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    Metric, Measure and Polynomial

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    If , show that there is a measure on [0,1] such that for every polynomial of degree at most ,
    .

    © BrainMass Inc. brainmass.com December 15, 2022, 4:56 pm ad1c9bdddf
    https://brainmass.com/math/basic-algebra/metric-measure-polynomial-53631

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    If , show that there is a measure on [0,1] such that for every polynomial of degree at most ,
    .(1)

    Solution: Define a polynomial function:

    ...

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    A Metric, Measure and Polynomial are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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