Timeline for Looking for an interesting problem/riddle involving triple integrals.
Current License: CC BY-SA 3.0
4 events
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Oct 19, 2012 at 14:29 | comment | added | Noam D. Elkies | Well anywhere you see products or sums of arbitrarily many variables (let alone multiple integrals of arbitrary multiplicity) there's an implicit use of induction to define and manipulate them... | |
Oct 18, 2012 at 21:19 | history | edited | Daniel Miller | CC BY-SA 3.0 |
Cleaned up the notation
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Jul 6, 2010 at 22:22 | comment | added | Eben Freeman | I don't think you really need induction... after all, you have $\int_{[0,1]^n} \left( 1 - x_1 \cdots x_n \right)^{-1}dx_k = \int \sum_{i=0}^{\infty} (x_1 \cdots x_n)^i dx_k = \ldots = \sum_{i=1}^{\infty} 1/i^n$ | |
Jul 6, 2010 at 19:58 | history | answered | Daniel Miller | CC BY-SA 2.5 |