From: RichD on 13 Nov 2009 21:13 http://www.nytimes.com/2009/10/08/science/Wpolynom.html?_r=1 How would algebraic geometry contribute to resolving this question? -- Rich
From: Gerry on 13 Nov 2009 23:24 On Nov 14, 1:13 pm, RichD <r_delaney2...(a)yahoo.com> wrote: > http://www.nytimes.com/2009/10/08/science/Wpolynom.html?_r=1 > > How would algebraic geometry contribute to resolving this question? I don't know. Have you tried reading the article in CACM that is referenced in the Times? -- GM
From: rich burge on 14 Nov 2009 15:03 On Nov 13, 8:24 pm, Gerry <ge...(a)math.mq.edu.au> wrote: > On Nov 14, 1:13 pm, RichD <r_delaney2...(a)yahoo.com> wrote: > > >http://www.nytimes.com/2009/10/08/science/Wpolynom.html?_r=1 > > > How would algebraic geometry contribute to resolving this question? > > I don't know. Have you tried reading the article in CACM > that is referenced in the Times? > -- > GM From: http://people.cs.uchicago.edu/~fortnow/papers/pnp-cacm.pdf "In essence, they define a family of high-dimension poly- gons Pn based on group representations on certain algebraic varieties. Roughly speaking, for each n, if Pn contains an integral point, then any circuit family for the Hamiltonian path problem must have size at least nlog n on inputs of size n, which implies P != NP. Thus, to show that P != NP it suffices to show that Pn contains an integral point for all n." Rich
From: zzbunker on 14 Nov 2009 16:02 On Nov 13, 9:13 pm, RichD <r_delaney2...(a)yahoo.com> wrote: > http://www.nytimes.com/2009/10/08/science/Wpolynom.html?_r=1 > > How would algebraic geometry contribute to resolving this question? Well, it doesn't. The idiot New York Times is one of those idiot organizations that can uniderstand what arbitrality complex means. Which is why the non-idiot people invented Digital Books, mp3, and mpeg rather than New York City. It's why they invented weather satellites, data fusion, cyber batteries, desktop publishing, mulitiplexed fiber optics, blue ray, Post 1950 cell phones, HDTV, and home broadband, rather than the Wall Street Journal. It's why they invented GPS, UAVs, Atomic Clock Wristwaches, Light Sticks, Rapid Prototyping, and The 21st Century, rather than Boeing. It's why they invented XML, rather than AT&T. It's why they invented USB, Flash Memory, and Self-Replicating Machines, rather than IBM. It's why they invented Microwave Cooling, and All-In-One Printers, rather than the idiot AP. > > -- > Rich
From: RichD on 14 Nov 2009 16:45 On Nov 14, "zzbun...(a)netscape.net" <zzbun...(a)netscape.net> wrote: > It's why they invented Microwave Cooling, Microwave cooling? -- Rich
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