If we have a vector field that cannot possibly be a gradient then we shouldn't try to look for a potential.
如果一个向量场不可能是梯度场，那我们就不应该尝试去找势函数。
So, actually on Tuesday we'll see how to decide whether a vector field is a gradient or not, and if it is a gradient, how to find the potential function.
周二我们就知道，怎样确定一个场是不是梯度，如果确实是梯度的话，怎样算出势函数。
There is another thing that we know because if a force derives from a potential 0 then that means its curl is zero Thats the criterion we have seen for a vector field to derive from a potential.
我们还知道,如果力是由势产生的,那么其旋度是,这就是我们得到的,关于从势产生的向量场的准则。
In this paper the transmission of paraxial light beams was analyzed based on the gradient vector potential of electromagnetic field.
本文运用电磁场的梯度矢势分析了一般情况下傍轴光束的衍射传输问题。
The result tallies with that obtained by way of setting up vector field and leading into vector magnetic potential in electrodynamics.
其结论此方法与电动力学中建立矢量场并引入矢量磁位的方法所得结果相吻合。
Magnetic vector potential is regarded as variables to gain solution of excitation magnetic field and armature response magnetic field.
以矢量磁位作为求解变量得到励磁磁场和电枢反应磁场的二维解。
When the double and array dipoles are put in the conductive media, the formula of radiation field of them have been derived from vector potential equation of single dipole.
利用电偶极子辐射场的矢势导出了阵列偶极子在导电媒质中辐射场的一般形式，所给出的公式不仅适用于近区、感应区，而且还适用于远区。
This indicates that there is more profound physical meaning of the gradient vector potential of electromagnetic field.
因此，它表明电磁场的梯度矢势具有更明显的物理意义。
In this paper, the boundary value problem of the magnetic vector potential is derived by use of the character of the axisymmetrical electromagnetic field.
利用轴对称电磁场的性质得到了以矢量磁位为求解对象的边值问题。
The results prove that the physic characteristics of symmetrical static electric field can be described by the vector potential in static electric field.
结果说明在电场中引入矢量势，能够刻画静电场的物理性质。
To improve the efficiency of eddy field calculation with magnetic vector potential, necessary simplification is applied.
为了实现高效的计算，涡流场的计算引入磁矢量位法，进行必要、合理的化简。
The vector magnetic potential is regarded as a variable to gain the two-dimension solution of excitation magnetic field and armature response magnetic field.
并以矢量磁位作为求解变量得到励磁磁场和电枢反应磁场的二维解。
In this paper, the calculating formulas of magnetic field for long current carrying conductor with any form of cross-section are deduced with the help of magnetic vector potential.
本文由磁矢量位出发，导出具有任意形状截面的长导体磁场计算公式。
In this paper, a general method of three dimensional vector potential solution for nonlinear magnetostatic field problem by means of the finite tetrahedral element method is presented.
本文给出了用有限四面体单元计算三维非线性恒定磁场的一般过程。
Through the introduction of magnetic vector potential, the mathematical model of electromagnetic field and eddy current field was established.
其中，电磁场和涡流场的数学模型是通过引入复矢量磁位而建立的。
The fast multipole method(FMM) is introduced to solve the magnetic vector potential in 3-D electromagnetoquasistatic field.
提出了一种求解任意形状线圈位于平板导体上方时矢量磁位的解析方法。
The 3d finite element vector potential equations of non-linear anisotropic magnetostatic field have been derived in a pithy style by dyadic analysis.
借助并矢分析，分别采用加权余量法和变分法，推导出了三维非线性各向异性静磁场的矢量位有限元方程的一般计算公式。
Image features are represented using the theory of electromagnetics. Corners are detected in the vector potential of the field.
该方法利用电磁场理论表达图象特征，进而从特征图象中提取出角点。
If using the scalar potential instead of the vector potential to analyze the current-carrying regions in a 3d magnetostatic field, the computing time can be greatly reduced.
在三维有限元磁场中，如果对电流区域进行适当处理，采用标量磁位进行分析，与采用矢量磁位相比，可大大提高计算速度。
If using the scalar potential instead of the vector potential to analyze the current-carrying regions in a 3d magnetostatic field, the computing time can be greatly reduced.
在三维有限元磁场中，如果对电流区域进行适当处理，采用标量磁位进行分析，与采用矢量磁位相比，可大大提高计算速度。
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