norm space 中文意思是什麼
norm space
解釋
范數空間-
Chapter 2 on the locally ( weakly ) uniform rotundity of musielak - orlicz sequence spaces : rotundity is important property in the geometry of banach space. in this paper, criterion that musielak - orlicz sequence spaces equipped with the orlicz norm and luxemburg norm is locally ( weakly ) uniformly rotund was discussed in detail. moreover, we get the sufficient and necessary condition of them
第二章musielak - orlicz序列空間的局部（弱）一致凸：凸性是banach空間幾何理論的重要性質，本文詳細討論了賦orlicz范數和luxemburg范數的musielak - orlicz序列空間及它們的子空間的局部（弱）一致凸，並給出了它們的充分必要條件 -
We simply " swim " in a bigger space, where repetition of life s routine is the norm, confinement is within the physical boundaries of a home, and physical existence is ephemeral
我們泅游在較大的空間里，重復著一成不變的生活模式，並受限於身體的牢籠，過一個短暫無常的生活。 -
As regards space heating, the temperature in the living areas has never fallen below 16, with the norm being 18 - 21, and the sleeping areas have varied between 16 and 18
至於空間採暖，起居區域實際的溫度從來沒有低於16 ，正常情況下是18 - 21 ，臥室溫度在16到18之間浮動。 -
This paper studies a fuzzy norm and its stratified properties. the completeness and separability of stratified space of fuzzy normed space are discussed
摘要研究一類模糊范數及其層次結構性質，對模糊賦范空間的層次空間的完備性、分離性等性質進行了討論。 -
Chapter 2 of this paper, by using a new method of proof, we obtain the weak ergodic convergence theorem for general semigroups of asymptotically nonexpansive type semigroups in reflexive banach space. by theorem 2. 1 of chapter 1 we get the weak ergodic convergence theorem of almost orbit for general semigroups of asymptotically nonexpansive type semigroups in reflexive banach space. by this method of proof, we give the weak ergodic convergence theorems for right reversible semigroups. by theorem 2. 1 of chapter l, we generalize the result to almost orbit case. so we can remove a key supposition that almost orbit is almost asymptotically isometric. it includes all commutative semigroups cases. baillon [ 8 ], hirano and takahashi [ 9 ] gave nonlinear retraction theorems for nonexpansive semigroups. recently mizoguchi and takahashi [ 10 ] proved a nonlinear ergodic retraction theorem for lipschitzian semigroups. hirano and kido and takahashi [ 11 ], hirano [ 12 ] gave nonlinear retraction theorems for nonexpansive mappings in uniformly convex banach spaces with frechet differentiable norm. in 1997, li and ma [ 16 ] proved the ergodic retraction theorem for general semitopological semigroups in hilbert space without the conditions that the domain is closed and convex, which greatly extended the fields of applications of ergodic theory. chapter 2 of this paper, we obtain the ergodic retraction theorem for general semigroups and almost orbits of asymptotically nonexpansive type semigroups in reflexive banach spaces. and we give the ergodic retraction theorem for almost orbits of right reversible semitopological semigroups
近年來， bruck [ 5 ] ， reich [ 6 ] ， oka [ 7 ]等在具frechet可微范數的一致凸banach空間中給出了非擴張及漸近非擴張映射及半群的遍歷收斂定理。 li和ma [ 13 ]在具frechet可微范數的自反banach空間中給出了一般交換漸近非擴張型拓撲半群的遍歷收斂定理，這是一個重大突破。本文第二章用一種新的證明方法在自反banach空間中，研究了揚州大學碩士學位論文2一般半群上的（ r ）類漸近非擴張型半群的弱遍歷收斂定理，即:定理3 . 1設x是具性質（ f ）的實自反banach空間， c是x的非空有界閉凸子集， g為含單位元的一般半群， s =仕工， 。 -
By using bruck ' s lemma [ 10 ], passty [ 31 ] extended the results of [ 1, 16 ] to uniformly convex banach space with a frechet differentiable norm. however, there existed more or less limitations in their methods adopted. by using new techniques, chapter2 of this paper discussed the weak convergence theorem for right reversible semigroup of asymptotically nonexpansive type semigroup and the corresponding theorem for its almost - orbit in the reflexive banach space with a frechet differentiable norm or opial property
Feattieranddotson 16 ]和bose [ l ]通過使用opial引理17 }在具弱連續對偶映照的一致凸b ~ h空間中證明了漸近非擴張映照的弱收斂定理， passty 31通過使用bruck引理10 ]把1 ， 16 ]的結果推廣到具freehet可微范數的一致凸banach空間，然而，他們的證明存在著種種局限性。 -
The fuzzy norm of operators and description of properties of their space
運算元的模糊范數及其空間性態的刻畫 -
In this chapter, a - type positive homogeneous operators are generalized as e - a type positive homogeneous operators. moreover, the continuity, properties of norm, and completeness of operator space are investigated for e - a type positive homogeneous operators
本章將正齊次運算元推廣為?正齊次運算元，並討論了?正齊次運算元的連續性、范數性質、以及運算元空間的完備性等。 -
Alternatively, we investigate the relationships between the space of bounded operators and its regular operator subspace with respect to the operator norm topology, thereby answering partially the question of how big the regular operator subspace is and discussing the existence of strongly non - regular operators between some classical banach lattices
這里把這一問題轉化為考察有界線性運算元空間與它的正則運算元子空間在（一致）運算元拓撲之下的關系，從而部分的回答了正則運算元集合在有界線性運算元空間中有多大的問題，解決了經典banach格上強非正則運算元的存在性。 -
We obtain 2, composition operators on bloch spaces first, we discuss the seminorm and norm of composition operators on bloch space. the relations of seminorm and norm with angle derivative and hyperbolic metric in unit disk are obtained
首先研究了bloch空間上的復合運算元的半模與模，得到它們與角導數、單位圓上雙曲度量之間的一些關系。 -
Reich [ 2 ] proved the ergodic theorems to nonexpansive semigroups in hilbert spaces. takahashi and zhang [ 3 ], tan and xu [ 4 ] extended baillon ' s theorem to asymptotically nonexpansive and asymptotically nonexpansive type semigroups in hilbert spaces. recently, reich [ 6 ], bruck [ 5 ], oka [ 7 ] gave the ergodic convergence theorems for nonexpansive, asymptotically nonexpansive mappings and semigroups in uniformly convex banach spaces with frechet differentiable norm. li and ma [ 13 ] obtained the ergodic convergence theorems for general commutative asymptotically nonexpansive type topological semigroups in reflexive banach space, which is a great breakthrough
Baillon [ 1 ]首先在hilbert空間的非空凸閉子集上給出了非擴張映照的弱遍歷收斂定理。 baillon的定理引起了很多數學家的興趣， reich [ 2 ]在hilbert空間中證明了非擴張半群的遍歷收斂定理。 takahashi和zhang [ 3 ] ， tan和xu [ 4 ]分別將baillon的定理推廣到漸近非擴張半群及漸近非擴張型半群。 -
Then the order bound norm imposed on the order bounded operators between two banach lattices is fully studied. the results include the relationships between the order bound norm and the other two types of norms of a regular operator ; respectively, and a condition under which the space of order bounded operators is a dedekind complete banach lattice
接著討論了banach格間序有界運算元的序有界范數，詳細論證了正則運算元的（一致）運算元范數、正則范數和序有界范數三者之間的關系，並得到了序有界運算元空間在序有界范數之下是dedekind完備banach格的一個條件。 -
The main one is to estabish hardy space theory and weighted norm inequalities on non - homogeneous spaces
其中最主要的問題是在非齊型空間上建立hardy空間理論和加權模不等式。 -
In reference [ 3 ], shi, j. h. defines the norm with fourier coefficient of function, obtains a new space - - v space, and gives some complete characterizations of function properties
在文獻[ 3 ]中，史濟懷用函數的fourier系數定義其范數，從而給出了一種新的空間? ? d ~ p空間，並對其函數的性質進行了較系統完備的刻劃。 -
In order to obtain an unique valuation, we must add new pricing criterions, and the different pricing criterions will lead to different approximate valuation, but from the point of the theory of hilbert space, no matter what kinds of approximate valuation, they can be view as the project of a vector from the hilbert space to its closed subspace, the only difference is the different definitions of norm
為了得到唯一定價，必須引入其它定價標準，引入定價標準不同，就可以得到不同的近似定價，但從hilbert空間投影理論看，無論何種近似定價，都可以看成是hilbert空間的一個向量到它的一個閉子空間投影，差別只是所定義范數不同而已。 -
The performance of similarity indexing structures in high dimensions degrades rapidly. in lower dimensional space, we often use lp - norm to measure the proximity between two points, but in many case the concept of this proximity is never meaningless in high dimensional space. these issues bring high dimensional data mining two challenges
隨著數據維數的升高，高維索引結構的性能迅速下降，在低維空間中，我們經常採用l _ p距離作為數據之間的相似性度量，在高維空間中很多情況下這種相似性的概念不復存在，這就給高維數據挖掘帶來了很嚴峻的考驗，一方面引起基於索引結構的數據挖掘演算法的性能下降，另一方面很多基於全空間距離函數的挖掘方法也會失效。 -
The contractive mappings in the vector space, which is with vector norm are defined by a map on the vector lattice. and a fined - point theorem is obtained
摘要在具有向量值范數的實向量空間上，通過引入一個定義在向量格上的特殊映射來討論壓縮映射，並證明相應的不動點定理。 -
Besed on wavelet " s well localized characterizes in time frequency and space frequency, we can exactly depict events of nonnoise by decomposing to signal using binary - wavelet transform. for events of noise, local max can be found at singular points of signal by using wavelet transform norm of signal, so adopting multiscale wavelet analysis the maximal point of wavelet transform norm, which risen by the noise, with increasing of scale, which rien by the fault appeared. gived a properly threshold and compared the relation of data that have been transformed not only find the fault in the low noise signal but also resume the signal by filtering noise, which have good power of examining singular signal being unexpectedly change
對于噪聲中的事件點，利用信號的小波變換的模在信號的突變點取得局部最大值，採用多尺度（多分辨）小波分析，則隨著尺度的增大，噪聲引起的小波變換模的極大值點迅速減少，而故障引起的小波變換模的極大值點得以顯露，我們給出一個適當的閥值，比較閥值和變換后數據的關系，不但可以在低信噪比的信號中監測到故障信號，而且可以濾去噪聲恢復原信號，對突變的奇異性信號具有良好的監測能力，能夠有效地找出噪聲中的事件點。 -
On characteristics of norm continuous semigroups on a hilbert space
空間中范數連續半群的特徵 -
An explicit expression to compute h norm and obtain h controller, which are recently obtained for continuous - time state - space symmetric systems, are extended to more general case of continuous - time symmetric systems. the computations of h norm only need to compute the maximum eigenvalue of a symmetric matrix, which only contains the system matrices
把一最近文獻得到的有關連續時間狀態對稱系統h ~范數和h ~控制器的明顯解結果推廣到更廣泛連續時間對稱系統，所得到h ~范數計算僅包括系統矩陣。
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