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 changing terminology (was: overview paper co-author invitation) Base-Acid Tetration Fellow Posts: 94 Threads: 15 Joined: Apr 2009 08/23/2009, 02:07 PM (This post was last modified: 08/24/2009, 04:39 PM by Base-Acid Tetration.) I mean, what would we call "exponentiating" a function by plugging it into the taylor series, if we were to call f's superfuntion an f-exponential? I suggest the term "f-iteration series of g" for the function/operator g plugged into f's taylor series. So for a function/operator f, "exp-iteration series of f" would mean the series: $\sum_{n=0}^\infty \frac{f^{\circ n}(x)}{n!}$ The taylor's theorem will say: for a smooth function f, f approximately equals f plugged into the exp-iteration series of (x-x0)D around x0. "sin-iteration series of f" will mean: $\sum_{n=0}^\infty \frac{-^n f^{\circ 2n+1}(x)}{(2n+1)!}$ etc. etc. « 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

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