The Mahler measure of the polynomials tðx 1Þy ðx 1Þ 2 C1⁄2x; y is essentially the sum of volumes of a certain collection of ideal hyperbolic polyhedra in H, which can be determined a priori as a function on the parameter t. We obtain a formula that generalizes some previous formulas given by Cassaigne and Maillot (Mém. Soc. Math. Fr. ðN.S.Þ 80 (2000)), and Vandervelde (J. Number Theory 100 (1) ...

The sensor selection problem is a boolean convex optimization problem; given m sensor measurements we aim at finding k < m measurements that minimizes the logarithm of the volume of the η-confidence ellipsoid, which is a measure of the uncertainty in the data. This problem is known to be NP-hard. Recent work by Joshi and Boyd proposes a centralized solution of the relaxed sensor selection probl...

Boyd, William L. (Ohio State University, Columbus) and Josephine W. Boyd. Viability of coliform bacteria in antarctic soil. J. Bacteriol. 85:1121-1123. 1963.-The distribution of coliform bacteria in soils of Ross Island and the nearby mainland was studied. None was found in almost all of the samples collected, including some from the Adelie penguin rookeries at Cape Royds and Cape Crozier and i...

By distinguishing between producible and nonproducible public goods, we are able to propose a general equilibrium model with externalities that distinguishes between and encompasses both the Starrett [1972] and Boyd and Conley [1997] type external effects. We show that while nonconvexities remain fundamental whenever the Starrett type external effects are present, these are not caused by the ty...

Body surface area (BSA) has been used in clinical practice to determine dosage of medication and in standardisation of biological parameters such as creatinine clearance, cardiac out put etc. BSA is estimated from measured height and weight, either with a nomogram or using a mathematical equation. There are many mathematical equations in the published literature but many are complex and may not...