P v NP
In Our Time5 Nov 2015

P v NP

Melvyn Bragg and guests discuss the problem of P versus NP, which has a bearing on online security. There is a $1,000,000 prize on offer from the Clay Mathematical Institute for the first person to come up with a complete solution. At its heart is the question "are there problems for which the answers can be checked by computers, but not found in a reasonable time?" If the answer to that is yes, then P does not equal NP. However, if all answers can be found easily as well as checked, if only we knew how, then P equals NP. The area has intrigued mathematicians and computer scientists since Alan Turing, in 1936, found that it's impossible to decide in general whether an algorithm will run forever on some problems. Resting on P versus NP is the security of all online transactions which are currently encrypted: if it transpires that P=NP, if answers could be found as easily as checked, computers could crack passwords in moments.

With

Colva Roney-Dougal Reader in Pure Mathematics at the University of St Andrews

Timothy Gowers Royal Society Research Professor in Mathematics at the University of Cambridge

And

Leslie Ann Goldberg Professor of Computer Science and Fellow of St Edmund Hall, University of Oxford

Producer: Simon Tillotson.

Avsnitt(1082)

Stevie Smith

Stevie Smith

In 1957 Stevie Smith published a poetry collection called Not Waving But Drowning – and its title poem gave us a phrase which has entered the language. Its success has overshadowed her wider work as t...

16 Mars 202353min

Chartism

Chartism

On 21 May 1838 an estimated 150,000 people assembled on Glasgow Green for a mass demonstration. There they witnessed the launch of the People’s Charter, a list of demands for political reform. The cha...

9 Mars 202351min

Tycho Brahe

Tycho Brahe

Melvyn Bragg and guests discuss the pioneering Danish astronomer Tycho Brahe (1546 – 1601) whose charts offered an unprecedented level of accuracy.In 1572 Brahe's observations of a new star challenged...

2 Mars 202353min

Superconductivity

Superconductivity

Melvyn Bragg and guests discuss the discovery made in 1911 by the Dutch physicist Heike Kamerlingh Onnes (1853-1926). He came to call it Superconductivity and it is a set of physical properties that ...

23 Feb 202350min

Rawls' Theory of Justice

Rawls' Theory of Justice

Melvyn Bragg and guests discuss A Theory of Justice by John Rawls (1921 - 2002) which has been called the most influential book in twentieth century political philosophy. It was first published in 197...

16 Feb 20231h

John Donne

John Donne

Melvyn Bragg and guests discuss Donne (1573-1631), known now as one of England’s finest poets of love and notable in his own time as an astonishing preacher. He was born a Catholic in a Protestant co...

9 Feb 202351min

The Great Stink

The Great Stink

Melvyn Bragg and guests discuss the stench from the River Thames in the hot summer of 1858 and how it appalled and terrified Londoners living and working beside it, including those in the new Houses o...

26 Jan 202350min

Persuasion

Persuasion

Melvyn Bragg and guests discuss Jane Austen’s last complete novel, which was published just before Christmas in 1817, five months after her death. It is the story of Anne Elliot, now 27 and (so we ar...

19 Jan 202350min

Populärt inom Historia

massmordarpodden
kod-katastrof
historiska-brott
motiv
p3-historia
olosta-mord
rss-historien-om
rss-seriemordarpodden
historiepodden-se
historianu-med-urban-lindstedt
rss-brottsligt
rss-massmordarpodden
rss-historiska-brottslingar
rss-arkiv-stieg
krigshistoriepodden
militarhistoriepodden
harrisons-dramatiska-historia
rss-folkets-historia
nu-blir-det-historia
vetenskapsradion-historia