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rectangle geometry
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Is there a name given to the problem of finding the maximum area-to- perimeter ratio of a rectangle having radiused corners?
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Roots to Power Series
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[link] If this solution is wrong, why did I do everything right to arrive at it? Here it is, then. All the roots to any power series.
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Inverse Trig Functions
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Here is a true or false problem: (arcsin x)**2 + (arccos x)**2 = 1 I know that this is false and can prove it via a specific example, say with x = 0.5 However I seem to be unable to come up with a generalized expression for the left hand side of the equation that would also show that it is false. How... más »
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New Tech competition
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Hi all, Seen in Techcrunch, this competition should interest the group: [link]. The company is looking for best ideas for games, laptops, phones, music using this new tech: the 5 winnings ideas get $6,000, and more. Ideas can be submitted by Nov 30, competition ends Dec 13th: the more... más »
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Which game has more possibilities, stratego or chess ?
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Hello, I am wondering which game has more possibilities for a computer to calculate: 1. Stratego or 2. Chess ? For stratego: Calculation possibility 1: assume all setups are known in advance and visible/open playing field. Calculation possibility 2: setups are hidden try guessing, only one side is... más »
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Roots
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Roots to any degree polynomial, including power series: [link] Jon People PC deleted my entiere math website. I lost everything. I have backup, but it's a piss poor way to treat a customer.
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TMFCS-10 Call for papers
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TMFCS-10 Call for papers The 2010 International Conference on Theoretical and Mathematical Foundations of Computer Science (TMFCS-10) (website: [link]) will be held during 12-14 of July 2010 in Orlando, FL, USA. TMFCS is an important event in the theoretical, mathematical and logical areas... más »
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Galois theory question
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Can anyone please explain why the following statement is true? Unfortunately the text omitted a proof. If K and L are fields where L is a finite extension of K, then there exists a polynomial f(x) in K[x] so that L is contained in the splitting field of f(x) over K. Many thanks.
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Not isomorphic, quadratic fields
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Hello, I would like to show that Q(sqrt(2)) is not isomorphic to Q(sqrt(3))--well, at least I believe this to be the case. Here Q(sqrt(2)) = {a + b*sqrt(2) : a,b rational} and similarly for Q(sqrt(3)). I've tried playing about to deduce a contradiction but nothing seems to work really. Any ideas? I'm sure it is relatively simple but it's not clicking.... más »
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