1

I'm looking for an adjective that means "to start from the number one."

This is so I can describe a sequence that starts from the number one. I want to be able to say something like "Choose any [adj] sequence" where [adj] is the adjective in this question.

I know there aren't always words that exist for every combination of words, but can anyone think of a word that might work for this?

5
  • At first I thought of a "positive" sequence of integers, but that doesn't necessarily start at 1. Do you mean in particular the sequences (1, 2, 3 ... n) where n is a positive integer? Or any old sequence that starts with 1? (In which latter case (1, -1, -3 ...) is valid.)
    – Adam Brown
    Jan 26, 2014 at 2:19
  • I'm using the mathematical definition of a sequence so (1, 2, 3, ..., n) where n is a positive integer, (1, 3, 4), and (1, -2, -5) are all valid.
    – Patrick
    Jan 26, 2014 at 3:14
  • In that case, I might say "starts with the number one" instead of "from the number one".
    – Adam Brown
    Jan 26, 2014 at 4:53
  • Since the numbers in a sequence are all in an order, I think "starts from the number one" makes sense.
    – Patrick
    Jan 27, 2014 at 5:50
  • Adam, out of curiosity, is there a name for the sequences (1, 2, 3, ..., n) where n is a positive integer?
    – Patrick
    Jan 27, 2014 at 6:11

3 Answers 3

1

Given your clarification above, I don't believe that there is a single word to convey the property of beginning with 1 in such a general sense.

In a math context I would use "Choose any natural sequence having 1 as its first element" or "Choose any natural sequence that starts with 1."

Of course if this is a mathematics paper or assignment, it is perfectly acceptable to define a new term. Eg.: "Definition. A sequence of natural numbers is said to be one-grounded if it begins with 1." After which you can use the new term without fear of ambiguity.

0

A numbering or indexing system that starts from 1 is said to be one-based. By contrast, most of the widely used programming languages are zero-based.

See, for example, this article.

4
  • I think your suggestion is true for numbering or indexing systems but may not be understood/may have different connotations based on the context it's in which it's used and therefore doesn't mean starting from one in the general sense. For example, if I said "Choose any one-based sequence," it its only meaning "choose a sequence that starts from one"? Couldn't one take that to mean "choose any sequence that increments by one"?
    – Patrick
    Jan 26, 2014 at 3:11
  • I think "one-based" would imply only sequences like (1, 2, 3, ... n).
    – Adam Brown
    Jan 26, 2014 at 3:43
  • @AdamBrown To quote from the OP's question: "This is so I can describe a sequence that starts from the number one."
    – Gnawme
    Jan 26, 2014 at 4:29
  • 1
    @Gnawme - Well, sure. (1, -10, 100, ...) is also a sequence that starts from one, but it strikes me as not suggested by "one-based".
    – Adam Brown
    Jan 26, 2014 at 4:43
0

I would have thought "cardinal sequence" would work, but the mathematicians seem to have co-opted the term to mean something different.

2
  • Not sure I see your point. A cardinal number is defined as "any of the numbers that express amount" so a cardinal sequence would be "any of the sequences that express amount". Is there another definition of cardinal you're referring to?
    – Patrick
    Jan 27, 2014 at 5:56
  • Cardinal as in a number used in counting. Wolfram says "In common usage, a cardinal number is a number used in counting (a counting number), such as 1, 2, 3, ....". Jan 27, 2014 at 5:59

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.