A Common Language for Hardware, Software, and Applications

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