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Math Help - dimension

  1. #1
    Senior Member Sampras's Avatar
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    dimension

    Call a polynomial balanced if its average value over every circle centered at zero is zero. The of all polynomials of degree  \leq 2009 forms a vector space  V . Find  \text{dim} \ V .

    So what basis this you use?
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  2. #2
    Senior Member Sampras's Avatar
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    Quote Originally Posted by Sampras View Post
    Call a polynomial balanced if its average value over every circle centered at zero is zero. The of all polynomials of degree  \leq 2009 forms a vector space  V . Find  \text{dim} \ V .

    So what basis this you use?
    I used rank nullity.
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  3. #3
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    the set of polynomials with degree less or equal a certain natural n ,is a subspace with dimension equal to n+1.
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