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We show that for a generic continuous map $h:X\\rightarrow[0,1]$, the $(2d+1)$-delay observation map $x\\mapsto\\big(h(x),h(Tx),\\ldots,h(T^{2d}x)\\big)$ is an embedding of $X$ inside $[0,1]^{2d+1}$. This is a generalization of the discrete version of the celebrated Takens embedding theorem, as proven by Sauer, Yorke and Casdagli to the setting of a continuous observable. 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