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The Kruskal Count

Lagarias, Jeffrey C. and Rains, Eric and Vanderbei, Robert J. (2009) The Kruskal Count. In: The Mathematics of Preference, Choice and Order: Essays in Honor of Peter C. Fishburn. Springer , Berlin, pp. 371-391. ISBN 978-3-540-79127-0. https://resolver.caltech.edu/CaltechAUTHORS:20170925-112254500

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Abstract

The Kruskal Count is a card trick invented by Martin D. Kruskal (who is well known for his work on solitons) which is described in Fulves and Gardner (1975) and Gardner (1978, 1988). In this card trick a magician “guesses” one card in a deck of cards which is determined by a subject using a special counting procedure that we call Kruskal's counting procedure. The magician has a strategy which with high probability will identify the correct card, explained below. Kruskal's counting procedure goes as follows. The subject shuffles a deck of cards as many times as he likes. He mentally chooses a (secret) number between one and ten. The subject turns the cards of the deck face up one at a time, slowly, and places them in a pile. As he turns up each card he decreases his secret number by one and he continues to count this way till he reaches zero. The card just turned up at the point when the count reaches zero is called the first key card and its value is called the first key number. Here the value of an Ace is one, face cards are assigned the value five, and all other cards take their numerical value. The subject now starts the count over, using the first key number to determine where to stop the count at the second key card. He continues in this fashion, obtaining successive key cards until the deck is exhausted. The last key card encountered, which we call the tapped card, is the card to be “guessed” by the magician.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1007/978-3-540-79128-7_23DOIArticle
https://arxiv.org/abs/math/0110143arXivDiscussion Paper
Additional Information:© 2009 Springer-Verlag Berlin Heidelberg.
Record Number:CaltechAUTHORS:20170925-112254500
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170925-112254500
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:81812
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:25 Sep 2017 20:33
Last Modified:03 Oct 2019 18:47

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