给出了引入势场函数的一维波函数的表达式。
The expression of one-dimensional wave function including the potential field function is presented.
利用样条函数在同一区域上的变异，建立半解析样条元位移场函数。
This paper makes use of the different type of spline function in the same domain to make the displacement function of the semi-analytical spline element.
将三维塑性流动问题转化为简单二维问题，求解了异型挤压塑性速度场函数。
Hence, three-dimension plastic flow problems are translated into two-dimension problems, and the plastic velocity field function is given in special-shaped extruding.
提出了一种改进的势场函数，并对改进势场函数的规划方法进行分析，发现该方法并不能完全解决局部极小问题。
The matters what leads to failure in the planning of traditional APF because of the local minimum problem is discussed, and an improved artificial potential method is proposed.
采用物理图像分析，建立简单的数学模型，求解并获得了有限空间气溶胶浓度场函数表达式，并进行相应的数值分析。
The mathematic model is set up by using physics image analysis, the expression of aerosol concentration field in limited space is derived, and the correspondent numerical analysis is .
也就是向量场f实际上是一个函数的梯度。
Say that f, our vector field is actually the gradient of some function.
实际上，找出一个函数，其梯度是这个向量场并不难。
Well, actually here it is not very hard to find a function whose gradient is this vector field.
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。
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.
要看向量场,能否写成，其中f是同一个函数。
We want to know whether a given vector field with components P, Q and R can be written as f sub x, f sub y and f sub z for a same function f.
第一个函数返回每个单元格的边界样式，而第二个函数返回一场比赛结果(如果存在的话)。
The first function returns the border style for each cell, while the second function returns the results (if any) for a given matchup.
我想找出这个向量场的势函数。
这只是一个由向量场得到的,有点特别的函数，但这跟别的函数是一样的。
This is just a particular kind of function that you get out of a vector field, but it is like any function.
空间中的向量场的旋度，是一个向量场，而不是一个标量函数，我必须告诉你们。
The curl of a vector field in space is actually a vector field, not a scalar function. I have delayed the inevitable.
但它们不一定是，某个以该向量场为梯度的函数的等值线。
But they won't be the level curves of a function for which this is the gradient.
对这个函数取梯度，你应该又得到这个向量场。
If you take the gradient of this, you should get again this vector field over there.
如果说函数的梯度是向量，那么向量场的散度就是函数。
So, if the gradient of a function is a vector, the divergence of a vector field is a function.
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。
If we have a vector field that cannot possibly be a gradient then we shouldn't try to look for a potential.
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。
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.
并且研究了非晶碳薄膜的场发射特性，计算了薄膜的功函数、实际发射面积和发射点密度。
The field emission properties were studied, and the work function, actual emission area and density of emission spot were calculated.
从理论和实验上研究了材料功函数对场致发射稳定性的影响。
This paper discusses experimentally and theoretically the influence of work function on the field emission stability for ta top.
根据现场旋风除尘器的运行情况，用双目标函数加权的方法，确定了除尘器入口速度，并用PHOENICS程序对流场进行了计算和分析。
According to the operation condition, the entrance velocity of precipitator is confirmed by double object function weighting, and the fluid field is calculated by PHOENICS program.
本文从理论上研究了部分相干情形下，各种相干函数及相干度，对直边象场分布的影响。
This paper deals theoretically with the influences of various kinds of mutual coherence function and the degree of coherence on the distribution of straight-edge generated image field.
这里是两个自定义时间线的动态演示。“进场”和“离场”都持续200毫秒，但它们有不同的缓动函数。“离场”动画会在轻微的延迟之后开始。
Here are a couple of custom timings in action. Both enter and leave last for 200 milliseconds but they have different easings. The leave begins after a slight delay.
利用自然正交函数展开的前三个特征向量场及对应的时间系数将梅雨降水分成三类六型。
The Meiyu precipitation can be classified into three classes and six patterns by using the first three characteristic vectors and their corresponding time coefficients.
利用局域场修正的介电函数，研究了注入离子在强耦合简并电子气中的阻止本领和能量离散。
The stopping powers and energy stragglings for implanted ions in strongly coupled degenerate electron gas were investigated using local -field correction dielectric function.
并分别计算了平面波正横和斜入射单层和双层无限长圆柱壳体的远场散射形态函数。
The scattering form functions of the single shell and double concentric shells insonified by a normally and obliquely incident plane wave are calculated.
运用保角变换法将复杂的几何区域变换为比较简单的区域，从而推导出供热管道周围的温度场分布解析函数式。
Based on the conformal conversion method to simplify the shape of the region, derives an analytic function formula of temperature distribution field around a cylindrical heating pipe.
运用保角变换法将复杂的几何区域变换为比较简单的区域，从而推导出供热管道周围的温度场分布解析函数式。
Based on the conformal conversion method to simplify the shape of the region, derives an analytic function formula of temperature distribution field around a cylindrical heating pipe.
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