范数

Motivated by Baker\'s result, we introduce a functional index‖E‖_∞to prove that if a mapping f which is from a normed space to a normed algebra satisfying‖ab‖=‖a‖‖b‖satisfies that‖E‖_∞is bounded,then either f is bounded or f is exponential.

受到Baker的结论启发，通过引入一个泛函指标‖E‖∞，证明了从赋范空间到满足范数可乘性的赋范代数的映射f，只要满足‖E‖∞是有界的，则f要么是有界的，要么是指数的。

5The OCT reconstruction is notstable in the meaning of L2 norm,but extended to Sobolev space,it has a stablebehavior.

5OCT的重建问题在一般L2范数意义下是不稳定的，即系统可能因为小的扰动而剧烈震荡；但在Sobolev空间、规定的范数意义下，能够保证，理想的OCT数学模型中的重建问题是稳定有界的。

In terms of the ground disturbance power spectral density, the H2 norm is used to describe the requirement for ride comfort and the generalized H2 norm is adapted to capture time-domain constraints such as good road holding.

根据路面干扰谱特征，选用H2范数作为乘坐舒适性的指标，广义H2范数描述轮胎接地性等时域约束要求。

Triangular norms are a common form of conjunction operator to a real number based representation of the true value of a compound fuzzy proposition.

对基于单一数值表达的模糊命题间的合取、析取关系的最一般运算形式是三角范数和三角余范数。

In the base of regularity of fuzzy logic s, combining triangular norms and logic s, it has lead proposition universal logic .

在分析模糊逻辑规律的基础上，把三角范数理论和逻辑学紧密结合起来，利用三角范数理论提出命题泛逻辑学。

Because the different kinds of norms need the different computation and complexity, we should choose the most suitable vector norm to process the despreading signals for simplifying the hardware circuit.

由于不同的向量范数所需的运算量和计算的复杂程度各不相同，所以可根据实际情况选择最合适的向量范数来衡量各支路解扩信号向量的大小，以简化硬件电路。

A numerical algorithm and a numerical experiment are given. 2. The least norm, positive semidefinite and positive definite real solutions of bisymmetric matrix equations (A~TXA, XA — YAD)=(D, 0)are considered by applying the generalized singular value decomposition.

利用广义奇异值分解讨论了矩阵方程(A~T XA，XA-YAE)=(E，0)在对称次反对称矩阵集合中的解、极小范数解和在双对称矩阵集合中的解、极小范数解及正定解； 3。

By comparing the matrix theory over number field,we mainly discussed the quaternion matrix norm theory,the quaternionic determinant,the complex number expression of the quaternion matrix and the quarternion linear matrix equation.

通过对比一般域上矩阵理论，本文主要从四元数矩阵范数理论、四元数矩阵行列式、四元数矩阵的复表示以及四元数线性方程组和线性矩阵方程四个方面阐述了四元数矩阵理论。

This paper studies some theory forfuzzy conjunctions and fuzzy disjunctions, which are more general than t- normsand t- conorms, respectively, and investigates the roles of negations in fuzzy logic.

本文首先研究了比t-范数及其共轭范数更一般的模糊合取、模糊析取算子，讨论了&负&在模糊逻辑运算中的作用。

In chapter two, we first consider the linear system WAWx=b, where A is an m*n rank-deficient matrix. Then we consider the weighted Frobenius norm on data, and get the formula of W-weighted Drazin inverse solution of the linear system.

第二章的前半部分介绍了线性系统 WAWx=b 的加 W 权的 Drazin 逆解在范数带参数的 Frobenius 范数意义下的条件数，这里矩阵 A 为一个 m*n 的秩亏阵。

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。