Mathematics Asked on December 21, 2021
(I bet you will send me to english.stackexchange.com and they will send me back here)
I will use an example – I have two lists of integers:
I’m looking for a neat word to clearly differentiate these lists when talking to a colleague who doesn’t really have a maths mindset. My intuition is:
I tried to google this sort of wording, but I get mixed results:
So what is the term for multiples made by using an odd/even factor?
Hopefully by now you can see why I struggled to come up with a good title for this question.
EDIT: A comment from GerryMyerson hints that I probably used an unfortunate k in my example. I’m after a word that will work for any k, whether or odd or even (although "pateksan’s odd multiples" of odd k are actually odd numbers). So for example list A might be 0, 8, 16, 24, … and list B might be 4, 12, 20, 28, …
We use the term modulo to describe what is left when you divide integers by a number $m$. Your example of $0,4,8,12,ldots$ are the numbers equivalent to $0$ modulo $4$, often written $n equiv 0 pmod 4$. The numbers $2,6,10,14,ldots$ are equivalent to $2 pmod 4$. Does that do what you want?
Answered by Ross Millikan on December 21, 2021
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