Okay, so do you know what a function is? A function is like a machine that takes in a number and gives you back another number. For example, if you put in the number 2 into the function "add 3," the function will give you back the number 5.
Now, a singularity function is a special kind of function that looks like two lines that meet at one point. It's called a singularity function because that one point where the two lines meet is called a singularity.
Imagine you're standing on a road that's perfectly flat, and suddenly there's a big bump in the road. That bump is like a singularity. If you were driving a car over it, you would feel a big jolt.
In math, we use singularity functions to describe things that might have a sudden change or jolt, just like that bump in the road. It can be helpful to use singularity functions when we're trying to model things like earthquakes or sudden changes in temperature.
So that's what a singularity function is! It's a special type of function that has a point where two lines meet, and it helps us describe sudden changes or jolts in things.