
# 5: Vector Spaces


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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