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Fixed Point of an Equation


Date: 07/21/99 at 22:42:08
From: Jharon Ward
Subject: Fixed Point of an Equation

Find the fixed point of T(x)=1/x^2


Date: 07/22/99 at 12:52:06
From: Doctor Peterson
Subject: Re: Fixed Point of an Equation

A fixed point of a transformation is a value that it leaves unchanged 
- just as the north (or south) pole is fixed when you transform the 
earth by rotating it. You can find a fixed point by writing

    T(x) = x

and solving for x. In this case, solve this equation:

     1
    --- = x
    x^2

You should find only one fixed point in this case; in other problems 
there could be more than one.

- Doctor Peterson, The Math Forum
  http://mathforum.org/dr.math/   
    
Associated Topics:
High School Analysis

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