The induction force is yielded by the non-uniformity of the field intensity which depends on the gradient of field components.
感应力是场强的不均匀性所引起，场强的不均匀程度由场强分量的梯度决定。
Say that f, our vector field is actually the gradient of some function.
也就是向量场f实际上是一个函数的梯度。
Well, if I have a gradient field, then if I try to compute this line integral, I know it will be the value of the function at the end point minus the value at the starting point.
如果有一个梯度场，然后想计算线积分，我知道积分值是,起点的函数值减去终点的函数值。
OK, so that's the general method of calculation, but we've seen a shortcut for work when we can show that the field is the gradient of potential.
这就是计算的一般方法，但求功的时候，如果向量场是某个势的梯度,是有捷径可走的。
One is to say that the vector field is a gradient in a certain region of a plane.
一个是向量场,在给定平面区域内是梯度场。
Well, we've seen this criterion that if a curl of the vector field is zero and it's defined in the entire plane, then the vector field is conservative, and it's a gradient field.
我们已经知道了一个准则，如果向量场的旋度为零，而且它在整个平面上有定义，那么这个向量场是保守的，而且它是个梯度场。
For example, the electric field or gravitational field is given by the gradient of the gravitational or electric potential.
例如由重力势梯度给出的重力场，或由电势梯度给出的电场。
If you take the gradient of this, you should get again this vector field over there.
对这个函数取梯度，你应该又得到这个向量场。
So, if the gradient of a function is a vector, the divergence of a vector field is a function.
如果说函数的梯度是向量，那么向量场的散度就是函数。
And it is a gradient field in that part of the plane and conservative and so on. The answer for now is, in general, no.
在那部分平面上，梯度场，是保守的，目前来说结论一般是不对的。
Well, if we know that it's a gradient field, that we've seen that we get these properties out of the fundamental theorem.
如果我们知道它是一个梯度场，就可以由基本定理，得到上面那些性质。
So, it's a force field is the gradient of a potential so, I'll still keep my plus signs.
有一个力场，它是某种势的梯度，我们还是保持正号。
And, of course, it is not a coincidence because this vector field is a gradient field.
当然这并非巧合，因为这个向量场是有势场。
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 size of current path, resistivity, power density are main factors that effect the temperature field and temperature gradient field at crack tip.
试件的通流尺寸、电阻率、导入电流密度是影响裂纹尖端温度场和温度梯度场的主要因素。
Results: Making use of the low field gradient echo (GE) -t2w's scanning can improve identifying meniscus injury.
结果应用低场梯度回波序列(GE)T2 W扫描可提高半月板损伤的诊断。
According to features of edge gradient maps of face images, a new eye feature extraction algorithm based on gradient vector flow field was proposed.
根据人脸图像的边缘梯度图提出了一种新的基于梯度向量流场的眼睛特征提取方法。
Also, digital simulation of temperature field and temperature gradient of tissue is performed, which is coincided with experiment.
对冷冻过程中机体组织内部的温度场和温度梯度进行了数值模拟，与实验结果吻合较好。
In this paper, on the basis of Gradient Vector flow (GVF) snakes, a fully automatic image segmentation algorithm based on the analysis of flow field and the minimal path method is proposed.
人工干预使蛇模型只能用于半自动的图像分割，该文在梯度向量流(GVF)蛇模型的基础上提出一种基于流场节点与最小路径方法的全自动图像分割算法。
The developing level of the technology of producing in-situ gradient composites in outside force field (centrifugal method and electromagnetic separation method)has been reported.
综述了利用外力场（离心铸造法和电磁分离法）制备自生梯度复合材料的研究现状。
The normalized full gradient and phase of gravity anomalies have been studied by potential field conversion and fast Fourier transform in wave-number domain.
用波数域的位场转换和快速傅立叶变换理论研究重力归一化总梯度和归一化相位；
The phase mapping method of a field inhomogeneity based on an Z axis pulse field gradient and polynomial fitting procedures of the axial shimming coil currents were described.
通过对Z轴磁场梯度和匀场线圈电流的多项式拟合，以获得磁场不均匀而引起的相位分布。
In this paper, the method of gradient was advanced and compared with the standard formation number general in the paper field.
提出了梯度分析法，并将其与国际上通用的标准匀度指数法进行了分析和比较。
The temperature difference variation of model boundary shows the space gradient of temperature field, and the larger boundary temperature difference requires higher order.
模型边界的温差变化表现了温度场的空间梯度，越大的边界温差需越高的计算阶数。
Magnetic gradient tensor is that the three components of the magnetic field vector space rate of change, is able to do well for the dipole localization and tracking.
磁力梯度张量表示的是磁场矢量三个分量的空间变化率，能够很好地用于偶极子场源的定位跟踪。
Based on the theory of the local spectrum of ambient-sea noise field, theoretical models of the low-noise-channel for typical shallow-water negative gradient (or thermocline) are developed.
本文根据海洋噪声场随机局部谱展开理论，分析了典型浅海负梯度(或负跃层)下低噪声信道的理论模型。
Not only is the new field type a divergent field of a high gradient, it also possesses some penetrating capacity.
这种新场型既是高梯度发散磁场，又具有一定的穿透能力。
The design of a pulsed field gradient unit for USES on NMR spectrometers is discussed.
给出一种用于核磁共振谱仪的脉冲场梯度单元的详细设计。
The design of a pulsed field gradient unit for USES on NMR spectrometers is discussed.
给出一种用于核磁共振谱仪的脉冲场梯度单元的详细设计。
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