范数

By using the analysis method,this paper gets a inequality about the relation of the interior product and the norm in the separable,complex Hilbert space.

用分析法得到了可分复Hilbert空间中一个内积与范数关系的不等式，由此不等式可推出几个可以看作是Cauchy-Schwarz不等式的反向不等

Using the singular value decomposition of matrix, the uncertain fuzzy systems can be united to the model with norm-bounded structure parameter uncertainties.

利用矩阵奇异值分解和线性变换，将不确定性模糊系统归一化为具有界范数约束的结构参数不确定性的模糊系统模型。

First, various normwise relative condition numbers that measure the sensitivity of W-weighted Drazin inverse and the solution of singular linear systems are characterized.

首先，我们利用不同的范数定义了加权Drazin逆及其奇异线性方程组解的条件数，用来度量矩阵求加权Drazin逆和一类奇异线性方程组求加权Drazin逆解对于扰动的敏感性。

In classic theory,it is held that, in Sobolev Space ［H1］3, there is the upper bound of the norm of the constant rotating flow of the incompressible viscous fluid between two closed surfaces. It is inversely proportional to the viscosity of the fluid, and it will go to infinity when the viscosity goes to zero.

经典理论认为，不可压缩粘性流体定常旋转流在Sobolev空间［H1］3中的范数的上界与流体粘度成反比，随着流体粘度的减小，这一上界会无限地增大。

This algorithm is proved to converge to a unique least-squares and minimum-norm solution vector when the control parameters satisfy the given constraint conditions.

然后，提出了将步长、罚因子等过程控制参数统一的迭代－递推形式的辨识算法，证明了算法在给定的控制参数约束下收敛于唯一的最小二乘、最小范数解向量。

From the main results, when the spectral norm of the system matrix is less than 1 or the matrix induced by the system matrix is Schur, the fuzzy system is asymptotically stable.

主要结论指出，当系统矩阵谱范数小于1或系统矩阵的诱导矩阵是Schur矩阵时，模糊系统全局渐近稳定。

About weight Linear regression model,We propose the problem of influence measure of weight disturbance,provide the maritx of influence measure of weight disturbance,and utilize trace aud spectral norm,at last,get some results.

对于加权线性回归模型，我们考虑权扰动的影响度量问题，给出权扰动的影响度量矩阵，利用迹、谱范数为工具，得出一些结论

In chapter 3, we establish some partial differential inequalities on bounded starlike circlar domains and the unit ball of Banach norm in C〓. Then by using these inequalities, we can get two sufficient conditions for almost starlike mappings of order α.

第三章通过在C〓中的有界星形圆形域和复Banach范数之下的单位球上建立一些微分不等式，给出了α次的殆星映射的两个充分判别条件。

An on-line blind source separation algorithm of non-stationary mixed signals is presented. The algorithm uses the multiple time-delayed decorrelation and natural gradient rule to obtain the stationary point of the cost function, only a small number of observed samples is needed to minimize the Frobenius norm of the correlation matrices, so the computing cost is low and continuous separation calculation could be realized by on-line operation.

利用一种基于多时延解相关准则的代价函数和自然梯度原则，分别推导出非平稳信号在瞬态线性混合及卷积混合情况下的在线盲分离算法，仅通过对有限个时延样本的相关矩阵进行Frobenius范数最小化运算得到分离矩阵，计算工作量小，无需对样本进行分块处理，可实现对信号的连续跟踪操作。

By regarding the forest-sum growth-cutting rate as the control variable and judging its optimality by "norm minimum", we have given a existence theorem of the optimal control for the area distributing systems of forest trees by utilizing space L2(0,T)'s reflexivity, smoothness and strict convexity.

本文将林木总和长消率作为控制变量，以"范数最小"来衡量其最优性，利用空间L2（0，T），T＞0的自反、光滑和严格凸性，给出了森林面积分布系统最优控制的一个存在性定理。

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。