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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。

In chapter 3,the bifurcation theory of topological current is established inthe neighborhoods of limit point,bifurcation point and higher degeneratedpoint respectively.

第三章讨论和建立了拓扑流在极限点,分岔点和高阶退化点的分歧理论。

The principle of three coordinate measuring machine is summarized as follows: Firstly, measured object is placed on the position of three coordinate measuring machine; Secondly, the object surface coordinate values are obtained; Thirdly, the geometry, shape and location of the vane are calculated by mathematic operation.

三坐标测量原理是:将被测物体置于三坐标测量机的测量空间,可获得被测物体上各测量点的坐标位置,根据这些点的空间坐标值,经过数学运算,求出被测物体的几何尺寸、形状和位置。

The inconsistencies of dimensional reduction and naive dimensional regularization in dealing withChern-Simons-matter theory are analyzed.The consistent dimensional regularization combiningwith higher covariant derivative regularization is adopted to consider Chern-Simons field theorycoupled to complex scalar and spinor field.All the local parts of one-loop two-point functionsand three-point functions are computed.Slavnov-Taylor identity is combined with these explicitcalculation results to give the one-loop local effective action.The finite gauge invariant quantumcorrection is shown and finite wave function renormalization constant for each field is defined.Thelocal part of one-loop three gauge field vertex is especially evaluated and it is verified that thereexists a renormalization choice compatible with BRST symmetry.

然后计算了所有的两点函数和三点函数单圈修正的定域部分,利用S-T恒等式给出了单圈定域有效作用量,定义了场的重正化常数,发现物质场和规范场都存在有限的规范不变的量子修正,并讨论了这些有限的规范不变的量子修正的物理意义,进而通过考察单圈三规范场顶角,表明存在与BRST对称性相容的重正化选择。5、在背景场方法的框架下,选择高阶协变导数正规化与维数正规化的杂化正规化方案计算了背景场两点函数的两圈量子修正,结果表明,标志紫外发散的极点项恰好抵消;进一步利用背景场方法中明显的规范对称性,证明背景场三点函数的两圈图贡献也是有限的。

According as different projection of point of fall for Rocket in XOZ quadrant, the correction points are searched with the method along OX axle for errors point of fall, first correction point is searched in first quadrant, second t correction point is searched in second quadrant, third t correction point is searched in third quadrant and so on.

该方法以炮弹落点在XOZ象限投影的不同,沿落点偏差轴OX 寻找推冲点:第一象限一次可寻找到第一修正点,第二象限则应寻找第二点,以至第三点。

First introduced highway alignment's definition, the significance, the developing process and the CASIO series calculator in the highway surveying computation application; Using the traverse survey computation's two basic mathematical model (azimuth calculation, coordinate calculation), compile the corresponding procedure to solve echo the wire coordinate computation; With the aid in the mathematical model which three, four and so on leveling's field operations calculate, compiles the corresponding procedure to solve the road elevation survey computation; According to relaxes the circular curve principal point and the detail coordinate computation mathematical model, based on this programs the solution to relax the circular curve coordinate principal point and the detail coordinate computation, then further develops this procedure to use to calculate the circular curve principal point and the detail coordinate computation.

首先介绍了公路线路的定义、意义、发展过程和CASIO 系列计算器在公路测量计算的应用;利用导线测量计算的两种基本数学模型,编写相应的程序以解决附和导线坐标计算;借助于三、四等水准测量的外业计算的数学模型,编写相应的程序以解决公路高程测量的计算;根据缓和圆曲线主点及细部点的坐标计算的数学模型,在此基础上编程解决缓和圆曲线坐标主点及细部点坐标的计算,然后进一步开发此程序用以计算圆曲线主点及细部点的坐标计算。

Methods: The tenderness of normal points in subjects with acute neck pain were firstly diagnosed with current diagnostic method, secondly were measured with tonic measurement system of local soft tissue, then whose stress-strain curves were analysized to find proper indexes reflexing the difference.

采用自制软组织张力测试系统,观察急性颈痛患者自身压痛点及无压痛点的力-位移曲线,分上颈椎、下颈椎及颈肩背部等三部位,对生物力学指标按照&压痛点&、&无痛点&配对比较。

RESULTS: Expression of iNOS proteins was seen on day 1 following the control stent implanting, developed on day 3, peaked on day 10 and lasted till day 28. iNOS expressions at all time points in diallyl trisulfide coated stent group were higher than those in control stent group. Compared with normal blood vessel tissue, the NO production after stenting decreased on day 1, increased on day 3, maximized on day 10, went down to its pre????stenting level on day 28. At all time points, NO levels in allitridi????stented sites were higher than those in control????

结果: 对照支架组术后1 d血管壁中有少量iNOS蛋白表达,3 d表达增加,10 d达高峰,28 d时仍有表达,二烯丙基三硫化物涂层支架组iNOS蛋白在各时间点的表达量均高于对照支架组;对照支架组术后1 d时NO生成量低于正常组织,3 d时NO水平升高,10 d时最高,28 d时降至基线水平,二烯丙基三硫化物涂层支架组各时间点的NO水平明显高于对照支架组。

Results: expression of inos proteins was seen on day 1 following the control stent implanting, developed on day 3, peaked on day 10 and lasted till day 28. inos expressions at all time points in diallyl trisulfide coated stent group were higher than those in control stent group. compared with normal blood vessel tissue, the no production after stenting decreased on day 1, increased on day 3, maximized on day 10, went down to its pre stenting level on day 28. at all time points, no levels in allitridi stented sites were higher than those in control stented sites.

结果: 对照支架组术后1 d血管壁中有少量inos蛋白表达,3 d表达增加,10 d达高峰,28 d时仍有表达,二烯丙基三硫化物涂层支架组inos蛋白在各时间点的表达量均高于对照支架组;对照支架组术后1 d时no生成量低于正常组织,3 d时no水平升高,10 d时最高,28 d时降至基线水平,二烯丙基三硫化物涂层支架组各时间点的no水平明显高于对照支架组。

The stress-strain index under torsion, three-spot bending and compression of the complete fresh tibia was determined with the vertical compression stress 0-1 000 N, torsion angle 0°-3°, and three-spot bending stress

测定完整的新鲜人胫骨在扭转、三点弯曲、压缩等状态下的应力-应变指标,确定垂直压缩应力为0~1 000 N,扭转角度为0°~3°,三点弯曲应力为

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