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 January 4th, 2015, 11:37 PM #1 Senior Member   Joined: Aug 2014 From: India Posts: 470 Thanks: 1 How I can define an equivalence relation on the graph of a function? Let $a∈ℝ$ being fixed. Let $g:ℝ→ℝ$ be a real analytic function with infinitely many zeros. I want to classify the points $c,d$ such that $g(a)=(a-u)g′(c)≠0$ and $g(a)=(a-w)g′(d)≠0$ where $c∈(u,a)$ and $d∈(w,a)$ with $g(u)=g(w)=0$ and $u≠w,a≠u,a≠w$. I am thinking about an equivalence relation. However, I am not able to formulate it mathematically. Tags define, equivalence, function, graph, relation 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 sachinrajsharma Algebra 1 March 11th, 2013 11:35 AM Taladhis Abstract Algebra 2 February 11th, 2013 08:20 AM Zhai Applied Math 1 May 10th, 2012 09:25 PM jrklx250s Real Analysis 3 December 7th, 2011 10:42 AM tinynerdi Abstract Algebra 1 January 11th, 2010 09:24 AM

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