Nonuniformity is a central concept in computational complexity with powerful connections to circuit and randomness. Nonuniform reductions have been used study the isomorphism conjecture for NP completeness larger classes. We power of nonuniform NP-completeness, obtaining both separations upper bounds vs uniform complessness NP. Under various hypotheses, we obtain following separations: also con...

In recent years, dielectrophoresis based microfluidics systems have been used to manipulate colloids, inert particles, and biological microparticles, such as red blood cells, white blood cells, platelets, cancer cells, bacteria, yeast, micro‌organisms, proteins, DNA, etc. In the current study the governing electric potential equations have been solved in the presence of cell for the purpose of ...

the finite element method is employed for the flexural-torsional linear buckling analysis of beams of arbitrarily shaped composite cross-section taking into account generalized warping (shear lag effects due to both flexure and torsion). the contacting materials, that constitute the composite cross section, may include a finite number of holes. a compressive axial load is applied to the beam. the...

FFT-based nonuniform filter banks are proposed based on channelsized inverse FFTs applied to nonuniform frequency-partitions (or overlap-add decompositions) of the Short Time Fourier Transform (STFT). Audio filter banks (particularly octave filter banks) are considered as application examples. Trade-offs discussed include perfect reconstruction, aliasing cancellation, flexibility of filterchann...

Abstract This paper considers the generaI properties of a jacket consisting of two closely spaced, but curved, conducting plates separated by a medium of uniform isotropic permeability and nonuniform isotropic permittivity for propagating dispersionless TEM waves. A simple form of this is a body of revolution with generalized axial propagation (generalizti coax) which can be synthesized with a ...

We show that the perfect matching problem is in the complexity class SPL (in the nonuniform setting). This provides a better upper bound on the complexity of the matching problem, as well as providing motivation for studying the complexity class SPL. Using similar techniques, we show that the complexity class LogFew (de ned and studied in [BDHM92] coincides with NL in the nonuniform setting. Fi...

Discrete bends in the propagation direction of plane TEM waves can be achieved utilizing the Brewster angle at a planar interface between media of different uniform isotropic pennittivities. This paper extenda this to cases of multiple dielectric or nonuniform permittivity. The nonuniform case is a generali~tion of the Brewster-angle concept. This is also related to special log-spiral solutions...

Let X be a right-angled building. We show that the lattices in Aut(X) share many properties with tree lattices. For example, we characterise the set of covolumes of uniform and of nonuniform lattices in Aut(X), and show that the group Aut(X) admits an infinite ascending tower of uniform and of nonuniform lattices. These results are proved by constructing a functor from graphs of groups to compl...