Basis function

Okay kiddo, let's talk about basis functions. So, imagine we have a basket of building blocks, each with a different shape, like circles, squares, and triangles. Now, let's say we want to build a big toy castle using only these blocks.

To do this, we need to figure out how to fit the blocks together so they make the right shape. We can think of each block as a basis function. Each block has a different shape and can be combined with other blocks to create a variety of shapes.

In math, basis functions work the same way. They are like building blocks that can be used to build more complex functions. Just like we can combine blocks to create a castle, we can combine basis functions to create more complex functions.

For example, let's say we have a basis function that looks like a straight line. We can use this function to create other functions that have a straight line in them. We might add another basis function that looks like a curve, and when we put it together with the straight line, we get a more complex function.

Overall, basis functions are like building blocks that help us create more complex mathematical functions. They allow us to break down complicated problems into simpler pieces that we can work with.