查询词典 affine space

The 2D affine projection model is analyzed from geometrical relation of parallel projection, the conversion of projection, the foundation of strict mathematical model of 2D affine. The characteristics of 2D affine projection are illustrated by experiments.

从平行投影的几何关系分析、投影性质的转换、严格仿射变换数学模型的建立等方面，深入研究了基于仿射变换的传感器模型，给出了实验结果和分析结论。

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

In this paper,the area ratio of plane figure affine transformation in space is investigated,and the transformation equation of λ multiple of area is got , the area change of plane figure under affine transformation in space is studied, a important property of three axis ellipsoid is given and proved.

探讨了空间场的仿射变换下平面图形的面积比，推导出λ倍积变换方程式，进而探讨了空间场的仿射变换下平面图形面积的变化规律，给出并证明了三轴椭球体的一个重要性质。

This method represents the virtual objects in Euclidean space instead of in affine space, which is consistent with the popular graphics rendering tools such as OpenGL and is more common in practice. A new classification based local and global tracking strategy to match features between the reference image and the currently frame directly is presented, which enables the augmented reality system working effectively even under large changes of viewing angles. A novel affine coordinate system definition method based on a collection of feature points is also proposed, which makes the tracking method effective even when not all the reference points are detected during the whole process, as long as there are at least four pairs of reference points correspondences.

该方法以仿射变换为桥梁来建立欧氏空间下的摄像机坐标系与世界坐标系之间的变换关系，它与OpenGL等当前流行的图形渲染工具一致，具有更强的通用性；采用基于分类的自然特征匹配策略，能够在视角和视点发生大幅度变化情况下依然正常工作；提出基于特征点集合的仿射坐标系定义方法，使增强现实系统在最小配置下只需4点追踪成功即可完成注册，比需要6点的透视投影方法具有更好的健壮性和精确性。

It separated 3-D space, 2-D space, temporal space and abstract space (focused on the first 3). 3-D space/2-D space belong to the same category in syntactic model; but 2-D space/ temporal space /abstract space share the same category when we talked about how to confirm the spatial direction. 2. It investigated a spatial system proposed by Mr. Qi Huyang, and argued that there is necessity to modify this system. 3. It enumerated a series of grammatical forms which are involved in the "Spatial System", and pointed out that there exits a relation among these forms: words representing "Spatial and Locative"→ phrases representing "Spatial and Locative"→ sentences representing "Spatial and Locative".

第三章研究"空间系统"的子系统。1、分出立体空间、线性空间、时间和抽象空间几大领域，在句法上，立体空间/线性空间是一类；但在如何确定方向场的问题上，线性空间/时间/抽象空间是一类。2、省视了齐沪扬先生已提出的一个空间系统体系，指出很有改进的必要。3、归纳了"空间系统"所涉及的各种语法形式，并指出它们构成"表示空间方位意义的词→表示空间方位意义的短语→表示空间方位意义的句子"的层次关系。4、辨析各种语法形式的语义域及其语义结构，并考察语法意义与语法形式的对应情况。

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 results prove that T*1 S-closed space and T2 S-closed space are identical and that the regular S-closed space and normal S-closed space are the same. Therefore, to make T*1 space X become the complete conditions of S-closed space is the X extremely unconnected H-closed space, while S-closed space X can be measured as the complete condition X of S-closed T1 normal (A1) space.

首先讨论了S-闭空间的分离性，证明T*1型的S-闭空间与T2型S-闭空间是相同的，正则的S-闭空间与正规的S-闭空间是相同的，从而得到要使T*1型空间X成为S-闭空间的充要条件是X为极不连通的H-闭空间， S-闭空间X可度量化的充要条件是X为S-闭的T1型正则(A1)空间。

Vishnu entered a dark fourth dimensional dream that did not support his field or continued life.

毗瑟挐进入了一个第四密度的黑暗梦想，那里并不支持他的能量场或继续生命。

Leaders and decision-making persons use it to collect the data, including the information of unit work, handing in fee, oweing fee, prepaying fee,changing and afterpaying and account transfering of joining-insurance employee, and account paying of all kinds of insurances from hospitalization insurance institutions.The collected data is picked up, organized, switched and showed to user.

该子系统主要面向各级领导、决策分析人员；从各个医疗保险经办机构和定点医疗机构采集数据，包括在各个医疗保险经办机构处理的单位办公信息，单位缴费、欠费、预缴费信息，参保职工变更信息，参保职工增减变动信息，参保职工补缴信息，参保职工帐户划拨信息：包括各定点医疗机构处理的各险种帐户支出信息，各险种的统筹金支付信息等；将采集的数据提取，组织和转换，然后展示给用户。