MathAlgebraLinear algebraVectors and vector spaces

Vector norm and distance between vectors

Lebesgue Norm

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Suppose we are working in a Lebesgue space LpL_{p} where instead of the Euclidean norm the p-norm is used. In our case, we are dealing with p=3p=3. In this space, we consider a five-dimensional vector with the following coordinates v=(1,1,3,3,2)\vec{v}=(1,1,3,3,2). Calculate the appropriative norm of this vector. You should write down the answer as an integer. For example, 33.

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