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ITT I will try to solve (and in fact solve) all the Millennium Prize Problems one by one. I will do so by a new proof technique that has been proved to be quite powerful. It combined homothopy theory with algebraic geometry. Having said that, the proof technique itself is elementary though. So, let's go ahead.
1. [math] \displaystyle P=NP [/math]
By definition, polynomila algorithms admit decomposition in chains of smaller polynomial algorithms. Consequently, polynomial time algorithms do not solve problems where blocks, whoose order is the same as the underlying problem, require simultaneous resolution. Thus, in fact [math] \displaystyle P \neq NP [/math]
2. Hodge conjecture
Assuming that if a compact Kähler mainfold is complex-analytically rigid, the area-minimizing subvarieties approach complex analytic subvarieties. The set of singularities of an area-minimizng flux is zero in measure. The rest it left to the reader as an easy routine excersize.
3. Riemann hypothesis
This is a simple experimental fact. [math] \displaystyle 10^{13} [/math] roots of the Riemann hypothesis have been already tested and it suffices for all practical applications. In fact, one state a suitable statistical hypothesis and check it on the sample of, say, [math] \displaystyle 10^5 [/math] roots.
4. Yang–Mills existence and mass gap
Well, discrete infinite bosonic energy-mass spectrum of gauge bosons under Gelfand nuclear triples admits non-perturbative quantization of Yang-Mills fields whence the gauge-invariant quantum spectrum is bounded below. A particular consequence is the existence of the mass gap.
5. Navier–Stokes existence and smoothness
(To be continued)
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(Cont.)
I haven't worked this one in such detail, but observing that
[math] \displaystyle \| L (u, v) \| ^ 2 = \sum_{n \ge 25} u ^ 2_ {2n} v ^ 2_ {2n +1} / n ^ 2 \le C\|(u_n/\sqrt n)\|_4^2 \|(v_n/\sqrt n)\|_4^2 \le C\|(u_n/\sqrt n)\|_2^2 \|(v_n/\sqrt n)\|_2^2 = C \left (\sum u ^ 2_ {n} / n \right) \left (\sum v ^ 2_ {n} / n \right) [/math]
one can easily find at leat one closed-form solution applying the bubble integral. In the equation, [math] \displaystyle L [/math] is a bilinear operator.
6. Birch and Swinnerton-Dyer conjecture
The problem with former attempts has been in the way elliptic curves have been dealt with. But this really admits a proof with a computer by checking the (finitely many) categories of curves.
I also have a simpler than Perelman's proof of the Poincare conjecture, but it's not worth the prize anymore
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nice one, what are you gonna buy with your 6 millions now?
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>>8922965
the answer is trivial and is left as exercise for the reader
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>>8922821
>This is a simple experimental fact.
I'm just an undergrad, but I'm pretty sure that's not how math works.
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>>8922821
Nothing you have posted has any significant relevance to anything important.
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>P=NP
N=0
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>>8923938
N=1 you fucking brainlet
now where's my million?
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>Math proofs are NP
>Assume that P = NP
>The proof becomes trivial
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Someone could legitimately make $1M if they could convert this architectural document into rigorous math.
>On The Riemann Zeta Function
>http://vixra.org/abs/1703.0073
The basic gist of the argument is that infinity is not symmetric about the origin, and therefore eventually there will be zeros whose real parts are not equal to one half.
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>>8925951
>infinity is not symmetric about the origin
Please fuck off already, schizo.
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>>8923211
Lost
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>this thread again
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>>8926008
Not necesserily a bad thing : these major problems need to be solved...
However, if the day 4chan finds the solutions happens, I will kek. Hard.
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