查询词典 gradient of scalar field

In this equation,* is a scalar multiplication, x is a vector cross product, and .

在方程式中，"*"代表纯量乘法，"x"是矢量的叉积，而"。"

If we give some restrician to the intrinsic quantities of submanifolds, such as second fundamental form, scalar curvature,Ricci curvature or sectional curvature,then we can get some new property of the submanifolds.The procedure is called pinching problem of submanifolds.

对子流形的第二基本形式模长平方s，数量曲率R，Ricci曲率R_及截面曲率R_等内在量，加以某种限制，从而得到子流形的某些性质，叫做子流形的pinching问题。

The diffraction efficiency of a gold transmission phase grating is simulated as a function of the depth of grooves and the duty cycle on the basis of the scalar diffraction theories.

根据衍射光栅的标量理论，计算并讨论了金透射光栅在软X波段衍射效率对光栅厚度和占宽比的依赖关系。

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。

This thesis is concerned with the structure and behaviors of the waves of global weak entropy solutions for an initial-boundary value problems of scalar conservation laws with weak discontinuous flux function.

本文研究在流函数具有弱间断点的条件下单个守恒律初边值问题整体弱熵解的结构和波的行为。

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。

Alternatively, the con- trollers can use the synchronous rectifier itself or loss- less inductor current-sensing methods to provide overload protection with lower power dissipation.

另外，康威特罗勒斯可以使用同步整流器本身或亏损减少电感电流检测方法，以提供低功耗过载保护。

Mr. Dauber's other Schatz hangs in his home movie studio.

多伯把沙兹的另一件作品挂在家里的电影室。