algebra20

References

Works cited

A consolidated bibliography for everything cited across the site. Each entry has an anchor so inline citations can deep-link to it.

birkhoff1967lattice
Birkhoff, G. (1967). Lattice Theory. American Mathematical Society, Providence. 3rd edition.
bradley1952rank
Bradley, R. A. & Terry, M. E. (1952). Rank Analysis of Incomplete Block Designs: I. The Method of Paired Comparisons. Biometrika, 39(3/4), 324–345.
brightwell1991counting
Brightwell, G. & Winkler, P. (1991). Counting Linear Extensions. Order, 8(3), 225–242.
christiano2017deep
Christiano, P. F., Leike, J., Brown, T. B., Martic, M., Legg, S., & Amodei, D. (2017). Deep Reinforcement Learning from Human Preferences. In Advances in Neural Information Processing Systems, Vol. 30.
davey2002introduction
Davey, B. A. & Priestley, H. A. (2002). Introduction to Lattices and Order. Cambridge University Press, Cambridge. 2nd edition.
debreu1954representation
Debreu, G. (1954). Representation of a Preference Ordering by a Numerical Function. In Decision Processes (ed. Thrall, R. M., Coombs, C. H., & Davis, R. L.), pp. 159–165. Wiley, New York.
fishburn1985interval
Fishburn, P. C. (1985). Interval Orders and Interval Graphs: A Study of Partially Ordered Sets. Wiley, New York.
ganter1999formal
Ganter, B. & Wille, R. (1999). Formal Concept Analysis: Mathematical Foundations. Springer, Berlin, Heidelberg.
krantz1971foundations
Krantz, D. H., Luce, R. D., Suppes, P., & Tversky, A. (1971). Foundations of Measurement, Volume I: Additive and Polynomial Representations. Academic Press, New York.
luce1956semiorders
Luce, R. D. (1956). Semiorders and a Theory of Utility Discrimination. Econometrica, 24(2), 178–191.
ouyang2022training
Ouyang, L., Wu, J., Jiang, X., Almeida, D., Wainwright, C. L., Mishkin, P., Zhang, C., Agarwal, S., Slama, K., Ray, A., et al. (2022). Training Language Models to Follow Instructions with Human Feedback. Advances in Neural Information Processing Systems, 35, 27730–27744.
stanley1986enumerative
Stanley, R. P. (1986). Enumerative Combinatorics, Volume 1. Wadsworth, Monterey, CA.
szpilrajn1930extension
Szpilrajn, E. (1930). Sur l'extension de l'ordre partiel. Fundamenta Mathematicae, 16, 386–389.
wille1982restructuring
Wille, R. (1982). Restructuring Lattice Theory: An Approach Based on Hierarchies of Concepts. In Ordered Sets (ed. Rival, I.), pp. 445–470. Reidel, Dordrecht.