A new stability result is obtained for the approximation of the stationary Stokes problem by nonconforming piecewise cubic approximations to the velocities and a discontinuous piecewise quadratic approximation to the pressure. The basic result is that for most reasonable meshes, these elements form a stable pair without the addition of quartic bubble functions (which had previously been added t...

Nonnegative bivariate interpolants to scattered data are constructed using some C macro-element spline spaces. The methods are local, and rely on adjusting gradients at the data points to insure nonnegativity of the spline when the original data is nonnegative. More general range-restricted interpolation is also considered.

We show that the Federal Housing Administration (FHA), from its inception in 1930s, did not insure mortgages low income urban neighborhoods where vast majority of Black Americans lived. This pattern emerged before Home Owners’ Loan Corporation (HOLC) drafted infamous maps. In contrast, HOLC itself broadly loaned to core and homeowners. conclude mechanisms through which HOLC's maps could have af...

This paper proposes a novel model predictive current control scheme for two-stage matrix converter. The switching frequency is kept constant by fixing the instant. strategy achieves to source reactive power in input side and output currents side. In addition, advantage of proposed compared with conventional firstly proved using principle vector synthesis law sines distribution area. Moreover, z...

In this paper we attempt to find a solution to the problem in the field of marketing communications of how to insure that a certain area will be sufficiently covered by the launching of items containing communication materials, when an immediate effect is required. It was found that it is possible to determine the necessary number of items for a given density of area coverage. The method comes ...

Finite ground-plane conductivity can have an enormous eeect on inductive coupling between signal lines. However, including non-ideal ground planes in 3-D in-ductance extraction programs is computationally expensive , as the ground plane must be nely discretized to insure the current distribution throughout the plane is accurately computed. This makes standard volume-element algorithms unsuitabl...

Single-walled carbon nanotubes (SWNT) in a poly(ethylene)ghycol solution are a biocompatible transporters with strong optical absorption in the near-infrared region, in which the biological tissue is almost transparent with very low absorbance. Here, antibody-functionalized SWNTs for tumor early detection with photoacoustic molecular imaging in vivo are reported. To lay the groundwork for this ...