniquespectral point of system on the imaginary axis.

同时通过研究系统算子的谱特征，证明了系统算子的谱点均位于复平面的左半平面且虚轴上除0外无谱，进而得到系统的渐近稳定性，特别在范数意义下系统的动态解收敛到稳态解。

Non-condition stability means the radixes of character equations couldn't reach the imaginary axis while the increasing of τ from 0 to+∞.

无条件稳定意味着τ从0增加到+∞的整个过程中，特征方程的零点不能达到虚轴。

The transcendental characteristic equation is converted into a polynomial equation at the imaginary axis without any substitutions.

针对具有单输入反馈控制的单时滞电力系统，提出了一种求解时滞稳定裕度的简便方法。

Because it can pull the loci, or parts thereof, away from the imaginary axis,deeper into the left-half plane.

对根轨迹或部分根轨迹有拉的作用，使根轨迹远离虚轴，向更左的左半平面移动。

The vertical axis is therefore called the imaginary axis.

因而纵轴称为虚轴。

Secondly, a conjecture about the stability for these systems is proposed based on the sufficient and necessary condition of the isolated transfer function being positive real. When the zeros and poles of the transfer functions lie in the imaginary axis, a known conclusion is derived from the conjecture; while the zeros and poles are on the real axis, a new result is obtained and is proved in this note. Finally, according to the conjecture, an example with poles existing on the complex plane is presented, which is not only interesting but also challenging.

然后， 基于所有孤立部分传递函数都正实的充分必要条件给出了上述系统为稳定的一个猜想，当传递函数的零极点都位于虚轴上时，由这一猜想得到了一个已知的结论；当传递函数的零极点都位于实轴上时，由这一猜想得到了一个新的结论，本文证明该结论是正确的；最后，根据这一猜想，给出了传递函数极点位于复平面的一个例子，它涉及到一类系数矩阵为时变正定矩阵的振动方程的稳定性问题，值得去深入研究。

It is proved by the analytical and numerical method that the modulus of the Z transform of a finite impulse response sequence has no extreme values at poles (with maximums along imaginary axis and no extreme values along real axis), and the negative second order derivative of the modulus normalized along frequency axis with respect to angular frequency has maximums at the poles.

根据实测瞬态电磁脉冲响应，较好地反演了导体球和导体长椭球的冲激响应，测得了它们的雷达截面和谐振频率。用解析与数值相结合的方法证明了有限冲激响应序列Z变换的模在极点无极值（沿虚轴有极大值，沿实轴无极值），而沿频率轴的归一化值对角频率的负二阶导数在极点有极大值。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。