Please use this identifier to cite or link to this item: https://ah.lib.nccu.edu.tw/handle/140.119/52771
DC FieldValueLanguage
dc.contributor.advisor李陽明教授zh_TW
dc.contributor.author張維格zh_TW
dc.creator張維格zh_TW
dc.date2011en_US
dc.date.accessioned2012-04-17T01:16:04Z-
dc.date.available2012-04-17T01:16:04Z-
dc.date.issued2012-04-17T01:16:04Z-
dc.identifierG0098972012en_US
dc.identifier.urihttp://nccur.lib.nccu.edu.tw/handle/140.119/52771-
dc.description碩士zh_TW
dc.description國立政治大學zh_TW
dc.description應用數學系數學教學碩士在職專班zh_TW
dc.description98972012zh_TW
dc.description100zh_TW
dc.description.abstract本篇論文的主題是藉由討論長度為n的四元數列中,控制一種(0)、兩種(0,1)、三種(0,1,2)數字出現偶數次(或奇數次)的個數,以較為簡潔的1對1且映成的對應算出其數量;而將此種對應推廣至長度為n的k元數列中,控制一種(0)、兩種(0,1)、三種(0,1,2)數字出現偶數次(或奇數次)的個數;更進一步猜測長度為n的k元數列中,控制t種數字(0,1,2,...(t-1))出現偶數次(或奇數次)的個數通式。zh_TW
dc.description.abstractThis paper uses bijective functions to obtain the number of quaternary sequences of length n with 0 or (0,1) or (0,1,2) being even and/or odd by establishing a system of linear equations and solving it using matrices.\nFinally,we generalize it to k-nary sequences of length n.en_US
dc.description.tableofcontents第一章 緒論………………………………………………………………………1\n第二章 雙射函數的建立…………………………………………………………3\n第三章 方程組的建立……………………………………………………………12\n第四章 矩陣解方程組……………………………………………………………19\n第五章 結論………………………………………………………………………25\n參考文獻……………………………………………………………………………26zh_TW
dc.language.isoen_US-
dc.source.urihttp://thesis.lib.nccu.edu.tw/record/#G0098972012en_US
dc.subject四元數列zh_TW
dc.subject雙射zh_TW
dc.title以雙射函數探討四元數列zh_TW
dc.titleA study of Bijective functions on quaternary sequencesen_US
dc.typethesisen
dc.relation.reference[1]Alan Tucker(1994),Applied Combinatorics(5th Edition),John Wiley & Sons Inc。zh_TW
dc.relation.reference[2]http://mathworld.wolfram.com/HammingCode.html。zh_TW
dc.relation.reference[3]漢明碼 http://zh.wikipedia.org/wiki/Hamming_code。zh_TW
dc.relation.reference[4]黃子嘉(2001),離散數學(上),鼎茂圖書出版有限公司。zh_TW
dc.relation.reference[5]黃子嘉(2001),離散數學(下),鼎茂圖書出版有限公司。zh_TW
dc.relation.reference[6]奇偶校驗位,維基百科。zh_TW
dc.relation.reference[7]中華民國身分證,維基百科。zh_TW
item.openairecristypehttp://purl.org/coar/resource_type/c_46ec-
item.languageiso639-1en_US-
item.grantfulltextopen-
item.openairetypethesis-
item.cerifentitytypePublications-
item.fulltextWith Fulltext-
Appears in Collections:學位論文
Files in This Item:
File SizeFormat
201201.pdf874.18 kBAdobe PDF2View/Open
Show simple item record

Google ScholarTM

Check


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.