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Sound wave has both scalar quantity and vector field, while traditional acoustic pressure sensor system merely ma...

声波兼有标量场和矢量场，传统的声压水听器系统仅利用了其声压信息。

The characteristic approximation is used to handle the convection part along the direc-tion of fluid namely characteristic direction to ensure the high stability of the method in approximating the sharp fronts and reduce the numerical diffusion; The mixed finite element spatial approximation is employed to deal with diffusion part and approximate the scalar unknown and the adjoint vector function optimally and simultaneously; In order to preserve the integral conservation of the method, we introduce the modified characteristic method.

该方法对方程的对流部分沿流体流动的方向即特征方向离散以保证格式在流动的锋线前沿逼近的高稳定性，消除数值弥散现象；对方程的扩散部分采用最低次混合有限元方法离散、同时以高精度逼近未知函数及未知函数的梯度；为保证方法的整体守恒性，在格式中引入修正项。

Assume a Lie algebra g has a form B which has all the useful properties of Killingform:bilinearity nondegeneracy,symmetry and invariance.Note that for such a Liealgebra the adjoint representation is equivalent to the coadjoint representation.We callit a symmetric self-dual Lie algebra and the form B an invariant scalar product.

在第一部分的最后一节，我们引进了拟Heisenberg代数的概念，证明了这些李代数均为具有非极大秩的CN李代数，进一步我们还证明了这些CN李代数构成的集合与极大秩幂零李代数构成的集合之间存在着1-1对应关系。

And, on this basis, the VC++ language was used to program the computer. The computerized example was compared with the practical test, and the result showed that the simplification made to the conservation scalar quantity method is feasible on the whole, and compared with the original conservation scalar quantity method, the simplified method has the advantages that programming is more simple, and calculation time can be shortened.

在此基础上，用VC++语言进行编程，将计算后的实例与实际的试验对比验证，结果表明：对守恒标量法所作的简化基本可行，与原来的守恒标量法比较，简化后的编程简单，计算时间缩短。

At last, we provide the upper semi-continuity and compactness of the spectral scalar solution set mapping under some suitable conditions, and the necessary and sufficient conditions to guarantee the lower semi-continuity of the spectral scalar solution set mapping by virtue of the concept of essential solution.

最后，给出了谱标量解集映射满足上半连续且紧的充分条件及下半连续的充分必要条件。

In terms of the topological invariant in Riemann-Cartan spacetime proposed by Prof. Duan and the φ-mapping topological current theory, we gave the cosmic strings with the complex scalar field and showed that the strings appear in the zeroes of the scalar field. Meanwhile one can find that the length of cosmic strings is quantized in the topological level and the quantum number is determined by Hopf indices and Brouwer degrees.

以段一士教授提出的Riemann-Cartan流形中的新拓扑不变量为基础研究了宇宙弦的拓扑结构，指出宇宙弦只能存在于复标量场的零点处，而且在拓扑层面上是量子化的，而该量子数决定于Hopf指数和Brouwer度。

The calculation of wavelet and scalar function coefficients at the process of decomposition of triangular mesh, the choice of wavelet coefficient threshold and the calculation of scalar function coefficient at the reconstruction process are introduced in this dissertation. The multiresolution decomposition, compression and reconstruction of triangular mesh with subdivision connectivity are realized.

关于细分连续三角网格的多分辨分解、压缩与重构，本文介绍了细分连续三角网格分解过程中小波系数及尺度函数系数的计算、小波系数的阈值选取和重构过程中尺度函数系数的计算，并给予了实现，获得较好的压缩性能和质量。

Compared with scalar wavelets, multiwavelet offers simultaneous orthogonality, symmetry and short support, which is not possible for scalar wavelets, and it plays an important role in the signal processing. Especially in increasing identification efficiency and reducing misdeem ratio of aviation picture in military reconnaissance, multiwavelet plays a more important role.

多小波技术把十分重要的光滑性、对称性、正交性、有限支撑等完美地结合起来，弥补了单小波的不足，为信号处理领域开辟了新纪元，尤其在提高军方侦察航空图像的判读效率、减少误判率方面更具有十分重要的意义。

The 3D numerical simulation of 154kA prebake anode aluminum reduction cells is conducted by the combination of the scalar voltage potential method and two scalar magnetic potential method s.

以标量电位法和双标量磁位法相结合，对 15 4kA预焙铝电解槽磁场进行三维数值计算。

The other in mind: the plane is a simple melody composition, time scalar is the beat, sound scalar is note is two-dimensional vector.

其他想到的：平面构图就是一段单纯的旋律，时间标量是节拍，音响标量是音符，是二维矢量。

He knows that he's one of the mostdominant players in the NBA right now.

我知道他现在是联盟里最有统治力的球员之一了。

Using analysis method of BCG , the dissertation analyzed the management of voluntary service organizations .

利用BCG分析方法对我国的志愿服务组织管理进行了分析。