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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/68921Full metadata record
| ???org.dspace.app.webui.jsptag.ItemTag.dcfield??? | Value | Language |
|---|---|---|
| dc.contributor.advisor | 王藹農 | |
| dc.contributor.author | Guan-Zhong Chen | en |
| dc.contributor.author | 陳冠中 | zh_TW |
| dc.date.accessioned | 2021-06-17T02:42:12Z | - |
| dc.date.available | 2019-08-25 | |
| dc.date.copyright | 2017-08-25 | |
| dc.date.issued | 2017 | |
| dc.date.submitted | 2017-08-16 | |
| dc.identifier.citation | [1] Takeshi Sasaki and Masaaki Yoshida, Surface Singularities Appeared in the Hyperbolic Schwarz Map for the Hypergeometric Equation, Vol. 283, 247-272 (2009).
[2] 張海潮, 三次多項式圖形的基本探討, 數學傳播 32 卷 1 期, pp. 54-59. [3] Viktor Prasolov and Yuri Solovyev, Elliptic Functions and Elliptic Integrals. ams, 1997. [4] Oleg N. Kirillov1 and Michael L. Overton Robust stability at the Swallowtail singularity, published: 03 December 2013, doi:10.3389/fphy.2013.00024. | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/68921 | - |
| dc.description.abstract | 本篇論文主要是要探討多項式函數的判別式，與判別式的圖形，藉由其圖形來暸解多項式的根的分佈情形，並說明幾個求解多項式判別式的方法。 | zh_TW |
| dc.description.abstract | In this paper, we will be discussing discriminants of polynomials as well as their graphs, using graphs of other functions to understand root distributions of polynomial functions. We will also explain a few methods to solve for polynomial discriminants. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-17T02:42:12Z (GMT). No. of bitstreams: 1 ntu-106-R02246013-1.pdf: 2718233 bytes, checksum: 97d718fcc0352182eeefa31c0b9a44c6 (MD5) Previous issue date: 2017 | en |
| dc.description.tableofcontents | 致謝 i
中文摘要 ii Abstract iii 1. Introduction 1 1.1. The method to obtain discriminant 1 2. Discriminant 3 2.1. Discriminant of a cubic polynomial 3 2.2.Discriminant of a quartic polynomial 7 3.Quintic and Sextic polynomial 13 3.1. Discriminant of a quintic polynomial 13 3.2. Discriminant of a sextic polynomial 18 References 28 | |
| dc.language.iso | en | |
| dc.subject | 判別式 | zh_TW |
| dc.subject | 圖形 | zh_TW |
| dc.subject | 多項式 | zh_TW |
| dc.subject | polynomial | en |
| dc.subject | discriminants | en |
| dc.subject | graph | en |
| dc.title | 探討多項式的判別式及其圖形的關係 | zh_TW |
| dc.title | Discussion of several polynomial discriminants and their graphs | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 105-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 張海潮,翁秉仁 | |
| dc.subject.keyword | 多項式,判別式,圖形, | zh_TW |
| dc.subject.keyword | polynomial,discriminants,graph, | en |
| dc.relation.page | 28 | |
| dc.identifier.doi | 10.6342/NTU201703303 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2017-08-16 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 應用數學科學研究所 | zh_TW |
| Appears in Collections: | 應用數學科學研究所 | |
Files in This Item:
| File | Size | Format | |
|---|---|---|---|
| ntu-106-1.pdf Restricted Access | 2.65 MB | Adobe PDF |
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