It being absolute values makes no sense to me.
Your claim is false regardless of \(|\cdot |\) being cardinality or absolute value.
Tbh this also feels like a waste of forum space, as it is rn. No offense.
I encourage you to be more detailed. This will help you in getting answers and other users in appreciating your ideas.
ps: back in the forum era, forums used to have rules and mods. Nowadays forums are not as popular as tey used to be, so much of the folklore usage, standards, etiquette went lost.
Here in the tetration forum, for what I know, the need for moderation has always been minimal, and the only rules were the implicit standard of forum usage (no spam, ads, decency, ecc.).
So no rules here about posing here. Anyways this is not a mailing list. I encourage a moderate use of the reply function, overusing the replying function means that the threads growth is exponential at worst.
If we set \(a\) the length of the average new contribution, if everyone abuse of the reply function the \(n+1\)-th post the thread will have length at worst \(T_{n+1}=2T_n+a\) at best \(T_{n+1}=T_n+2a\). So we have at best \(T_n\sim (2n+1)a\) and at worst \(T_n\sim (2^{n-1}-1)a\) of total text versus \(n\cdot a\) of useful info. A total waste of space and of precious time of readers. Readability of the forum gets horrible.
Your claim is false regardless of \(|\cdot |\) being cardinality or absolute value.
Tbh this also feels like a waste of forum space, as it is rn. No offense.
I encourage you to be more detailed. This will help you in getting answers and other users in appreciating your ideas.
ps: back in the forum era, forums used to have rules and mods. Nowadays forums are not as popular as tey used to be, so much of the folklore usage, standards, etiquette went lost.
Here in the tetration forum, for what I know, the need for moderation has always been minimal, and the only rules were the implicit standard of forum usage (no spam, ads, decency, ecc.).
So no rules here about posing here. Anyways this is not a mailing list. I encourage a moderate use of the reply function, overusing the replying function means that the threads growth is exponential at worst.
If we set \(a\) the length of the average new contribution, if everyone abuse of the reply function the \(n+1\)-th post the thread will have length at worst \(T_{n+1}=2T_n+a\) at best \(T_{n+1}=T_n+2a\). So we have at best \(T_n\sim (2n+1)a\) and at worst \(T_n\sim (2^{n-1}-1)a\) of total text versus \(n\cdot a\) of useful info. A total waste of space and of precious time of readers. Readability of the forum gets horrible.
Mother Law \(\sigma^+\circ 0=\sigma \circ \sigma^+ \)
\({\rm Grp}_{\rm pt} ({\rm RK}J,G)\cong \mathbb N{\rm Set}_{\rm pt} (J, \Sigma^G)\)
