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May
11
comment why is $\ell_0$ a pseudo-norm?
A lot of papers refer to it as a "pseudo-norm" or "quasi-norm" but they do not mean this in the standard mathematical sense, they just mean it is not a norm, and are being loose with terminology. The pseudonorm definition in Robert's answer is quite standard. The definition of quasinorm seems to be a bit less standard.
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revised Is every monotone map the gradient of a convex function?
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answered Is every monotone map the gradient of a convex function?
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