428: Euclidean-Normed Euclidean Vectors Space

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A definition of Euclidean-normed Euclidean vectors space

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Topics

About: vectors space

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The table of contents of this article

• Starting Context
• Target Context
• Orientation
• Main Body
• 1: Definition
• 2: Note

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Starting Context

• The reader knows a definition of Euclidean vectors space.
• The reader knows a definition of Euclidean-norm on Euclidean vectors space.

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Target Context

• The reader will have a definition of Euclidean-normed Euclidean vectors space.

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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.

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Main Body

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1: Definition

Any Euclidean vectors space, \(\mathbb{R}^n\), together with its Euclidean-norm

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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.

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References

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