# Millennium prize problems

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Millennium Prize Problems - Wikipedia, the free encyclopedia

Millennium Prize Problems

Millennium Prize Problems

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-...

The Millennium Prize Problems list: In order to celebrate mathematics in the new millennium, The Clay Mathematics Institute of Cambridge, Massachusetts (CMI) established seven Prize Problems. Following the decision of the Scientific Advisory Board, the Board of Directors of CMI designated a $7 million prize fund for the solution to these problems, with $1 million allocated to the solution of each problem. .pic ref:***** P vs NP Problem. *****

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.

The P versus NP problem asks: can non-polynomial (NP) problems be reduced to easier and quicker to solve polynomial (P) problems? For example, consider the travelling salesman problem (determining most efficient route) for 1.9 million cities. The solution to the P versus NP problem is worth one million dollars since it is one of the millennium prize problems.

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 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.

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.

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.

Millennium Prize Problems

Researchers have discovered that the solutions to a famous mathematical function called the Riemann zeta function correspond to the solutions of another, different kind of function that may make it easier to solve one of the biggest problems in mathematics: the Riemann hypothesis. If the results can be rigorously verified, then it would finally prove the Riemann hypothesis, which is worth a $1,000,000 Millennium Prize from the Clay Mathematics Institute.

Some elliptic curves. The Birch and Swinnerton-Dyer conjecture is connected to characterizing elliptic curves. The solution to this problem is worth one million dollars since it is one of the millennium prize problems. The proof of Fermat's Last Theorem (one of mathematics' most famous unsolved problems from 1637 to 1995) was also connected to elliptic curves.

P vs NP Millennium Prize Problems - Business Insider