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What is the Degree of this Curve?

  1. Mar 10, 2013 #1
    I wonder how many degree of this curve where the endpoints are A0, A3, and A6?

    Is it degree of 6?
     

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  2. jcsd
  3. Mar 11, 2013 #2

    mathman

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    The minimum degree polynomial, when given n points, is of degree n-1. You are given 7 points so the minimum fitting polynomial is of degree six.
     
  4. Mar 11, 2013 #3

    rcgldr

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    Isn't this the maximum of the minimum degree polynomial that exactly fits n points? It's possible that the n points could be exactly fitted with a polynomial of lower degree.
     
  5. Mar 11, 2013 #4
    You can use Lagrange interpolation to write down an explicit polynomial that passes through the given points. As the Wikipedia article notes, such a polynomial will be of minimum degree. However, what do you mean by saying that A3 is an endpoint?
     
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