查询词典 basis of linear space

On the basis of Earth surface space using reference ellipsoid as height basis, map space using Gauss-Kruger projection plane as height basis, a viewpoint is proposed that map projection actually establishes corresponding relationship between the height bases of two different spaces above. From the viewpoint of projection and visible representation, the relationships among earth surface space, RS imagery space and map space are analyzed; the differences among different representations of earth surface space are identified theoretically; virtual reality is applied to the representation of land surface space, and a prototype of real 3D virtual reality system based on spatial information is developed. By means of digital simulation, virtual reality representation of land surface space in visual image space is realized.

在以参考椭球面为高程基准面表征地表空间、以高斯-克吕格地图平面为高程基准面表征地图空间的思想基础上，提出了地图投影实质上是建立两个空间的高程基准面之间关系的观点；从投影和可视表达的角度，分析了地表空间、遥感图像空间、地图空间之间的关系，从理论上区分了对地表空间的不同表达方式之间存在的差别；将虚拟现实技术应用于地表空间的表达，研制了空间信息三维虚拟现实系统原型，利用数字模拟技术在视像空间实现了对地表空间的真三维虚拟现实表达。

The linear function applicable scope is broad, when the reservoir turnover water volume and the time, the student leaves the staircase mouth population and the time and the time and the motion communication speech spends the comparison and so on the relational question has the important application;The study linear function, may deepen in the life the linear question understanding and the understanding, is helpful in solves some simple function problem; The linear function some problem solving method has the universality in mathematics, the linear function related theory may use for to solve some other mathematics problem, For instance the dual linear equation group, a Yuan inequality, a Yuan quadratic equation most value question and some complex mathematics question, the light is studies the linear function the theory is insufficient, the key is can utilize actual the linear function goes is our final goal.

一次函数的适用范围广，在蓄水池的进出水量与时间、学生出楼梯口人数与时间与时间和移动通讯的话费比较等的关系问题时均有重要的应用；学习一次函数，可以加深生活中线性问题的认识与理解，有助于解决一些简单的函数问题；一次函数的一些解题方法在数学中具有普遍性，一次函数的有关理论可以用来解决一些其它的数学问题，比如二元一次方程组、一元一次不等式、一元二次方程的最值问题及一些复杂的数学问题，光是学习一次函数的理论是不够的，关键是能把一次函数运用到实际中去才是我们最终的目的。

Modeling and stability analysis problem of linear switched system are emphasized in this part and main results include:(1) Through investigation in the projection of 〓 on x, where x denotes continuous state vector, a series of sufficient conditions for stability, asymptotic stability and unstability of linear switched system's equilibrium in the sense of Lyapunov are achieved. And also, a sufficient and necessary condition for state bounded stability of linear switched system is received.(2) For a class of periodical linear switched system whose switching sets are a group of ordinal lines starting from the original point, it's proved that state bounded stability can be defined by the running characteristic in a single period (3) Based on linear switched system, the concept of linear switched system network is put forward. Linear switched system network is a complex network interconnected by many linear switched systems.

这部分着重研究线性切换系统的建模与稳定性分析问题，主要成果包括：（1）通过考察〓在x上的投影，得到线性切换系统的平衡点在Lyapunov意义下稳定、渐近稳定及不稳定的一系列充分条件，并得到了线性切换系统状态有界稳定的一个充要条件；（2）证明了对于一类切换集为从原点出发的一组射线的周期线性切换系统，其状态有界稳定可根据一个周期内的系统运行特性来判定；（3）在线性切换系统的基础上提出了线性切换系统网络的概念，线性切换系统网络是由多个线性切换系统交互作用而形成的复杂网络。

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。

For example, U-space is uniformly regular and which makes it has fixed point property, U-space is uniformly non-square and thus super-reflexive, uniformly convex space and uniformly smooth space are U-spaces, and an Banach space is an U-space iff its dual space is U-space, etc. In1990s, a lot of work had been done on U-space theory, e.g., Tingfu Wang and Donghai Ji introduced the concepts of pre U-property and nearly U-property. Under the structure of Orlicz space, they made systematic investigation of these properties, and gave the criteria for an Orlicz space to have U-property.

U-空间具有一致正规结构进而具有不动点性质；U-空间是一致非方的，进而也是超自反的；一致凸空间和一致光滑空间是U-空间；Banach 空间为U-空间的充要条件是其对偶空间为U-空间，等等。20世纪90年代，国内外学者对U-空间理论做了很多工作，王廷辅，计东海等人先后引入了准U-性质与似U-性质的概念，并在Orlicz空间框架下对有关性质进行了系统研究，完整给出了Orlicz空间具有各种U-性质的判据。

By describing Pythagorean theorem, the first time-space view explain the plane-line thought which impacts human's thinking manner; the second time-space view is absolute time-space theory of Newton and three-dimensions space-time view intersected by space-time; the third space-time view is curve space-time view which is generated from Einsteinian relative theory. The fourth space-time view is the directional, irreversible entropy time-space thought; the fifth time-space view is dense time-space view of cracked fractal generated from chaos-fractal theory.

第一时空观是通过对勾股定理的描述来说明影响人们思维方式的平直时空观；第二时空观是牛顿的绝对时空理论，是时空分割的立体三维时空观；第三时空观是爱因斯坦的相对论理论所带来的弯曲时空观；第四时空观是具有方向不可逆的熵时空观；第五时空观是混沌与分形理论所带来的破碎分形的稠时空观。

Linear Algebra is mainly a subject which studies the linear structure of finite dimensional linear space and its linear transformation while linear concept is in itself from the old Euclid Geometry. The concept of "Linear Space" is a kind of algebraic abstract. In many fields of modern engineering project and technology, because of the influence of computer and graph showing, the algebraic disposal of geometric questions, the visual disposal of algebraic questions, algebra and geometry are tightly combined.

线性代数主要是研究有限维线性空间及其线性变换这一代数结构的学科，而线性概念究其根源则是来自古老的Euclid几何，线性空间概念是几何空间的一种代数抽象，在现代工程技术的许多领域里，由于计算机及图形显示的强大威力，几何问题的代数化处理，代数问题的可视化处理，把代数与几何更加紧密地结合在一起。

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 production moved off-Broadway to New York City, where she won the Joseph E. Calloway award for her performance, and was profiled in American Theater Magazine as one of ten young theater artists to watch.

生产提出过百老汇的新的纽约市，在那里她赢得了约瑟夫calloway奖，她的表现，并于异型在美国的战区杂志之一， 10战区的青年艺术家观赏。

It's a risk tradeoff, and I believe that adding test support code usually wins.

这是一个风险的权衡，我相信添加测试代码通常会占上风。