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Double-interval societies
- M. Klawe, Kathryn L. Nyman, Jacob N. Scott, F. Su
- Mathematics
- 18 July 2013
Consider a society of voters, each of whom specify an approval set over a linear political spectrum. We examine double-interval societies, in which each person's approval set is represented by two…
Third and Fourth Binomial Coefficients
- A. Benjamin, Jacob N. Scott
- Education
- 2011
This Article is brought to you for free and open access by the HMC Faculty Scholarship at Scholarship @ Claremont. It has been accepted for inclusionin All HMC Faculty Publications and Research by an…
Combinatorics of Two-Toned Tilings
- A. Benjamin, P. Chinn, Jacob N. Scott, G. Simay
- Mathematics
- 2011
We introduce the function a(r, n) which counts tilings of length n+ r that utilize white tiles (whose lengths can vary between 1 and n) and r identical red squares. These tilings are called two-toned…
Thir d and Fourth Binomial Coeffic ients
- A. Benjamin, Jacob N. Scott
- Education
- 2011
This Article is brought to you for free and open access by the HMC Faculty Scholarship at Scholarship @ Claremont. It has been accepted for inclusionin All HMC Faculty Publications and Research by an…
Approval Ratios of Double-Interval Societies
- Jacob N. Scott
- Economics
- 2011
If each convex set represents an interval of political positions on a spectrum that a voter approves of, then Helly’s theorem establishes a necessary and sufficient condition to guarantee that some…