Millennium Prize Problems - Win $1,000,000 Prize by Solving This Mathematics Problems It may strike many as odd that there are unfinished bits of mathematics.
Millennium Prize Problems - Win $1,000,000 Prize Money by Solving This Mathematics Problem. In school, maths is presented as a completed textbook that was worked out hundreds of years ago. The truth is that mathematics is a constantly developing field: some problems can be solved comparatively easily while others seem completely resistant to attack. One such problem is known as Goldbach's conjectu
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https://www.youtube.com/watch?time_continue=1418&v=vzjbRhYjELo
John Baez on the number 24 This ain't Sesame Street. The Rankin Lectures 2008, My Favorite Numbers, were given by John Baez of the University of California at Riverside. Baez is well-k...
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https://www.youtube.com/watch?v=yhtcJPI6AtY
The Riemann Hypothesis: How to make $1 Million Without Getting Out of Bed Mathematics is patterns and logic, imagination and rigor. It is a way of seeing and a way of thinking. Math Mornings is a series of public lectures aimed at ...
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Why -1/12 is a gold nugget Okay, the links... 1. New vid on the Riemann Hypothesis explains where -1/12 comes from: http://youtu.be/d6c6uIyieoo 2.The original videos at http://youtu.be...
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Riemann Hypothesis - Numberphile Here is the biggest (?) unsolved problem in maths... The Riemann Hypothesis. Prime Number Theorem: http://youtu.be/l8ezziaEeNE Fermat's Last Theorem: http://...
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Millennium Prize Problems
P versus NP problem
http://www.claymath.org/millenium-problems/p-vs-np-problem
Rules for the Millennium Prizes
http://www.claymath.org/millennium-problems/rules-millennium-prizes
Related Documents:
http://www.claymath.org/sites/default/files/pvsnp.pdf
Lecture by Vijaya Ramachandran
http://claymath.msri.org/pversusnp.mov
01/10/2014
Millennium Prize Problems
Hodge conjecture
http://www.claymath.org/millenium-problems/hodge-conjecture
Rules for the Millennium Prizes
http://www.claymath.org/millennium-problems/rules-millennium-prizes
Related Documents:
http://www.claymath.org/sites/default/files/hodge.pdf
Lecture by Dan Freed
http://claymath.msri.org/hodgeconjecture.mov
01/10/2014
Millennium Prize Problems
Riemann hypothesis
http://www.claymath.org/millenium-problems/riemann-hypothesis
Rules for the Millennium Prizes
http://www.claymath.org/millennium-problems/rules-millennium-prizes
Related Documents:
Official Problem Description by Enrico Bombieri
http://www.claymath.org/sites/default/files/official_problem_description.pdf
The Riemann Hypothesis by Peter Sarnak
http://www.claymath.org/sites/default/files/sarnak_rh_0.pdf
Lecture by Jeff Vaaler
http://claymath.msri.org/riemannhypothesis.mov
01/10/2014
Millennium Prize Problems
Yang–Mills existence and mass gap
http://www.claymath.org/millenium-problems/yang%E2%80%93mills-and-mass-gap
Rules for the Millennium Prizes
http://www.claymath.org/millennium-problems/rules-millennium-prizes
Related Documents:
Official Problem Description by Arthur Jaffe and Edward Witten
http://www.claymath.org/sites/default/files/yangmills.pdf
Status of the Problem by Michael Douglas
http://www.claymath.org/sites/default/files/ym2.pdf
Lecture by Lorenzo Sadun
http://claymath.msri.org/yangmillsexistence.mov
01/10/2014
Millennium Prize Problems
Navier–Stokes existence and smoothness
http://www.claymath.org/millenium-problems/navier%E2%80%93stokes-equation
Rules for the Millennium Prizes
http://www.claymath.org/millennium-problems/rules-millennium-prizes
Related Documents:
http://www.claymath.org/sites/default/files/navierstokes.pdf
Lecture by Luis Cafarelli
http://claymath.msri.org/navierstokes.mov
01/10/2014
Millennium Prize Problems
Birch and Swinnerton-Dyer conjecture
http://www.claymath.org/millenium-problems/birch-and-swinnerton-dyer-conjecture
Rules for the Millennium Prizes
http://www.claymath.org/millennium-problems/rules-millennium-prizes
Related Documents:
Official Problem Description
http://www.claymath.org/sites/default/files/birchswin.pdf
Read more
http://www.claymath.org/millennium/Birch_and_Swinnerton-Dyer_Conjecture/birchswin.pdf
Millennium Prize Problems http://en.wikipedia.org/wiki/Millennium_Prize_Problems
Offer by Clay Mathematics Institute http://en.wikipedia.org/wiki/Clay_Mathematics_Institute
P versus NP problem http://en.wikipedia.org/wiki/P_versus_NP_problem
Hodge conjecture http://en.wikipedia.org/wiki/Hodge_conjecture
Poincaré conjecture (solved) http://en.wikipedia.org/wiki/Poincar%C3%A9_conjecture
Riemann hypothesis http://en.wikipedia.org/wiki/Riemann_hypothesis
Yang–Mills existence and mass gap http://en.wikipedia.org/wiki/Yang%E2%80%93Mills_existence_and_mass_gap
Navier–Stokes existence and smoothness http://en.wikipedia.org/wiki/Navier%E2%80%93Stokes_existence_and_smoothness
Birch and Swinnerton-Dyer conjecture http://en.wikipedia.org/wiki/Birch_and_Swinnerton-Dyer_conjecture
01/10/2014
Doubts continue on claim to have solved P vs NP mathematical question
Aug 17, 2010
One of the most complex mathematical problems in the world is proving either that P ≠ NP or P=NP, a riddle that was first formulated in 1971 by mathematicians Leonid Levin and Stephen Cook. The question was one of seven millennium problems set by the Clay Mathematical Institute (CMI) in Cambridge, Massachusetts as being among the most difficult to solve.
Vinay Deolalikar, a computer scientist from Hewlett-Packard's research arm based in Palo Alto, California, claims to have solved the problem and stands to win $1 million if his proof is accepted.
P refers to problems with solutions that are easy to find, in other words P is a class of problems for which an answer can be found in polynomial time. NP refers to problems with solutions that are almost impossible to find, but easy to verify, or in other words a class of problems for which an answer can be verified in polynomial time.
The Clay Mathematical Institute offers the following problem to illustrate NP: you have a list of 400 university students to be accommodated but there is only room in the dormitory for 100 students. The Dean has provided a list of pairs of incompatible students who cannot be on the final list. This is an NP-problem because it is extremely difficult to go through all possible combinations to come up with a list, but very easy to verify once a list is obtained. According to CMI the number of possible combinations is greater than the number of atoms in the universe.
If P ≠ NP some complex problems, such as the one above, could never be solved efficiently and there are serious limits on what computers will be able to accomplish in the future, whereas if P = NP every such problem would have a polynomial time solution. Mr Deolalikar writes that this would have profound implications for applications such as cryptography and on the question of whether or not human creativity could be automated.
Among those skeptical of Deolalikar's claim is Scott Aaronson, assistant professor of electrical engineering and computer science at the Massachusetts Institute of Technology (MIT), who said on his blog that he will personally add $200,000 to the prize, even though he can ill afford it, and he has not read Deolalikar's entire paper. He said if the proof was correct it would change his life so dramatically that "having to pay $200,000 will be the least of it." He later also gave his reasons for being so confident in MIT's technology review.
Another skeptic is Professor Richard Lipton at Georgia Tech College of Computing, who has been working on the P vs NP problem for three decades.
Deolalikar's paper is available online, and is being peer-reviewed by computer scientists. To be considered for the million dollar prize the paper must be published in an approved mathematics publication and must also retain general acceptance by mathematicians two years after the proof is published.
More information:
http://phys.org/news201232319.html
Doubts continue on claim to have solved P vs NP mathematical question One of the most complex mathematical problems in the world is proving either that P ≠ NP or P=NP, a riddle that was first formulated in 1971 by mathematicians Leonid Levin and Stephen Cook. The question was one of seven millennium problems set by the Clay Mathematical Institute (CMI) in Cambridge, ....