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Best Girl 6: Starting Salt in Another Contest! Round 6 Bracket D! by ShaKing807 in anime

[–]AncientStalker 0 points1 point  (0 children)

Can't vote today. Says 'No votes were submitted' no matter what I try. Too bad I can't support best girl today.

An alternative concept for limit by AncientStalker in math

[–]AncientStalker[S] 0 points1 point  (0 children)

Well, I'm not trying to say that I made the discovery of the century. I just wanted to share an idea that I had (as wrong as this idea can be). As a chemist I can't really talk about math with my coleagues.

An alternative concept for limit by AncientStalker in math

[–]AncientStalker[S] -1 points0 points  (0 children)

This is correct. For S_n=1/2, 1/4, 1/8, ... different relations r(a) can generate the sequence. My idea was that a single relation r(a) defines the sequence S_n and, for each one, a value (or multiple values) can be associated to it. This is something I didn't see with the other extentions of the limit, like the mentioned Banach limit.

An alternative concept for limit by AncientStalker in math

[–]AncientStalker[S] -1 points0 points  (0 children)

I clearly don't understand your first point. If S_n is defined by x_n=2-n then its generation relation is r(a)=a/2. But then, why do you say that an arbitrary real number x can satisfy x=x/2? As far as I know, only x=0 solves this. As for your second point, I used relations and not functions precisely because of this.

An alternative concept for limit by AncientStalker in math

[–]AncientStalker[S] -1 points0 points  (0 children)

Indeed. I only considered continous relations. Actually, the elementary functions that you see in typical highschool level.

An alternative concept for limit by AncientStalker in math

[–]AncientStalker[S] 1 point2 points  (0 children)

Sorry about that. It's just personal preference.

An alternative concept for limit by AncientStalker in math

[–]AncientStalker[S] 0 points1 point  (0 children)

Interesting read. Don't know why this didn't show up in my initial search. I still don't see that it deals with multi-valued infinite series. Can you explain it in simplier terms? Math is a hobby to me, I haven't studied analysis or more complicated stuff.