叉点

This is my last OpenGL for a project to use the "three-dimensional vector space / point" and related functions, they can use a definition of space vector / points, for the vector translation, zooming and rotation, the use of correlation function can also achieve two vector by the fork, get a Vectors absolute length of a vector unit, received a 3:00 decision vector perpendicular to the plane, a space to be the distance between two points, two vector to be the plot points, to be the angle between two vectors, such as operating for the use of user-friendly, each function is detailed Notes, it is particularly important if the calculation vector plot points, fork also took note, we hope to have useful.

这是我过去进行一个OpenGL项目时使用到的"三维空间向量/点"类及相关函数，使用它们可以定义一个空间向量/点，实现向量的平移，缩放和旋转等，使用相关函数还可以实现两向量的叉乘，得到一个向量的绝对长度，将一个向量单位化，得到一个三点决定的平面的垂直向量，得到空间中两点的距离，得到两向量的点积，得到两向量的夹角等操作，为方便用户的使用，每个函数都有详细的注释，特别重要的向量计算如点积，叉乘还有相关说明，希望对大家有所用处。

The seat tube and rear fork fold in the longitudinal plan of the bicycle. The wheels roll together until they are side by side by means of a structural feature shaped with a special angle at the bike's center. It can be folded as a Swiss knife.

具简单的结构，折迭方式是由车架的中心点拉起，并同时将车把手往下推，座管和后叉可折迭于脚踏车的纵面，就像瑞士刀一样折收起来。

First, an octree of the point cloudis constructed with a volume-based refinement method, and then the volume ofthe point-sampled surface can be estimated by using quasi-Monte Carlo methods.Based on the Cauchy-Crofton formula, the area of the point-sampled surface isalso calculated by counting the number of intersection points between the pointcloud and a set of uniformly distributed lines generated with low-discrepancysequences.

基于体积加细的方法构造点模型的八叉树，再利用拟蒙特卡罗方法完成体积计算；基于Cauchy-Crofton公式，通过计算点模型与均匀分布的直线集合的交点个数，完成面积计算。

This is a project to use the three-dimensional space vector/point type and related functions, they can be defined using a space vector/point, the realization of vector translation, scaling and rotation, the use of correlation function can also be the realization of the two vectors fork x, the absolute length of a vector, a vector unit, and get a three-point decision to the vertical plane of the vector, be the distance between two points in space, by the two vectors point multiplication by the two vectors angle, such as operations, for the use of user-friendly, each function are detailed notes, I hope all of you useless.

详细说明：这是一个项目时使用到的"三维空间向量/点"类及相关函数，使用它们可以定义一个空间向量/点，实现向量的平移，缩放和旋转等，使用相关函数还可以实现两向量的叉乘，得到一个向量的绝对长度，将一个向量单位化，得到一个三点决定的平面的垂直向量，得到空间中两点的距离，得到两向量的点积，得到两向量的夹角等操作，为方便用户的使用，每个函数都有详细的注释，希望对大家有所用处。

Fast parallel algorithm ; Maximum circle criterion ; Fork point

快速并行算法；最大圆规则；叉点优化

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

The complex characteristics of velocity and water elevation changes at both banks of the curved sections, auto-reassignment of discharges and momentum as well as vortices and super-elevation near the corner of embranchment regions in the furcated channels are displayed. The effects of wetting bed and drying bed are discussed simultaneously.

首次针对180°强弯曲河道、90°双支以及45°三支分叉渠道，数值预报了溃坝波的演进过程，揭示了溃坝波在弯曲河道中内外两岸速度与水位变化，在分叉河道中自动进行流量与动量再分配，在叉点角区形成旋涡、壅高等复杂运动特征，同时反映了湿底与干底的影响。

Ternary" specializes were many points: One, braised big skirt fin, Taiye chicken, fried Health water lines, Xiehuang chicken wings for the three-ball "four specializes; specializes there Taiye chicken, stewed large Skirts fin, monolithic Serratula birds, flowers ice-shrimp, rich pomegranate chicken, Longfeng Yuanyang ball-Suzhaxieqian; point is a lard-British package, oyster sauce Chashao Bao, Kagemi egg tarts, mosaic egg Ji , Cellular Lai Kok taro, transparent chicken cakes, frozen Danjuan snow, the salt water shrimp Kok, Chashao Bao Yu Ye, Biaohua butter cake, and so on.

大三元&名菜名点繁多：其中，红烧大裙翅、太爷鸡、生炒水鱼丝、蟹黄鸡翼球为大三元&四大名菜；名菜还有太爷鸡、红烧大裙翅、铁板麻花雀、冰梅百花虾、富贵石榴鸡、龙凤鸳鸯球、香酥炸蟹钳等；名点则是架英猪油包、蚝油叉烧包、影美鸡蛋挞、马赛克蛋戟、蜂巢荔芋角、透明鸡蛋糕、雪花冻蛋卷、安虾咸水角、玉液叉烧包、奶油裱花蛋糕等。

Most identification methods are dependent on the locations and numbers of ridge endings and bifurcations.

大部分的指纹辨识方法是以指纹的奇异点及纹线的端点、叉点的分布位置、数目作为判别的依据。

Pointoctree data structure can filter invisible points before the timeconsuming process of rendering and can help to select different detail levels and rendering mode according to the view point position to control the complexity and speed of rendering.

点八叉树数据结构可在耗时大的绘制过程执行前预先进行不可见点的剔除，便于根据视点远近选择不同的细节层次和绘制策略，以便控制绘制的复杂度与速度。

Methods: Five patients with parkinsonism or dystonia were assigned to general anesthesia using an modified endotracheal tube.

本实验依照人体实验之相关规定进行，五位患有帕金森氏症或肌张力异常的病人接受神经立体定位手术。

If you can benefit from this book, it is our honour.

如果您能从本书获益，这将是我们的荣幸。