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Exploring a generalized Hausdorff integral for functions in [0, +∞) × [0, +∞), extending from earlier work on h-measure spaces and dimensionality.
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This paper is available on arxiv(https://arxiv.org/abs/2402.09118) under CC BY-NC-ND 4.0 DEED license. We call f : K → R a simple function, if Ranf is finite. For K ⊂ R, χK will denote the characteristic function of K.

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