Is it correct to determine the values ​​of the vector using the system?

Question

Mathematics

I am writing a paper for the university. It is necessary to describe the vectors with which the algorithm will work. I didn’t take linear algebra in the 1st year, because I still didn’t quite understand what it was and why I might need it. In fact, I got all the knowledge already working with the algorithms of interest to me related to machine learning. Interested in the question, how correct is such a record of the conditions for the formation of the vector?
Note:

It is assumed that there can be any vector like (0) or (0,0,0,1,1,1,1) and so on ad infinitum.

Answer 1

It looks correct to me. And the elements of the vector are denoted everywhere as v[n]? Or is there v_n and v[n]? By the way, what you want to say with this notation is called the Heaviside function, and in your case v[n] = H(n/2 - 2) can be written (well, or instead of H there can be another commonly used notation for this function).