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

但让我们再来说说正弦、余弦和对数函数。

I actually write it with these little ridges in it, so SOH... CAH... TOA.

我写时候会写成这种三角形状，这是正弦，余弦，正切。

And that motion is mathematically identical to the motion of something bouncing up and down on a spring with a linear restoring force - also sine waves over time.

这种运动在数学和一个物体在弹簧以线性恢复力（随时间正弦波）下弹跳运动是一样。

I'm just about working with our natural ebb and flow of energy and working with our natural ebb and flow of interest almost like a sine wave.

我只是说要顺其自然，顺从我们兴趣波澜，就像正弦波一样。

He'd watch the broken sine wave of the telephone lines, looping on and on and on for miles, then veering away, then rejoining the bus's path.

他会观察电话线发出断断续续正弦波，起起伏伏，绵延数英里，转向别处，然后又重回公交车路线。

Over the course of a year, the amount of daylight you experience on a given day oscillates in what's basically a sine wave.

在一年中，你在某一天经历日照时间基本是一个正弦波振荡。

The force required to lift is reduced by the sine of the angle of the stairs, call it 30 degrees, so, about half.

运去所需力度按梯角正弦值减少，30度角话就减少一半力气。

I get it! Sin is opposite hypotenuse... Yes.

我懂了，正弦是对边比斜边。是。

So we generate this swept sine wave and we use that to capture the acoustic of the cave.

我们生成这个正弦扫频信号，然后利用它来测定洞穴声音特性。

We draw them as sine waves, as if something's going back and forth or up and down.

我们把它们画成正弦波，就好像有东西在前后或下运动。

But that sine wave is just gonna be a tremendous load on all the health care providers.

但这个正弦波对所有医务工作者来说都是巨大工作量。

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，我认为成为数学家不是指你要能背诵正弦、余弦、正切函数公式和转运用对数和指数。

So each of the x sine in the sample.

所以样本中每个x正弦。

I'm gonna use sine of theta, oh sorry, sine of phi.

我要使用正弦 theta， 哦抱歉，正弦 phi。

So, sine x over x function, sinc function.

所以，正弦x除以x函数，sinc函数。

I thought the x-direction used  cosine and the y-direction used sine?

我以为 x 方向使用余弦而 y 方向使用正弦？

It's going to be some pure tones, which is like a sine wave.

测试将使用纯音，类似于正弦波。

Okay, so what this shows us is that the moon affects the magnetic field in this sinusoidal pattern that is similar to the way that the moon seems to affect our sleep.

所以，这表明月亮以一种类似影响我们睡眠方式，以正弦波模式影响着磁场。

Instead, every 90 seconds, you'd hear this one donk noise, or as the authors would more scientifically call it, a single simple sine wave oscillating every 90 seconds.

相反，每90秒你就会听到一次“咚”声音，或者用作者更科学说法，就是每90秒出现一次单一简单正弦波振荡。

For example, a Tipler sinusoid refers to a theoretical type of time travel that was proposed in the 70s by a physicist named Frank Tipler.

例如，“提普勒正弦波”指是20世纪70年代由物理学家弗兰克·提普勒提出一种理论性时间旅行方式。