Engel expansion
id:
engel-expansion-283-17888519
title:
Engel expansion
text:
The Engel expansion of a positive real number x is the unique non-decreasing sequence of positive integers such that For instance, Euler's number e has the Engel expansion corresponding to the infinite series Rational numbers have a finite Engel expansion, while irrational numbers have an infinite Engel expansion. If x is rational, its Engel expansion provides a representation of x as an Egyptian fraction. Engel expansions are named after Friedrich Engel, who studied them in 1913. An expansion a
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wiki
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encyclopedia
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original url:
https://en.wikipedia.org/wiki/Engel_expansion
date created:
date modified:
2024-01-02T20:59:55Z
main entity:
{"identifier":"Q279156","url":"https://www.wikidata.org/entity/Q279156"}
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