For a prime p and a vector ᾱ = (α1, . . . , αk) ∈ Zp let f (ᾱ, p) be the largest n such that in each set A ⊆ Zp of n elements one can find x which has a unique representation in the form x = α1a1 + · · · + αkak, ai ∈ A. Hilliker and Straus [2] bounded f (ᾱ, p) from below by an expression which contained the L1-norm of ᾱ and asked if there exists a positive constant c (k) so that f (ᾱ, p) > c (k...

This study assesses the results of a 2-year community-based peer education program aimed at increasing HIV/AIDS knowledge, attitudes toward condoms, and condom use behavior among taxicab and tricycle drivers in the Philippines. Pretest, posttest, and follow-up data were collected throughout the educational intervention program. The results of the repeated measures analysis of variance (ANOVA) i...

In cities that control the number of taxicabs by law or regulation, setting the number of cabs is one of the most important decisions made by taxicab regulators and elected officials. Licensing either too many or too few cabs can have serious deleterious effects on the availability and quality of service and the economic viability of the taxi business. Yet local officials often have difficulty ...

A model of a decentralized market is developed that features search frictions, advertised prices and bargaining. Sellers can post ask prices to attract buyers through a process of directed search, but ex post there is the possibility of negotiation. Similarly, buyers can post negotiable bid prices to attract sellers. Even when transaction prices often differ from quoted prices, bid and ask pric...

Searching for a target in an unfamiliar environment requires acquiring, storing, processing, and recalling spatial information. We use datasets from two virtual reality navigation experiments to design and validate a simple biologically-inspired computational model of these processes. Subjects in both datasets play taxicab drivers, picking up and delivering passengers in a series of small virtu...

We obtain estimates in Besov, Triebel–Lizorkin and Lorentz spaces of differential forms on Rn in terms of their L1 norm.

The ubiquity of ever-connected smartphones has lead to new sensing paradigms that promise environmental monitoring in unprecedented temporal and spatial resolution. Everyday people may use low-cost sensors to collect environmental data. However, measurement errors increase over time, especially with low-cost air quality sensors. Therefore, regular calibration is important. On a larger scale and...

Given access to independent samples of a distribution A over [n℄ [m℄, we show how to test whether the distributions formed by projecting A to each coordinate are independent, i.e., whether A is -close in the L1 norm to the product distribution A1 A2 for some distributionsA1 over [n℄ and A2 over [m℄. The sample complexity of our test is ~ O(n2=3m1=3poly( 1)), assuming without loss of generality ...