This paper is concerned with adaptive numerical frame methods for elliptic operator equations. We show how specific non-canonical frame expansions on domains can be constructed. Moreover, we study the approximation order of best n-term frame approximation which serves as the benchmark for the performance of adaptive schemes. We also discuss numerical experiments for second order elliptic bounda...

(In Press, 2000, Optical Engineering) In order to improve the performance of a linear auto-associator (which is a neural network model), we explore the use of several pre-processing techniques. The gist of our approach is to represent each pattern by one or several pre-processed (i.e. ltered) versions of the original pattern (plus the original pattern). First, we compare the performance of seve...

We use one of the available frame buffers for storage and direct display of the bi nary voxel data set. The other frame buffer holds either a surface normal view, a depth-shaded pre-image or the binary voxel data set of a secondary object. Altering the light direction or shading function IS performed by manipulating the hardware output lookup tables. An additional frame processor IS employed fo...

As a consequence of the Bochner formula for Bismut connection acting on gradients, we show sharp universal Poincaré and log-Sobolev inequalities along solutions to generalized Ricci flow. Using two-form potential define twisted spacetime which determines an adapted Brownian motion frame bundle, yielding Malliavin gradient path space. We this operator, leading characterizations flow in terms typ...

Generalized fusion frame and some of their properties in tensor product Hilbert spaces are described. Also, the canonical dual g-fusion is considered. Finally, operator for a pair Bessel sequences presented.

‎In this paper‎, ‎some properties of pre-monotone operators are proved‎. ‎It is shown that in a reflexive Banach space‎, ‎a full domain multivalued $sigma$-monotone operator with sequentially norm$times$weak$^*$ closed graph is norm$times$weak$^*$ upper semicontinuous‎. ‎The notion of $sigma$-convexity is introduced and the‎ ‎relations between the $sigma$-monotonicity and $sigma$-convexity is i...

In this study, a wastewater treatment plant (WWTP) in Vietnam receiving high-strength with COD of about 30,000 mg/L and various heavy metals from industries was treated by different RO membrane modules order to meet the stringent national discharge standard recover for reuse. The Fenton coagulation pre-treatments were employed based on optimal conditions, which experimentally pre-determined. Fo...

In this paper, we compared the performance of various combinations of edge operators and linear subspace methods to determine the best combination for pose classification. To evaluate the performance, we have carried out experiments on CMU-PIE database which contains images with wide variation in illumination and pose. We found that the performance of pose classification depends on the choice o...

Chiral symmetry at finite T , the phase of the Polyakov loop and the spectrum of the Dirac operator. Abstract A recent Monte Carlo study of quenched QCD showed that the chiral conden-sate is non-vanishing above T c in the phase where the average of the Polyakov loop P is complex. We show how this is related to the dependence of the spectrum of the Dirac operator on the boundary conditions in Eu...