"Degrees and exponents"의 두 판 사이의 차이

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imported>Pythagoras0
 
(사용자 2명의 중간 판 32개는 보이지 않습니다)
1번째 줄: 1번째 줄:
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<h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">introduction</h5>
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==introduction==
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* {{수학노트|url=콕세터_군의_차수와_지수_(degrees_and_exponents)}}
  
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*  eigenvalues of Cartan matrices<br>
 
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*  eigenvalues of incidence matrices of Dynkin diagram<br>
 
  
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[http://pythagoras0.springnote.com/pages/1938682/attachments/3170605 ]
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==related items==
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* [[Coxeter groups and reflection groups]]
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* [[Coxeter number and dual Coxeter number]]
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* [[Macdonald constant term conjecture]]
  
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<h5 style="line-height: 2em; margin: 0px;">Cartan matrix</h5>
 
  
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*  h : [[Coxeter number]]<br>
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[[분류:개인노트]]
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*  eigenvalue<br><math>4\sin^2(\frac{m_{i}\pi}{2h})</math><br>
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[[분류:Lie theory]]
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* <math>m_{i}</math> is called the exponents<br>
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[[분류:math and physics]]
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* <math>d_{i}=m_{i}+1</math> is called a degree<br>
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[[분류:math]]
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[[분류:migrate]]
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<h5 style="line-height: 2em; margin: 0px;">adjacency matrix</h5>
 
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*  h : Coxeter number<br>
 
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*  eigenvalue <math>2\cos(\pi l_n/h)</math><br>
 
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# Table[Simplify[2 Cos[Pi*l/5]], {l, 1, 4}]<br> Table[Simplify[4 Sin[Pi*l/10]^2], {l, 1, 4}]
 
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<h5 style="line-height: 2em; margin: 0px;">homological algebraic characterization</h5>
 
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For a s.s. Lie algebra L
 
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(a)H'(L) is a free super- commutative algebra with homogeneous generator in degrees 2m_1+1,\cdots,2m_l+1
 
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<h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">history</h5>
 
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* http://www.google.com/search?hl=en&tbs=tl:1&q=
 
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<h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">related items</h5>
 
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<h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">encyclopedia</h5>
 
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* http://ko.wikipedia.org/wiki/
 
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* http://en.wikipedia.org/wiki/Coxeter_number
 
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* http://en.wikipedia.org/wiki/
 
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* Princeton companion to mathematics([[2910610/attachments/2250873|Companion_to_Mathematics.pdf]])
 
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<h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">books</h5>
 
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* [[2010년 books and articles]]<br>
 
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* http://gigapedia.info/1/
 
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* http://gigapedia.info/1/
 
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* http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords=
 
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[[4909919|]]
 
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<h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">articles</h5>
 
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* [[2010년 books and articles|논문정리]]
 
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* http://www.ams.org/mathscinet
 
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* http://www.zentralblatt-math.org/zmath/en/
 
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* http://pythagoras0.springnote.com/
 
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* [http://math.berkeley.edu/%7Ereb/papers/index.html http://math.berkeley.edu/~reb/papers/index.html][http://www.ams.org/mathscinet ]
 
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* http://front.math.ucdavis.edu/search?a=&t=&c=&n=40&s=Listings&q=
 
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* http://www.ams.org/mathscinet/search/publications.html?pg4=AUCN&s4=&co4=AND&pg5=TI&s5=&co5=AND&pg6=PC&s6=&co6=AND&pg7=ALLF&co7=AND&Submit=Search&dr=all&yrop=eq&arg3=&yearRangeFirst=&yearRangeSecond=&pg8=ET&s8=All&s7=
 
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* http://dx.doi.org/
 
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<h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">question and answers(Math Overflow)</h5>
 
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* http://mathoverflow.net/search?q=
 
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* http://mathoverflow.net/search?q=
 
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<h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">blogs</h5>
 
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*  구글 블로그 검색<br>
 
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** http://blogsearch.google.com/blogsearch?q=
 
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** http://blogsearch.google.com/blogsearch?q=
 
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<h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">experts on the field</h5>
 
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* http://arxiv.org/
 
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<h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">links</h5>
 
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* [http://detexify.kirelabs.org/classify.html Detexify2 - LaTeX symbol classifier]
 
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* [http://pythagoras0.springnote.com/pages/1947378 수식표현 안내]
 
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* [http://www.research.att.com/%7Enjas/sequences/index.html The On-Line Encyclopedia of Integer Sequences]
 
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* http://functions.wolfram.com/
 
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2020년 11월 13일 (금) 11:11 기준 최신판

introduction


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