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The Navier-Stokes equation for an incompressible viscous fluid. The Navier-Stokes equations have wide applications such as weather modelling. One of the millennium prize problems stated by the Clay Mathematics Institute is the Navier-Stokes existence and smoothness problem concerning the mathematical properties of the Navier-Stokes equations which currently remain unsolved.

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Values of the Riemann zeta function ζ(s) in the complex plane. One of the most famous unsolved problems in math, the Riemann hypothesis, conjectures that all non-trivial zeros of this function have real part 1/2. The solution to this problem is worth one million dollars since it is one of the millennium prize problems.

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The Yang-Mills Existence and Mass-Gap problem asks about quantum gravity: is there a geometrical structure to explain why and how quantum particles have positive masses, even though the classical waves travel at the speed of light? The solution to this problem is worth one million dollars since it is one of the millennium prize problems.

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If you can solve this math problem you'll get a $1 million prize — and change internet security as we know it

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The Hodge Conjecture asks the question: to what extent can we approximate the shape of a given object by gluing together simple geometric building blocks of increasing dimension? Its solution is worth a million dollars since it is one of the millennium prize problems.

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Sir Michael Atiyah lectures on the Millennium Prize Problems for the next century. http://claymath.msri.org/atiyah2000.mov

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The Navier–Stokes existence and smoothness problem concerns the mathematical properties of solutions to the Navier–Stokes equations which describe fluid flow. The solution to this problem is worth one million dollars since it is one of the millennium prize problems.

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How many more Millennium Prize Problems, if any, do you think will be solved in the 21st century? - Quora

It is the duty of all teachers, and of teachers of mathematics in particular, to expose their students to problems much more than to facts. #MathQuotes #Math http://www.mathfilefoldergames.com/math-cafe/math-quotes/

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Win a million dollars with maths

Of the seven Millennium Prize Problems set by the Clay Mathematics Institute, six have yet to be solved, as of October 2014. 1.P versus NP 2.Hodge conjecture 3.Riemann hypothesis 4.Yang–Mills existence and mass gap 5.Navier–Stokes existence and smoothness 6.Birch and Swinnerton-Dyer conjecture.

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The Geeks' Guide to World Domination by Garth Sundem: Welcome to my GEEK brain. It has exactly 314.15 information slots. While I wish there were more slots, alas, there are not. And while I wish these slots were packed with things like mathematical proofs of Millennium Prize problems, the mechanics of teleportation using Einstein-...

MILLENNIUM PRIZE PROBLEM (3) - Poincaré conjecture (Solved - Grigori Perelman):

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Millennium Problems. One million dollar will be granted by the Clay Mathematics Institute to anyone solve any one of the Millennium Problems.

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Mukhtarbay Otelbayev of the Eurasian National University in Kazakhstan, claims to have proven the Navier-Stokes existence and smoothness problem, which concerns equations that are used to model fluids – from airflow over a plane's wing to the crashing of a tsunami. This is one of 7 Millennium Prize problems worth $1M from the Clay Mathematics Institute.

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The website 'http://science.slashdot.org/story/14/01/11/1715227/kazakh-professor-claims-solution-of-another-millennium-prize-problem' courtesy of @Pinstamatic (http://pinstamatic.com)

The website 'http://science.slashdot.org/story/14/01/11/1715227/kazakh-professor-claims-solution-of-another-millennium-prize-problem' courtesy of @Pinstamatic (http://pinstamatic.com)

If you can solve one of the Millennium Prize Problems, you win a million dollars. These 7 math problems were presented by the Clay Mathematics Institute in the year 2000. Only one has since been solved, and anybody who provides a complete, correct...

“The Poincaré Conjecture”.The conference to celebrate the resolution of the Poincaré conjecture, which is one of the Clay mathematics Institute's seven Millennium Prize Problems, was held at the Institut Henri Poincaré in Paris. Several leading mathematicians gave lectures providing an overview of the conjecture--its history, its influence on the development of mathematics, and, finally, its proof...