R平方
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你知道球体的表面区域,是4pi,r平方,因此你能计算,每平方米多少,抵达地球。
You know that the surface area of this sphere is four pi r squared , and so you can calculate how much for every square meter reaches the Earth .
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,力,重力,随着r的平方而减少。
The force , gravitational force , falls off as one over r squared .
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我们得到结论-,重力加速度,随r的平方而减少。
We came exactly to that conclusion & that the gravitational acceleration falls off as one over r squared .
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因此你看到,我承受的重力加速度,距离地球不同远近,距离太阳的不同距离,和r的平方成反比。
And so you see that the gravitational acceleration that I experience at different distances at different distances from the sun , is inversely proportional with r squared .
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用这个方程,对于s轨道,径向概率分布,4πr的平方,乘以波函数的平方,这很容易理解。
So , we can do that by using this equation , which is for s orbitals is going to be equal to dr4 pi r squared times the wave function squared , d r.
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如果你们数的话,原子核的数是,我们用它乘以πr的平方,得到横截面积,除以1。
So , the number of nuclei , 119 if we were to sit and count these as well , is119 . So , we 'll multiply that by just pi , r squared , to get that cross-section , and divide all of that by1 .
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这两个力相同,除了,我的力沿着这个方向-,这是r的增长方向-,所以我的力是,除以r的平方,如果我在这个位置。
The two are identical except that-mine is in this direction this is increasing value of r + mMG so mine would be plus m MG divided by r squared if I 'm here at location r.