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August 28th, 2015, 04:33 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 04:36 PM. 
August 29th, 2015, 06:33 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 11:15 AM. 

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coordinates, equations, find, system, visualise 
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