How to define a mapping from R^n to R

Question

Ajai Singh 2022-11-23

编辑： Gowtham 2023-9-27

Hello everyone,

I am trying to define a mapping from R^n to R referred to as basis function in the picture attached.

I have to no idea how to proceed.

Any suggestions would be really helpful.

Thank you.

Answer 1

Gowtham 2023-8-29

编辑：Gowtham 2023-9-27

Hi Ajai,

I understand that you are given psi(y, u) in the

space and want to map it to R space.

Assuming psi(y, u) is a column vector of size n, one way to map is by using dot product with a weight vector and performing sum on the result.

Example:

psi = [1; 2; 3];
weight = [2; 1; 2];
result = sum(weight .* psi);
result
result = 10

The above logic can be implemented in a function which maps

. I hope it helps!

References: