In our recent work with M. Rogers on resolving some Boyd’s conjectures on two-variate Mahler measures, a new analytical machinery was introduced to write the values L(E, 2) of L-series of elliptic curves as periods in the sense of Kontsevich and Zagier. Here we outline, in slightly more general settings, the novelty of our method with Rogers, and provide a simple illustrative example. Throughou...

This case description focuses on how we have used activity theoretical concepts as analytical tools for improving better pedagogical design regarding a particular course on objectoriented programming. We argue that productive learning environments must be considered as environments where certain pedagogical, communicative, technological conditions are incorporated with the specific knowledge do...

Let φ be a function in the Wiener amalgam space W∞(L1) with a non-vanishing property in a neighborhood of the origin for its Fourier transform φ̂, τ = {τn}n∈Z be a sampling set on R and V τ φ be a closed subspace of L2(R) containing all linear combinations of τ -translates of φ. In this paper we prove that every function f ∈ V τ φ is uniquely determined by and stably reconstructed from the sampl...

Karon et al. (1 ) modeled the effects of glucose meter error on insulin dosing errors. They refer to an earlier model that I had pointed out was incomplete (2 ). Although Boyd and Bruns (3 ) agreed with my assessment, the current simulation is, once again, incomplete and the same as the previous simulation. We have reviewed the statistics for glucose meter performance (4 ) and noted that Lawton...