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