叉点的

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。

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。

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

In that case, Straddle both sides who made the ultimate battle of 2000 point victory?

在这种情况下，叉，双方谁取得了胜利，最终2000点的战斗？

We construct the algorithm of three-dimensions model surface reconstruction in three stages: first, we use Oct-tree to describe scatter data points in space, second find adjacent points and tangent plane and use the triangulation method to realize 3D surface reconstruction in the end, in research on algorithm of three dimensions model surface reconstruction based on scatter data points.

在"基于散乱数据三维表面算法的研究"这一章中，首先通过八叉树的数据结构的算法对三维散乱数据进行处理，然后再确定邻点和微切平面，最后用三角网格化的方法完成三维物体表面重构。

During the operation, two tracts of tendons soaked in gentamicin saline for 15 minutes were conduplicated, and one end of the tendon was cancellous bone screw and fixed to the tibia attachment point of posterior cruciate ligament, and the other end was introduced into the joint through retention suture.

术中将用庆大霉素盐水浸泡过15min的两束异体肌腱对折，肌腱的一端套入松质骨螺钉加垫片固定在后叉韧带的胫骨附着点处，另一端通过牵引线引入关节内，修复切开的后关节囊。

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。

The point is that polygons are stored in a binary tree.

多边形是以点的形式在二叉树中存储的。

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。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。