% Encoding: UTF-8
%% This BibTeX bibliography file was created using BibDesk.
%% http://bibdesk.sourceforge.net/


%% Created for Guava at 2014-06-17 07:36:38 +0800 


%% Saved with string encoding Unicode (UTF-8) 



@misc{bennig1988atomic,
	Author = {Bennig, G.K.},
	Date-Added = {2012-09-14 15:02:51 +0800},
	Date-Modified = {2012-09-14 15:02:51 +0800},
	Month = feb # {~9},
	Note = {US Patent 4,724,318},
	Publisher = {Google Patents},
	Title = {Atomic force microscope and method for imaging surfaces with atomic resolution},
	Year = {1988}}

@book{kittel1976introduction,
	Author = {Kittel, C. and McEuen, P.},
	Date-Added = {2012-09-14 15:01:59 +0800},
	Date-Modified = {2012-09-14 15:01:59 +0800},
	Publisher = {Wiley New York},
	Title = {Introduction to solid state physics},
	Volume = {7},
	Year = {1976}}

@book{maier2007plasmonics,
	Author = {Maier, S.A.},
	Date-Added = {2012-09-14 15:01:45 +0800},
	Date-Modified = {2012-09-14 15:01:45 +0800},
	Publisher = {Springer Verlag},
	Title = {Plasmonics: fundamentals and applications},
	Year = {2007}}

@article{2014arXiv1405.0115P,
	Adsnote = {Provided by the SAO/NASA Astrophysics Data System},
	Adsurl = {http://adsabs.harvard.edu/abs/2014arXiv1405.0115P},
	Archiveprefix = {arXiv},
	Author = {{Perri}, T. and {Rowen}, L.},
	Date-Added = {2014-05-07 08:14:51 +0000},
	Date-Modified = {2014-05-07 08:14:51 +0000},
	Eprint = {1405.0115},
	Journal = {ArXiv e-prints},
	Keywords = {Mathematics - Rings and Algebras, Mathematics - Algebraic Geometry},
	Month = may,
	Primaryclass = {math.RA},
	Title = {{Kernels in tropical geometry}},
	Year = {2014}}

@book{raether1988surface,
	Author = {Raether, H.},
	Date-Added = {2012-09-14 15:02:26 +0800},
	Date-Modified = {2012-09-14 15:02:26 +0800},
	Publisher = {Springer-Verlag Berlin},
	Title = {Surface plasmons},
	Year = {1988}}

@Misc{Tsai2011,
  author    = {Yen-lung Tsai},
  title     = {Working with Tropical Meromorphic Functions of One Variable},
  year      = {2011},
  eprint    = {arXiv:1101.2703},
  owner     = {Guava},
  timestamp = {2014.05.08},
}

@misc{math/0411504,
	Author = {Yen-lung Tsai and Eugene Z. Xia},
	Date-Added = {2014-05-07 08:28:05 +0000},
	Date-Modified = {2014-05-07 08:28:05 +0000},
	Eprint = {arXiv:math/0411504},
	Title = {Non-abelian Local Invariant Cycles},
	Year = {2004}}

@article{von1938elektronen,
	Author = {Von Ardenne, M.},
	Date-Added = {2012-09-14 15:04:29 +0800},
	Date-Modified = {2012-09-14 15:04:29 +0800},
	Journal = {Zeitschrift f{\"u}r Physik A Hadrons and Nuclei},
	Number = {9},
	Pages = {553--572},
	Publisher = {Springer},
	Title = {Das Elektronen-Rastermikroskop},
	Volume = {109},
	Year = {1938}}

@Book{芭樂2014,
  title         = {芭樂有限體},
  publisher     = {芭樂出版社},
  year          = {2014},
  author        = {陳芭樂},
  note          = {111},
  date-added    = {2014-04-13 16:56:29 +0000},
  date-modified = {2014-06-16 23:36:16 +0000},
}

@Article{2019arXiv190802803C,
  author        = {{Chen}, Nathan and {Stapleton}, David},
  title         = {{Fano hypersurfaces with arbitrarily large degrees of irrationality}},
  journal       = {arXiv e-prints},
  year          = {2019},
  pages         = {arXiv:1908.02803},
  month         = {Aug},
  adsnote       = {Provided by the SAO/NASA Astrophysics Data System},
  adsurl        = {https://ui.adsabs.harvard.edu/abs/2019arXiv190802803C},
  archiveprefix = {arXiv},
  eid           = {arXiv:1908.02803},
  eprint        = {1908.02803},
  keywords      = {Mathematics - Algebraic Geometry, 14E05, 14J45},
  primaryclass  = {math.AG},
}

@Article{Yamagishi2019,
  author        = {{Yamagishi}, Ryo},
  title         = {{Four-dimensional conical symplectic hypersurfaces}},
  journal       = {arXiv e-prints},
  year          = {2019},
  pages         = {arXiv:1908.00684},
  month         = {Aug},
  adsnote       = {Provided by the SAO/NASA Astrophysics Data System},
  adsurl        = {https://ui.adsabs.harvard.edu/abs/2019arXiv190800684Y},
  archiveprefix = {arXiv},
  eid           = {arXiv:1908.00684},
  eprint        = {1908.00684},
  keywords      = {Mathematics - Algebraic Geometry},
  primaryclass  = {math.AG},
}

@PhdThesis{Hsu2019,
  author     = {許嘉宏},
  title      = {深度學習於國畫主題辨識之應用},
  school     = {國立政治大學},
  year       = {2019},
  address    = {台北市},
  abstract   = {本篇文章主要使用卷積神經網路來進行圖像辨識，資料來源用台北故宮 博物院線上資料庫，其中圖像收藏量三萬筆，本篇將範圍縮小至畫軸的部 分，總計有 4 千筆，因為每張圖像有主要主題跟次要主題，無法直接用卷 積神經網路來分類。所以先利用 SLIC 演算法將圖像分割，再來進行標籤及 訓練模型。最後如有新的作品要進行辨識，也進行同樣分割，用模型辨識 後，再統整結果得到此作品有哪些主題性。
In this paper, we want to recognize one image with multiple genres. We collected data from National Palace Museun. If we just use traditional CNN to recognize it, we only get one genre with one image. Hence, we segment image with SLIC algorithm. It can segment image into fixed size with similar range, then we can use them to train the model. After training, if we get the new image, we can use SILC algorithm with same parameter and put it in the model. Then we can recognize this new image with multiple genres.},
  journal    = {應用數學系},
  pages      = {65},
  refid      = {107NCCU5507006},
  translator = {Hsu, Chia-Hung},
  url        = {http://ndltd.ncl.edu.tw/cgi-bin/gs32/gsweb.cgi?o=dnclcdr&s=id=%22107NCCU5507006%22.&searchmode=basic},
  volume     = {碩士},
}

@PhdThesis{chenwei2011,
  author     = {陳振偉},
  title      = {二維平滑熱帶環面法諾曲體之研究},
  school     = {國立政治大學},
  year       = {2011},
  address    = {台北市},
  abstract   = {這篇論文裡，我們研究熱帶環面曲體，尤其是熱帶環面法諾曲體。如同古典代數幾何裡的情況一樣，要建構熱帶環面曲體，我們先從扇型開始建構。然而在某些結構裡沒辦法有熱帶化的對應，因此我們需要選一個適當的定義，這個定義必需可看成是古典情況類推而來的。在我們的論文中，使用我們認為合適的定義，計算所有平滑二維熱帶環面法諾曲體的情況，結果也證實非常類似古典的情形。
In this thesis, we survey and study tropical toric varieties with focus on tropical toric Fano varieties. To construct tropical toric varieties, we start with fans, just like the situation in classical algebraic geometry. However, some constructions does not make sense in tropical settings. Therefore, we need to choose a reasonable definition which give an analogue of a classical toric variety. In the end of this paper, we use the definition we choose, and explicitly calculate all smooth two-dimensional tropical toric Fano varieties which we found are very similar to classical cases.},
  journal    = {應用數學系},
  pages      = {98},
  refid      = {100NCCU5507071},
  translator = {Chen, Chen Wei},
  url        = {https://hdl.handle.net/11296/f8v4n8},
  volume     = {碩士},
}

@Article{Mikhalkin2005,
  author     = {Mikhalkin, Grigory},
  title      = {Enumerative tropical algebraic geometry in {$\Bbb R^2$}},
  journal    = {J. Amer. Math. Soc.},
  year       = {2005},
  volume     = {18},
  number     = {2},
  pages      = {313--377},
  issn       = {0894-0347},
  doi        = {10.1090/S0894-0347-05-00477-7},
  fjournal   = {Journal of the American Mathematical Society},
  mrclass    = {14N10 (05A99 14N35 52B70)},
  mrnumber   = {2137980},
  mrreviewer = {Charles D. Cadman},
  url        = {https://doi.org/10.1090/S0894-0347-05-00477-7},
}

@Book{Maclagan2015,
  title      = {Introduction to tropical geometry},
  publisher  = {American Mathematical Society, Providence, RI},
  year       = {2015},
  author     = {Maclagan, Diane and Sturmfels, Bernd},
  volume     = {161},
  series     = {Graduate Studies in Mathematics},
  isbn       = {978-0-8218-5198-2},
  mrclass    = {14T05 (05B35 14M25 15A80 52B70)},
  mrnumber   = {3287221},
  mrreviewer = {Patrick Popescu-Pampu},
  pages      = {xii+363},
}

@InCollection{Richter-Gebert2005,
  author     = {Richter-Gebert, J\"{u}rgen and Sturmfels, Bernd and Theobald, Thorsten},
  title      = {First steps in tropical geometry},
  booktitle  = {Idempotent mathematics and mathematical physics},
  publisher  = {Amer. Math. Soc., Providence, RI},
  year       = {2005},
  volume     = {377},
  series     = {Contemp. Math.},
  pages      = {289--317},
  doi        = {10.1090/conm/377/06998},
  mrclass    = {14P99 (52B70 68W30)},
  mrnumber   = {2149011},
  mrreviewer = {Eugenii Shustin},
  url        = {https://doi.org/10.1090/conm/377/06998},
}

@InCollection{Mikhalkin2006,
  author     = {Mikhalkin, Grigory},
  title      = {Tropical geometry and its applications},
  booktitle  = {International {C}ongress of {M}athematicians. {V}ol. {II}},
  publisher  = {Eur. Math. Soc., Z\"{u}rich},
  year       = {2006},
  pages      = {827--852},
  mrclass    = {14P99 (14N10 14N35 52B20)},
  mrnumber   = {2275625},
  mrreviewer = {Jean-Yves Welschinger},
}

@Book{Itenberg2007,
  title      = {Tropical algebraic geometry},
  publisher  = {Birkh\"{a}user Verlag, Basel},
  year       = {2007},
  author     = {Itenberg, Ilia and Mikhalkin, Grigory and Shustin, Eugenii},
  volume     = {35},
  series     = {Oberwolfach Seminars},
  isbn       = {978-3-7643-8309-1; 3-7643-8309-7},
  mrclass    = {14P99 (14M25 14N10 14N35)},
  mrnumber   = {2292729},
  mrreviewer = {Susan J. Colley},
  pages      = {viii+103},
}

@InCollection{Mikhalkin2004,
  author     = {Mikhalkin, Grigory},
  title      = {Amoebas of algebraic varieties and tropical geometry},
  booktitle  = {Different faces of geometry},
  publisher  = {Kluwer/Plenum, New York},
  year       = {2004},
  volume     = {3},
  series     = {Int. Math. Ser. (N. Y.)},
  pages      = {257--300},
  doi        = {10.1007/0-306-48658-X_6},
  mrclass    = {14P25 (14N10 14N35)},
  mrnumber   = {2102998},
  mrreviewer = {Jean-Yves Welschinger},
  url        = {https://doi.org/10.1007/0-306-48658-X_6},
}

@Article{Gathmann2006,
  author     = {Gathmann, Andreas},
  title      = {Tropical algebraic geometry},
  journal    = {Jahresber. Deutsch. Math.-Verein.},
  year       = {2006},
  volume     = {108},
  number     = {1},
  pages      = {3--32},
  issn       = {0012-0456},
  fjournal   = {Jahresbericht der Deutschen Mathematiker-Vereinigung},
  mrclass    = {14N10 (14A99 14P99)},
  mrnumber   = {2219706},
  mrreviewer = {Susan J. Colley},
}

@Article{Gathmann2008,
  author     = {Gathmann, Andreas and Kerber, Michael},
  title      = {A {R}iemann-{R}och theorem in tropical geometry},
  journal    = {Math. Z.},
  year       = {2008},
  volume     = {259},
  number     = {1},
  pages      = {217--230},
  issn       = {0025-5874},
  doi        = {10.1007/s00209-007-0222-4},
  fjournal   = {Mathematische Zeitschrift},
  mrclass    = {14C40 (14H99 51M20)},
  mrnumber   = {2377750},
  mrreviewer = {Joaquim Ro\'{e}},
  url        = {https://doi.org/10.1007/s00209-007-0222-4},
}

@Book{Itenberg2009,
  title     = {Tropical algebraic geometry},
  publisher = {Birkh\"{a}user Verlag, Basel},
  year      = {2009},
  author    = {Itenberg, Ilia and Mikhalkin, Grigory and Shustin, Eugenii},
  volume    = {35},
  series    = {Oberwolfach Seminars},
  edition   = {Second},
  isbn      = {978-3-0346-0047-7},
  doi       = {10.1007/978-3-0346-0048-4},
  mrclass   = {14T05 (14M25 14N10 14N35)},
  mrnumber  = {2508011},
  pages     = {x+104},
  url       = {https://doi.org/10.1007/978-3-0346-0048-4},
}

@Book{Speyer2005,
  title     = {Tropical geometry},
  publisher = {ProQuest LLC, Ann Arbor, MI},
  year      = {2005},
  author    = {Speyer, David E.},
  isbn      = {978-0542-29064-0},
  note      = {Thesis (Ph.D.)--University of California, Berkeley},
  mrclass   = {Thesis},
  mrnumber  = {2707751},
  pages     = {183},
  url       = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3187158},
}

@Article{Tsai2011a,
  author        = {{Tsai}, Yen-lung},
  title         = {{Working with Tropical Meromorphic Functions of One Variable}},
  journal       = {arXiv e-prints},
  year          = {2011},
  pages         = {arXiv:1101.2703},
  month         = {Jan},
  __markedentry = {[mathoffice:]},
  adsnote       = {Provided by the SAO/NASA Astrophysics Data System},
  adsurl        = {https://ui.adsabs.harvard.edu/abs/2011arXiv1101.2703T},
  archiveprefix = {arXiv},
  eid           = {arXiv:1101.2703},
  eprint        = {1101.2703},
  keywords      = {Mathematics - Algebraic Geometry, Mathematics - Combinatorics, 14A10, 52B20, 30C15},
  primaryclass  = {math.AG},
}

@PhdThesis{王珮紋,
  author        = {王珮紋},
  title         = {搬硬幣遊戲與離散型熱帶因子等價關係},
  school        = {國立政治大學},
  address       = {台北市},
  __markedentry = {[mathoffice:6]},
  abstract      = {在這篇論文裡，我們研究Baker-Norine的搬硬幣遊戲，並且把這個遊戲應用在離散型的熱帶因子上。特別地，我們去探討這個遊戲與等價熱帶因子之間的關係。最後我們證明了下面的定理:若$D, E$為熱帶曲線$\Gamma$上的離散型熱帶因子, 而$\overline{D}$, $\overline{E}$分別代表因子$D,E$在搬硬幣遊戲時的狀態，因子$D$與$E$等價,若且為若 $\overline{D}$可經搬硬幣遊戲變成$\overline{E}$。
In this thesis, we study Baker-Norine's chip-firing game, and apply it to discrete tropical divisors. In particularly, we discuss the relationship between this game and the equivalence of  divisors.},
  journal       = {應用數學系數學教學碩士在職專班},
  pages         = {52},
  refid         = {102NCCU5479009},
  translator    = {Wang, Pei Wen},
  url           = {https://hdl.handle.net/11296/9k2rrd},
  volume        = {碩士},
}

@PhdThesis{白瓊如,
  author        = {白瓊如},
  title         = {離散型熱帶黎曼-羅赫定理},
  school        = {國立政治大學},
  address       = {台北市},
  __markedentry = {[mathoffice:6]},
  abstract      = {本篇論文主要是在討論熱帶曲線上離散型的因子的秩，我 們發現直接由定義計算因子的秩時非常繁複，因此利用代數幾何中 的“黎曼-羅赫定理”(The Riemann-Roch Theorem)，藉由圖形的虧 格計算熱帶曲線因子的秩，大幅的簡化了我們在離散型熱帶曲線因 子秩的計算。},
  journal       = {應用數學系數學教學碩士在職專班},
  pages         = {37},
  refid         = {102NCCU5479004},
  url           = {https://hdl.handle.net/11296/bp2xxw},
  volume        = {碩士},
}

@PhdThesis{江泰緯,
  author        = {江泰緯},
  title         = {熱帶直線建構二次及三次熱帶曲線之研究},
  school        = {國立政治大學},
  address       = {台北市},
  __markedentry = {[mathoffice:6]},
  abstract      = {在這篇論文裡， 我們找到了一個方法來反推出對應到某個熱帶曲線的熱帶 多項式。在給定一個二次或三次的熱帶曲線之後， 我們利用熱帶直線來找出 此熱帶曲線的多項式。再來， 若給定一個二次或三次的牛頓細分(Newton subdivision) ， 我們也能找出能對應到它的熱帶多項式。
In this thesis, we develop an algorithm to recover tropical polynomials from plane tropical curves of degree two and three. We use tropical lines to approach a given tropical curve. Furthermore, we also give another algorithm to recover tropical polynomials from a (maximal) Newton subdivision of degree two and three.},
  journal       = {應用數學研究所},
  pages         = {55},
  refid         = {101NCCU5507079},
  url           = {https://hdl.handle.net/11296/46ufyb},
  volume        = {碩士},
}

@Comment{jabref-meta: databaseType:bibtex;}
