But let me go back to these sines, cosines and logarithms.

但让我们再来说说正弦、弦和对数函数。

And compute over 10,000 calculations by cosine, square root and lately Analytic Geometry.

还要完成上万笔计算弦，平方根，最近还用起了解析几何。

You know, cosine is adjacent over hypotenuse.

你们知道 cos是邻边除以斜边。

So the factor by which the slice gets squished down in this direction is exactly cosine of theta.

因此，切片 在这个方向上被压扁的因素正是 theta 的弦。

That's the cosine of 30 degrees.

这是cos30度。

So, for example, I don't think that being a math person means that you can recite the formulas between the sines, cosines, tangents and to use logarithms and exponentials interchangeably.

所以，比如，我认为成为数学家是指你要能背诵正弦、弦、正切的函数公式和转化运用对数和指数。

So the cosine of 30 degrees is equal to-- This over T1 one is equal to the x component over T1.

所以cos30度等於如果你们两边乘以T1 就得到这个。

And very similarly, this is 60 degrees, so this would be T2 cosine of 60.

非常简单 这是60度现在 关於这两个力 我们知道什麽？

And that's why it's cosine of theta.

因此 两者相等。

98 times the cosine of 30 degrees newtons.

98乘以 cos 30度牛顿。

What's the cosine of 30 degrees?

cos30度是多少？

And the answer to the equation would have been cosine x, like COS x.

这个方程的答案是弦x，即COS x。

There are others, sine, cosine, add, subtract.

还有其他的，如正弦、弦、加法、减法。

When the AI has a need, its query gets turned into a vector too, and the system finds the tools whose vectors are closest in meaning space, typically using cosine similarity.

当人工智能有需求时，它的查询也会被转换为向量，系统会找到语义空间中向量最接近的工具，通常使用弦相似度进行计算。

Well, essentially, the discrete cosine transform and quantization steps go through each section of the image and find areas that have a high frequency of alternating prominence or luminance.

基本上，离散弦变换和量化步骤会对图像的每个部分进行，找出那些亮度交替变化频率较高的区域。

It's typically associated with thinking both quickly and abstractly, like teasing out the logic of a puzzle, rather than remembering how to find the cosine of an angle.

它通常与快速和抽象的思考有关，比如梳出谜题的逻辑， 而是记住如何找到角度的弦值。

Like if this amazing person is like giving me the cosine, then maybe other people like see that in me too at some point.

比如如果这个超棒的人对我有点意思，那么也许其他人以后也会发现我的好。

For cosine, they add to four and then repeat the process for two hertz, three hertz, and so on, up to seven hertz.

对于弦，他们将其加到四，然后对二赫兹、三赫兹等重复该过程，直至七赫兹。

Like I said earlier, what you get is no longer a nice, pure cosine wave; it's something a little more complicated.

就像我之前说的， 你现在得到的已经再是简单纯粹的弦波了；它变得稍微复杂了一些。

How is knowing cosines gonna help you with your backstroke?

学会弦对仰泳有什么帮助？