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 October 10th, 2019, 12:57 PM #1 Senior Member   Joined: Dec 2015 From: Earth Posts: 826 Thanks: 113 Math Focus: Elementary Math Problem involving analytic expressions Given 3 random numbers $\displaystyle x,y,z \in \mathbb{R}\;$: (a) Find the number that is bounded by the two other numbers. Express it in terms of a function like $\displaystyle \phi (x,y,z)$. (b) Express the largest number in terms of $\displaystyle \phi(x,y,z)$. Last edited by skipjack; October 11th, 2019 at 05:36 AM. October 10th, 2019, 01:24 PM #2 Global Moderator   Joined: May 2007 Posts: 6,852 Thanks: 743 a) $\phi(x,y,z)=x+y+z-\max(x,y,z)-\min(x,y,z)$. b) $\max(x,y,z)=x+y+z-\min(x,y,z)-\phi(x,y,z)$. Thanks from topsquark, tahirimanov19, romsek and 2 others Last edited by skipjack; October 10th, 2019 at 02:42 PM. October 10th, 2019, 10:16 PM #3 Senior Member   Joined: Sep 2016 From: USA Posts: 684 Thanks: 457 Math Focus: Dynamical systems, analytic function theory, numerics The word "analytic" has a specific meaning in math and I don't think it's what you are intending here. Thanks from idontknow Last edited by skipjack; October 11th, 2019 at 05:32 AM. October 11th, 2019, 03:45 AM #4 Senior Member   Joined: Dec 2015 From: Earth Posts: 826 Thanks: 113 Math Focus: Elementary Math add: I forgot to write x,y,z are positive real numbers! I mean non-standard (elementary) expression. For example about (b) with simple math: $\displaystyle \max(x,y,z)=-(-1)^\lfloor (x+y+z)/3 \rfloor }+2\lfloor (x+y+z)/3 \rfloor \;$, x,y,z >0 , holds true only for positive integers. I'm just trying to say that the equality above is analytic since it involves integer parts and the negative base -1 ... etc. (The correct answers are given in post#2. Last edited by skipjack; October 11th, 2019 at 12:58 PM. October 11th, 2019, 04:09 AM   #5
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 Originally Posted by idontknow the correct answers are given in post#2. It's not since max is not an analytic function. October 11th, 2019, 05:36 AM #6 Global Moderator   Joined: Dec 2006 Posts: 21,110 Thanks: 2326 The problem didn't require each function used to be analytic. October 11th, 2019, 07:44 AM   #7
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 Originally Posted by skipjack The problem didn't require each function used to be analytic.
The title in the question obviously required that. Tags analytic, expression, expressions, involving, problem Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post Marva Geometry 4 February 23rd, 2018 10:37 AM Pi Hard Trigonometry 5 July 26th, 2015 10:24 AM tiba Geometry 3 June 10th, 2012 05:40 AM tiba Geometry 2 June 7th, 2012 04:03 PM mmzaj Complex Analysis 0 February 22nd, 2012 11:37 AM

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