查询词典 Banach space

In this paper,the nonstandard analysis theory is used for inducing a metric space by a Loeb measure space.On this basis,a metric space is induced by a internal finitely additive measure space.The close relationship between the metric space induced by a Loeb measure space and the metric space induced by a internal finitely additive measure space is illustrated with the concepts and some properties of Loeb measure.Then,some properties of the metric space that induced by a internal finitely additive measure space are studied.In the first two chapters,we first Succinctly present the origin,development and research states of the nonstandard analysis.Then,the theoretical foundation of nonstandard analysis as well as the axiomatic nonstandard analysis are given.Finally, the nonstandard model and the saturation model are discussed,as well as some natures of the nonstandard model and several equivalent conditions of saturation model are given.

本文利用非标准分析理论，在由Loeb测度空间导出度量空间的基础上，由内有限可加测度空间导出了度量空间，并借助Loeb测度的概念和若干性质证明了由标准的测度空间导出的度量空问和由内有限可加测度这个非标准的测度空间导出的度量空间有着密切的关系，在此关系的基础上还研究了由有限可加测度这个非标准的测度空间导出的度量空间的性质在第一、第二章里，我们首先简单介绍了非标准分析的产生、发展及研究现状，接着给出了非标准分析的理论基础以及公理化的非标准分析，进而讨论了非标准模型和饱和模型，并给出了非标准模型的一些性质和饱和模型的若干等价条件。

Regarding (6) type, when tradition Time variable t is two spatial vectors (+ psi 1i) and (- psi 2j) Crossed products v also is not 0, it (x1, x2, x3) differs 90 compared to on speed with the three-dimensional space in the space by the pure imaginary number attribute, I=e^I pi, therefore it Number space has in the physical property with the dot product constitution the difference, because Crossed products psi 1i (X psi 2j extremely small visible it is equal to zero under the conventional speed, but is very big in the object movement speed time, Crossed products psi 1i (X psi 2j in the physical quantity and for the quantum mechanics in may not to the easy quantity, its space and the conventional space is different, the performance is intrinsic or the interior space If the definition vector (+ psi 1i) and (- psi 2j) the dot product constitutes the three-dimensional space (x1, x2, x3) is exterior space, but the three-dimensional space which (+ psi 1i) and (- psi 2j) Crossed products constitutes by the vector is the internal space, contrasts its component

对于⑥式，传统时间量t为两个空间矢量(+ψ1i)与(-ψ2j)的叉积比上速度v且不为0，其与三维空间(x1，x2，x3)在空间上相差90度以纯虚数表征，I=e^Iπ，故其与点积构成的实空间有物理性质上的不同，因为在常规速率下叉积ψ1i(Xψ2j非常小可视其等于零，而在物体运动速率很大时，叉积ψ1i(Xψ2j之中物理量与则为量子力学中的不可对易量，其空间与常规空间不同，表现为一个内在或内部性空间。若定义矢量(+ψ1i)与(-ψ2j)点积所构成的三维空间(x1，x2，x3)为外部空间，而由矢量(+ψ1i)与(-ψ2j)叉积而构成的三维空间为内部空间，对比其分量

POTS AND PANS PARTY" POTS AND PANS, LONG" POTS AND PANS, SHORT" METAL RUMMAGE WITH GRIND" METAL RUMMAGE WITH HORN" METAL RUMMAGE" METAL CRASH" METAL CRASH""CARTOON,ACCENT FADUNK" BONKS, HORN, GONG" BONKS, HORN" FUNNY BONKS AND GONG" CRASHES, FUNNY HORN, RATTLE" CLANK, CRASH, BONG, HORN" HORN, CLANK, CRASH, BONG" HORN, CLANG" BONK, BELL RATTLE, BONG" BONG, HORN, SQUAWK, CRASH" BONG, HORN, SQUAWK" SMACK AND ZING""CARTOON,ACCENT WHISTLE, CRASH, CRASH, BONG""CARTOON,ACCENT WHISTLE, CLANK, CRASH, BONG""CARTOON,ACCENT WHISTLE, CLANK, CRASH, BONK""CARTOON,ACCENT BONK, WHIRL, HORN""CARTOON,ACCENT BONK AND WHIRL""CARTOON,ACCENT CLANK AND GRIND""CARTOON,ACCENT CLANK AND WHIRL""CARTOON,ACCENT SIREN WHISTLE, BRAKE HIT, CLANK""CARTOON,ACCENT SHORT SIREN WHISTLE, BRAKE DRUM HIT""CARTOON,ACCENT SHORT SIREN WHISTLE, BRAKE DRUM HIT""CARTOON,ACCENT SIREN WHISTLE, BRAKE DRUM HIT""CARTOON,ACCENT FUNNY SLIDE DOWN WITH BELL RATTLE""CARTOON,ACCENT FUNNY SLIDE UP WITH BELL RATTLE""CARTOON,ACCENT SLIDE DOWN, BELL""CARTOON,ACCENT SLIDE DOWN, BOING, CRASH""CARTOON,ACCENT SLIDE DOWN, BOING, CRASH""CARTOON,ACCENT SLIDE DOWN, BOING""CARTOON,FISH BUCKET OF FISH DROPPING ON PIER""CARTOON,CLOCK CLOCK TICKING""CARTOON,CLOCK CLOCK TICKING""CARTOON,ACCENT DESCENDING WARBLE GLISS""CARTOON,ACCENT ASCENDING WARBLE GLISS""CARTOON,ACCENT DESCENDING BONK GLISS""CARTOON,ACCENT ASCENDING BONK GLISS""CARTOON,ACCENT DESCENDING ZIP GLISS""CARTOON,ACCENT ASCENDING ZIP GLISS""CARTOON,ACCENT DESCENDING ZIP GLISS""CARTOON,ACCENT ASCENDING ZIP GLISS""CARTOON,ACCENT SPIT IN A BUCKET""CARTOON,ACCENT SPIT IN A BUCKET""CARTOON,ACCENT BOING""CARTOON,ACCENT FLAPPING BONKS""CARTOON,ACCENT IMPACT, WARBLE, BING""CARTOON,ACCENT IMPACT, SPLAT""CARTOON,ACCENT SHORT FALL WHISTLE, SMALL DING""CARTOON,ACCENT SHORT FALL WHISTLE, SPLAT""CARTOON,ACCENT ZIP, SMALL DING""CARTOON,ACCENT ZIP, HORN, WARBLE""CARTOON,ACCENT ZIP, RAZZ""CARTOON,ACCENT ZING, ZING""CARTOON,ACCENT BONKS, POPS, HORN""CARTOON,ACCENT BONKS, POPS""CARTOON,ACCENT BONKS, ZIP""CARTOON,ACCENT BONKS, RAZZ, TWANG""CARTOON,ACCENT BONG, POPS, BOING""CARTOON,ACCENT BONK, POPS, BING""CARTOON,ACCENT ZIP, BONKS, POPS""CARTOON,ACCENT WHIZ, POPS, HORN""CARTOON,ACCENT WHIZ, BONKS" SPACE LARGE SPACE COMPUTER SPACE ENERGY HUM SPACE LANDING SPACE LANDING SPACE SPACE PASS BY SPACE LIFTOFF SPACE LIFTOFF "SPACE,ZAP POWER ZAP

坛坛罐罐党"锅碗瓢盆龙"锅碗瓢盆，淡"金属带磨翻找"金属翻找，喇叭"金属翻找"金属崩溃"金属崩溃""卡通，口音FADUNK" BONKS，角，宫" BONKS，喇叭"滑稽BONKS和宫"崩溃，滑稽的号角，摇铃"叮当，碰撞，邦格，喇叭"喇叭，叮当，碰撞，奉："角，铛"邦克，钟摇铃，奉"峰，角，发牢骚，崩溃"邦，喇叭，发牢骚"嫌和Zing""卡通，口音哨子，崩溃，崩溃，奉""卡通，口音哨子，叮当，碰撞，奉""卡通，口音哨子，叮当，碰撞，邦克""卡通，重音邦克，旋转，圆号""卡通，口音邦克和漩涡""卡通，口音叮当和研磨""卡通，口音叮当和漩涡""卡通，口音警笛哨子，制动冲击，叮当""卡通，口音短警笛哨子，制动鼓打""卡通，口音短警笛哨子，制动鼓打""卡通，口音警报器哨子，制动鼓打""卡通，口音滑稽滑下贝尔摇铃""卡通，口音滑稽幻灯片与贝尔向上摇铃""卡通，口音滑下，钟""卡通，口音下滑，博英，崩溃""卡通，口音下滑，博英，崩溃""卡通，口音下滑，博英""动漫，鱼鱼斗安码头不用""卡通，时钟滴答作响的时钟""卡通，时钟滴答作响的时钟""卡通，口音降沃布尔GLISS""卡通，口音递增沃布尔GLISS""卡通，口音降邦克GLISS""卡通，口音递增邦克GLISS""卡通，口音降邮编GLISS""卡通，口音递增邮编GLISS""卡通，口音降邮编GLISS""卡通，口音递增邮编GLISS""卡通，在斗森垃圾""卡通，在斗森垃圾""卡通，口音博英""卡通，口音拍打BONKS""卡通，口音的影响，沃布尔，邴""卡通，口音的影响，图示""卡通，口音短秋季哨子，小鼎""卡通，口音短秋季哨子图示"："卡通，口音邮编，小鼎""卡通，口音邮编，喇叭，沃布尔""卡通，口音邮编，非难""卡通，口音ZING中，ZING中""卡通，口音BONKS，持久性有机污染物，喇叭""卡通，口音BONKS，持久性有机污染物""卡通，口音BONKS，邮编""卡通，口音BONKS，非难，鼻音""卡通，口音邦，持久性有机污染物，博英""卡通，口音邦克，持久性有机污染物，邴""卡通，口音邮编，BONKS，持久性有机污染物""卡通，口音奇才，持久性有机污染物，喇叭""卡通，口音能手，BONKS"计算机空间大空间宇宙能源本田空间着陆空间着陆经过空间空间空间发射空间发射空间"，ZAP公司电力ZAP公司

POTS AND PANS PARTY" POTS AND PANS, LONG" POTS AND PANS, SHORT" METAL RUMMAGE WITH GRIND" METAL RUMMAGE WITH HORN" METAL RUMMAGE" METAL CRASH" METAL CRASH""CARTOON,ACCENT FADUNK" BONKS, HORN, GONG" BONKS, HORN" FUNNY BONKS AND GONG" CRASHES, FUNNY HORN, RATTLE" CLANK, CRASH, BONG, HORN" HORN, CLANK, CRASH, BONG" HORN, CLANG" BONK, BELL RATTLE, BONG" BONG, HORN, SQUAWK, CRASH" BONG, HORN, SQUAWK" SMACK AND ZING""CARTOON,ACCENT WHISTLE, CRASH, CRASH, BONG""CARTOON,ACCENT WHISTLE, CLANK, CRASH, BONG""CARTOON,ACCENT WHISTLE, CLANK, CRASH, BONK""CARTOON,ACCENT BONK, WHIRL, HORN""CARTOON,ACCENT BONK AND WHIRL""CARTOON,ACCENT CLANK AND GRIND""CARTOON,ACCENT CLANK AND WHIRL""CARTOON,ACCENT SIREN WHISTLE, BRAKE HIT, CLANK""CARTOON,ACCENT SHORT SIREN WHISTLE, BRAKE DRUM HIT""CARTOON,ACCENT SHORT SIREN WHISTLE, BRAKE DRUM HIT""CARTOON,ACCENT SIREN WHISTLE, BRAKE DRUM HIT""CARTOON,ACCENT FUNNY SLIDE DOWN WITH BELL RATTLE""CARTOON,ACCENT FUNNY SLIDE UP WITH BELL RATTLE""CARTOON,ACCENT SLIDE DOWN, BELL""CARTOON,ACCENT SLIDE DOWN, BOING, CRASH""CARTOON,ACCENT SLIDE DOWN, BOING, CRASH""CARTOON,ACCENT SLIDE DOWN, BOING""CARTOON,FISH BUCKET OF FISH DROPPING ON PIER""CARTOON,CLOCK CLOCK TICKING""CARTOON,CLOCK CLOCK TICKING""CARTOON,ACCENT DESCENDING WARBLE GLISS""CARTOON,ACCENT ASCENDING WARBLE GLISS""CARTOON,ACCENT DESCENDING BONK GLISS""CARTOON,ACCENT ASCENDING BONK GLISS""CARTOON,ACCENT DESCENDING ZIP GLISS""CARTOON,ACCENT ASCENDING ZIP GLISS""CARTOON,ACCENT DESCENDING ZIP GLISS""CARTOON,ACCENT ASCENDING ZIP GLISS""CARTOON,ACCENT SPIT IN A BUCKET""CARTOON,ACCENT SPIT IN A BUCKET""CARTOON,ACCENT BOING""CARTOON,ACCENT FLAPPING BONKS""CARTOON,ACCENT IMPACT, WARBLE, BING""CARTOON,ACCENT IMPACT, SPLAT""CARTOON,ACCENT SHORT FALL WHISTLE, SMALL DING""CARTOON,ACCENT SHORT FALL WHISTLE, SPLAT""CARTOON,ACCENT ZIP, SMALL DING""CARTOON,ACCENT ZIP, HORN, WARBLE""CARTOON,ACCENT ZIP, RAZZ""CARTOON,ACCENT ZING, ZING""CARTOON,ACCENT BONKS, POPS, HORN""CARTOON,ACCENT BONKS, POPS""CARTOON,ACCENT BONKS, ZIP""CARTOON,ACCENT BONKS, RAZZ, TWANG""CARTOON,ACCENT BONG, POPS, BOING""CARTOON,ACCENT BONK, POPS, BING""CARTOON,ACCENT ZIP, BONKS, POPS""CARTOON,ACCENT WHIZ, POPS, HORN""CARTOON,ACCENT WHIZ, BONKS" SPACE LARGE SPACE COMPUTER SPACE ENERGY HUM SPACE LANDING SPACE LANDING SPACE SPACE PASS BY SPACE LIFTOFF SPACE LIFTOFF "SPACE,ZAP POWER ZAP

坛坛罐罐党&锅碗瓢盆龙&锅碗瓢盆，淡&金属带磨翻找&金属翻找，喇叭&金属翻找&金属崩溃&金属崩溃&&卡通，口音FADUNK& BONKS，角，宫& BONKS，喇叭&滑稽BONKS和宫&崩溃，滑稽的号角，摇铃&叮当，碰撞，邦格，喇叭&喇叭，叮当，碰撞，奉：&角，铛&邦克，钟摇铃，奉&峰，角，发牢骚，崩溃&邦，喇叭，发牢骚&嫌和Zing&&卡通，口音哨子，崩溃，崩溃，奉&&卡通，口音哨子，叮当，碰撞，奉&&卡通，口音哨子，叮当，碰撞，邦克&&卡通，重音邦克，旋转，圆号&&卡通，口音邦克和漩涡&&卡通，口音叮当和研磨&&卡通，口音叮当和漩涡&&卡通，口音警笛哨子，制动冲击，叮当&&卡通，口音短警笛哨子，制动鼓打&&卡通，口音短警笛哨子，制动鼓打&&卡通，口音警报器哨子，制动鼓打&&卡通，口音滑稽滑下贝尔摇铃&&卡通，口音滑稽幻灯片与贝尔向上摇铃&&卡通，口音滑下，钟&&卡通，口音下滑，博英，崩溃&&卡通，口音下滑，博英，崩溃&&卡通，口音下滑，博英&&动漫，鱼鱼斗安码头不用&&卡通，时钟滴答作响的时钟&&卡通，时钟滴答作响的时钟&&卡通，口音降沃布尔GLISS&&卡通，口音递增沃布尔GLISS&&卡通，口音降邦克GLISS&&卡通，口音递增邦克GLISS&&卡通，口音降邮编GLISS&&卡通，口音递增邮编GLISS&&卡通，口音降邮编GLISS&&卡通，口音递增邮编GLISS&&卡通，在斗森垃圾&&卡通，在斗森垃圾&&卡通，口音博英&&卡通，口音拍打BONKS&&卡通，口音的影响，沃布尔，邴&&卡通，口音的影响，图示&&卡通，口音短秋季哨子，小鼎&&卡通，口音短秋季哨子图示&：&卡通，口音邮编，小鼎&&卡通，口音邮编，喇叭，沃布尔&&卡通，口音邮编，非难&&卡通，口音ZING中，ZING中&&卡通，口音BONKS，持久性有机污染物，喇叭&&卡通，口音BONKS，持久性有机污染物&&卡通，口音BONKS，邮编&&卡通，口音BONKS，非难，鼻音&&卡通，口音邦，持久性有机污染物，博英&&卡通，口音邦克，持久性有机污染物，邴&&卡通，口音邮编，BONKS，持久性有机污染物&&卡通，口音奇才，持久性有机污染物，喇叭&&卡通，口音能手，BONKS&计算机空间大空间宇宙能源本田空间着陆空间着陆经过空间空间空间发射空间发射空间&，ZAP公司电力ZAP公司

The conceptions of spectral and module of almost periodic sequence in Banach space are introduced,which are similar to those of almost periodic function in Banach space.

引入了Banach空间中与概周期函数类似的概周期序列谱与模的概念，并证明了概周期序列的谱与模有与概周期函数谱与模一样的性质。

In the second, we discuss the geometry of Banach space, and the bounded linear operators and bounded linear functionals on the Banach space.

第二部分，Banach空间的刻画和其上的有界限性算子和有界线性泛函的性质。

First, we give the relation of Birkhoff orthogonality and functionals in Banach space, then use functionals as a tool to investigate the relations of Birkhoff orthogonality and underling Banach space.

首先，建立了Banach空间中两个元素的Birkhoff正交性和线性泛函的关系，然后以线性泛函为主要工具，讨论了Birkhoff正交性和Banach空间结构的关系。

In this paper, we shall apply this concept to the ring of linear operators on Banach space X and prove that if a linear operator T on a Banach space X is defined in all of X and has finite descent and ascent then there is a Drazin inverse T~D satisfying TT~DT~k=T~k, T~DTT~D= T~D, and T~DT=TT~D for some nonegative integer k.

以后又对方阵的Drazin逆作了深入的研究。它的一些性质可以参阅。同时对它的应用也作了许多研究，例如可以把Drazin逆的概念应用到Markov过程、线性微分方程组、差分方程组和最优控制等方面。

On the convergence of Newton's method in Banach space〓 Let F be an operator mapping from a real or complex Banach space X to another one Y, the Newton iteration 〓(2) is used to find the approximative solution of the equation (1), where the derivative is meant in the Frechet sense.

一、Banach空间中Newton法的收敛性〓设F是由实的或复的Banach空间X到同型空间Y的算子，求解方程(1)的Newton迭代为〓，0，1…，(2)其中的导数指的是在Frechet意义下的。

We study the commmon fixed point of nonexpansive semigroups in Banach space, and obtain some strong connvergence theorems on an iterrative method for a family of nonexpansive mappings in Banach space.

研究了Banach空间上非扩张半群的收敛公共不动点，以及一类有限非扩张映射族的强收敛性。

Now she was hungry and angry.She began to smoulder.

现在她又饿又气，她开始流露难以抑制的怒火。

You have placed our iniquities before You, Our secret sins in the light of Your presence.

诗90：8 你将我们的罪孽摆在你面前、将我们的隐恶摆在你面光之中。