平方

It is proven that the radial wavelet family generated from a single radial wavelet can constitute a frame in L〓 and the square integrable function can be reconstructed from its dyadic radial wavelet transform.

得出这样的结论：由一个本质上为一维的径向小波的伸缩和平移可以构成n维平方可积函数空间L〓的框架。

Sensitivity function and control sensitivity function are obtained by Youla parameterization of controller,which is used to describe an integral square performance criterion containing tracking error and control energy.

由控制器Youla参数化得到控制系统的敏感度函数和控制敏感度函数用来表示一个包含跟踪误差和控制能量在内的积分平方性能指标，针对不同类型的时滞过程运用谱分解的方法最小化该性能指标，从而导出相应控制器的设计方法，可使系统在控制能量约束条件下具有最优的控制性能。

An integral square performance criterion containing tracking error and control energy was defined. Spectral factorization to minimizing the performance index for different systems was applied and corresponding parameter tuning methods of PID controller was derived, which could be used to obtain optimal control performance under control energy constraint.

定义了一个包含跟踪误差和控制能量在内的积分平方性能指标，针对不同系统运用谱分解的方法最小化该性能指标，从而导出相应的PID控制器的参数整定方法，可使系统在控制能量约束条件下具有最优的控制性能。

Firstly, applying spectral factorization to minimize an integral square performance criterion containing tracking error and control energy, an optimal control law for the nominal model is derived on condition of control energy constraint. Then, for model uncertainty, using spectral factorization to minimize the variance of the actual system performance from the nominal performance over all frequency range, a robust controller design method is abtained, which has optimal robustness of the system nominal performance to model errors.

首先针对控制对象的标称模型应用谱分解最小化一个包含跟踪误差和控制能量在内的积分平方性能指标，导出一个控制能量约束条件下的最优控制律；然后再针对模型不确定性应用谱分解最小化实际系统性能和标称性能在整个频段上的方差，得到一个鲁棒控制器的设计方法，可使系统的标称性能对模型误差具有最优的鲁棒性。

It is pointed out that the adaptive controller based on Lyapunov stability theory completes the integration of the square term caused by the integration of the multiplication term, and the integration of the square term is exactly the source of the slow-drift and its instability.

本文用均值平衡位置内摄动分析法，分析了有正态零均值噪音及有未建模动态时MRAC 的慢漂移。指出用Ляцунов稳定性理论或超稳定性理论设计的自适应控制器中，完成相乘项和平方项的积分，是MRAC慢漂移及慢漂移不稳定的根源。

Based on DEM data and by using GIDS method as the interpolation formula, it is derived that there is a latitudinal distribution of annual precipitation, and the precipitation is closely related to landforms.

空间分析是以DEM数据为基础，采用梯度距离平方反比法作为差值公式，得出整个流域的年降水量呈纬向分布特征，降水量的大小与地形分布有着十分密切的关系。

The spatial interpolation methods of inverse distance weight, trend surface, Kriging, Cokriging and combined method are utilized for the comparison study on spatial interpolation of January mean air temperatures from 1961 to 1990 in the QinghaiXizang Plateau.

： 使用反距离平方、趋势面、Kriging插值、Cokriging插值和综合方法对青藏高原1961—1990年30年平均1月气温进行空间插值比较研究，其中后两种方法能够把影响青藏高原气温分布的关键因素——高程置于插值算法之中。

And the critical power, which is mainly determined by the medium, is inverse proportion to n_2 of the medium.

光谱展宽量随光束直径的增加而减少，而且表现出与光束直径平方的倒数成正比的关系。

Each of these paths, to and from the target, is subject to the inverse square law of propagation.

每个路径，去到目标或来自目标的，遵从传播的反向平方律。

Locality of action shows itself in the finite speed of light, in the inverse square law of fields, and in macroscopic statistical effects, such as rates of reaction and the speed of sound.

作用力的局限性体现在光速是有限的，体现在场的平方反比定律之中[6]，还体现在宏观统计效应上，如反应速度和音速等。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。