A kid who knows to add an x-cubed term to a simple harmonic oscillator.

一个知道给简单谐振子加一个x立孩子。

And so let's look at some simple harmonic motion.

我们来看看一些简单谐振运动。

In a very simple system, like a one-dimensional simple harmonic oscillator, like a pendulum, think about understanding the whole universe without understanding the initial conditions.

在一个非常简单系统中， 比如一维简谐振子，像钟摆那样， 试想在不了解初始条件情况下试图理解整个宇。

But by changing the crystal's geometry and placing electrodes on the top and bottom, we get a crystal with a faster resonant frequency.

但通过改变晶体几何结构， 并在顶部和底部放置电极，我们以获得一个具有更快谐振频率晶体。

This term, square root of k divided by m, has a special name, it's called the resonant frequency for our simple harmonic oscillator.

这个术语， k除以m根，有一个特殊名称， 它被称为我们简谐振子共振频率。

A ring resonator device, which is a circular wire of silicon, is a light trapper that enhances chemical fingerprinting.

环形谐振器装置是一种圆形硅线，是一种增强化学指纹识别光捕获器。

If you touch a resonating wire, you can convince yourself you're feeling the universe coming into being.

如果你触摸到一根谐振线， 你以说服自己， 你正在感受宇形成。

And so with both of these forms of simple harmonic motion you should be able to identify the position of the object at any time, its relative velocity and acceleration.

因此，在这两种形式简单谐振运动中，你应该能够确定物体在任意时刻位置、相对速度和加速度。

He called this technology metamaterials and developed his most famous example: a split ring resonator— a metamaterial structure which allowed him to bend light past the theorized limit.

他称这种术为超材料，并研制出了最著名例子：分环谐振器——一种超材料结构，使他能够弯曲光线，超越理论上极限。

And again, this crystal is placed in a feedback loop of its own to produce a stable resonant frequency.

而且，这个石英晶体被放置在其自身反馈回路中，以产生稳定谐振频率。

You cannot truly explain the light separation until you get down to the driven harmonic oscillator.

你无法真正解释光分离，直到你深入到受驱简谐振子层面。

Did you learn to predict which properties affect harmonic motion?

你学会预测哪些属性会影响谐振运动了吗？

And so if you have an object moving towards equilibrium based on restoring forces we call that simple harmonic motion.

如果一个物体在恢复力作用下向衡位置移动，我们就称这种运动为简单谐振运动。

And so what we are going to get is this simple harmonic motion.

所以我们将会得到这种简单谐振运动。

And so what we get is this simple harmonic motion.

所以我们得到就是这种简单谐振运动。

That if you increase mass you are going to make a longer period for that harmonic motion.

如果你增加质量，谐振运动周期就会变长。

Now an important characteristic with each of these is the period of that harmonic motion.

现在，这些每个特征中一个重要是谐振运动周期。