May 25th, 2018, 03:16 PM  #11 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 12,921 Thanks: 883 
When they're constipated, they work it out with a pencil 
May 26th, 2018, 09:09 AM  #12 
Senior Member Joined: May 2015 From: Arlington, VA Posts: 371 Thanks: 26 Math Focus: Number theory 
Especially Country Boy  thank you for your tutorial and tolerance. Yes, many mathematicians are rumored to do their best work before the age of 40, thus the Fields medal restriction. I will put to mind the hierarchy and definitions you posed about various sets. Last edited by skipjack; July 21st, 2018 at 09:04 PM. 
May 26th, 2018, 09:10 AM  #13 
Senior Member Joined: May 2015 From: Arlington, VA Posts: 371 Thanks: 26 Math Focus: Number theory  
June 18th, 2018, 09:03 AM  #14 
Math Team Joined: Jan 2015 From: Alabama Posts: 3,261 Thanks: 894  
July 21st, 2018, 03:24 PM  #15 
Math Team Joined: May 2013 From: The Astral plane Posts: 1,855 Thanks: 750 Math Focus: Wibbly wobbly timeywimey stuff.  
July 21st, 2018, 04:50 PM  #16 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,842 Thanks: 1068 Math Focus: Elementary mathematics and beyond 
That's been done. (by me ) Thanks.

July 31st, 2018, 09:59 AM  #17 
Senior Member Joined: Dec 2015 From: Earth Posts: 238 Thanks: 27 
Each mathematical function can be expressed as a sum or serie ... so you continue now by yourself 
July 31st, 2018, 10:29 AM  #18 
Math Team Joined: May 2013 From: The Astral plane Posts: 1,855 Thanks: 750 Math Focus: Wibbly wobbly timeywimey stuff.  
July 31st, 2018, 04:23 PM  #19 
Senior Member Joined: Sep 2016 From: USA Posts: 417 Thanks: 231 Math Focus: Dynamical systems, analytic function theory, numerics  This is true only for (complex) analytic functions which are a very small subset of all functions. "Most" functions (in the sense of Baire) aren't even differentiable, must less analytic and even smooth functions may fail to be analytic. I would go a different route with this one.


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