Of Migrant Slaves and Underground Railroads: Movement, Containment, Freedom

Degrees of Freedom Versus Dimension for Containment Orders

Given a family of sets S, where the sets in S admit k ‘degrees of freedom’, we prove that not all (k + 1)-dimensional posets are containment posets of sets in S. Our results depend on the following enumerative result of independent interest: Let P (n, k) denote the number of partially ordered sets on n labeled elements of dimension k. We show that logP (n, k) ∼ nk log n where k is fixed and n i...

Railroads and American Law

Railroads and American Economic Growth : A

This paper examines the historical impact of railroads on the American economy, with a focus on quantifying the aggregate impact in the agricultural sector in 1890. Expansion of the railroad network may have affected all counties directly or indirectly — an econometric challenge that arises in many empirical settings. However, the total impact on each county is captured by changes in that count...

Freedom and Human Dignity

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SiPass integrated: freedom of movement in a secure environment

The perfect balance between security and accessibility Answers for infrastructure.