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FirstOrderMethodsOptimization_Beck_2017.Chap06.EuclideanL1Norm

@[reducible, inline]
noncomputable abbrev EuclideanSpace.l1Norm {ι : Type u_1} [Fintype ι] (x : EuclideanSpace ι) :

The Euclidean ℓ¹ norm on a finite product, specializing to ℝ^n when ι = Fin n.

Instances For
    @[simp]
    theorem EuclideanSpace.l1Norm_eq_sum_abs {ι : Type u_1} [Fintype ι] (x : EuclideanSpace ι) :
    x‖₁ = i : ι, |x.ofLp i|

    The Euclidean ℓ¹ norm is the finite sum of the coordinate absolute values.

    def «term‖_‖₁» :
    Lean.ParserDescr

    Textbook notation for the Euclidean ℓ¹ norm on a finite product.

    Instances For