球冠
(Spherical cap から転送)
出典: フリー百科事典『ウィキペディア（Wikipedia）』 (2024/03/26 02:02 UTC 版)
脚注
- ^ a b Polyanin, Andrei D; Manzhirov, Alexander V. (2006), Handbook of Mathematics for Engineers and Scientists, CRC Press, p. 69, ISBN 9781584885023.
- ^ “Unizor - Geometry3D - Spherical Sectors”. YouTube. Zor Shekhtman. 2018年12月31日閲覧。
- ^ Connolly, Michael L. (1985). “Computation of molecular volume”. Journal of the American Chemical Society 107 (5): 1118–1124. doi:10.1021/ja00291a006.
- ^ Pavani, R.; Ranghino, G. (1982). “A method to compute the volume of a molecule”. Computers & Chemistry 6 (3): 133–135. doi:10.1016/0097-8485(82)80006-5.
- ^ Bondi, A. (1964). “Van der Waals volumes and radii”. The Journal of Physical Chemistry 68 (3): 441–451. doi:10.1021/j100785a001.
- ^ Scott E. Donaldson, Stanley G. Siegel (2001). Successful Software Development. ISBN 9780130868268 2016年8月29日閲覧。
- ^ “Obliquity of the Ecliptic (Eps Mean)”. Neoprogrammics.com. 2014年5月13日閲覧。
- ^ Li, S (2011). “Concise Formulas for the Area and Volume of a Hyperspherical Cap”. Asian Journal of Mathematics & Statistics 4 (1): 66–70. doi:10.3923/ajms.2011.66.70.
- ^ Chudnov, Alexander M. (1986). “On minimax signal generation and reception algorithms (rus.)”. Problems of Information Transmission 22 (4): 49–54.
- ^ Chudnov, Alexander M (1991). “Game-theoretical problems of synthesis of signal generation and reception algorithms (rus.)”. Problems of Information Transmission 27 (3): 57–65.
- ^ Anja Becker, Léo Ducas, Nicolas Gama, and Thijs Laarhoven. 2016. New directions in nearest neighbor searching with applications to lattice sieving. In Proceedings of the twenty-seventh annual ACM-SIAM symposium on Discrete algorithms (SODA '16), Robert Kraughgamer (Ed.). Society for Industrial and Applied Mathematics, Philadelphia, PA, USA, 10-24.
関連文献
- Richmond, Timothy J. (1984). “Solvent accessible surface area and excluded volume in proteins: Analytical equation for overlapping spheres and implications for the hydrophobic effect”. Journal of Molecular Biology 178 (1): 63–89. doi:10.1016/0022-2836(84)90231-6. PMID 6548264.
- Lustig, Rolf (1986). “Geometry of four hard fused spheres in an arbitrary spatial configuration”. Molecular Physics 59 (2): 195–207. Bibcode: 1986MolPh..59..195L. doi:10.1080/00268978600102011.
- Gibson, K. D.; Scheraga, Harold A. (1987). “Volume of the intersection of three spheres of unequal size: a simplified formula”. The Journal of Physical Chemistry 91 (15): 4121–4122. doi:10.1021/j100299a035.
- Gibson, K. D.; Scheraga, Harold A. (1987). “Exact calculation of the volume and surface area of fused hard-sphere molecules with unequal atomic radii”. Molecular Physics 62 (5): 1247–1265. Bibcode: 1987MolPh..62.1247G. doi:10.1080/00268978700102951.
- Petitjean, Michel (1994). “On the analytical calculation of van der Waals surfaces and volumes: some numerical aspects”. Journal of Computational Chemistry 15 (5): 507–523. doi:10.1002/jcc.540150504.
- Grant, J. A.; Pickup, B. T. (1995). “A Gaussian description of molecular shape”. The Journal of Physical Chemistry 99 (11): 3503–3510. doi:10.1021/j100011a016.
- Busa, Jan; Dzurina, Jozef; Hayryan, Edik; Hayryan, Shura (2005). “ARVO: A fortran package for computing the solvent accessible surface area and the excluded volume of overlapping spheres via analytic equations”. Computer Physics Communications 165 (1): 59–96. Bibcode: 2005CoPhC.165...59B. doi:10.1016/j.cpc.2004.08.002.
外部リンク
- Weisstein, Eric W. "Spherical cap". mathworld.wolfram.com (英語). Derivation and some additional formulas.
- Online calculator for spherical cap volume and area.
- Summary of spherical formulas.
- 球冠のページへのリンク
