Completeness of the real numbers
id:
completeness-of-the-real-numbers-261-5878257
title:
Completeness of the real numbers
text:
Completeness is a property of the real numbers that, intuitively, implies that there are no "gaps" or "missing points" in the real number line. This contrasts with the rational numbers, whose corresponding number line has a "gap" at each irrational value. In the decimal number system, completeness is equivalent to the statement that any infinite string of decimal digits is actually a decimal representation for some real number. Depending on the construction of the real numbers used, completeness
brand slug:
wiki
category slug:
encyclopedia
description:
Concept in mathematics
original url:
https://en.wikipedia.org/wiki/Completeness_of_the_real_numbers
date created:
date modified:
2023-12-09T21:13:59Z
main entity:
{"identifier":"Q1324487","url":"https://www.wikidata.org/entity/Q1324487"}
image:
fields total:
13
integrity:
14