Submitted:
16 June 2022
Posted:
17 June 2022
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Abstract
I want to find an extension of the Hausdorff Measure and Fractal Measure which allows me to compute a unique, satisfying average for functions defined on non-fractal, measurable sets in the sense of Carathedory which has no gauge function.
Keywords:
Hausdorff Measure
; Fractals
; Gauge Function
; Dimension Function
; Set Theory
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