Interesting Esoterica

Redefining the integral

Article by Derek Orr
  • Published in 2018
  • Added on
In the collection
In this paper, we discuss a similar functional to that of a standard integral. The main difference is in its definition: instead of taking a sum, we are taking a product. It turns out this new "star-integral" may be written in terms of the standard integral but it has many different (and similar) interesting properties compared to the regular integral. Further, we define a "star-derivative" and discuss its relationship to the "star-integral".

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BibTeX entry

@article{Redefiningtheintegral,
	title = {Redefining the integral},
	abstract = {In this paper, we discuss a similar functional to that of a standard
integral. The main difference is in its definition: instead of taking a sum, we
are taking a product. It turns out this new "star-integral" may be written in
terms of the standard integral but it has many different (and similar)
interesting properties compared to the regular integral. Further, we define a
"star-derivative" and discuss its relationship to the "star-integral".},
	url = {http://arxiv.org/abs/1805.01861v1 http://arxiv.org/pdf/1805.01861v1},
	year = 2018,
	author = {Derek Orr},
	comment = {},
	urldate = {2018-05-08},
	archivePrefix = {arXiv},
	eprint = {1805.01861},
	primaryClass = {math.CA},
	collections = {unusual-arithmetic}
}