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Analysis of information sources in references of the Wikipedia article "Teorema paralelogramului" in Romanian language version.
if p ≠ 2, there is no inner product such that ⟨ x , x ⟩ = ‖ x ‖ p {\displaystyle {\sqrt {\langle x,\ x\rangle }}=\|x\|_{p}} because the p-norm violates the parallelogram law.