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Is there a name for, or any research on, the variant of the
coupon collector's problem where coupons are acquired in batches of constant size (such as packs of trading cards) and duplication within a batch is impossible?
Neon
Merlin
04:43, 4 January 2015 (UTC)
Corrected your link
Rojomoke (
talk)
05:09, 4 January 2015 (UTC)
I'm not convinced. We commonly say things along the lines of " is the Taylor series for " but to me, it is not completely trivial to show that this is in accord with the definition of a Taylor series using derivatives and Taylor's theorem. Likewise the Bessel function of the first kind is definable using a power series, but that series results from using the Frobenius method to solve Bessel's equation and I can't see how to derive the same series using Taylor's theorem (otherwise, it would imply that odd derivatives of the function must be zero at the origin while even ones aren't, which seems rather strange to me). The hypergeometric functions aren't readily identifiable as Taylor series to me either. What gives?-- Jasper Deng (talk) 09:50, 4 January 2015 (UTC)
Mathematics desk | ||
---|---|---|
< January 3 | << Dec | January | Feb >> | January 5 > |
Welcome to the Wikipedia Mathematics Reference Desk Archives |
---|
The page you are currently viewing is an archive page. While you can leave answers for any questions shown below, please ask new questions on one of the current reference desk pages. |
Is there a name for, or any research on, the variant of the
coupon collector's problem where coupons are acquired in batches of constant size (such as packs of trading cards) and duplication within a batch is impossible?
Neon
Merlin
04:43, 4 January 2015 (UTC)
Corrected your link
Rojomoke (
talk)
05:09, 4 January 2015 (UTC)
I'm not convinced. We commonly say things along the lines of " is the Taylor series for " but to me, it is not completely trivial to show that this is in accord with the definition of a Taylor series using derivatives and Taylor's theorem. Likewise the Bessel function of the first kind is definable using a power series, but that series results from using the Frobenius method to solve Bessel's equation and I can't see how to derive the same series using Taylor's theorem (otherwise, it would imply that odd derivatives of the function must be zero at the origin while even ones aren't, which seems rather strange to me). The hypergeometric functions aren't readily identifiable as Taylor series to me either. What gives?-- Jasper Deng (talk) 09:50, 4 January 2015 (UTC)