 My Math Forum To find a system of coordinates for visualise a system of equations

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 August 28th, 2015, 05:33 PM #1 Senior Member   Joined: Nov 2013 Posts: 137 Thanks: 1 To find a system of coordinates for visualise a system of equations Given a system of equation (and its inverse): Which is the best system of coordinates (not necessarily orthogonal) that represents graphically these equations? OBS: A is a real number (... -3, -2, -1, 0, 1, 2, 3 ...) B is a POSITIVE real number or is a POSITIVE imaginary number (... i3, i2, i1, 0, 1, 2, 3 ...) Last edited by Jhenrique; August 28th, 2015 at 05:36 PM. August 29th, 2015, 07:33 AM #2 Senior Member   Joined: Nov 2013 Posts: 137 Thanks: 1 By geometric interpretation of geometric and arithmetic means, I concluded that A = x and B = r. This works very well! Using the relationship r² = x² + y², I concluded that α = x + i |y| β = x - i |y| Can you help me with this interpretation? Generally, complex numbers are defined like x + i y (without absolute!) Why the variable y appears inside of absolute function in this formula? And how I can understand the values of r? Since r is a positive real number or a positive complex number! OBS: r² = x² + y² r² - x² = y² √(r² - x²) = √(y²) √(r² - x²) = |y| Last edited by skipjack; August 29th, 2015 at 12:15 PM. Tags coordinates, equations, find, system, visualise 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 araujo Differential Equations 2 January 20th, 2015 01:37 PM badmathdog Algebra 2 September 29th, 2014 04:02 AM ZeusTheMunja Linear Algebra 20 January 25th, 2013 06:52 AM shin777 Algebra 4 November 20th, 2011 12:06 AM zain Elementary Math 1 April 7th, 2008 03:23 PM

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