000			01907nam a2200253 4500
001			UPMIN-00000009076
003			UPMIN
005			20221122171251.0
008			221122b |||||||| |||| 00| 0 eng d
040			_aDLC _cUPMin _dupmin
041			_aeng
090			_aLG993.5 2001 _bA64 A45
100	1		_aAnonuevo, Janice J.
245	0	0	_aEntropy as a measure of uncertainty in the perfect faro shuffle / _cJanice J. Anonuevo
260			_c2001
300			_a15 leaves
500			_aCollege of Science and Mathematics
502			_aThesis (BS Applied Mathematics) -- University of the Philippines Mindanao, 2001
520			_aThis study aimed to measure the uncertainty in the two kinds of perfect faro shuffle, the in-shuffle and the out-shuffle. The method used to measure the uncertainty was entropy, which was formulated by Shannon, Wiener, and Fisher (1948 as cited by Trefethen and Trefethen, 1998). The result showed that, for the in-shuffle, as the number of cards involved in the shuffle increases, the number of states that the cards undergo also increases, thus the entropy, or the measured unpredictability, increases. The out-shuffle exhibited a more erratic behavior with the respect to the shuffle made. Nevertheless, it also showed that the unpredictability of the sequence depends on the number of shuffles required to return the cards to the original order. It was also observed that the in-shuffle was more unpredictable than the out-shuffle, based on their corresponding computed entropies. Measuring the uncertainty of sequences generated by the combination of in- and out-shuffles, different cuts of the deck, or odd quantities of cards and using a different, preferably local, measure uncertainty in determining unpredictability are probable extensions of this study.
658			_aUndergraduate Thesis _cAMAT200, _2BSAM
905			_aUP
905			_aFi
942			_2lcc _cTHESIS
999			_c155 _d155