The polynomial functions of degree $n$ are in $\mathcal{C}^1\{[a,b],\mathbb{R}\}$, so does that mean that it has infinite dimension, since you cannot build an $n$-polynomial function from a combination of $(n-1)$-polynomial functions?
2026-04-02 13:11:22.1775135482
What is $\dim(\mathcal{C}^1\{[a,b],\mathbb{R}\})$?
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