在数

The family of quaternions plays a role in quantum physics, geostatics, control theory and peg-top technology. It is important to know and research quaternions as the development of quaternions. Thus the real representation of quaternion matrices has been appeared.

近年来，四元数矩阵在刚体力学，量子力学，控制理论和陀螺技术中的应用日趋重要和广泛，随着上述四元数力学的不断发展，对四元数矩阵的进一步认识和研究就显得越来越重要。

Hamilton discovered the quaternion ,to the middle period of last century,the application of the quaternion and the quaternion matrix are discovered widely in geostatics,the theory of ped-top using, strap-down inertial ,naviation, enginery and organ,robot technology and artificial satellite attitude control,and so on.

R。 Hamilton发现四元数到上世纪中叶，四元数和四元数矩阵方法在刚体动力学、陀螺使用理论、捷联惯性导航、机器与机构、机器人技术、人造卫星姿态控制等领域应用非常广泛。

The results show that:(1) The mean drag and lift coefficients of box shape bridge deck section have considerable Reynolds number effect;(2) the ratio of width to height affects on Reynold.

在较大的雷诺数范围内测量了不同宽高比箱形桥梁断面的三分力系数，研究了三分力系数雷诺数效应以及宽高比对断面三分力系数雷诺数效应的影响。

There is so much out there in the name of Nadi Astrology.

其方法与性质很像我们的铁版神数，那些一片片干枯的棕榈叶，就好像铁版数，也是一条一条的条列，包括六亲、姓名……只是铁版数是分开条列，而Nadi是"整合"在一片叶子上。

Results (1)ATP could inhibit the proliferation of U937 cells with inhibition rate over 43% after 48hour ATP treatment;(2)ATP treated U937 cells numbers increased obviously in G1 phase,and apoptosis peak appeared before G1 phase,apoptotic cell number was 3.4% for 24hour,and was 22.7% for 48hour of ATP treated U937 cells;(3) Nuclear chromatin condensed into sperical masses bound cytoplasma membrane formed apoptotic bodies which is shed from membrane surface into intercellular medium;(4) Apoptotic bodies were nigrosine staining negtive.

结果 (1)ATP对U937细胞的增殖有按摩明显的阻抑作用，加药48h后增殖的抑制率可达43%以上；(2)ATP处理的U937细胞周期发生改变，G1期细胞数按摩明显增多，ATP作用24h时G1期前出现亚二倍体峰——凋亡峰，凋亡细胞数为3.4%，作用48h时凋亡细胞数增多为22.7%；(3)ATP处理的U937细胞首先在核内染色质浓缩成半月形贴近核膜，逐渐向核膜外移动，进入胞浆内再移向质膜内外面，紧贴质膜外面再逐步脱离细胞体，进入细胞基质中，成为游离的凋亡小体。

Methods Cell culture,flow cytometry,HE staining,Nigrosine staining and electron microscopy were used. Results (1)ATP could inhibit the proliferation of U937 cells with inhibition rate over 43% after 48hour ATP treatment;(2)ATP treated U937 cells numbers increased obviously in G1 phase,and apoptosis peak appeared before G1 phase,apoptotic cell number was 3.4% for 24hour,and was 22.7% for 48hour of ATP treated U937 cells;(3) Nuclear chromatin condensed into sperical masses bound cytoplasma membrane formed apoptotic bodies which is shed from membrane surface into intercellular medium;(4) Apoptotic bodies were nigrosine staining negtive.

结果 (1)ATP对U937细胞的增殖有明显的阻抑作用，加药48h后增殖的抑制率可达43%以上；(2)ATP处理的U937细胞周期发生改变，G1期细胞数明显增多，ATP作用24h时G1期前出现亚二倍体峰——凋亡峰，凋亡细胞数为3.4%，作用48h时凋亡细胞数增多为22.7%；(3)ATP处理的U937细胞首先在核内染色质浓缩成半月形贴近核膜，逐渐向核膜外移动，进入胞浆内再移向质膜内外面，紧贴质膜外面再逐步脱离细胞体，进入细胞基质中，成为游离的凋亡小体。

The research on generalized numerical ranges of operator contains n-numerical ranges and numerical ranges of operator polynomial.

在广义数值域方面，深入研究了算子数值域的重要推广：算子n-次数值域、算子多项式数值域及其谱理论两大问题。

Furthermore, we determine the nonorientable crossing number sequences of those graphs by their crossing numbers on the projective plane and the embedding technique. Then we show that the nonorientable crossing number sequence of C(10,4) is non-convex.

利用子式理论的部分结果，证明了一些循环图C(10，4)，C(9，3)，C(8，3)在射影平面上的交叉数，再利用嵌入技巧，得到了它们的不可定向交叉数序列，并证明C(10，4)的不可定向交叉数序列不是凸的。

In this paper,pose representation by quaternions are researched.With the basic quaternion algebra,the "quaternion based rotations combination theorem" is introduced and proved theoretically.On the basis of this theorem,a method for compute of pose nonliear state transfer function and its linearization is purposed.Then,the computing of the measurement function and the linearization is studied.With the Extended Kalman Filter,the pose is tracked and estimated.

研究用四元数表示物体的姿态，在四元数基本运算法则基础上提出并证明了"基于四元数的多个旋转运动合成规则"，然后将此规则为依据，推导出一种用来计算姿态非线性状态方程系数的方法，对非线性状态转移函数进行线性化，并且研究了测量方程函数的确定及线性化，借助扩展Kalman滤波实现了对姿态的跟踪。

Wheel' pattern were shown around mixed fibrous filter membranes, number of vessel ramification was 112.5±11.31 and ratio of vessel area/CAM area was 6.19±1.29﹪, but there were not localized allantoic vessels developing in the control group, the number of vessel ramification and ratio of vessel area/CAM area in control group were 82.6±8.05 and 1.78±0.33 respectively, so there was significant difference between PMP and control groups. In above mentioned conditions, the number of vessel ramification and ratio of vessel area/CAM area in VEGF group were 128.4±10.02 and 7.44±1.36 respectively, so there was no difference between PMP and VEGF groups.

结果显示：当 PMP的浓度为80 μg/ml时，孵育72小时后混合纤维素滤膜周围可见到放射状密集生长的血管网，血管分支数为112.5±11.31 ，血管面积为（6.19±1.29）﹪，而在对照组无特异性密集血管生成，血管分支数为82.6±8.05，血管面积为1.78±0.33，二组比较有显著性差异（P＜0.05）；而与VEGF组比较，后者的血管分支数为128.4±10.02，血管面积为7.44±1.36，二组比较差异无显著性。

She gently rebuff ed him, but agreed that they could be friends

她婉言拒绝了，但同意作为朋友相处。

If in the penal farm, you were sure to be criticized.

要是在劳改农场，你等着挨绳子吧！