四元的

Recently, a lot of studies have been focused on the anisotropic finite element method, and there appears many relative papers(see [26,27,53,54]). However, the main attention of those were paid to the study of conforming Lagrange elements and the interpolation error analysis on the second order or fourth order elliptic boundary value problems.

近年来，各向异性有限元方法已成为有限元领域的热点问题，陆续出现了许多有关此方面的理论及应用研究成果，见[26，27，53，54]，其中大部分工作主要是针对二阶或四阶椭圆边值问题协调与非协调元的插值误差估计进行的。

In this paper, based on the concept of normal quaternion, a new algorithm for the initial alignment of the integrated system is studied; the alignment algorithm is processed only on the basis of the position and velocity data of GPS.

基于规范化四元数的概念，研究了一种仅利用GPS的位置和速度数据对组合系统进行初始对准的新算法，克服了传统滤波方法进行初始对准存在的诸多局限性。

Vector is a useless survival, or offshoot from quaternions, and has never been of the slightest use to any

向量是无用的幸存物或四元数的无价值的支流，对任何创造，从未有过最微细的应用。

The computational flow of light propagation and the key techniques of visualization are presented. An optical system was employed to verify the correctness and feasibility of quaternion method in the calculation of beam propagation, and the pincushion distortion caused by the optical system was successfully simulated.

通过对某光学系统的仿真分析，成功仿真出图像经过光学系统产生的枕形畸变，证明四元数方法在光线传输运算中的正确性与可行性，为复杂光学系统的空间光线传输计算提供了另一种方法。

But the space is the matter, the matter is the string vibration, only has from this the time which vibrates f=1/T to draw out only then has the physics significance, therefore T is in the true significance time, from this deduction: What imaginary number Ict expresses is void, may write *ct,=I pure imaginary number, also is it with Number space Sigma (x1i*x2j)(i, j is subscript, i=j=1,2,3) differs 90 in the space, the shape for example: Psi ==a+Ib, constitutes a duplicate space by psi i* psi j,(definition mark * for ordinary multiplication) may use Four single numbers

而空间就是物质，物质就是弦的振动，只有从这个振动f=1/T引出的时间才有物理意义，所以T才是真正意义上的时间，由此推论：虚数Ict所表达的是一个虚空间，可以写成*ct，=I纯虚数，也即它与实空间Σ(x1i*x2j)(i，j为下标，i=j=1，2，3)在空间上相差90度，形如：ψ==a+Ib，由ψi*ψj构成一个复空间，可用四元数

The sporophore of Cordyceps militaris and the cordycepin content of intermediate products were monitored in the whole course according to the relation between fixed and mobile phases of solvents in a combination system of binary and quaternary solvents, in which the applied methods were successively supercritical fluid extraction, alcohol sedimentation, low-pressure normal-phase silica-gel chromatography, reversed-phase high-performance liquid chromatography and fractional crystallization.

根据溶剂的固定相与流动相之间的相对关系，采用了二元和四元组合的溶剂系统，顺次采用超临界流体萃取法、醇沉法、低压正相硅胶色谱法、反相高效制备液相色谱法、分步结晶法和反相高效液相色谱法，子实体及其中间产物中的虫草素含量变化情况。

The endocyclic Sn atoms exist in a distorted triginal bipyramidal geometry with the coordination number of 5. The exocyclic Sn atoms form 6 significant bonds and exist in a distorted octahedron geometry.

化合物12的X衍射单晶测定表明，化合物是以Sn2O2四元环为中心的中心对称二聚体结构、内环锡为5配位的畸变三角双锥结构、外环锡为6配位的畸变八面体结构。

On the basis of the single-factor experiment, the quaternionic quadratic rotational combination was used to optimize the extraction process of total relative flavone that came from fermentation fluid of citrus, and we had used the response surface methodology to study the best horizontal extent of solid-to-liquid ratio, extraction time, alcohol density, the microwave power which affected the rate of total flavone relative extraction.

在单因素试验的基础上，采用四元二次通用旋转组合试验优化柑橘皮渣发酵液总黄酮的提取工艺，用曲面响应法对影响总黄酮得率的料液比，提取时间，乙醇浓度，微波功率的最佳水平范围进行研究。

The new method formulizes the immune response as a quaternion AIR=, where G denotes exterior stimulus or antigen, I denotes the set of valid antibodies, R denotes the set of reaction rules describing the interactions between antibodies, and A denotes the dynamical algorithm describing how the reaction rules are applied to antibody population.

新方法将免疫响应过程建模为一个四元组 AIR=，其中 G 为引发免疫响应的外界刺激，即抗原； I 为所有可能抗体的集合； R 为抗体间相互作用的规则集合； A 为支配抗体反应、指导抗体进化的动态算法。

According to the actual circumstance of performance evaluation for mechanical products, the general neural network is reformed. Therefore, we construct the fuzzy neural network. This paper expresses membership function in the network by trapezium formulae .The indicators are fuzzed using the membership function .

网络中采用梯形函数的四元组形式构造模糊隶属函数，并用隶属函数的端点值和中间值作为样本，用改进的反向传播算法训练网络，得到与待评价产品情况相符合的权重值。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。