chunk.txt

Definition of a norm\n• Assigns a positive number to each non-zero vector\n• Is only zero if the vector is an all-zero vector\n• Think of it as a function\nNorm properties\n• Homogeneity: ∥αx∥ = |α|∥x∥, for x ∈ RN and α ∈ R\n• Subadditivity: ∥x + y∥ ≤ ∥x∥ + ∥y∥, for x, y ∈ RN\n• Separability: x = 0 if and only if ∥x∥ = 0

sparse_vector.json

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