Take two integers $d, p \geq 1$ and $a,b,c \in \mathrm{R}_{+}^{d}$ such that $a-b-c \in \mathrm{R}_{+}^{d}$ and $||c||_p \geq ||b||_p$.
Do we have $||a-b||_p \geq ||a-c||_p$ ?
2026-04-08 18:02:50.1775671370
Inequality between norms
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