With continuation of temperature cycling there is a reversible change of the shape(along curve 2) with a very small hysteresis.
在随后的温度循环中，其形状的变化是可逆的（沿曲线2），滞后效果很小。
The British assumed that carrying in sea level would extend an imaginary line from the shore along Earth's curve to a point beneath the Himalaya.
英国人认为，如果提升海平面，会将假想的线从沿地球曲线的海岸延伸到喜马拉雅山下方的某个点。
Then I go clockwise along the inside curve, then back along the slit.
再顺时针沿着里面的曲线走，又回到这个裂口。
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？
Plotting a single project along this curve can also help organizations understand how risk changes during project execution — as project characteristics undergo change during the delivery lifecycle.
沿着该曲线绘制单个项目也可以帮助组织了解，在项目执行过程中风险是如何变更的——因为项目体征在交付生命周期中经历变更。
In general, events along a closed timelike curve cannot be compatible with an uninterrupted increase of entropy along the curve.
通常，沿着一个封闭的时间型曲线发生的事件不可能与沿着这个曲线不间断地增加的一致性相符合。
That is our convention to get a unit normal vector that points to the right of the curve as we move along the curve.
这是约定的得到单位法向量的方法，这种做法使得，当沿着曲线行进时，法向量始终指向右手方向。
That is all pretty good.Let me tell you now what if I have to compute flux along a closed curve and I don't want to compute it.
很好，如果我们想做这样的一件事，我需要计算沿着一条闭曲线的通量，但又不想去计算。
So then, in a practical way, it's possible to walk quite far along the distillation, the coexistence curve, and distill to really a high degree of purification.
如此反复，实际过程中，可以沿着，共存曲线蒸馏很久，然后提纯到一个很高的纯度。
I was hiking along a trail in the Silver Falls State Park in Oregon with my soon to be boyfriend and as we rounded a curve, a breathtaking vista complete with a roaring waterfall came into view.
我和不久之后将会成为我的男朋友的人一起在俄勒冈州的银色瀑布州立公园远足，当我们走过一片峭壁，让人呼吸几乎凝结的美景跃然出现在我们眼前，飞流直下三千尺，疑是银河落九天。
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。
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。
Actually, maybe you want to say that the arc length increases and then decreases along the curve.
也许你会说，弧长在曲线上增长了，又减少了。
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, as agricultural output moves out along a rising supply curve, agricultural prices may continue to rise steeply for many years, with, eventually, calamitous consequences in poor countries.
因此，当农业产量随着供给曲线不断攀升时，农产品价格也会持续性地迅速增长，最终给贫困国家带来灾难性的后果。
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。
On the contrary, not conservative means 0 somewhere there is a curve along which the work is not zero.
相反，不保守就意味着,某个地方，沿闭合曲线所做的功不是。
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 when I am on the curve I am on the boundary of the surface, so there is a direction along the surface that is the curve and the other one is pointing into the surface.
当我在曲线上时，我是在曲面的边上的，所以一个是沿着曲面的边指，那个就是曲线的定向，另外一个就要指向曲面里面的那个方向。
And so, if I go counterclockwise around this region, basically I go counterclockwise along the outer curve.
如果沿着区域边界逆时针走，基本上，是逆时针沿着外面的曲线走。
I want my thumb to go along the curve so that is kind of towardS the right.
要让大拇指沿着曲线指，所以看上去差不多就是向右边。
If an enterprise wants to stay competitive, it must engage in projects along all three portions of the curve.
如果企业想要保持其竞争地位，它必须沿着曲线的三个部分经营其项目。
Flux, on the other hand, measures, when I go along the curve, roughly how much the field is going to across the curve.
从另一方面来看，“通量”度量的是，沿着曲线前进时，大致会有多少向量场通过曲线。
Once you start moving along such a curve, you are required to come back to precisely the point at which you started.
一旦你开始沿着这样的曲线移动，你就需要精确地回到你起始的地方。
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。
You only take it along the curve.
只是沿着曲线移动。
What we will do is just, at every point along the curve, the dot product between the vector field and the normal vector.
我们要做的是，沿着曲线的每一点上，取向量场和法向量的点积。
And, we want to find the work done along the curve.
我们想找出沿一条曲线所做的功。
So if China really is extending its purchases along the curve, that suggests it is less worried than it says about Uncle Sam's debt levels spiralling out of control.
所以如果中国真地是在增持更长期限的美国国债，这说明它对美国债务水平失控的担忧，并不像它说的那样严重。
So if China really is extending its purchases along the curve, that suggests it is less worried than it says about Uncle Sam's debt levels spiralling out of control.
所以如果中国真地是在增持更长期限的美国国债，这说明它对美国债务水平失控的担忧，并不像它说的那样严重。
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