Data · dataset · 2014

INTEGRAL BY WAY OF INFINITE PARTITIONS

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We propose a new form of integral which arises from infinite partitions.

Description

We use upper and lower series instead of upper and lower Darboux finite sums. We show that every Riemann integrable function, both proper and improper, is integrable in the sense proposed here and both integrals have the same value.

We show that the Riemann integral and our integral are equivalent for bounded functions in bounded intervals.

Topics

Stated by source: Mathematics
Inferred from text: Integrable systems 75%

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Provenance · 1 source records, 10 field assertions

Source	Key	Last seen	Raw
DataCite	10.6084/m9.figshare.1133791.v3	14 d ago	JSON v1

Field	Assertion	Extractor	Evidence
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byte_size	source · DataCite	connector:datacite@1.0.0
concepts[field].anzsrc:field:490202	enrichment · DataCite	taxonomy-embedding@1.1.0	title+keywords+description (75%)
concepts[field].fos:mathematics	source · DataCite	connector:datacite@1.0.0
created_date	source · DataCite	connector:datacite@1.0.0
description	source · DataCite	connector:datacite@1.0.0	/data/attributes/descriptions
license	source · DataCite	connector:datacite@1.0.0	/data/attributes/rightsList
publication_date	source · DataCite	connector:datacite@1.0.0	/data/attributes/dates
title	source · DataCite	connector:datacite@1.0.0	/data/attributes/titles/0/title
updated_date	source · DataCite	connector:datacite@1.0.0

INTEGRAL BY WAY OF INFINITE PARTITIONS

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