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。
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。
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。
A part of results on magnetic vector potential of circular loop are expanded, so the integral function is transformed to integrable series.
采用将圆电流磁矢势表达式中一部分展成级数，使被积函数变成可积分的函数。
It also shows that two four vector potential can be combined into one four vector potential in the region being free of magnetic charges.
同时还证明在磁荷为零的区域两个四维矢势可以合并为一个。
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。
The magnetic induction intensity distribution B is obtained by solving its magnetic vector potential A distribution of current-carrying circular circuit in anisotropic medium.
提出一种求解各向异性磁介质中电流磁场的新方法，通过求解各向异性磁介质中圆电流环的磁矢势A分布，求出其磁感应强度B分布。
According to Mr Zhang's vector potential theory, SP doesn't generated or originated from dipole layers but curl sources in the borders of dipole layers.
根据张庚骥先生的向量势理论，自然电位不是由偶极层产生，而是由旋度源产生，旋度源在偶极层的边缘。
Support Vector Machines(SVM) is a potential hyperspectral remote sensing classification method because it is advantageous to deal with problems with high dimensions, small samples and uncertainty.
支持向量机因其适用高维特征、小样本与不确定性问题的优越性，是一种极具潜力的高光谱遥感分类方法。
The research expresses that the extension assessment method and the support vector machine are useful tool in the assessment and prediction of sand liquefaction potential.
研究表明，可拓评价方法和支持向量机对于砂土液化势进行评价是行之有效的。
The unique characteristics let the VSV have great potential and advantage to be a live vaccine vector and oncolysis viral vector.
VSV的这些特点使其具有巨大的优势和潜力作为一种活病毒载体和肿瘤治疗载体。
It is exemplified that, with a credible error estimation, their performances are superior to the frequently-used one, which determine internal inductance via the vector magnetic potential.
实例计算表明这两种新算法的性能优于常用的通过磁矢势求解内电感的算法，并能得到可信的误差估计。
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。
Objective: to investigate the potential of learning vector quantization (LVQ) artificial neural network tools for discrimination and forecasting of occurrent intensity of typhoid and paratyphoid.
目的：探讨学习矢量量化(LVQ)人工神经网络在伤寒、副伤寒发生强度判别与预测中的应用。
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。
The distribution of magnetic flux of track eddy current braking device is calculated by using vector potential method.
采用矢量位A法对线性涡流制动装置的磁场分布进行了有限元理论计算。
In wind power system, a vector control strategy using rotor induct electric potential orientation for doubly fed generator was proposed.
针对风力发电系统中的双馈电机提出一种转子感应电势定向矢量控制方法。
According to the principle of virtual-work, the formula of electromagnetic force based on magnetic vector potential is deduced.
根据虚位移原理，推导出基于矢量磁势的电磁力计算公式。
An analytical solution to the vector potential is presented in this paper, which is produced by arbitrary shape eddy-current probes above conducting slabs.
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。
Then, the vector potential and vorticity equations and the method of the false transient are applied to compute the three-dimensional viscous natural convection.
然后利用矢量势和涡方程以及人工瞬变方法计算封闭腔中水的三维粘性自然对流。
The boundary value problem on the magnetic vector potential A is derived by introducing the magnetic vector potential A and using Maxwell's equations.
通过引入矢量磁位A并利用麦克斯韦方程组推出了以矢量磁位A为求解对象的边值问题。
General expressions of the magnetic vector potential for multipole fields are derived.
推导出了用多极场空间谐波函数表示的磁矢位的通项表达式。
The modified scalar potential is used to reduce the order of the coupled equations in the comparison with the vector potential under the same node number.
计算量采用修正标量位，这样在同样的节点数下相对于矢量位它可以减少联立方程的阶数。
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。
When the vector potential function and the differential of the scalar potential function are computed, singular points would occur on TPM.
但在计算矢量位函数和标量位函数的微分过程中，TPM模型将产生奇异点。
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。
Recently it was found that the nuclear symmetry energy can be directly associated with the mean level density and an iso-vector potential.
最新研究发现原子核对称能与平均的能级密度和同位旋矢量势直接相关。
At very low frequencies, the contribution from the vector potential to the impedance matrix is much smaller than the contribution from the scalar potential.
当频率很低时，阻抗矩阵中矢量磁位的贡献比标量电位的贡献小得多。
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。
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。
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