4 ms·

> Now, a vector really is just an arbitrary function Not really grokking this. Seems to come out of nowhere.

• xcv123 3y ago
  In mathematics, a function is a mapping from input values to output values. A vector is a mapping from a set of integers to a value at the specified index, therefore it is a function. e.g. float vector[4]{1.0, 5.0, 3.0, 2.5}; vector[0] == 1.0; vector[1] == 5.0; vector[2] == 3.0; vector[3] == 2.5;
  • tantalor 3y ago
    Thanks, I think I was thrown by the word "arbitrary". "A vector is a function" makes much more sense to me.
    • xcv123 3y ago
      Yep. "Arbitrary" as in it can represent any function you want on the natural numbers (0 to infinity).
• drtgh 3y ago
  try to look at it as a kind of format were you are storing equations (by the moment) You process the operations between such equations -sum, inner, outer- by "unpacking" them into Matrix equations format (populating the Matrix with the vector values), doing the operations, and returning back to the vector format. So in essence you are working with Matrix equations, but with a more compact format as vector. For being able to work with such equations' compact format, its needed to follow some rules restricted to the purpose, case contrary, as in reality they are vectors per se, the geometries could mix dimensions were the equations' proprieties are different.