椭圆曲线密码体制高速实现的关键是点的数乘与加法。

The center to the implementation of elliptic curve cryptosystems efficiently lies in the arithmetic of scalar multiplication and addition.

youdao

研究发现，很多青少年通过在网上获得多少公众的认可，通常是以点赞数，来衡量自己的地位。

It found many youngsters now measure their status by how much public approval they get online, often through "like".

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那么在某点时，这个会变成一个很小的数。

And then at some point, this becomes a really small number.

youdao

And when I do this test, what I want to do, is say I'm going to pick the middle spot, and depending on the test, if I know it's in the upper half, I'm going to set my start at the mid point and the end stays the same, if it's in the front half I'm going to keep the front the same and I'm going to change the endpoint.

如果我知道目标数可能，再比中值点大的区间里，我可能就会把开始点设为中值点,而尾点不变，如果在小的那个区间里,就保持开始点不变而把尾点设为中值点，你们可以看到这儿的代码,就是这么做的,对不对？它是怎么做的？

麻省理工公开课 - 计算机科学及编程导论课程节选

Initially, it's the beginning and the end of it.

然后根据中值点和目标数的比较结果。

麻省理工公开课 - 计算机科学及编程导论课程节选

Something I'll also point out as you see these dashed line that tell you where the individual molecular orbitals are arising from, as you get to higher and higher atomic numbers of molecules that you're making, it makes a lot more sense to look at a diagram when you draw these dotted lines in, because they can start to get a little bit confusing.

我要指出的是，你们看这些虚线,它们告诉你,每个分子轨道的起源是什么，当你的原子数,越来越高的时候，画出这些点线,使图更容易理解，因为现在开始变得有一点混乱了。

麻省理工公开课 - 化学原理课程节选