Spectral measure
Ok kiddo, let's imagine you have a really cool flashlight that can shine light of different colors. Now, imagine turning on your flashlight and shining it on a wall. The light that reflects back off the wall will have all the different colors you shone on it.
Now, let's say we have a special type of flashlight that can shine an infinite amount of colors (this is called a spectrum). When we shine this special flashlight on a wall, we will get an infinite amount of colors reflected back at us.
In math, we can use something called a spectral measure to describe these different colors. It's like a way to measure and keep track of all the different colors we see when we shine our infinite-color flashlight.
This is really helpful when we are studying things like sound waves or light waves, because they are made up of different colors too (these are called frequencies).
So think of a spectral measure like a way to measure and keep track of all the different colors (or frequencies) that make up a bigger thing, like a sound or light wave.
Now, let's say we have a special type of flashlight that can shine an infinite amount of colors (this is called a spectrum). When we shine this special flashlight on a wall, we will get an infinite amount of colors reflected back at us.
In math, we can use something called a spectral measure to describe these different colors. It's like a way to measure and keep track of all the different colors we see when we shine our infinite-color flashlight.
This is really helpful when we are studying things like sound waves or light waves, because they are made up of different colors too (these are called frequencies).
So think of a spectral measure like a way to measure and keep track of all the different colors (or frequencies) that make up a bigger thing, like a sound or light wave.
Related topics others have asked about: