Poll of the Day > ITT: We solve one of the Millennium Prize Problems.

(+) Yeah! (+)

We'll evenly split the winnings between everyone that contributes.

The first step is picking a problem to focus on.
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Only if the reward is a Millennium Item.
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keyblader1985 posted...

Millennium Item

You mean like the ones from that Japanese cartoon "King of Games".
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All participants have to collect 10 Starchips in order to qualify for the finals.
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keyblader1985 posted...

Only if the reward is a Millennium Item.

Not gonna lie. That's what I thought this topic was about.

I would like to see your Analysis on P vs NP.
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Judgmenl posted...

I would like to see your Analysis on P vs NP.

I prefer girls with NP
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Nah id rather convince james randi i can do magic

party_animal07 posted...

keyblader1985 posted...

Only if the reward is a Millennium Item.

Not gonna lie. That's what I thought this topic was about.

I knew what it was about, but I secretly hoped it was about the other thing instead.


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party_animal07 posted...

keyblader1985 posted...

Only if the reward is a Millennium Item.

Not gonna lie. That's what I thought this topic was about.

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wanna post a short hand list of the problems for the 95% who aren't going to google it

...I mean, I googled it, but I already closed the window and did other stuff and don't feel like RE-googling
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YangMills and Mass Gap
Experiment and computer simulations suggest the existence of a "mass gap" in the solution to the quantum versions of the Yang-Mills equations. But no proof of this property is known.

Riemann Hypothesis
The prime number theorem determines the average distribution of the primes. The Riemann hypothesis tells us about the deviation from the average. Formulated in Riemann's 1859 paper, it asserts that all the 'non-obvious' zeros of the zeta function are complex numbers with real part 1/2.

P vs NP Problem
If it is easy to check that a solution to a problem is correct, is it also easy to solve the problem? This is the essence of the P vs NP question. Typical of the NP problems is that of the Hamiltonian Path Problem: given N cities to visit, how can one do this without visiting a city twice? If you give me a solution, I can easily check that it is correct. But I cannot so easily find a solution.

NavierStokes Equation
This is the equation which governs the flow of fluids such as water and air. However, there is no proof for the most basic questions one can ask: do solutions exist, and are they unique? Why ask for a proof? Because a proof gives not only certitude, but also understanding.

Hodge Conjecture
The answer to this conjecture determines how much of the topology of the solution set of a system of algebraic equations can be defined in terms of further algebraic equations. The Hodge conjecture is known in certain special cases, e.g., when the solution set has dimension less than four. But in dimension four it is unknown.

Birch and Swinnerton-Dyer Conjecture
Supported by much experimental evidence, this conjecture relates the number of points on an elliptic curve mod p to the rank of the group of rational points. Elliptic curves, defined by cubic equations in two variables, are fundamental mathematical objects that arise in many areas: Wiles' proof of the Fermat Conjecture, factorization of numbers into primes, and cryptography, to name three.
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I think the P-NP problem might be doable.
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I dont know much about any of this stuff, but that one seems "easy" to figure out, though obviously not as it hasnt been done before.

However I wouldnt begin to know where to start.