| dc.contributor.advisor | 蔡炎龍 | zh_TW |
| dc.contributor.author (Authors) | 黃馨儀 | zh_TW |
| dc.creator (作者) | 黃馨儀 | zh_TW |
| dc.date (日期) | 2010 | en_US |
| dc.date.accessioned | 4-Sep-2013 15:16:08 (UTC+8) | - |
| dc.date.available | 4-Sep-2013 15:16:08 (UTC+8) | - |
| dc.date.issued (上傳時間) | 4-Sep-2013 15:16:08 (UTC+8) | - |
| dc.identifier (Other Identifiers) | G0097972011 | en_US |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/60084 | - |
| dc.description (描述) | 碩士 | zh_TW |
| dc.description (描述) | 國立政治大學 | zh_TW |
| dc.description (描述) | 應用數學系數學教學碩士在職專班 | zh_TW |
| dc.description (描述) | 97972011 | zh_TW |
| dc.description (描述) | 99 | zh_TW |
| dc.description.abstract (摘要) | 本篇文章主要研究熱帶幾何之圓錐曲線，即二元二次多項式""根``的圖形。在文章中，我們以二元二次多項式係數關係做曲線的分類，歸納出20種熱帶圓錐曲線圖形，並證明此為完整的熱帶圓錐曲線之分類。然後，我們進一步討論如何調整二元二次多項式係數使圖形平移。最後，提出以熱帶直線輔助熱帶圓錐曲線快速作圖的方式。 | zh_TW |
| dc.description.abstract (摘要) | The purpose of the present study is to investigate conics -the graphs of the ""roots`` of quadratic polynomial- in tropical geometry. First, we induct and classify twenty types of tropical conics based on the relation between the coefficients and roots in quadratic polynomial. Second, evidences are provided to prove the classification thorough and intact. Then, we further discuss how to modify the quadratic polynomial in order to translate the graphs. Finally, suggestion about how to use tropical line to assist the graphing of tropical conics more efficiently is provided. | en_US |
| dc.description.tableofcontents | 中文摘要 i英文摘要 ii第一章 緒論 1~2第二章 熱帶幾何簡介 3~5第三章 熱帶多項式 6~8第四章 熱帶多項式的""根`` 9~13 第五章 熱帶圓錐曲線 14~44第六章 熱帶圓錐曲線的作圖方式 45~50第七章 結論 51參考文獻 52 | zh_TW |
| dc.format.extent | 4967734 bytes | - |
| dc.format.mimetype | application/pdf | - |
| dc.language.iso | en_US | - |
| dc.source.uri (資料來源) | http://thesis.lib.nccu.edu.tw/record/#G0097972011 | en_US |
| dc.subject (關鍵詞) | 熱帶幾何 | zh_TW |
| dc.subject (關鍵詞) | 熱帶圓錐曲線 | zh_TW |
| dc.subject (關鍵詞) | 二元二次多項式 | zh_TW |
| dc.subject (關鍵詞) | 熱帶直線 | zh_TW |
| dc.title (題名) | 熱帶圓錐曲線之研究 | zh_TW |
| dc.title (題名) | On Tropical Conics | en_US |
| dc.type (資料類型) | thesis | en |
| dc.relation.reference (參考文獻) | Kasie G.Farlow. Max-plus algebra. Master`s thesis,Blacksburg,Virginia,2009.S. Gao and A. Lauder. Decomposition of polytopes and polynomials. Discrete and Computational Geometry,26:89-94,2001.Andreas Gathmann. Tropical algebraic geometry. Jahresber. Deutsch. Math.-Verein.,108(1):3-32,2006.Grigory Mikhalkin. Tropical geometry and its applications. In International Congress of Mathematicians. Vol. II,pages 827-852. Eur. Math. Soc.,Zurich,2006.Jurgen Richter-Gebert, Brend Sturmfels,and Thorsten Theovald. First steps in tropical geometry. In Idempotent mathematics and mathematical physics,volume 377 of Contemp.Math.,pages 289-317. Amer. Math. Soc.,Providence,RI,2005. | zh_TW |
