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Please use this identifier to cite or link to this item: https://ah.lib.nccu.edu.tw/handle/140.119/60084
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dc.contributor.advisor蔡炎龍zh_TW
dc.contributor.author黃馨儀zh_TW
dc.creator黃馨儀zh_TW
dc.date2010en_US
dc.date.accessioned2013-09-04T07:16:08Z-
dc.date.available2013-09-04T07:16:08Z-
dc.date.issued2013-09-04T07:16:08Z-
dc.identifierG0097972011en_US
dc.identifier.urihttp://nccur.lib.nccu.edu.tw/handle/140.119/60084-
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.description97972011zh_TW
dc.description99zh_TW
dc.description.abstract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.abstractThe 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\n英文摘要 ii\n第一章 緒論 1~2\n第二章 熱帶幾何簡介 3~5\n第三章 熱帶多項式 6~8\n第四章 熱帶多項式的""根`` 9~13 \n第五章 熱帶圓錐曲線 14~44\n第六章 熱帶圓錐曲線的作圖方式 45~50\n第七章 結論 51\n參考文獻 52zh_TW
dc.format.extent4967734 bytes-
dc.format.mimetypeapplication/pdf-
dc.language.isoen_US-
dc.source.urihttp://thesis.lib.nccu.edu.tw/record/#G0097972011en_US
dc.subject熱帶幾何zh_TW
dc.subject熱帶圓錐曲線zh_TW
dc.subject二元二次多項式zh_TW
dc.subject熱帶直線zh_TW
dc.title熱帶圓錐曲線之研究zh_TW
dc.titleOn Tropical Conicsen_US
dc.typethesisen
dc.relation.referenceKasie G.Farlow. Max-plus algebra. Master`s thesis,Blacksburg,Virginia,2009.\nS. Gao and A. Lauder. Decomposition of polytopes and polynomials. Discrete and Computational Geometry,26:89-94,2001.\nAndreas Gathmann. Tropical algebraic geometry. Jahresber. Deutsch. Math.-Verein.,108(1):3-32,2006.\nGrigory Mikhalkin. Tropical geometry and its applications. In International Congress of Mathematicians. Vol. II,pages 827-852. Eur. Math. Soc.,Zurich,2006.\nJurgen 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
item.openairetypethesis-
item.languageiso639-1en_US-
item.cerifentitytypePublications-
item.grantfulltextopen-
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item.openairecristypehttp://purl.org/coar/resource_type/c_46ec-
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