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。
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。
In the line integral in the plane, you had two variables that you reduced to one by figuring out what the curve was.
在平面上的线积分中，有两个变量，可以通过了解曲线的形成规律，从而去掉一个变量。
How do I compute the line integral along the curve that goes all around here?
应该怎样沿着围绕这个区域的曲线，做线积分呢？
If we have a closed curve then the line integral for work is just zero.
如果给定一条封闭曲线，那么求所做功的线积分为零。
And so I want to compute for the line integral along that curve.
那我想计算那条曲线上的线积分。
And, I still want to compute the line integral along a closed curve.
但仍然想要沿着封闭曲线的线积分计算。
If it is a closed curve, we should be able to replace it by a double integral.
如果是一条闭曲线，也可以用二重积分来代替的。
OK, so if I give you a curve that's not closed, and I tell you, well, compute the line integral, then you have to do it by hand.
如果给你们一条非封闭曲线，然后让你们计算线积分，你们必须动手一点点来计算。
If you cannot parameterize the curve then it is really, really hard to evaluate the line integral.
如果无法对曲线参数化，那么就很难计算线积分了。
We have a line integral along a curve.
对于沿曲线的线积分。
To remind ourselves that we are doing it along a closed curve, very often we put just a circle for the integral to tell us this is a curve that closes on itself.
为了提醒我们是在封闭曲线上做积分，经常在积分符号上加个圆圈，告诉我们，这条曲线自我封闭。
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。
So, in both cases, we need the vector field to be defined not only, I mean, the left hand side makes sense if a vector field is just defined on the curve because it's just a line integral on c.
了解这两种表述后，我们不仅需要向量场，就是左边这里，这是曲线c上的线积分，向量场在曲线上有定义。
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。
P1 If we have a curve c, from a point p0 to a point p1 then the line integral for work depends only on the end points and not on the actual path we chose.
如果曲线c，起点为P0，终点为1，那么计算所做功的线积分，只与端点位置有关，而与我们选择的路径无关。
So, to say that a vector field with conservative means 0 that the line integral is zero along any closed curve.
一个保守的向量场就是说,沿任意闭曲线的线积分的结果是。
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。
Well, let's say I give you a curve and I ask you to compute this integral.
给出一条曲线，计算沿着这条曲线的积分。
What if she winds up with a toddler who doesn't know if he should use an integral or a differential to solve the area under a curve?
如果她最好发现那小不点连曲线下面积该用积分还是微分算都不知道她会怎么想？
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。
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。
MARC. Jetta car's connecting rod was analyzed. Through analysis, the curve between J integral and splitting force was established.
MARC软件对捷达轿车连杆起裂过程进行了数值分析，得出了裂解力与J积分的关系曲线。
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。
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。
And it also points out the mistakes in some Higher Mathematics Reference Books concerning indefinite integral, double integral and curve integral calculations.
同时还指出了几本高等数学参考书中关于不定积分、二重积分、曲线积分计算中出现的错误。
We can estimate the (integral)area under curve by summing small rectangles.
我们可以通过小长方形来估算积分。
It gives a relationship between a surface integral over an oriented surface and a line integral along a simple closed curve.
它建立了有向曲面上的曲面积分与它的边界曲线积分的关系。
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