Entropy as a measure of uncertainty in the perfect faro shuffle / (Record no. 155)

MARC details
000 -LEADER
fixed length control field 01907nam a2200253 4500
001 - CONTROL NUMBER
control field UPMIN-00000009076
003 - CONTROL NUMBER IDENTIFIER
control field UPMIN
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20221122171251.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 221122b |||||||| |||| 00| 0 eng d
040 ## - CATALOGING SOURCE
Original cataloging agency DLC
Transcribing agency UPMin
Modifying agency upmin
041 ## - LANGUAGE CODE
Language code of text/sound track or separate title eng
090 ## - LOCALLY ASSIGNED LC-TYPE CALL NUMBER (OCLC); LOCAL CALL NUMBER (RLIN)
Classification number (OCLC) (R) ; Classification number, CALL (RLIN) (NR) LG993.5 2001
Local cutter number (OCLC) ; Book number/undivided call number, CALL (RLIN) A64 A45
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Anonuevo, Janice J.
245 00 - TITLE STATEMENT
Title Entropy as a measure of uncertainty in the perfect faro shuffle /
Statement of responsibility, etc. Janice J. Anonuevo
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Date of publication, distribution, etc. 2001
300 ## - PHYSICAL DESCRIPTION
Extent 15 leaves
500 ## - GENERAL NOTE
General note College of Science and Mathematics
502 ## - DISSERTATION NOTE
Dissertation note Thesis (BS Applied Mathematics) -- University of the Philippines Mindanao, 2001
520 ## - SUMMARY, ETC.
Summary, etc. This 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 ## - INDEX TERM--CURRICULUM OBJECTIVE
Main curriculum objective Undergraduate Thesis
Curriculum code AMAT200,
Source of term or code BSAM
905 ## - LOCAL DATA ELEMENT E, LDE (RLIN)
a UP
905 ## - LOCAL DATA ELEMENT E, LDE (RLIN)
a Fi
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Library of Congress Classification
Koha item type Thesis
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Status Collection Home library Current library Shelving location Date acquired Source of acquisition Accession Number Total Checkouts Full call number Barcode Date last seen Koha item type
    Library of Congress Classification   Not For Loan Preservation Copy University Library University Library Archives and Records 2001-08-07 donation UAR-T-gd078   LG993.5 2001 A64 A45 3UPML00020962 2022-09-21 Thesis
    Library of Congress Classification   Not For Loan Room-Use Only College of Science and Mathematics University Library General Reference 2003-06-04 donation CSM-T-gd688   LG993.5 2001 A64 A45 3UPML00010941 2022-09-21 Thesis
 
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