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线性空间的基

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Based on the linear MIMO model of Volterra system for blind identification, the blind identification method of Volterra system based on the basis of the noise polynomial vector space is presented.

基于 Volterra 系统盲辨识的线性 MIMO 模型,提出了基于噪声多项式向量空间基的 Volterra 系统的盲辨识方法。

Firstly, the definition of reverse cumulation span is given.

给出了反向累加生成的定义,主要讨论反向累加生成基矩阵构成,得到了反向线性累加生成空间。

Secondly, the generating basis matrix composition of reverse cumulation is discussed.

给出了反向累加生成的定义,主要讨论反向累加生成基矩阵构成,得到了反向线性累加生成空间。

Based on the ellipsoidal coordinates, we obtain the spacial distribution of electric potentials of a composite of a coated ellipsoid embedded in an infinite host via solving the Laplace equations and matching the boundary conditions. Meanwhile, we also obtain the partially resonant condition of the coated ellipsoid.

通过引入椭球坐标系,利用拉普拉斯方程及其边界条件,求出了带壳椭球颗粒镶嵌在无限大线性基质中的空间电势分布,并进一步得出了带壳椭球颗粒的部分共振条件。

Evidence suggests that 1 under more stable stratification, the basic flow, if moving faster at low and high levels (particularly in the presence of jets there), allows a resulting meso-β unsteady wave to propagate eastward with respect to basic flow and even at greater velocity compared with it; 2 vertical windspeed shear of basic flow causes instabilities of the TWT perturbation; 3 considering the second derivative of basic-flow wind with respect to z (denoted by zz≠ 0 which is simply given as β* hereafter) the expression for the phase velocity of vortex Rossby wave is obtained, which is unidirectional in propagation with respect to basic flow; 4 VRoW has its physical origin from β*, i.e., from z-varying heterogeneities of y-direction averaged vorticity of the basic flow field; 5 VRoW phase velocity is associated with zonal wave number k, its energy is dispersive and the group velocity exists in the x direction; 6 when windspeed meets the condition of β*, TWT disturbance instability may be that of mixed VRoW and gravity wave; 7 if basic flow is subject to linear shear but does not meet the condition of β*, the TWT instability is that of inertia-gravity wave.

在大气层结比较稳定的情况下,如果基本气流在低层和高层较大(有可能存在低空急流和高空急流),此时产生的β中尺度不稳定扰动相对于基流向东传播,甚至于快速向东传播。基本气流在垂直方向上的风速切变对于中尺度横波型的扰动起着不稳定的作用。如果考虑基流的二次切变,可以得到涡旋Rossby波的相速度表达式,涡旋Rossby波相对于基本气流是单向传播的。涡旋Rossby波产生的物理根源是基本流场的风速二次切变,亦即基本流场y方向的平均涡度在空间z方向上的不均匀所致。涡旋Rossby波的相速度与纬向波数也有关,它的能量是频散的,其在纬向x方向也存在群速度。在基本流场的风速存在二次切变时,横波型不稳定可能是混合的涡旋Rossby重力波的不稳定;而在基本流场的风速仅仅存在线性切变,不存在二次切变时,横波型扰动的不稳定则是重力惯性波的不稳定。

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Lao Qiu is the Chairman of China Qiuyang Translation Group and the head master of the Confucius School. He has committed himself to the research and promotion of the classics of China.

老秋先生为中国秋阳翻译集团的董事长和孔子商学院的院长,致力于国学的研究和推广。