ELI5: Explain Like I'm 5

Markushevich basis

Okay kiddo, let me explain what Markushevich basis is in a simple way.

Imagine you want to draw a picture of a house, but you don't know how to start. You need to draw some lines to create the walls, doors, and windows, right? The same goes for mathematics. When we want to solve a problem or understand a concept, we need some basic tools called vectors to help us.

Now, the Markushevich basis is a special set of vectors that help us understand complex functions. These vectors are created by taking the derivative of the function and applying it to a complex number.

But why do we need these special vectors? Well, they can help us to simplify complex functions and make them easier to work with. We can write any complex function as a combination of these vectors and work with each vector separately.

Think of the Markushevich basis as a set of building blocks that we use to create a big and complex structure. Each block represents a small part of the structure, and we can change and manipulate them as we need.

So, in summary, Markushevich basis is a set of special vectors that help us simplify complex functions by breaking them down into smaller pieces that we can work with.