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Math Help - volume of part of simplex

  1. #1
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    volume of part of simplex

    We have a regular simplex x1+...xn=1. The formula to calculate its volume is well-known.
    I am interested to find a volume of part of the simplex, which satisfies x1+...+xk<A, 0<A<1,k<n
    Thank you in advance
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  2. #2
    Senior Member Tinyboss's Avatar
    Joined
    Jul 2008
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    That condition is subtle--I wrote up two separate replies about how it doesn't really make sense, and each time I realized I was interpreting it wrong. My first instinct is to try subdivision. If I come up with anything more specific I'll post back. Interesting problem...
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