• 0 Vote(s) - 0 Average
• 1
• 2
• 3
• 4
• 5
 Very curious question JmsNxn Long Time Fellow Posts: 291 Threads: 67 Joined: Dec 2010 08/18/2013, 11:14 PM (This post was last modified: 08/19/2013, 05:26 PM by JmsNxn.) What If I told you I can find infinite functions that equal their own derivative? Take some fractional differentiation method $\frac{d^t}{ds^t}f(s)$ which differentiates f across s, t times. Now assume that: $\frac{d^t}{ds^t} f(s) < e^{-t^2}$ for some s in some set $D \subset \mathbb{C}$, which can be easily constructed using some theorems I have. Then: $\phi(s) = \int_{-\infty}^{\infty} \cos(2 \pi t) \frac{d^{t}}{ds^{t}} f(s) dt$ If you differentiate $\phi$ by the continuity of this improper integral $\frac{d}{ds} \phi(s) = \phi(s)$ What does this mean? How did I get this? Where is the mistake? « Next Oldest | Next Newest »

 Messages In This Thread Very curious question - by JmsNxn - 08/18/2013, 11:14 PM RE: Very curious question - by JmsNxn - 08/19/2013, 05:39 PM RE: Very curious question - by mike3 - 08/19/2013, 09:41 PM RE: Very curious question - by JmsNxn - 08/20/2013, 08:56 PM

 Possibly Related Threads... Thread Author Replies Views Last Post Kneser method question tommy1729 9 1,699 02/11/2020, 01:26 AM Last Post: sheldonison A Notation Question (raising the highest value in pow-tower to a different power) Micah 8 4,057 02/18/2019, 10:34 PM Last Post: Micah Math overflow question on fractional exponential iterations sheldonison 4 4,591 04/01/2018, 03:09 AM Last Post: JmsNxn Sexp redefined ? Exp^[a]( - 00 ). + question ( TPID 19 ??) tommy1729 0 1,848 09/06/2016, 04:23 PM Last Post: tommy1729 [MO] Is there a tetration for infinite cardinalities? (Question in MO) Gottfried 10 13,470 12/28/2014, 10:22 PM Last Post: MphLee Another question! JmsNxn 4 4,744 08/27/2013, 06:57 PM Last Post: JmsNxn Question about curvature tommy1729 0 1,881 12/15/2012, 11:38 PM Last Post: tommy1729 (MSE) A limit- question concerning base-change Gottfried 0 2,575 10/03/2012, 06:44 PM Last Post: Gottfried A question concerning uniqueness JmsNxn 3 6,070 10/06/2011, 04:32 AM Last Post: sheldonison A random question for mathematicians regarding i and the Fibonacci sequence. robo37 0 2,520 08/07/2011, 11:17 PM Last Post: robo37

Users browsing this thread: 3 Guest(s)