10 citations · 17 across the 5 of their papers we have counts for
4 papers · 1 filter
A One-Sentence Line-of-Sight Proof of the Extreme Value Theorem
Samuel J. Ferguson
We give a one-sentence proof that a continuous real-valued function f on a closed, bounded interval attains a maximum value, by the following device. We define x in [a, b] to be a…
The Affordable Care Act and the IRS Iterative Fixed Point Procedure
Samuel J. Ferguson
We model the quantities appearing in Internal Revenue Service (IRS) tax guidance for calculating the health insurance premium tax credit created by the Patient Protection and Affor…
A One-Sentence Inverse Image Proof of Lusin's Theorem
Samuel J. Ferguson, Tianqi Wu
Standard proofs of Lusin's theorem, using simple functions, are sometimes quite elaborate. Here, we give a one-sentence proof of Lusin's theorem. We do not believe our approach, by…
Homogenization, linearization and large-scale regularity for nonlinear elliptic equations
Scott Armstrong, Sam Ferguson, Tuomo Kuusi
We consider nonlinear, uniformly elliptic equations with random, highly oscillating coefficients satisfying a finite range of dependence. We prove that homogenization and lineariza…