A learning progress curve is steep when very little effort is required, as further discussed in the main article.
当需要付出的努力很少时，学习进程曲线是陡的，正如在那篇文章里讨论的那样。
The first is that if you think it through, it implies that the overall demand curve for a nation’s products is vertical or even upward-sloping.
第一是若你仔细去看，它背后说的是一国之产品的总需求曲线是垂直的甚至是向上倾斜的。
The core of this model is a function called a stretched exponential relaxation, which is similar to the decay curve of a radioactive material.
这个模型的核心是延伸型指数函数的松弛效应，就像放射性物质的衰变曲线一样。
You know it's automatically OK because if you have a closed curve, then the vector field is, I mean, if a vector field is defined on the curve it will also be defined inside.
它必然成立，因为如果给出一条闭合曲线，然后向量空间是…，我是指，向量空间在曲线上有定义，当然在区域内部也有定义。
What is striking about the global cost-abatement curve is what a bargain it seems to be to lower emissions by protecting rainforests.
这个全球减排成本曲线突出的地方在于，它显示了通过保护热带雨林来减少温室气体排放可获得的回报。
Above an HDI of 0.9 or so, it turned up, producing what is known in the jargon as a "J-shaped" curve (even though it is the mirror image of a letter j).
HDI高于0.9，线形图呈现行话所谓的“J形曲线”(实际显现的是镜像的字母J)。
So, if you wanted to know how long; an arch of cycloid is, you have this nice-looking curve; how long is it?
如果你想知道一个摆线有多长，这是一条很漂亮的曲线，这有多长？
What I do at any point is project F to the tangent direction, I figure out how much F is going along my curve and then I sum these things together.
我所做的就是把F投影到切向量方向上，得出F沿着曲线的值,然后再把这些加起来。
A tangent is a straight line that just touches a curve, so the concept of "running the tangents" is to run the shortest distance possible by running straight from one curve to the next.
切线是一条直线，刚好接触到曲线，所以跑切线是从一个弯道跑到另一个最短的距离。
And, in some cases, for example, if you know that the vector field is tangent to the curve or if a dot product is constant or things like that then that might actually give you a very easy answer.
例如，在某些情况下，如果已知向量场与曲线相切，或者内积是一个常数等等，那么结果将会很简单。
Well, what happens over time is the fluid is moving while my curve is staying the same place so it corresponds to something like this.
随着时间的推移，流体会发生运动，曲线保持不动的话，情况就像是这样子了。
It is true actually for any closed curve that the flux out of it is going to be twice the area of the region inside.
实际上这对任何闭曲线都适用，向外的通量还是面积的两倍。
Now I am going to use this information in order to give you a curve which is similar to that one -- except this is a simple one-- this is just a parabola.
现在我要用用这些推出的信息,来做另一边,类似的曲线,不过这个很简单-,只是一条抛物线。
so what I've done is I effectively went along this curve, and if I take them off, if it is an ideal spring, then it goes back to its original length, which it does.
,目前为止我所做的,都是沿着这曲线，如果把它们都拿掉，如果这是理想型弹簧，它就会回到初始长度，它是这样表现的。
That learning curve is not steep, though, and the easiest way to learn is by writing and testing forms directly inside a Web browser.
但学习曲线也不是很陡，最简单的办法就是直接在Web浏览器中编写和测试表单。
As Bloomberg's Caroline Baum wrote in January: "The demand curve is downward sloping." What that means is demand for any good or service isn't fixed.
布隆·伯格的Caroline Baum在一月份写到，“需求曲线倾斜向下，意味着任何商品或服务的需求都是不固定的，它依赖于价格。”
However, Shanghai is keen to grab a bigger piece of the action, and it's on a fast learning curve. With the quickening of RMB reforms, Shanghai is also scrambling to devise new RMB backflow methods.
不过，上海正在积极行动争夺更大机会，并在学习曲线上快速移动。
In this example, if we say that this is the male curve and this is the female curve.
在图中，这条代表男性(视频中的深色曲线)，这条代表女性。
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。
The graph above shows that it is possible for someone with less luck to become successful faster than someone with more luck since the red curve is always above the blue curve.
下图是一个简单的示意图，这个图里面，红色的曲线对应的人和蓝色曲线对应的人相比，红线人的运气值是蓝线人的一半，但努力程度是其三倍。这个图中，红线是一直高于蓝线的，这表明了，有的人可能运气不是很好，但是通过非常刻苦的努力尝试，可能最后比那种经常撞大运的人更加成功。
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。
The learning curve: learning Chinese is difficult, and after we’ve completed the arduous process, we come to feel like we’ve earned it, and this place is ours.
学习的挫折：学习中文是很困难的一件事，而在我们完成了这个艰难的过程后，我们觉得这是我们应得的，这个地方是我们的。
It is a learning curve. This is something you learn to do over time increasingly effectively.
这是一个学习曲线，可以说你学习的东西随着时间的推移会越来越有效。
Both of these formulas basically relate work on a curve with what happens to the curl on the surface that is enclosed by this curve, that is bounded by this curve.
基本上，这两个公式把沿曲线的功，和被曲线包围的曲面上的旋度，联系起来了，曲面是以该曲线为边界的。
This convergence is a huge benefit because it means that the learning curve is easily transferred from one AOP approach to another.
这种聚合有很大的好处，因为这意味着学习曲线很容易从一项AOP技术转移到另外一项AOP技术。
The exact shape of the curve is subject to discussion, but the point of diminishing marginal utility is that, as you get more and more money, the increment in utility for each extra dollar diminishes.
这条曲线的确切形状还有待讨论,但是边际效用递减规律的重点在于,你得到的钱越多,每额外的一美元的增长效用会相对减小
There is a point in the load curve where response time degradation is directly due to the number of requests the application is processing.
负载曲线中有一点表示响应时间的增加的直接原因是应用程序处理的请求的数量。
By presenting different interfaces for the different nodes, the uniformity and elegance of the model is diminished, and the learning curve is increased.
由于为不同的节点提供了不同的接口，模型的一致性和精致性被破坏，并且“学习曲线”也延长了。
The percentage strain is actually extremely low in the portion that the curve is linear.
百分比拉力事实上，在线性曲线的部分，非常的低。
Today the market is moving up the curve but is still mostly stuck at explicit navigation rules with a little more complex navigation.
当前，市场的曲线正处于上升的阶段，但大多数公司仍然会坚持明确的指导规则，其中带有少许更加复杂的指导。
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