NDLTD Global ETD Search
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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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擴展型熱帶半環及熱帶矩陣之研究 / On the Extended Tropical Semiring and Tropical Matrix Algebra

徐昌祺 Unknown Date (has links)
熱帶幾何簡單的說是以熱帶半環為帶數結構所定義出的幾何學.如古典幾何學一樣,許多情況我們必須熟悉熱帶幾何中線性代數的性質.本篇論文是探討依熱帶半環上矩陣相關的問題.我們發現許多傳統矩陣有的性質在熱帶在熱帶矩陣並沒有相通的性質,但如果運用Izhakian定義的擴展型熱帶半環,許多定理就可以有類似傳統矩陣的結果.我們將介紹Izhakian的擴展型熱帶半環,定義擴展型熱帶矩陣,討論其和傳統矩陣,標準熱帶矩陣之差異,並探討其基本性質.
熱帶矩陣

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