To compute things, Green's theorem, let's just compute, well, let us forget, sorry, find the value of a line integral along the closed curve by reducing it to double integral.
用格林公式计算…，只是计算…，让我们忘记…，应该是，算沿闭曲线的线积分值，可以通过二重积分来算。
And let's take my favorite curve and compute the line integral of that field, you know, the work done along the curve.
对我喜欢的曲线，计算其上的线积分，在这条线上所做的功。
So, one of them says the line integral for the work done by a vector field along a closed curve counterclockwise is equal to the double integral of a curl of a field over the enclosed region.
其中一种说明了，在向量场上，沿逆时针方向，向量做的功等于，平面区域上旋度F的二重积分。
And whether these line integrals or double integrals are representing work, flux, integral of a curve, whatever, the way that we actually compute them is the same.
不管是线积分或是二重积分，也不管它们表示的是功还是通量，计算它们的方法实际上是一样的。
What it says on each small flat piece — it says that the line integral along say, for example, this curve is equal to the flux of a curl through this tiny piece of surface.
它可以对任一个小平面使用-，比如说对于这条曲线的线积分，等于通过这个曲面的旋度通量。
The method of calculating integral temperature by measured flash temperature curve was put forward.
提出了利用动态热电偶测得的齿面闪温分布曲线计算齿面积分温度的方法。
Coordinates of a normal probability paper are calculated with a approximate formula of normal distribution integral curve and drawn on screen.
采用正态分布积分曲线的近似公式计算概率格纸的坐标，并在屏幕绘图。
When grey systematic theory at present set up GM (1 , 1 ), it assumes that fit curve passes the first point of modeling data to confirm the integral constant, thus obtained to forecast formula.
目前灰色系统理论在建立GM（1，1）模型时通常采用假定拟合曲线通过建模数据第一点来确定积分常数，从而得到预测公式的方法。
Similar formulae hold for a line integral of the second type taken over a space curve.
对于空间曲线上的第二类曲线积分也有类似的公式。
In this paper the theorem in which a curve integral is independent of the integral path on a single connected region is generalized.
本文把在单连通区域上成立的曲线积分与路线无关性定理推广到复连通区域。
The method of weakening integral when meeting limit is used in the common rail pressure PID control. The sampling cycle is obtained from the stepping curve, and many factors are considered.
在系统共轨管油压的控制中引入遇限制削弱积分法，采样周期是从试验测出的阶跃响应曲线获取的，并考虑诸多的影响因素。
This paper discusses Xia's achievements on the integral problem about quadratic curve, some of which were similar to modern elliptic integral and surpassed the level of Dai-wei-ji.
夏鸾翔是晚清较早研究微积分的中算家，据其《致曲术》、《万象一原》，可知他在二次曲线求积问题上得到了比较全面的成果，有的已超过《代微积拾级》，某些成果近似近代的椭圆积分。
We changed the curvilinear integral to surface integral in the thin ring around the curve so that the influence of the noise can be decreased.
提取外边界时采用环量积分算子，将环量线积分改进为微小圆环的面积分，克服了噪声影响。
The granularity distribution and average diameter of particles of red phosphorus smoke were tested and the integral curve of typical sample were given.
测试了红磷烟幕的粒度分布及平均直径，给出了典型样品的累积曲线。
On the base of these notions, the second mean valued theorems for the second type curve integral are proved.
本文探讨了对称性在第二类曲线积分和第二类曲面积分中的应用，给出了一些有用的结论，并举例说明。
According to the theorem of integral mean value it is proved in this paper that by means of probability integral the subsidence equivalent curve is a circle or a ellipse.
文中还根据积分中值定理证明了应用概率积分法求得的下沉等值线是椭圆形或圆形。
According to the theorem of integral mean value it is proved in this paper that by means of probability integral the subsidence equivalent curve is a circle or a ellipse.
文中还根据积分中值定理证明了应用概率积分法求得的下沉等值线是椭圆形或圆形。
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