definition of Euclidean-normed Euclidean vectors space
Topics
About: vectors space
The table of contents of this article
Starting Context
- The reader knows a definition of Euclidean norm on Euclidean vectors space.
Target Context
- The reader will have a definition of Euclidean-normed Euclidean vectors space.
Orientation
There is a list of definitions discussed so far in this site.
There is a list of propositions discussed so far in this site.
Main Body
1: Structured Description
Here is the rules of Structured Description.
Entities:
\(*\mathbb{R}^d\): \(= \text{ the Euclidean vectors space with the Euclidean norm }\)
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Conditions:
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2: Note
Although a Euclidean vectors space tends to be implicitly supposed to have the Euclidean norm, it is not necessarily so.
