ELI5: Explain Like I'm 5

Puiseux expansion

Okay kiddo, imagine you have a really complicated math problem and you don't know how to solve it. But instead of giving up, you use a special trick called a puiseux expansion to make the problem easier to understand.

A puiseux expansion is like taking a big number and breaking it down into smaller parts that are easier to work with. It's like taking a cake and cutting it into pieces instead of trying to eat the whole thing in one bite.

When we use a puiseux expansion, we take a complicated function (like a polynomial) and break it down into simpler pieces (like smaller polynomials or fractions). This makes it easier to understand and work with the function.

Think of it like a puzzle. If the puzzle is too big and complicated, we break it down into smaller pieces and solve them one by one. Eventually, we put all the pieces together and the puzzle is complete!

So, a puiseux expansion helps us solve complicated math problems by breaking them down into smaller parts that are easier to understand and work with. It's like cutting a cake into pieces or solving a puzzle one piece at a time.
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