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How to define a mapping from R^n to R

조회 수: 14 (최근 30일)
Ajai Singh
Ajai Singh 2022년 11월 23일
편집: Gowtham 2023년 9월 27일
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.

답변 (1개)

Gowtham
Gowtham 2023년 8월 29일
편집: Gowtham 2023년 9월 27일
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:

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