Local analysis is like looking at a small piece of a bigger picture. Imagine you have a big puzzle with lots of pieces, and you want to make sure each piece is put in the right place. So, you take one piece and look closely at it. You study the shape, the colors, the patterns, and you try to understand how it fits with the other pieces around it. This is called a local analysis because you are only looking at one piece at a time, instead of the whole puzzle.
Now, let's say you are a scientist studying cells in the human body. You might want to do a local analysis on one particular cell to understand how it works and what it does. You might look at the shape of the cell, its size, how it moves, and what it's made of. By studying the cell in detail, you can learn more about how cells work together in the body.
Overall, local analysis is a way of breaking down something complex into small and manageable parts so that we can better understand it. It can be applied to many different things, from puzzles to cells to complex systems like the economy or the environment.