OBJECTIVE To examine the extent and types of cigarette advertising materials in stores and to assess tobacco company compliance with the 1998 Master Settlement Agreement (MSA). DESIGN A cross-sectional analysis of a random sample of 586 stores that sold cigarettes. SETTING US state of California. MAIN OUTCOME MEASURES Trained data collectors classified cigarette advertising materials by t...

This paper is devoted to some mathematical questions related to the stationary Navier-Stokes problem in three-dimensional exterior domains. Our approach is based on a combination of properties of Oseen problems in R and in exterior domains of R.

The July 1992 Indoor Radon and Radon Decay Product Measurement Device Protocols, EPA 402-R-92-004 (EPA 1992) provides five measurement device location selection criteria that should be followed when placing a device within a room for measurement of the radon concentration. These criteria include: (1) a place where the device will not be disturbed and there is adequate room for the device, (2) a...

which is the first inequality of (a). This establishes (a) for all cases. The proof of the theorem stated above follows at once. For each cross product we can form a chain of inequalities (a). The last circle in (a), which includes all the preceding, is the isometric circle of a transformation of one of the original groups. We make an application of the method. The simplest group consists of th...

1 Description The method of Grr obner bases in commutative polynomial rings introduced by Buchberger (e.g. 1]) is a well-known and very important tool in polynomial ideal theory, for example in solving the ideal membership problem. XIDEAL extends the method to exterior algebras using algorithms from 2]. There are two main departures from the commutative polynomial case. First, owing to the non-...

Integral equation methods for the solution of partial differential equations, when coupled with suitable fast algorithms, yield geometrically flexible, asymptotically optimal and well-conditioned schemes in either interior or exterior domains. The practical application of these methods, however, requires the accurate evaluation of boundary integrals with singular, weakly singular or nearly sing...

Dense particulate flow simulations using integral equation methods demand accurate evaluation of Stokes layer potentials on arbitrarily close interfaces. In this paper, we generalize techniques for close evaluation of Laplace double-layer potentials in J. Helsing and R. Ojala, J. Comput. Phys. 227 (2008) 2899–2921. We create a “globally compensated” trapezoid rule quadrature for the Laplace sin...

The “drum problem”—finding the eigenvalues and eigenfunctions of the Laplacian with Dirichlet boundary condition—has many applications, yet remains challenging for general domains when high accuracy or high frequency is needed. Boundary integral equations are appealing for large-scale problems, yet certain difficulties have limited their use. We introduce two ideas to remedy this: 1) We solve t...

because as we saw in Handout #3, the Jacobian emerges when we write the exterior product of the dy’s in terms of the dx’s. We will only concern ourselves with integration of n-forms on manifolds of dimension n. In fact, most of our manifolds will be flat (subsets of R), or surfaces only slightly more complicated than spheres. For example, the Stiefel manifold Vm,n of n by p orthogonal matrices ...

Saccharomyces cerevisiae ATCC 4126 was grown within the macroporous matrix of asymmetric-walled polysulfone hollow-fiber membranes and on the exterior surfaces of isotropic-walled polypropylene hollow-fiber membranes. Nutrients were supplied and products were removed by single-pass perfusion of the fiber lumens. Growth of yeast cells within the macrovoids of the asymmetric-walled membranes atta...