點燈遊戲計算與性質之研究
| dc.contributor | 郭君逸 | zh_TW |
| dc.contributor | Guo, Jun-Yi | en_US |
| dc.contributor.author | 何昌翰 | zh_TW |
| dc.contributor.author | Ho, Chang-Han | en_US |
| dc.date.accessioned | 2019-09-05T01:06:42Z | |
| dc.date.available | 2018-07-31 | |
| dc.date.available | 2019-09-05T01:06:42Z | |
| dc.date.issued | 2018 | |
| dc.description.abstract | 無中文摘要 | zh_TW |
| dc.description.abstract | Lights out is a portable electronic game launched in 1995. Now it is divided into sigma-game and sigma^+-game in many literatures. In this thesis, the main purpose is to simplify the calculation of sigma-game and sigma^+-game. It was going to solve a set of equations to check whether the configuration is solvable and get its solution, but it must solve (mn)^2 variables. Lights-chasing is a method to decrease the numbers of variables to mn variables. Since traditional light-chasing method is not efficient and convenient, we give a new interpretation for light-chasing by Fibonacci polynomial and find its property, and then calculate their period in sigma-game and sigma^+-game in m x n grids respectively. | en_US |
| dc.description.sponsorship | 數學系 | zh_TW |
| dc.identifier | G060540007S | |
| dc.identifier.uri | http://etds.lib.ntnu.edu.tw/cgi-bin/gs32/gsweb.cgi?o=dstdcdr&s=id=%22G060540007S%22.&%22.id.& | |
| dc.identifier.uri | http://rportal.lib.ntnu.edu.tw:80/handle/20.500.12235/101582 | |
| dc.language | 英文 | |
| dc.subject | Fibonacci polynomail | zh_TW |
| dc.subject | lights out | zh_TW |
| dc.subject | Fibonacci polynomail | en_US |
| dc.subject | lights out | en_US |
| dc.title | 點燈遊戲計算與性質之研究 | zh_TW |
| dc.title | On sigma-game and sigma+-game | en_US |
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