TheoremBase

Standard k-Rectangle in Euclidean Space

Statement

Let k∈Nk\in\mathbb{N}. A standard kk-rectangle in Rk\mathbb{R}^k is a set of the form

R=[a1,b1]×⋯×[ak,bk],R=[a_1,b_1]\times\cdots\times[a_k,b_k],

where ai,bi∈Ra_i,b_i\in\mathbb{R} and ai<bia_i<b_i for every index i∈{1,…,k}i\in\{1,\dots,k\}.

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