OK, so there's the line integral.
这就是线积分了。
This side here is a usual line integral.
这边是普通的线积分。
Line integral is lightsome and flexible.
线整体轻盈而柔韧。
And we will evaluate the line integral for work.
为了求做功，我们要计算线积分。
We say that the line integral is path independent.
我们称之为线积分与积分路径无关。
Well, we cannot really think of flux as a line integral.
那就无法把通量想成线积分了。
The line integral was actually the work done by the force.
线积分的意义，就是这力所做的功。
In the variational equation, there is only line integral.
在变分方程中，只存在线积分，没有面积分。
And so it will be a surface integral, not a line integral anymore.
所以要用面积分，而非线积分。
What is flux? Well, flux is actually another kind of line integral.
通量是什么？，通量其实是又一种线积分。
And then I add these together. That is what the line integral means.
把这些加到一起，这就是线积分了。
On the math it is a line integral of something dx plus something dy.
从数学意义上来说，这是dx部分加上dy部分的线积分。
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。
Soft line, apply palely, romantic integral feeling is the keyword that nowadays female home installs.
柔和的线条，淡色的运用，浪漫的整体感觉都是时下女性家装的要害词。
This program is integral line drawing algorithm.
本程序实现的是整数画线算法。- Bresenhman。
This program is integral line drawing algorithm.
本程序实现的是整数画线算法。- Bresenhman。
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