查询词典 vector analysis

In the third part, we study an application of stereographic projection transformation in statistics, deriving Box-Muller formula (use two independent uniform random number to generate two independent standard normal random number) and spherical symmetric distribution (a product of a positive random variable and a random vector with uniform distribution) in multivariate statistical analysis.

第3章，研究了球极投影变换在统计中的应用，通过球极投影变换获得了利用两个相互独立的均匀随机数生成两个相互独立的标准正态随机数的Box-Muller公式以及多元统计分析中的球对称分布（一个正的随机变量和一个与之相互独立的均匀分布的随机向量的乘积）。

New properties and improvements on VSI. Combining the density processof local absolute continuous measure, properties of the martingale space H1 and semi-martingale space, and the closed image theorem of functional analysis (see the proofs ofTheorem 2.4.5 and Theorem 2.4.10), we obtain the general form of Girsanov Theorem forsemi-martingale vector stochastic integral .

特别是利用局部绝对连续测度的密度过程、鞅空间H1与半鞅空间的性质以及泛函分析中的闭图像定理(见定理2.4.5与定理2.4.10的证明)获得了一般形式的半鞅向(来源：Ab6BC论a1文网www.abclunwen.com)量随机积分的Girsa-nov定理，它对于随机分析的理论与随机积分的应用都具有重要价值。

Transferred the NP-1 gene into C. ellipsoidea by electroporation with high efficiency expression vector pBinUΩNP1. PCR, Southern blot and Northern dot blot analysis of the G418resistant alga strains indicated the stable integration and correct transcription of NP-1 in C. ellipsoidea genome. In vitro antagonistic assays showed the proper expression of defense gene in C. ellipsoidea. Transgenic C. ellipsoidea is antagonistic to gram negative bacteria—Bacillus subtonic, gram positive bacteria—Escherichiacoli and fungi—Fusarium oxysporum to some extent.

以椭圆小球藻完整细胞为受体，采用电激转化法将连接在高效表达载体pBinUΩNP1上的兔防御素NP-1基因导入小球藻，通过PCR、Southern杂交、Northern点杂交对转基因小球藻进行了分子检测，同时通过体外离体抑菌实验检测了兔防御素NP-1基因表达产物的活性，结果表明NP-1基因已稳定整合到小球藻基因组中，并进行了正确转录和表达。

The topology analysis of vector field around "a singular point" is refered in the study of the topology of three-dimensional symmetric tensor field around a simple degenerated point, which can be classified into three types of hyperstreamline sectors:"hyperbolic sector","parabolic sector" and "elliptic sector".

本文参考矢量场中"奇点"附近的矢量轨迹分布结构，研究了张量场中"退化点"附近的特征向量分布形态。确定了"退化点"附近"超流线体"轨迹的三种形态。"抛物扇区"、"双曲扇区"、"椭圆扇区"及其这些扇区的边界。

Based on the Frenet-Serret formulas which are very important in the vector and tensor analysis theory, the force and moment equilibrium equations are established by the technique of apparent components system.

以在空间曲线理论中起重要作用的富列耐—塞勒(Frenet—Serret)公式为基础，把BHA所受的力及力矩表示为三维非正交坐标系中视分量的形式，建立了力和力矩平衡方程。

In the numerical study, the governing equations of flow and heat transfer in 3 —D body—fitted curvilinear coordinate system being automaticly generated with TTM method were deduced by means of vector and tensor analysis. These equations were dliscreted with nonstaggered grids providing relative elimilating method for the pressure oscillation was domonstrated.

在数值分析中，借助于矢量理论和张量分析，导出了具有普遍意义的三维任意曲线坐标系下的流动传热控制方程，并利于TTM方法生成了计算域的贴体曲线坐标网格；在数值离散过程中，尝试了用非交错网格离散的方法并解决了压力场振荡的抑制问题；运用附面层理论，阐述了壁面函数法在三维任意曲线坐标系上的应用。

Based on the analysis of the AUV vector thruster control system structure, hardware and software implement strategy is given in detail.

在对水下航行器矢量推进器控制系统体系结构分析的基础上，给出了详细的硬件和软件实现策略。

In order to look for fast calculation model of a linear oscillation motor, which can express the transitive relation between parameters and performance. The basic mathematic model of a linear oscillation motor is established by finite analysis method and the regression modeling method for the support vector machines is introduced. Then, the SVM calculation model is set up. A shortcut online calculation method is provided for the process of the parameter optimization of linear motors.

为了寻找反映直线振荡电机参数与性能输入输出传递关系的快速计算模型，利用有限元分析法，建立了直线振荡电机非参数建模的基本数据计算模型，根据基本数据计算模型，引入支持向量机(Support Vector Machines， SVM)非参数回归建模方法，建立了用于直线振荡电机参数与性能之间输入输出传递关系的SVM计算模型，为电机参数优化过程提供了方便快捷的在线计算方法。

In addition, a vector nozzle shape design method that couples viscous flow analysis, a complex method is described in this paper.

本文首先研究了二维非结构网格的生成方法，采用Delaunay三角化与阵面推进相结合的方法。

By the establishment of the related computer program,the various improvement to the traditional method is made,and the method of vector algebra is applied to calculate the safety factor of block model.The automatic implementation of the stability analysis and evaluation of weage rock mass are acchieved by the program.

传统的做法是在野外结构面测量的基础上，通过手工赤平投影的方法，确定各结构面的交线产状，由此确定滑面的大小及楔形体上的作用力[3]；最后在明确了楔形体大小和受力的基础上，用极限平衡理论计算楔形体的稳定性[4]。

The dissecting of samples in group2 were difficult. The root of pulmonary artery and ascending aorta failed to be unfolded because fibrous tissue was tough, right and left fibrous trigone were too firm to be solved by hand. Cardiac muscle fibers couldn't be stripped along myofibrillar trajectory since they were prone to break because of their friability.

组2的心脏解剖困难，表现为纤维组织坚韧，游离肺动脉非常困难；徒手无法松解左、右纤维三角，肺动脉和主动脉根部的游离非常困难；心肌纤维坚硬、质脆，解剖时容易断离成碎块，无法沿纤维走行方向剥离。

We have battled against the odds in a province that has become increasingly violent.

我们对在一个争夺日益激烈省的可能性。