"로그볼록수열 (log concave sequence)"의 두 판 사이의 차이
둘러보기로 가기
검색하러 가기
Pythagoras0 (토론 | 기여) (→수학용어번역) |
Pythagoras0 (토론 | 기여) |
||
| (같은 사용자의 중간 판 2개는 보이지 않습니다) | |||
| 1번째 줄: | 1번째 줄: | ||
==개요== | ==개요== | ||
| − | * 수열 | + | * 수열 <math>\{a_n\}_{n}</math>이 모든 <math>i\geq 1</math>에 대하여 <math>a_i^2 \geq a_{i-1}a_{i+1}</math>을 만족하면 로그볼록수열이라 한다 |
| 22번째 줄: | 22번째 줄: | ||
==리뷰, 에세이, 강의노트== | ==리뷰, 에세이, 강의노트== | ||
* Brändén, Petter. ‘Unimodality, Log-Concavity, Real-Rootedness and beyond’. arXiv:1410.6601 [math], 24 October 2014. http://arxiv.org/abs/1410.6601. | * Brändén, Petter. ‘Unimodality, Log-Concavity, Real-Rootedness and beyond’. arXiv:1410.6601 [math], 24 October 2014. http://arxiv.org/abs/1410.6601. | ||
| − | + | * F. Brenti, Log-concave and Unimodal sequences in Algebra, Combinatorics, and Geometry: an update, Contemporary Math., 178 (1994), 71-89 http://www.mat.uniroma2.it/~brenti/10.dvi | |
| − | + | * R. Stanley, Log-concave and unimodal sequences in Algebra, Combinatorics and Geometry, Annals of the New York Academy of Sciences, 576 (1989), 500-534 http://dedekind.mit.edu/~rstan/pubs/pubfiles/72.pdf | |
==관련논문== | ==관련논문== | ||
| + | * Petter Brändén, Iterated sequences and the geometry of zeros, arXiv:0909.1927 [math.CO], September 10 2009, http://arxiv.org/abs/0909.1927, 10.1515/CRELLE.2011.063, http://dx.doi.org/10.1515/CRELLE.2011.063, J. Reine Angew. Math. 658 (2011), 115-131 | ||
* Medina, Luis A., and Armin Straub. 2014. “On Multiple and Infinite Log-Concavity.” arXiv:1405.1765 [math], May. http://arxiv.org/abs/1405.1765. | * Medina, Luis A., and Armin Straub. 2014. “On Multiple and Infinite Log-Concavity.” arXiv:1405.1765 [math], May. http://arxiv.org/abs/1405.1765. | ||
* McNamara, Peter R. W., and Bruce E. Sagan. 2010. “Infinite Log-Concavity: Developments and Conjectures.” Advances in Applied Mathematics 44 (1): 1–15. doi:10.1016/j.aam.2009.03.001. | * McNamara, Peter R. W., and Bruce E. Sagan. 2010. “Infinite Log-Concavity: Developments and Conjectures.” Advances in Applied Mathematics 44 (1): 1–15. doi:10.1016/j.aam.2009.03.001. | ||
2020년 11월 16일 (월) 04:24 기준 최신판
개요
- 수열 \(\{a_n\}_{n}\)이 모든 \(i\geq 1\)에 대하여 \(a_i^2 \geq a_{i-1}a_{i+1}\)을 만족하면 로그볼록수열이라 한다
메모
관련된 항목들
매스매티카 파일 및 계산 리소스
수학용어번역
리뷰, 에세이, 강의노트
- Brändén, Petter. ‘Unimodality, Log-Concavity, Real-Rootedness and beyond’. arXiv:1410.6601 [math], 24 October 2014. http://arxiv.org/abs/1410.6601.
- F. Brenti, Log-concave and Unimodal sequences in Algebra, Combinatorics, and Geometry: an update, Contemporary Math., 178 (1994), 71-89 http://www.mat.uniroma2.it/~brenti/10.dvi
- R. Stanley, Log-concave and unimodal sequences in Algebra, Combinatorics and Geometry, Annals of the New York Academy of Sciences, 576 (1989), 500-534 http://dedekind.mit.edu/~rstan/pubs/pubfiles/72.pdf
관련논문
- Petter Brändén, Iterated sequences and the geometry of zeros, arXiv:0909.1927 [math.CO], September 10 2009, http://arxiv.org/abs/0909.1927, 10.1515/CRELLE.2011.063, http://dx.doi.org/10.1515/CRELLE.2011.063, J. Reine Angew. Math. 658 (2011), 115-131
- Medina, Luis A., and Armin Straub. 2014. “On Multiple and Infinite Log-Concavity.” arXiv:1405.1765 [math], May. http://arxiv.org/abs/1405.1765.
- McNamara, Peter R. W., and Bruce E. Sagan. 2010. “Infinite Log-Concavity: Developments and Conjectures.” Advances in Applied Mathematics 44 (1): 1–15. doi:10.1016/j.aam.2009.03.001.