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Generalized Hausdorff Integral and Its Applications: Abstract and Introduction

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Contenuto fornito da HackerNoon. Tutti i contenuti dei podcast, inclusi episodi, grafica e descrizioni dei podcast, vengono caricati e forniti direttamente da HackerNoon o dal partner della piattaforma podcast. Se ritieni che qualcuno stia utilizzando la tua opera protetta da copyright senza la tua autorizzazione, puoi seguire la procedura descritta qui https://it.player.fm/legal.

This story was originally published on HackerNoon at: https://hackernoon.com/generalized-hausdorff-integral-and-its-applications-abstract-and-introduction.
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 can be considered as a continuation of the papers 7 and 8. In all our intentions, we follow the same attitude that we had in our previous investigations, i.e. we work in the realm of Hausdorff dimension and measure. The new integral has the usual properties, e.g. it is a linear functional, monotone, it provides an h-measure, etc.

  continue reading

400 episodi

Artwork
iconCondividi
 
Manage episode 429532937 series 3474385
Contenuto fornito da HackerNoon. Tutti i contenuti dei podcast, inclusi episodi, grafica e descrizioni dei podcast, vengono caricati e forniti direttamente da HackerNoon o dal partner della piattaforma podcast. Se ritieni che qualcuno stia utilizzando la tua opera protetta da copyright senza la tua autorizzazione, puoi seguire la procedura descritta qui https://it.player.fm/legal.

This story was originally published on HackerNoon at: https://hackernoon.com/generalized-hausdorff-integral-and-its-applications-abstract-and-introduction.
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 can be considered as a continuation of the papers 7 and 8. In all our intentions, we follow the same attitude that we had in our previous investigations, i.e. we work in the realm of Hausdorff dimension and measure. The new integral has the usual properties, e.g. it is a linear functional, monotone, it provides an h-measure, etc.

  continue reading

400 episodi

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