查询词典 scalar valued function

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。

If we study further the characteristic of this algebraic structure under the action of permutation group elements, it would provide a new approach to solve the problem about the renormalization of noncommutative scalar fields.

如果进一步考察该代数形式在置换群作用下的置换性质，就为我们提供了一种完全解决非对易标量场重整化问题的一种可能途径。

In chapter 2, the real scalar field equation is solved numerically in Schwarzchild-de Sitter space-time with different angular frequency co.

在论文的第一章，简单地介绍了黑洞的形成、视界的概念、黑洞的热性质以及黑洞辐射和标量场辐射等基础知识。

An example of a managed object is at input, which is a scalar object that contains a single object instance, the integer value that indicates the total number of input AppleTalk packets on a router interface.

一个被管理对象的例子是输入，一个标量对象包含一个单独的对象实例，整型值显示在路由器接口上输入AppleTalk数据包的总数目。

All the probes were pointed on glass slides by GMS 417 Arrayer. Amplified plasmids wer.e labeled by PCR fluorescence(CY5)-primer and CY5-dUTP. The labeled plasmids were applied to the DNA chip. The hybridization was performed at scalar temperatures (43 C, 45 C, 47 C, 49 C, 51C) for one hour. After hybridization the chips were scanned by GMS418 Array Scanner.

采用PCR引物直接标记法和掺入法对HPv标准品进行扩增和荧光标记，将标记好的标准品与芯片在梯度温度下(43℃，45℃，47℃，49℃，51℃)杂交1 小时，用GMs 418 Array Sc~er扫描仪对杂交后的芯片进行扫描检测分析，用 sca'Array软件对各信号点进行信号强度采集。

This dissertation is mainly about the scalar field in curved black hole spacetime backgrounds assumed to be asymptotic de Sitter space at infinity.

本文的主要内容是关于黑洞视界外部时空中的标量场，我们选择的黑洞时空在无穷远处是渐近de Sitter时空。

The paper is made up of two parts:Firstly, we studied systematically the radiative decays of light vector mesons:〓in the framework of a U(3)L×U(3)〓chiral theory of mesons. In this theory, low-lying pseudo scalar, vector, axial vectormesons are introduced as the bound states of the quark fields.

全文分轻味矢量介子辐射衰变和重味矢量介子的软π衰变两部分：首先，我们在U(3)〓×U(3)〓手征介子理论的框架内，系统的研究了轻味矢量介子ρ，φ的辐射衰变〓在该理论中，低能的赝标，矢量和轴矢介子场是作为夸克场的束缚态被纳入。

It supports base vector operations, and it is combined to scalar processing totally.

支持向量基本运算操作，并能与标量执行机制完全融合。

In section 3 ,we will introduce bilinear form B on Lie colour algebra L. is called quadratic if B is color symmetric .non-degenerate and invariant .In this case ,B is called an invariant scalar product on L .

第三部分介绍了具有双线性型B的李color代数L，如果B是color对称的，非退化的和color不变的，则称是二次李color代数，B则称为不变数量积，给出了理想非退化的定义。

Uniform scalar quantification was implemented for each high frequency sub-band. Bit plane encoding followed and included two parts.

然后对各个高频子带进行均匀量化，量化后的数据采用比特平面编码。

I want to be a big fish in a small pond.

我要做一条在小池塘里的大鱼。

While the software functioned well, we did not feel the same about their customer support!

虽然该软件运行良好，我们没有同样的感觉他们的客户支持！