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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。

Considering "addition theorem of probabilities", the above idea can be expressed as follows: Assum that a beam passes through a partition with two slit and arrives a screen. The probability of the event that an indivedual particle falls on somewhere of the screen under the condition that two slit open simultaneously, is equal to the sum of two probabilities of the same event under that two slit open in turn.

考虑到"概率的加法定理",这种看法可表成:"当一个拉子束通过一个带有两条缝的隔板到达一个屏上时,在两条缝同时打开的条件下单个粒子落在屏土某处的概率,等于在两条缝轮流打开的条件下该拉子落在该处的两个概率之和。"

We investigated constituent of triterpenoid saponins ofAlbizzia, two new compounds together with two known compounds were isolated from Albizzia julibrissin Durazz. by using column chromatography (macroreticular resin, silica gel, Sephadex gel, reverse phase silica gel),preparative HPLC methods et al.On the basis of spectroscopic analysis, including IR,ESI-MS,~1H-NMR,~(13)C-NMR,HMBC,HMQC,~1H-~1HCOSY and chemical methods, the structure of two new compounds were identified as 3 - O -[β-D-xylopyranosyl(1→2)-β-D-fucopyranosyl (1→6)-β- D -2- deoxy - 2 - acetoamidoglucopyranosyl] -21-O-[(6S)-2- trans- 2,6-dimethyl - 6 - O-β- D - quinovopyranosyl -2,7- octadienoyl] - acacic acid- 28 - O-β-D-glucopyranosyl(1→3)[α-L-arabinofuranosyl(1→4)]-α-L-rhamnopyranosyl(1→2)-β-D-glucopyranoside acacic acid 3- O -β- D- glucopyranosy(1→3)-β- D- fucopyranosl(1→6) [β-D- xylopyranosyl (1→2)]-β-D-glucopyranoside ;two known compounds were acacic acid lactone 3- O -β-D- xylopyranosyl-(1→2)-β-D-fucopyranosl (1→6)- 2-deoxy -2 -acetoamido -β-D- glucopyranoside ; acacic acid lactone 3- O-β-D-xylopyranosyl(1→2)-α-L- arabinopyranosl (1→6)- 2- deoxy - 2- acetoamido -β-D-glucopyranoside . The study lays chemical foundation and chemical reference substance for enhancing quality standard of Albizzia julibrissin Durazz.

本研究论文在综述国内外对合欢属Albizzia三萜皂苷化学成分和药理作用研究进展的基础上,利用传统植化分离手段和现代分离技术,包括大孔树脂、硅胶、葡聚糖凝胶、反相硅胶等柱色谱,制备高效液相色谱法等技术从中药合欢皮中分离得到了4个化合物,其中,2个新化合物和2个己知化合物,并进一步通过现代分析技术IR,ESI-MS,~1H-NMR,~(13C-NMR,HMBC,HMQC,~1H-~1HCOSY等和化学方法鉴定了2个新化合物的结构分别是:3-O-[β-D-吡喃木糖基(1→2)-β-D-吡喃夫糖基(1→6)-β-D-2-去氧-2-乙酰氨基吡喃葡萄糖基]-21-O-[(6S)-2-反式-2,6-二甲基-6-O-β-D-吡喃鸡纳糖基-2,7-辛二烯酸基]-金合欢酸-28-O-α-L-呋喃阿拉伯糖基(1→4)[β-D-吡喃葡萄糖基(1→3)]-α-L-吡喃鼠李糖基(1→2)-β-D-吡喃葡萄糖苷,金合欢酸3-O-β-D-吡喃葡萄糖基(1→3)-β-D-吡喃夫糖基(1→6)[β-D-吡喃木糖基(1→2)]-β-D-吡喃葡萄糖苷;2个已知化合物结构分别是:金和欢酸内酯3-O-β-D-吡喃木糖基(1→2)-β-D-吡喃夫糖基(1→6)-β-D-2-去氧-2-乙酰氨基吡喃葡萄糖苷,金和欢酸内酯3-O-β-D-吡喃木糖基(1→2)-α-L-吡喃阿拉伯糖基(1→6)-β-D-2-去氧-2-乙酰氨基吡喃葡萄糖苷。

Just add at least two whitespaces at the opposite end of your text: Add two spaces on the left to align right, two spaces on the right to align left and two spaces at least at both ends for centered text.

只需要添加多余两个的空格在您需要对齐的方向的反向即可:如果需要右对齐,在左边添加两个空格;反之,则在右边添加。在两边均添加空格可以实现中间对齐。

After a two-week screening period, 18 patients participated in a four-week as-required regimen of 2 mg apomorphine SL, escalated to 3 mg when appropriate after two weeks. Three patients (16.7%) benefited from this treatment modality ( P .05). The nonresponding group of 15 patients continued with a daily regimen of 2 mg apomorphine SL for two weeks followed by 3 mg daily for two weeks. The 3 mg daily regimen was more effective for ED ( P .02) and for each sexual domain scored with the International Index of Erectile Function questionnaire. Adverse events, as reported by three patients (23%) during the 3 mg regimen, were nausea, dizziness, and headache.

在二星期的筛检过程之后,18位病患参与为期四个星期的2mg,在两星期后适当的增加至3mg的阿朴吗啡 SL疗法,其中三位病患(16.7%)受益于这种治疗方法(P 。05),15位无反应的病患持续接受每日2 mg的阿朴吗啡 SL两周后,再接著以每日3 mg的两周治疗,对于ED及国际勃起功能指数调查表的每项性功能区计分,每日3 mg的疗法比较有效(P 。02),在接受3 mg疗法期间三位病患( 23%)的不良事件,为恶心、眩晕、和头痛。

By the combinatorial proof or combinatorial interpretation, the identity is equipped with certain count meaning. The most general way in the combinatorial proof is to count two sides of the identity by two different methods. Generaly, through building a bijection from one set to another one, the number of the two sets respectively represents the two sides of the identity.

恒等式的组合证明或组合解释赋予了恒等式一定的计数意义,组合证明最常用的方法是分别用两种不同的方法对恒等式的两端进行计数,一般通过构造两个集合之间的双射,这两个集合的个数分别表示恒等式的两端,从而根据双射的一一对应性证明恒等式。

By adjusting the positions and angles of the two DVD optical pick-up heads, the relative distance of the two laser spots can be equivalent to one quarter of the grating pitch. When the grating moves, the surface profile of the grating can be measure directly, in order to obtain the two quadrature sinusoidal signals. Then by counting the zero crossing of these two quadrature sinusoidal signals and calculating the interpolation value of these two quadrature sinusoidal signals, the moving direction and moving displacement value of the grating can be obtained.

采用两个光学读取头,且两个光学读取头共用同一分光镜与同一聚焦物镜,於搭配光路的设计,可使两个光学读取头之光束打入同一聚焦物镜,藉由调整两个DVD光学读取头的位置与角度,使聚焦物镜聚焦的两相近聚焦光点的距离相等於四分之ㄧ光栅尺间距,当光栅尺移动时,可直接量测光栅尺的表面轮廓变化,以获得一组正交的弦波讯号,继而利用讯号四分割与细分割处理,计算出光栅尺之移动方向与移动量。

Using the two-stream fluid model, the linear dispersion relation is derived assuming a two-dimensional spatial geometry. Two cases are considered, one is that the 2D spatial geometry is defined by the plane containing the two counterstreaming electron populations and the perturbation wave vector , and the other is that the geometry is defined by the plane being vertical to the two counterstreaming electron populations .

对高能束流和电子回流构成的双流系统,建立冷等离子体流体模型,采用简正模分析方法,分别考虑扰动波矢在平行于电流传播方向的平面上和在垂直于电流传播方向的平面上这两种情况,推导了不稳定性的色散关系。

A woman in Iowa gave me two bundles of graham cracker, two cans of soda, two cans of tuna, two apples and two pieces of chicken—a veritable Noah's Ark sack of lunches.

在爱荷华洲,一个妇女给了我两捆饼干,两听饮料,两听金枪鱼罐头,两个苹果和两片鸡肉—真正的诺亚方舟---一丰盛的午餐。

Liao source building glass products cover a number of types of building glass, the existing production lines, including two of the level of steel line, two lines of bending steel, a Low-E glass fiber reinforced plastic of line, two folders plastic glass production line, a hollow glass production line A GLAZE glass production lines, two bending glass production line, two one-step color folder folder wire glass production lines, three bilateral milling machine, automatic glass cutting machine Paul Quintero, many Units milling machine, positioning drilling machine, different line milling machine, Beveling machine, such as production equipment.

燎源建筑玻璃产品涵盖了多个种类的建筑用玻璃,现有生产线包括两条水平钢化线、两条弯钢化线、一条Low-E玻璃钢化线、两条夹胶玻璃生产线、一条中空玻璃生产线、一条彩釉玻生产线、两条热弯玻璃生产线、两台一步法彩夹夹丝玻璃生产线、三台双边磨边机、全自动保特罗玻璃切割机,多台磨边机、定位钻孔机、异行磨边机、斜边机等生产设备。

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推荐网络例句

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸,那乌黑、忧郁的眼睛,她便会相信,他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失

But because of its youthful corporate culture—most people are hustled out of the door in their mid-40s—it had no one to send.

但是因为该公司年轻的企业文化——大多数员工在40来岁的时候都被请出公司——一时间没有好的人选。