6 of the most complicated mathematical puzzles continue to resolve. What are the problems of millennium?
7 puzzles and one million euros. This is the challenge that the problems of millennium, the most difficult mathematical puzzles known in 2000. So far, Only one was resolved Grigori Perelman proved Poincaré’s conjecture. But what are the others?
All of these problems focus on very different areas, and all are essential for understanding various aspects not only of mathematics, but also from physics or computer, for example.
One is about Hodge conjecturea bridge between two branches of mathematics, topology and algebra, which seeks to find reliable ways to bring complex forms closer, explains. In 25 years, there have been few progress in this domain, according to Pierre Deligne, a researcher at the Institute for Advanced Studies of Princeton. “We have little or no idea how to attack the problem“.
The second is related to the properties of equation solutions that define what is known as a Elliptical curve. These curves can be described by algebraic equations and have properties that have made them useful in a wide variety of contexts. They appear in the process of fagging large numbers in cousins and various types of encryption.
Another is about mass hiatus problem From Yang-Mills, related to elementary particles physics-how do things travel to the speed of light have no mass?
O problema P vs NP It is another of the problems of millennium – an open issue that has to do with the computational effort needed to solve certain types of mathematical problems.
The fifth problem is that of “existence and softness of Navier-Stokes“This problem investigates the reliability of Navier-Stokes equations, which are widely used to predict how fluids flow in various circumstances.
Finally, there is Riemann hypothesis. This is the oldest problem, and is over 116 years old. This theory that continues to prove states that there is a way of predicting at what point of the numerical line Prime numbers will appear.
Open, mathematicians looking for. These are the 7 problems of millennium. With the help of IA, can this centuries be resolved yet? Only time will say.
