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Pythagoras0 (토론 | 기여) |
Pythagoras0 (토론 | 기여) |
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| 20번째 줄: | 20번째 줄: | ||
==메모== | ==메모== | ||
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* 1986 Robbins-Rumsey lambda determinant | * 1986 Robbins-Rumsey lambda determinant | ||
* Dodgson’s condensation method for computing determinants has led to the notion of alternating sign matrices and to their remarkable combinatorics. These topics have connections with the 6-vertex model in physics and statistical mechanics and with much recent work on graphical condensation, group characters, and a whole lot more. | * Dodgson’s condensation method for computing determinants has led to the notion of alternating sign matrices and to their remarkable combinatorics. These topics have connections with the 6-vertex model in physics and statistical mechanics and with much recent work on graphical condensation, group characters, and a whole lot more. | ||
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| 32번째 줄: | 27번째 줄: | ||
==관련된 항목들== | ==관련된 항목들== | ||
* [[행렬식]] | * [[행렬식]] | ||
| − | + | * [[데스나노-자코비 항등식]] | |
| 42번째 줄: | 37번째 줄: | ||
| − | + | ==수학용어번역== | |
| + | * {{학술용어집|url=condense}} | ||
| + | * {{forvo|url=Dodgson}} | ||
| 55번째 줄: | 52번째 줄: | ||
==리뷰논문, 에세이, 강의노트== | ==리뷰논문, 에세이, 강의노트== | ||
| + | * Hone, Andrew N. W. 2006. “Dodgson Condensation, Alternating Signs and Square Ice.” Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 364 (1849): 3183–3198. doi:10.1098/rsta.2006.1887. | ||
* Abeles, Francine F. 2008. “Dodgson Condensation: The Historical and Mathematical Development of an Experimental Method.” Linear Algebra and Its Applications 429 (2-3): 429–438. doi:10.1016/j.laa.2007.11.022. | * Abeles, Francine F. 2008. “Dodgson Condensation: The Historical and Mathematical Development of an Experimental Method.” Linear Algebra and Its Applications 429 (2-3): 429–438. doi:10.1016/j.laa.2007.11.022. | ||
| − | * [http:// | + | * [http://thalesandfriends.org/wp-content/uploads/2012/03/Telescoping.pdf Lewis Carroll and His Telescoping Determinants] |
2013년 11월 22일 (금) 07:10 판
개요
- 행렬식을 계산하는 방법의 하나
- nxn 행렬의 행렬식을 2x2 행렬의 행렬식을 반복적으로 계산하여 얻음
역사
메모
- 1986 Robbins-Rumsey lambda determinant
- Dodgson’s condensation method for computing determinants has led to the notion of alternating sign matrices and to their remarkable combinatorics. These topics have connections with the 6-vertex model in physics and statistical mechanics and with much recent work on graphical condensation, group characters, and a whole lot more.
관련된 항목들
매스매티카 파일 및 계산 리소스
수학용어번역
사전 형태의 자료
리뷰논문, 에세이, 강의노트
- Hone, Andrew N. W. 2006. “Dodgson Condensation, Alternating Signs and Square Ice.” Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 364 (1849): 3183–3198. doi:10.1098/rsta.2006.1887.
- Abeles, Francine F. 2008. “Dodgson Condensation: The Historical and Mathematical Development of an Experimental Method.” Linear Algebra and Its Applications 429 (2-3): 429–438. doi:10.1016/j.laa.2007.11.022.
- Lewis Carroll and His Telescoping Determinants
관련논문
- Berliner, Adam, and Richard A. Brualdi. 2008. “A Combinatorial Proof of the Dodgson/Muir Determinantal Identity.” International Journal of Information & Systems Sciences 4 (1): 1–7.
- Zeilberger, Doron. 1997. “Dodgson’s Determinant-Evaluation Rule Proved by Two-Timing Men and Women.” Electronic Journal of Combinatorics 4 (2): Research Paper 22, approx. 2 pp. (electronic).