Now choose a Borel subgroup B in G and a maximal torus T in B so that, if B is the opposite Borel subgroup, then B ∩ H and B ∩ H are a Borel subgroups in H and T ∩H is a maximal torus in H . We follow the convention that the roots of B are positive. If λ ∈ X(T ), then indGB(−λ) is the dual Weyl module ∇G(λ ) with highest weight λ = −w0λ and lowest weight −λ. Its dual is the Weyl module ∆G(λ). I...

A spatially-adaptive method for color printing is proposed that is robust to printer instabilities, reproduces smooth regions with the quality of ordered dither, reproduces sharp edges significantly better than ordered dither, and may be less susceptible to moire. The new method acts in parallel on square, non-overlapping blocks of each color plane of the image. For blocks with low spatial acti...

This paper studies mathematical properties of h-index sequences as developed by Liang [Liang, L. (2006). h-Index sequence and h-index matrix: Constructions and applications. Scientometrics, 69(1), 153–159]. For practical reasons, Liming studies such sequences where the time goes backwards while it is more logical to use the time going forward (real career periods). Both type of h-index sequence...

The statistical properties of the error in uniform scalar quantization have been analyzed by a number of authors in the past, and is a well understood topic today. The analysis has also been extended to the case of dithered quantizers, and the advantages and limitations of dithering have been studied and well documented in the literature. Lattice vector quantization is a natural extension into ...

We present a scalable, energy-efficient method to automatically align microring resonators and modulators with laser wavelengths, as well as provide thermal stabilization. The method utilizes a dithering signal to generate error signals that are immune to fluctuations in laser power.

A new multiresolution decomposition scheme based on constrained B-Spline decimation/interpolation is proposed. The proposed decomposition algorithm is tested on greyscale and color image compression, and the results are compared with DCT based compression. Dithering and postprocessing are applied to the compressed images to deal with artifacts at low bit rate compression.