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Mathematics LibreTexts

5: Vector Spaces

  • Page ID
    72204
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    Some useful vector spaces:

    R, the vector space of ordered n-tuples

    P, the vector space of polynomials with real coefficients of degree less than or equal to n.

    C the vector space of continuous functions - the interval can be specified as [a,b] or (-oo, oo)

    Coo the vector space of continuous real-valued functions with infinitely many continuous derivatives - the interval can be specified as [a,b] or (-oo, oo)

    Cn the vector space of continuous real-valued functions with n continuous derivatives - the interval can be specified as [a,b] or (-oo, oo)

    F the vector space of all real-valued functions - the interval can be specified as [a,b] or (-oo, oo)

     


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