查询词典 space curve

In this paper, a region approximation idea that means using a "fat curve" with a width to approximate the offset curve is proposed, and a complete set of algorithms to approximate offset curve using disk Bézier curve are given and implemented. In the algorithms, the optimal and uniform approximate curve of the offset curve as the central curve of the Disk Bézier curve is found by using Remez method, and then the upper optimal and uniform approximation principle is proposed to compute the error radius function of the Disk Bézier curve. Thus, the whole Disk Bézier curve can be obtained. In the end of this paper, the approximate effect of the Disk Bézier curve is not only analyzed and assessed, but also some specific examples are provided.

提出用一条带宽度的"胖曲线"来逼近上述等距曲线的区域逼近思想，并建立与实现了圆域Bézier曲线等距逼近的整套算法，包括应用Remez方法求出等距曲线的最佳一致逼近曲线作为圆域Bézier曲线的中心曲线，提出上控最佳一致逼近的原理求出圆域Bézier曲线的误差半径函数，以及确定整条圆域Bézier曲线，最后还对该圆域Bézier逼近的效果做了分析和考核，并给出了一些具体实例。

This paper establishes cubic spline function, analyzes subsection curve function and curve slope and curvature, at last decides to place the curve especial points which can be obtain easement curve length and other line parameters, such as the ZH point (end of line and beginning of transition curve), the HY point (end of transition curve and beginning of circular curve), the QZ point, the YH point (end of circular curve and beginning of transition curve), the HZ point (end of transition curve and beginning of line).

针对公路平面线形的8种组合类型，其线形元素特征则由最基本的直线、圆曲线、缓和曲线组成的特点，解析三次样条函数模型，得分段曲线函数、曲线斜率、曲率，从而确定曲线特征点（直缓ZH点、缓圆HY点、曲中QZ点、圆缓YH点、缓直HZ点）位置，进而得到曲线缓和曲线长度及其他线形参数。

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。

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。

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

Finally it analyzes the feasibility that using hydromechanics to analyze traffic flow by contrasting various characters between traffic flow and fluid flow. It analyzes influence of road alignment to basic expressway segment capacity by hydromechanics, and obtains viscous resistance and viscous movement differential equation when the vehicle drives on circular curve segment of expressway. And it infers that viscous resistance is correlated with sideway force coefficient, slope of crown and radius of circular curve. Radius of circular curve, sideway force coefficient and slope of crown are bigger, viscous resistance is smaller, the influence to capacity is smaller when the vehicle is running on nearside lane of circular curve; but radius of circular curve and sideway force coefficient are bigger, slope of crown is smaller, viscous resistance is smaller, the influence to capacity is smaller when the vehicle is running on fast lane of circular curve.

最后通过对比交通流与流体流的相似性，运用流体力学分析了道路线形对快速路基本路段通行能力的影响，求出了车辆在曲线路段的粘性阻力，建立了车辆在曲线路段的粘性运动微分方程，并由此推知，粘性阻力与横向力系数、路拱横坡度和圆曲线半径都有关系，当车辆在圆曲线外侧车道上行驶时，圆曲线半径、横向力系数和路拱横坡度越大，粘性阻力就越小，对道路的通行能力影响就越小；而当车辆在圆曲线内侧车道上行驶时，圆曲线半径和横向力系数越大，路拱横坡度越小，粘性阻力就越小，对道路的通行能力影响就越小。

Result: Scoliosis was identified in 58 cases with Marfan syndrome (38 males and 20 females), the prevalence rate was 42.03%, male-female sex ratio was 1.18:1, 6 cases were in younger than 10-year-old group. 12 cases were in 11~20-year-old group, 19 cases were in 21~30-year-old group, 11 cases were in 31~40-year-old group, 7 cases were in 41~50-year-old group, 3 cases were in 51~60-year-old group. Mean magnitude of Cobb angle in coronal plane was 26.8°±27.8°, the types of scoliosis curve included thoracic curve (36 cases), thoracolumbar curve (11 cases), lumbar curve (2 cases), double curve (6 cases) and triple curve (3 cases), apex vertebraes were convex to the right side among single curves in 38 cases while 11 cases were convex to the left side. Mean magnitude of kyphosis in sagittal plane was 14.3°±13.2°, 5 patients had thoracic lordosis and 40 patients had hypokyphosis and 12 patients had normal kyphosis.

结果：58例(42.03%)患者合并脊柱侧凸，男38例，女20例，男女患病率比例为1.18：1，其中≤10岁6例，11~20岁12例，21~30岁19例，31~40岁11例，41~50岁7例，51~60岁3例；平均冠状面Cobb角为26.8°±27.8°；胸弯36例，胸腰弯11例，腰弯2例，双弯6例，三弯3例；单弯中顶椎凸向右侧38例，凸向左侧11例；矢状面胸椎后凸平均为14.3°±13.2°，其中胸椎前凸5例，胸椎后凸不足40例，胸椎正常后凸12例，仅1例胸椎后凸45°；11例患者冠状面Cobb角＞40°，平均年龄15.9岁。

In contrast to the ubiquitous rising-sun-with-rays military flag of the Japanese, Chinese banners and ensigns feature a range of designs.

与遍地都是的太阳军旗不同，中国人的旗帜和徽章设计得各式各样。

From their small corner of Feng's Guangzhou headquarters -- a jumble of pink leashes, squeezable rubber steaks, and plastic doggy Santas for Fido's stocking -- Soleil's designers come up with at least five new products a month.

从Feng 设在广州总部的产品展示柜台上可以看到，Soleil的设计师每月至少设计出5件新产品。