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Generalized Hausdorff Integral and Its Applications: Basic Notions and Notations
This story was originally published on HackerNoon at: https://hackernoon.com/generalized-hausdorff-integral-and-its-applications-basic-notions-and-notations.
Exploring a generalized Hausdorff integral for functions in [0, +∞) × [0, +∞), extending from earlier work on h-measure spaces and dimensionality.
Check more stories related to tech-stories at: https://hackernoon.com/c/tech-stories.
You can also check exclusive content about #hausdorff-integral, #generalized-integral, #h-measure-spaces, #dimension-theory, #measurable-functions, #mathematical-analysis, #function-integration, #applied-mathematics, and more.
This story was written by: @hausdorff. Learn more about this writer by checking @hausdorff's about page,
and for more stories, please visit hackernoon.com.
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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By HackerNoonThis story was originally published on HackerNoon at: https://hackernoon.com/generalized-hausdorff-integral-and-its-applications-basic-notions-and-notations.
Exploring a generalized Hausdorff integral for functions in [0, +∞) × [0, +∞), extending from earlier work on h-measure spaces and dimensionality.
Check more stories related to tech-stories at: https://hackernoon.com/c/tech-stories.
You can also check exclusive content about #hausdorff-integral, #generalized-integral, #h-measure-spaces, #dimension-theory, #measurable-functions, #mathematical-analysis, #function-integration, #applied-mathematics, and more.
This story was written by: @hausdorff. Learn more about this writer by checking @hausdorff's about page,
and for more stories, please visit hackernoon.com.
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.