Discover
/
Article

UC professor publishes proof of elusive math problem

SEP 28, 2015
Physics Today

New Scientist : Around 1932 Hungarian mathematician Paul Erdös showed that if one adds the values of a random infinite sequence of +1s and −1s, rather than equaling 0, the total will be at least 1. Erdös went on to wonder whether the discrepancy could ever be greater than 1. Although mathematicians believed the answer to be yes, no one had been able to prove it until recently. Last year Alexei Lisitsa and Boris Konev of the University of Liverpool in the UK used a computer program to prove that the discrepancy can equal 2. However, the 13-GB file that resulted was too large to be checked by a human. Now, by using traditional mathematics and crowdsourced work, Terence Tao of UCLA has given mathematical proof that the discrepancy is infinite . The achievement is significant because it shows that while computers are a useful tool, human brain power is still required to solve some problems.

Related content
/
Article
The finding that the Saturnian moon may host layers of icy slush instead of a global ocean could change how planetary scientists think about other icy moons as well.
/
Article
/
Article
After a foray into international health and social welfare, she returned to the physical sciences. She is currently at the Moore Foundation.
/
Article
Modeling the shapes of tree branches, neurons, and blood vessels is a thorny problem, but researchers have just discovered that much of the math has already been done.

Get PT in your inbox

pt_newsletter_card_blue.png
PT The Week in Physics

A collection of PT's content from the previous week delivered every Monday.

pt_newsletter_card_darkblue.png
PT New Issue Alert

Be notified about the new issue with links to highlights and the full TOC.

pt_newsletter_card_pink.png
PT Webinars & White Papers

The latest webinars, white papers and other informational resources.

By signing up you agree to allow AIP to send you email newsletters. You further agree to our privacy policy and terms of service.