Norm (mathematics): Difference between revisions

Content deleted Content added
Euclidean norm of complex numbers: Match notation that is already used later
Taxicab norm or Manhattan norm: clarify what 1 is subtracted from
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The name relates to the distance a taxi has to drive in a rectangular [[street grid]] (like that of the [[New York City|New York]] borough of [[Manhattan]]) to get from the origin to the point <math>x.</math>
 
The set of vectors whose 1-norm is a given constant forms the surface of a [[cross polytope]], ofwhich has dimension equivalentequal to thatthe dimension of the normvector space minus 1.
The Taxicab norm is also called the '''<math>\ell^1</math> norm'''. The distance derived from this norm is called the [[Manhattan distance]] or '''<math>\ell^1</math> distance'''.