查询词典 scalar valued function

Finally, we prove that every Jordan derivable mapping at zero point on B is the sum of an inner derivation and a scalar multiplies identity mapping.

最后我们证明了B上的在零点Jordan可导的线性映射是一内导子与数乘恒等映射之和。

We derived the scalar quantity of magnetic quasi-static vector equation in the electromagnetic crystallizer in the cylindrical coordinates by assuming condition for the mathematical modeling of the electromagnetic crystallizer and dimensionless method and reduction of parameters of electromagnetic governing equations.

在假设了对电磁结晶器数学建模的依据条件下，通过对电磁控制方程组进行参数无量纲化和简化，在柱坐标系中，推导出电磁结晶器内的磁准静态矢量方程的标量形式。

Due to the numerical aperture of DVD pickup is large, and the characteristic size is small, the error of scalar diffraction theory is very large. The in-depth research work on vector diffraction of optical disc was carried out. The optical disk model was analyzed use the rigorous coupled wave theory, and some significative conclusion was obtained. These conclusions can use for guidance of scheme designing of optical pickup.

针对DVD读取头光学系统数值孔径大，光盘特征尺寸小，标量衍射理论误差大等缺点，采用矢量衍射理论对光盘的衍射进行了深入的研究，首次在光学读取头领域中将耦合波理论应用到光盘的衍射分析中，得到了一些有意义的结果，这些结果可以用来指导光学读取头方案的设计。

In this paper we discuss the calculation of scalar form of magnetic dipole model and its application limitation.

考虑了链内颗粒和相邻链中颗粒的影响，修正了磁流变弹性体的磁偶极子模型。

The exact bound solution of Dirac equation for the above potential is obtained under the condition of equal scalar and vector potentials.

提出了一种新的环状非球谐振子势，在标量势与矢量势相等的条件下，给出了Dirac 方程的束缚态解。

If two vectors are associated with each other as a dot product, the result is a scalar.

如果两个向量以标量积结合，其结果为一标量。

Since scalars are independent of the coordinate system, the dot product of two vectors is called a scalar invariant

因为标量与坐标系无关，故两个矢量的点积称为标量不变量。

The three-dimensional supper resolution properties of a doublet are analyzed by the scalar theory of diffraction.

应用标量衍射理论分析了双胶合透镜的三维超分辨成像特性。

In our country, the development of road transportation is mainly simple scalar expansion of low level, The growth of factor productivity contribute small to the economy increase, and the mainly character is: The development of road passenger transport and road freight is mainly the expansion of quantitatively and scalely;the development of road transportation depends on the infrastructure's high devote and market demand increase; technical is draggle and energy consumption is high, the Structural upgrade of industry is slow.

在我国，道路运输业的增长以低水平的简单数量扩张为主，要素生产率提高对增长的贡献度较小，具体表现为：道路客货运输服务的发展以数量和规模的扩大为主；道路运输业的发展仍然依赖于基础设施建设的高投入和市场需求的扩大；技术水平较低，能耗高，产业结构升级步伐缓慢。

The optimality conditions of Kuhn-Tueker and Fritz John's saddle points of vector optimization for generalized subconvex-like mapping are presented. Lagrange dual mapping and relationships among optimality conditions of saddle points, efficient and weak efficient solutions for vector and scalar optimization are established.

在拓扑向量空间框架内研究广义锥次类凸映射的向量优化，给出了广义锥次类凸映射的Kuhn-Tucker和Fritz John鞍点的最优性条件和Lagrange对偶，建立鞍点最优性条件与向量优化有效解和弱有效解之间的联系。

I can not negligent, he should do what?

我不能不在意了，他要做什么呢？

It is very dangerous to swim in the river alone.

一个人到河里游泳是很危险的。