Proizvolov's identity
id:
proizvolov-s-identity-202-8732978
title:
Proizvolov's identity
text:
In mathematics, Proizvolov's identity is an identity concerning sums of differences of positive integers. The identity was posed by Vyacheslav Proizvolov as a problem in the 1985 All-Union Soviet Student Olympiads. To state the identity, take the first 2N positive integers, and partition them into two subsets of N numbers each. Arrange one subset in increasing order: Arrange the other subset in decreasing order: Then the sum is always equal to N2.
brand slug:
wiki
category slug:
encyclopedia
description:
On sums of differences between 2 equal sets that partition the first 2N positive integers
original url:
https://en.wikipedia.org/wiki/Proizvolov%27s_identity
date created:
date modified:
2023-10-31T09:13:46Z
main entity:
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image:
fields total:
13
integrity:
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