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Symbols · Notation and constants

‖x‖ Norm

Say it: “the norm of x”

What it means

The length or size of a vector or matrix. Without a subscript it usually means the ordinary Euclidean length; ‖x‖₁ adds the absolute values instead.

Read aloud in real formulas

Linear algebra

‖x‖ = √(x₁² + x₂²)

Aethel says

the norm of x equals the square root of the quantity x sub one squared plus x sub two squared

the length of a vector in the plane

Machine learning

L = ‖y − Xβ‖²

Aethel says

L equals the norm of y minus X beta, squared

the squared error of a linear model

Typing it

LaTeX
\|x\|, \lVert x \rVert
Unicode
U+2016

Questions

How do you say ‖x‖ out loud?

It is usually read “the norm of x”.

What does ‖x‖ mean in maths?

The length or size of a vector or matrix. Without a subscript it usually means the ordinary Euclidean length; ‖x‖₁ adds the absolute values instead.

How do you type ‖x‖?

In LaTeX, write \|x\|, \lVert x \rVert. Its Unicode code point is U+2016.

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