范数
- 与 范数 相关的网络例句 [注:此内容来源于网络,仅供参考]
-
Among those; studies, Liu and Bek have obtained many important results for the theory and applications of Banach spaces and their geometry on complex number,(see [3],[41])Here, we have investigated the TP modulus of convexity and TP modulus of smoothness, on the one hand, we have defined a class of new spaces called uniformly TP convex ,on the other hand, we have extended martingale inequalities and the martingale spaces.This article is divided into four parts, in the first part, we define the TP modulus of convexity and TP modulus of smoothness of Banach space, and prove that the space which is characterized by uniform convexity is same as the space which is characterized by TP uniform convexity. Then we give TP q-uniformly convex and TP p-uniformly smoothable characterization of the Banach space. At the same time, we prove the famous renormed theorem.
本文分为四部分,第一部分在Banach空间上定义了一个新的TP凸性模和TP光滑模并证明了在Banach空间上它分别和一致凸性和一致光滑性刻划的空间是同构的,即如果Banach空间X是一致TP凸的充分必要条件是存在一个等价范数,使得在此范数下,它是一致凸的;Banach空间X是一致TP光滑的充分必要条件是存在一个等价范数,使得在此范数下,它是一致光滑的,我们还分别得出了判定一致TP凸和一致TP光滑的一些充分必要条件,同时还证明了箸名的重赋范定理。
-
The norm and the angle made with the center line by the vector of the codeword are computed for each codeword off-line firstly, then the codewords are ordered according to the ascending order of their norm.
文章提出了一种改进的等范数最近邻码本矢量搜索算法,该算法预先离线计算好各码本矢量的2-范数和它与中心线的矢量夹角,再根据各码本矢量的2-范数进行升序排列。
-
The matrix operator norm and unitarily invariant norm are two important normclasses.
0引言矩阵的算子范数和矩阵的西不变范数是两大类不同的重要范数类。
-
It is proved by means of constructing the new norm of the vector and the norm of matrix that the Runge-Kutta method is H-stable if|R | and A is nonsingular.
我们构造了一个新的向量范数和矩阵范数,利用该范数证明了如下定理,如果|R|和矩阵A非奇异,则Runge-Kutta方法是H-稳定的。
-
Note on relation of seminorm and norm in vector space;2. The functional representation of some seminorms such as the continuous seminorms, the beundedseminorms and the lower semicontinuous seminorms are given out.
给出了局部凸空间上连续半范数,有界半范数和下半连续半范数等的泛函表示,应用这些表示定理,我们得到了Banach-Mackey空间的一个全局特征和囿空间的对偶特征,最后还给出了局部凸空间理论中一些重要定理的简化证明。
-
In Chapter four, the stability problem of the nonlinear open-loop control system is discussed by the concept of input-output stability. The L〓 stability is defined, the relationship between the L〓 norm of output variable and the input variable is proven firstly, and the sufficient condition for the stability of open-loop system , the H〓 norm of the n-th order frequency response function decreasing by n!
本章给出了非线性控制系统L〓稳定性的定义,首次严格证明了输出变量的L〓范数与输入变量的L〓范数之间的一个重要的关系式,并得到了一个开环系统L〓稳定性的充分条件,即n阶广义频率响应函数的范数〓应按n!
-
In this paper, we first show that the matrix2-norm is the only norm which is not only an operator norm but also a unitarily invariantnorm.
在[l,p.94]中曾提到,向量作为矩阵看待,归范化的西不变范数只有2一范数,本文将这一结论推广成,一个矩阵范数如果它既是算子范数又是规范化的西不变
-
Through ordering the finite places by their principlal norm, much lower bounds for the norm of exceptional places in computing K〓 groups for the ring of integers in quadratic imaginary fields with class number 2 or 3 is obtained.
根据有限位的主范数将有限位进行排序,较大幅度地降低了类数为2或3的虚二次域整环的K〓群的计算中例外位的范数的界。
-
Moreover, we get the sufficient and necessary condition of in Orlicz spaces.Chapter 3 Extreme points and strongly extreme points in Orlicz spaces equipped with the generalized Orlicz norm: In this paper, the conceptions of the generalized Orlicz norm and the generalized Luxemburg norm are introduced, and the criteria of extreme points and strongly extreme points of Orlicz function spaces equipped with the generalized Orlicz norm are obtained. Moreover, criteria of space strictly convex and mid-point locally uniform convex are given.
第三章 赋广义Orlicz范数的Orlicz函数空间的端点和强端点:本章在Orlicz空间推广了Orlicz范数和Luxemburg范数,引入了广义Orlicz范数和广义Luxemburg范数的定义,并给出了赋广义Orlicz范数的Orlicz函数空间的端点和强端点的判据,进而得到了赋广义Orlicz范数的Orlicz函数空间严格凸和中点局部一致凸的充要条件。
-
In this paper,we mainly make a deep and systematic study of sample path prop-erties for high and infinite dimensional Gaussian processes,especially for high andinfinite dimensional Wiener process in stronger norm-Holder norm than ever(everbefore,there used to be uniform norm and the process was limited to one dimen-sion).We not only deal with all kinds of functional moduli of continuity,but alsoconcern with different forms of functional limit theorems of C-R increments.
本文主要对高维的以至无穷维的Gauss过程、特别是Wiener过程的样本轨道性质在较以往更强的范数—〓范数下作了系统深入的研究(以往通常采用一致范数,过程限于一维),研究的内容不仅包括各种形式的泛函连续模,而且还包括各种形式的C-R增量的泛函极限定理。
- 推荐网络例句
-
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。
-
When I was in school, the rabbi explained everythingin the Bible two different ways.
当我上学的时候,老师解释《圣经》用两种不同的方法。