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For every integer m, k, and n such that 0 ≤ m ≤ n − 1 and m ≤ k ≤ min{2m, n − 1}, we construct a subspace S m,k n = in Euclidean n-space R n satisfying the conditions that μdim S m,k n = m and dim S m,k n = k, where μ dim denotes the metric dimension

A construction of a subspace in Euclidean space with designated values of dimension and metric dimension