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I need a mapping from the unit Hypercube ##C^n:= \left[ 0,1\right] ^n## to a given simplex, namely ##S^n:=\left\{ \vec{x} \in\mathbb{R}^n |0\leq x_1\leq 1, 0\leq x_{k}\leq x_{k-1}\text{ for } k=2,3,\ldots , n\right\}##. Anybody know one? I have other requirements I need satisfy, so if you know more than one such mapping (transformation equations) please do post them.
Moderator: I’m not 100% certain that this is the appropriate sub-forum in which to post this question, so please feel free to move it. Thanks!
Moderator: I’m not 100% certain that this is the appropriate sub-forum in which to post this question, so please feel free to move it. Thanks!