3 ms·

Only functions on a finite domain are vectors. Functions on a countable domain are sequences.

• ttoinou 1y ago
  Why is this being downvoted ? Could a downvoter elaborate ?
  • teiferer 1y ago
    Because it makes little sense. Vector spaces can have infinite dimension, so the "only" in the first sentence does not belong there. The second sentence is also odd. How do you define "sequence"? Are there no finite sequences?
    • ttoinou 1y ago
      I think it is "vector" taken in the way the author wrote about it / showed illustrations in the article. For the second sentence, he's right, we could also write (wrongly) an article titled "Functions are Sequences" and (try to) apply what we know about dealing with countable sequences to functions
    • nh23423fefe 1y ago
      sequence is typically defined as a function from N -> A, thus countable domain