• 0 Vote(s) - 0 Average
• 1
• 2
• 3
• 4
• 5
 A Notation Question (raising the highest value in pow-tower to a different power) jaydfox Long Time Fellow Posts: 440 Threads: 31 Joined: Aug 2007 02/18/2019, 04:52 AM (02/18/2019, 03:41 AM)Micah Wrote: Any thoughts on the expression of the function in this thread?  What is the standard operator for hyper-4 in this forum? I am used to using the up-arrow notation, is that received okay here? I don't think there's a standard notation.  We try to be flexible, as long as it's clear what you mean.  When in doubt, define your notation before you use it, or after the first use, and then just be consistent. As far as notations we use here, I've seen the use of the double caret, such as 4^^3, which would be 4^(4^4), assuming that the single caret is exponentiation.  This is essentially the same as up-arrow notation you mentioned (Knuth arrow notation?). I myself am partial to the left-sided superscript: ${}^{3}{4} = 4^{4^{4}}$ I can't remember if there's a better way to write a left-sided superscript in TeX.  I haven't been on the forum much for the past 4-5 years.  Maybe one of the other regular forum members will remember. The downside of the left-sided superscript is that it doesn't have a clear extension to pentation.  With the up-arrow notation, pentation would be a triple up arrow.  So when you're getting into a deep discussion about iteration theory, up-arrow notation is probably more appropriate.  If you're getting into a deep discussion about tetration specifically, then the left-sided superscript is a little more compact.  But it's all a question of preference. ~ Jay Daniel Fox « Next Oldest | Next Newest »

 Messages In This Thread A Notation Question (raising the highest value in pow-tower to a different power) - by Micah - 02/17/2019, 11:29 PM RE: A Notation Question (raising the highest value in pow-tower to a different power) - by jaydfox - 02/18/2019, 02:21 AM RE: A Notation Question (raising the highest value in pow-tower to a different power) - by Micah - 02/18/2019, 03:41 AM RE: A Notation Question (raising the highest value in pow-tower to a different power) - by jaydfox - 02/18/2019, 04:38 AM RE: A Notation Question (raising the highest value in pow-tower to a different power) - by jaydfox - 02/18/2019, 04:52 AM RE: A Notation Question (raising the highest value in pow-tower to a different power) - by jaydfox - 02/18/2019, 05:08 AM RE: A Notation Question (raising the highest value in pow-tower to a different power) - by Micah - 02/18/2019, 08:33 PM RE: A Notation Question (raising the highest value in pow-tower to a different power) - by sheldonison - 02/18/2019, 08:49 PM RE: A Notation Question (raising the highest value in pow-tower to a different power) - by Micah - 02/18/2019, 10:34 PM

 Possibly Related Threads... Thread Author Replies Views Last Post Could there be an "arctic geometry" by raising the rank of all operations? Syzithryx 2 724 07/24/2019, 05:59 PM Last Post: Syzithryx Math overflow question on fractional exponential iterations sheldonison 4 3,680 04/01/2018, 03:09 AM Last Post: JmsNxn Functional power Xorter 0 1,320 03/11/2017, 10:22 AM Last Post: Xorter 2 fixpoints related by power ? tommy1729 0 1,454 12/07/2016, 01:29 PM Last Post: tommy1729 Sexp redefined ? Exp^[a]( - 00 ). + question ( TPID 19 ??) tommy1729 0 1,580 09/06/2016, 04:23 PM Last Post: tommy1729 Inverse power tower functions tommy1729 0 1,869 01/04/2016, 12:03 PM Last Post: tommy1729 [MO] Is there a tetration for infinite cardinalities? (Question in MO) Gottfried 10 12,058 12/28/2014, 10:22 PM Last Post: MphLee Remark on Gottfried's "problem with an infinite product" power tower variation tommy1729 4 5,188 05/06/2014, 09:47 PM Last Post: tommy1729 about power towers and base change tommy1729 7 8,222 05/04/2014, 08:30 AM Last Post: tommy1729 Another question! JmsNxn 4 4,285 08/27/2013, 06:57 PM Last Post: JmsNxn

Users browsing this thread: 1 Guest(s)