Set comparison algorithm?

Question

Mathematics

How can you compare 2 sets to find out how similar or different they are?

Let's take a sound wave as an example, this is the same set, where the time is on the horizontal axis (the first value), on the vertical is the burst force (the second value). For example:

1-2
2-9
3-6
4-3
5-1

Suppose we have 2 or more such sets in each of which are not 5 but 100 elements. How to compare them and find similar ones?

Answer 1

Let the values ​​are given in a certain order (from the example): 2,9,6,3,1
Let the maximum possible value of one indicator: 9
Then:
The total indicator of one graph: S=10^4*2+10^3*9 +10^2*6+10^1*3+10^0*1
Then, we calculate the same sums for all graphs and find the smallest difference between all pairs.

Answer 2

First, a sound wave is not a set, but a function.
Secondly, the sound is not compared in the forehead. It needs to be converted from amplitude to frequency form (google for the words fast fourier transform) and compare sonograms.