• 0 Vote(s) - 0 Average
• 1
• 2
• 3
• 4
• 5
 changing terminology (was: overview paper co-author invitation) Base-Acid Tetration Fellow Posts: 94 Threads: 15 Joined: Apr 2009 08/11/2009, 02:14 AM (This post was last modified: 08/11/2009, 02:26 AM by Base-Acid Tetration.) andydude Wrote:Actually, it is a prefixno, -iter- is not a prefix, it's a word-stem of latin that means repeating. but i have no problem adopting it as a prefix. it's clearer than "super". (08/11/2009, 12:06 AM)bo198214 Wrote: So guys, to solve our current problems, I come up with the following quite memorizable and hopefully non-confusing suggestion: Roughly: An $f$-exponential $\eta_z(w)=v$ is the $w$ times application of $f$ to $z$. An $f$-logarithm $\gamma_z(v)=w$ returns the number $w$ of iterations of $f$ necessary to be applied on $z$ to obtain $v$. Additionally we may also have: An $f$-power $\varrho^w(z)=v$ is the $w$ times application of $f$ to $z$ (same as $f$-exponential but function in $z$, not in $w$.) Implicitely there is contained the concept of the Abel function: $\gamma_z$ is an Abel function for each $z$ and that of a superfunction/iterational $\eta_z$ is a superfunction for each $z$. Also ability to specify an initial value $z$ on which the iterations are applied, was often asked for here on the forum. Another thing is that imho it lets one think more in the direction of "a" $f$-exponential, while the prefix "super" rather suggests "the" superfunction, super-exponential. "$g$ is an $f$-exponential". (How do the native speakers think about it?) So we can leave the old super-notation in there previous meaning (though I think it is an unnecessary notation as everything can be specified with tetra-, penta-, etc. prefixes.) it will be confusing w/ my greek prefix terminology (tetra-, etc.). is a tetra-exponential an iterate of tetration b[4]x, as your terminology would suggest, or is it an iteration of b^x? but you don't need to worry about english, i thought you were a native speaker the first time i was here, i never knew you were henrik trappmann, a guy in germany « Next Oldest | Next Newest »

 Messages In This Thread changing terminology (was: overview paper co-author invitation) - by andydude - 08/03/2009, 12:41 AM RE: changing terminology (was: overview paper co-author invitation) - by Base-Acid Tetration - 08/10/2009, 05:09 PM RE: changing terminology (was: overview paper co-author invitation) - by Base-Acid Tetration - 08/10/2009, 05:51 PM RE: changing terminology (was: overview paper co-author invitation) - by bo198214 - 08/10/2009, 06:12 PM RE: changing terminology (was: overview paper co-author invitation) - by andydude - 08/11/2009, 01:38 AM RE: changing terminology (was: overview paper co-author invitation) - by andydude - 08/11/2009, 02:17 AM RE: changing terminology (was: overview paper co-author invitation) - by Base-Acid Tetration - 08/11/2009, 02:37 AM RE: changing terminology (was: overview paper co-author invitation) - by Base-Acid Tetration - 08/10/2009, 06:15 PM RE: changing terminology (was: overview paper co-author invitation) - by bo198214 - 08/10/2009, 07:04 PM RE: changing terminology (was: overview paper co-author invitation) - by Gottfried - 08/10/2009, 10:03 PM RE: changing terminology (was: overview paper co-author invitation) - by bo198214 - 08/11/2009, 12:06 AM RE: changing terminology (was: overview paper co-author invitation) - by Base-Acid Tetration - 08/11/2009, 02:14 AM RE: changing terminology (was: overview paper co-author invitation) - by Base-Acid Tetration - 08/11/2009, 01:45 PM RE: changing terminology (was: overview paper co-author invitation) - by bo198214 - 08/11/2009, 01:56 PM RE: changing terminology (was: overview paper co-author invitation) - by bo198214 - 08/13/2009, 09:51 AM RE: changing terminology (was: overview paper co-author invitation) - by andydude - 08/13/2009, 10:55 AM RE: changing terminology (was: overview paper co-author invitation) - by bo198214 - 08/13/2009, 11:20 AM RE: changing terminology (was: overview paper co-author invitation) - by andydude - 08/13/2009, 07:53 PM RE: changing terminology (was: overview paper co-author invitation) - by andydude - 08/13/2009, 09:21 PM RE: changing terminology (was: overview paper co-author invitation) - by bo198214 - 08/13/2009, 10:17 PM RE: changing terminology (was: overview paper co-author invitation) - by andydude - 08/14/2009, 09:34 AM RE: changing terminology (was: overview paper co-author invitation) - by Base-Acid Tetration - 08/13/2009, 07:34 PM RE: changing terminology (was: overview paper co-author invitation) - by Base-Acid Tetration - 08/22/2009, 05:50 PM RE: changing terminology (was: overview paper co-author invitation) - by andydude - 08/23/2009, 12:46 AM RE: changing terminology (was: overview paper co-author invitation) - by Base-Acid Tetration - 08/23/2009, 02:07 PM RE: changing terminology (was: overview paper co-author invitation) - by Base-Acid Tetration - 09/02/2009, 05:01 PM RE: changing terminology (was: overview paper co-author invitation) - by andydude - 11/04/2009, 03:24 AM RE: changing terminology (was: overview paper co-author invitation) - by Base-Acid Tetration - 11/05/2009, 02:06 AM RE: overview paper co-author invitation - by Base-Acid Tetration - 08/03/2009, 06:10 PM RE: overview paper co-author invitation - by bo198214 - 08/04/2009, 04:46 PM RE: overview paper co-author invitation - by Gottfried - 08/04/2009, 07:13 PM RE: overview paper co-author invitation - by sheldonison - 08/04/2009, 09:17 PM RE: overview paper co-author invitation - by Kouznetsov - 08/05/2009, 08:16 AM RE: overview paper co-author invitation - by andydude - 08/13/2009, 09:05 AM RE: overview paper co-author invitation - by bo198214 - 08/13/2009, 09:22 AM RE: overview paper co-author invitation - by jaydfox - 08/05/2009, 05:51 PM RE: overview paper co-author invitation - by bo198214 - 08/05/2009, 06:15 PM RE: overview paper co-author invitation - by jaydfox - 08/05/2009, 06:25 PM RE: overview paper co-author invitation - by bo198214 - 08/05/2009, 06:51 PM RE: overview paper co-author invitation - by Gottfried - 08/05/2009, 07:54 PM RE: overview paper co-author invitation - by Kouznetsov - 08/06/2009, 02:36 AM

 Possibly Related Threads... Thread Author Replies Views Last Post Are there any reputable sources verifying terminology? Chenjesu 0 1,223 08/09/2018, 08:20 PM Last Post: Chenjesu Old Research Paper andydude 3 3,813 01/24/2018, 04:12 AM Last Post: andydude Poll: revised super terminology poll Base-Acid Tetration 8 10,780 08/23/2009, 12:26 PM Last Post: tommy1729 Poll: hyper-operations terminology Base-Acid Tetration 3 6,109 08/22/2009, 05:08 PM Last Post: Base-Acid Tetration overview paper co-author invitation bo198214 20 33,452 08/12/2009, 07:00 PM Last Post: bo198214 fractional powers of function inversion (was: changing terminology) Base-Acid Tetration 5 9,208 08/11/2009, 01:26 PM Last Post: bo198214 Paper with iteration intro andydude 4 7,310 05/13/2009, 07:53 AM Last Post: andydude Hyper terminology andydude 1 3,716 09/17/2008, 02:23 PM Last Post: bo198214

Users browsing this thread: 1 Guest(s)