Some Uses of { and }
Roger Hui

0.Introduction
1.A Few Applications
1.1Short Examples
1.2Text Formatting
1.3Latin Square Analysis of Variance
1.4Databases
1.5Lagrange Interpolation Polynomial
1.6Triangular Matrix Inversion
2.Definitions of { and }
2.1All
2.2From
2.3Select
2.4Merge
3.Some Primitives in Terms of { and }
3.1Old Selections
3.2Cuts
3.3Two Primitives from Linear Algebra
4.Further Applications
4.1Combinations
4.2Compositions
4.3Permutations
4.4Permutation Groups
5.Conclusion
Acknowledgments
References
Appendix A: Notation
A.1Direct Definition
A.2Rank
A.3Nouns
A.4Verbs
A.5Adverbs
Appendix B: Annotated Examples
 
Errata