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	~~Friends contact him Royal Seyler~~. ~~One~~ of ~~my preferred hobbies~~ is ~~tenting~~ and ~~now I'm attempting to earn money with~~ it. ~~I've always cherished living in Idaho~~. ~~Interviewing~~ is ~~what I do in my day job~~.<br><br>~~my web~~-~~site;~~ [http://~~www~~.~~sharkz~~-~~Fifa~~.de/~~index~~.~~php~~?~~mod~~=~~users~~&~~action~~=~~view~~&id=~~10274 www~~.~~sharkz~~-~~Fifa.de~~]		{{Cleanup\|date=September 2009}}

			Physicist [[Richard Feynman]] sent the following puzzle for his father attached to a letter to his mother in 1939
			<ref name=zero1>[http://www.amazon.com/dp/0141021136/ "Don't you have time to think" - UK edition], ISBN 0-14-102113-6</ref>
			.<ref name=zero6>[http://www.amazon.com/dp/B000NIJ4E2/ "Perfectly reasonable deviations from the beaten path" - US edition], ISBN 0-7382-0636-9</ref>

			Each digit of a [[long division]] has been replaced by a dot or the letter ''A'' (which stands for a unique digit). None of the dots are the same as the ''A'' digit. The goal is to reconstruct the original figures. The algorithm commonly used in the US calls for the [[quotient]] to be in the first line, the divisor to be before the ) and the dividend after it. The quotient is thus (....A..):(.A.) = (..A.)

			Here is the division:

			:<math>
			\begin{matrix}
			\qquad\qquad\quad\,\!\! .\;\, .\;\, A\;\, .\\
			.\, A\, .\overline{)\;\, .\;\, .\;\, .\;\, .\;\, A\;\, .\;\, .}\\
			\;\! \underline{.\; .\, A\; A}\\
			\quad\;\, .\;\, .\;\, .\;\, A\\
			\qquad\underline{.\;\, .\;\, A}\\
			\qquad\;\;\, .\;\,\, .\;\,\, .\;\,\, .\\
			\qquad\quad\!\underline{.\;\, A\;\, .\;\, .}\\
			\qquad\qquad\quad\! .\;\; .\;\; .\;\; .\\
			\qquad\qquad\quad\! \underline{.\;\; .\;\; .\;\; .}\\
			\qquad\qquad\qquad\quad\; 0
			\end{matrix}
			</math>

			However, Feynman was not the author of this particular puzzle since the same skeleton division <ref name=zero2>{{MathWorld \| urlname=SkeletonDivision \| title=Skeleton Division}}</ref> had been previously proposed as problem E217 in the May 1936 issue of the [[American Mathematical Monthly]] by W. F. Cheney, Jr. and its solution by M. J. Turner was later published in the February 1937 issue of the same journal,<ref name=zero3>{{cite journal
			\| author = W. F. Cheney, Jr.
			\| title = Problems for Solution: E211-E217
			\| journal = [[American Mathematical Monthly]]
			\| volume = 43
			\| issue = 5
			\| year = 1936
			\| pages = 304–305
			\| doi = 10.2307/2301207
			\| jstor = 2301207
			\| publisher = Mathematical Association of America}} [http://links.jstor.org/sici?sici=0002-9890(193702)44%3A2%3C105%3AE%3E2.0.CO%3B2-H Solutions] by W. F. Cheney, Jr. and M. J. Turner (among other solvers but there is no mention of R. P. Feynman), Vol. 44, No. 2 (Feb., 1937), pp. 105-106.</ref> long before Richard Feynman's letter.

			==References==
			<references/>

			==External links==
			*[http://problemcorner.org:591/problemcorner.org/FMPro?-db=problems.fp5&-format=revealcomments.html&-lay=all&ProblemName=AMM&ProblemName=E217&-recid=36005&-find= AMM E217 by W. F. Cheney, Jr.]
			*[http://dailyfeynmanlongdivisionpuzzles.blogspot.com/ Daily Feynman Long Division Puzzles]
			*[http://wiki.keithl.com/?FeynmanPuzzle FeynmanPuzzle - Kwiki]

			[[Category:Puzzles]]
			[[Category:Richard Feynman]]

en>David Eppstein: /* References */ not really a stub

2012-08-27T06:47:34Z

References: not really a stub

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Friends contact him Royal Seyler. One of my preferred hobbies is tenting and now I'm attempting to earn money with it. I've always cherished living in Idaho. Interviewing is what I do in my day job.<br><br>my web-site; [http://www.sharkz-Fifa.de/index.php?mod=users&action=view&id=10274 www.sharkz-Fifa.de]

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