👉 In mathematics, a normed vector space is a vector space equipped with a notion of length or distance, which can be used to measure the magnitude and direction of vectors. Norms are often used in functional analysis for defining norms on Hilbert spaces such as the Euclidean space Rn.
A normed vector space is defined by specifying two properties:
1.
Absolute Value
: Every element \(v\) in a normed vector space has an absolute value (also known as its magnitude or length
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