Smooth morphism

Okay kiddo, imagine you have two shapes, let's say a circle and a square, and you want to transform the circle into the square. Now, this transformation can be done smoothly or not smoothly.

A smooth transformation means that we can get from the circle to the square in a way that is gentle and gradual, without any sudden jumps. So, every point on the circle moves smoothly and continuously to its corresponding point on the square.

This is exactly what a smooth morphism is like. It's a mathematical term used to describe a function that maps one shape into another shape in a way that is continuous and gradual without any sudden jumps or breaks.

So, think of it as a way of transforming one shape into another shape in a very nice and friendly way that doesn't disrupt their natural, well, smoothness.