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 January 26th, 2015, 03:51 PM #1 Member   Joined: Jan 2015 From: Orlando, Florida Posts: 92 Thanks: 10 Finite Differences Let z be a complex number and k a positive integer such that z k is a positive real number other than 1. Let f(n) denote the real part of the complex number z n. Assume the parabola p(n) = an^2 + bn + c intersects f(n) four times, at n = 0, 1, 2, 3. Assuming the smallest possible value of k, find the largest possible value of a. The solution here: http://hmmt.mit.edu/static/archive/n...2014/theme.pdf one part that mentions f(3) − 3f(2) + 3f(1) − f(0) = 0. Can someone explain how to use finite differences on polynomials/other functions and what they do? Tags differences, finite 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 silvia_petkova Applied Math 2 July 6th, 2012 02:06 AM Hooman Real Analysis 0 February 20th, 2012 09:34 PM a_ntimage Algebra 2 November 5th, 2011 08:44 PM MrPhil Applied Math 1 August 7th, 2011 07:53 AM holiday Advanced Statistics 9 March 29th, 2008 09:40 AM

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