My surface is given by the graph of a function.

我们的曲面是由一个函数图像给出的。

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And, I have the graph of my function — and I'm asking myself how quickly does the value change when I move on the graph in that direction?

有这样的函数图像-，当沿着图像上的这个方向变化时，试问函数值变化的有多快？

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One way to think about it, if you're really still attached to the idea of double integral as a volume what this measures is the volume below the graph of a function one.

一种考虑这个问题的办法是，如果你还觉得，二重积分是求体积的话，那这个度量的，就是函数1的图形下的体积。

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We can graph out what this is where we're graphing the radial probability density as a function of the radius.

我们可以，画出它来,这是径向概率密度,作为半径的一个函数图。

麻省理工公开课 - 化学原理课程节选

So, the example that we took on Monday and that we ended with when we ended class, was looking at the 1 s orbital for hydrogen atom, and what we could do is we could graph the radial probability as a function of radius here.

周一我们,最后讲到了，粒子是氢原子１ｓ轨道，我们可以画出,这幅径向概率分布曲线。

麻省理工公开课 - 化学原理课程节选

So again, if we think of a graph of the wave function, we had the wave function is at its highest amplitude when it's lined up with the nucleus, and then as we got further away from the nucleus, the amplitude of the wave function ends up tapering off until it never hits zero exactly, but it goes down very low.

同样，如果我们想象一幅波函数的图，波函数在原子核的位置上,有着最高的振幅，随着与原子核距离变远，波函数振幅逐渐变小直到,它永远不会到零，但它会变得很小。

麻省理工公开课 - 化学原理课程节选

Which gets me back to my original point: If you are doing a good job building and maintaining your following on Facebook, and you keep the interesting content flowing, the expansion of the Graph Search function should naturally start to present your business when the search keywords and phrases apply to what you sell.

FORBES: Facebook Graph Search: Big News For Small Business? Not Just Yet.

Quantum annealing is a mathematical operation where the extreme points of a function (the maxima and minma of a graph, for example) are determined from a given set of discrete candidate solutions.

FORBES: D-Wave Announces Commercially Available Quantum Computer