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Talk:Möbius function: Difference between revisions
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→Möbius function for positive integers: added comments, my mistake.
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:Zero is not a positive integer. The Möbius function is undefined at zero. No need to special case it. I don't see any examples that show a Möbius number for zero. Which ones are showing a value at zero? The only example that shows ANYTHING for an input of zero is the REXX example, and while that's a little odd, I wouldn't count it as wrong, as it specifically states that "bullet (•) to signify that a "null" is being shown (for the 0th entry)" ¯\_(ツ)_/¯ If REXX can't easily skip over zero, I'm not going to hold that against it. --[[User:Thundergnat|Thundergnat]] ([[User talk:Thundergnat|talk]]) 22:51, 25 January 2020 (UTC)
:: Sorry, my mistake that I thought I saw a zero being used for the input in showing the output (in fact, most programs inserted a blank (which I thought was a null being used for zero) to make the grid align with the others. Most of the programming solutions show a blank for the zeroth term, but that may just be an editing solution in showing a grid in leaving the place where a zero could/would be computed. Not knowing much about some languages, I misinterpreted what I observed. I've kept the REXX program to start at zero so as to make it look like (aligned with) all the other grids. I could special case the problem to ensure a blank is shown to align/match all the other grids, but I had already generalized the showing of a grid (even size 1). Sorry for all my confusion. -- [[User:Gerard Schildberger|Gerard Schildberger]] ([[User talk:Gerard Schildberger|talk]]) 23:34, 25 January 2020 (UTC)
:: If the REXX solution would show 199 entries, starting at unity, it would show something like (and make comparisons to other grids rather hard to visualize easily):
<pre>
1 -1 -1 0 -1 1 -1 0 0 1 -1 0 -1 1 1 0 -1 0 -1 0
1 1 -1 0 0 1 0 0 -1 -1 -1 0 1 1 1 0 -1 1 1 0
-1 -1 -1 0 0 1 -1 0 0 0 1 0 -1 0 1 0 1 1 -1 0
-1 1 0 0 1 -1 -1 0 1 -1 -1 0 -1 1 0 0 1 -1 -1 0
0 1 -1 0 1 1 1 0 -1 0 1 0 1 1 1 0 -1 0 0 0
-1 -1 -1 0 -1 1 -1 0 -1 -1 1 0 -1 -1 1 0 0 1 1 0
0 1 1 0 0 0 -1 0 1 -1 -1 0 1 1 0 0 -1 -1 -1 0
1 1 1 0 1 1 0 0 -1 0 -1 0 0 -1 1 0 -1 1 1 0
1 0 -1 0 -1 1 -1 0 0 -1 0 0 -1 -1 0 0 1 1 -1 0
-1 -1 1 0 1 -1 1 0 0 -1 -1 0 -1 1 -1 0 -1 0 -1
</pre>
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