The paper introduces ensembles of accumulate-repeat-accumulate (ARA) codes which asymptotically achieve capacity on the binary erasure channel (BEC) with bounded complexity per information bit. It also introduces symmetry properties which play a central role in the construction of capacity-achieving ensembles for the BEC. The results here improve on the tradeoff between performance and complexi...

Multiply-Accumulate (MAC) is one of the most commonly used operations in modern computing systems due to its use matrix multiplication, signal processing, and new applications such as machine learning deep neural networks. Ternary number system offers higher information processing within same digits when compared binary systems. In this paper, a MAC proposed using CNTFET-based ternary logic num...

Wild mushrooms are a popular delicacy in many countries and their consumption is rather high in some individuals. Some species, mainly from the genera Agaricus, Macrolepiota, Lepista and Calocybe accumulate a high content of cadmium and mercury even in unpolluted areas. Levels of these metals increase considerably in heavily polluted sites, such as in the vicinity of both working and abandoned ...

Recently, B. Y. Chen and F. Dillen established general sharp inequalities for multiply warped product submanifolds in arbitrary Riemannian manifolds. As applications, they obtained obstructions to minimal isometric immersions of multiply warped products into Riemannian manifolds. Later, the authors proved similar inequalities for multiply warped products isometrically immersed in Sasakian space...

This paper describes the designs of a saturating adder, multiplier, single MAC unit, and dual MAC unit with one cycle latencies. The dual MAC unit can perform two saturating MAC operations in parallel and accumulate the results with saturation. Specialized saturation logic ensures that the output of the dual MAC unit is identical to the result of the operations performed serially with saturatio...

The problem of imputing missing observations under the linear regression model is considered. It is assumed that observations are missing at random and all the observations on the auxiliary or independent variables are available. Estimates of the regression parameters based on singly and multiply imputed values are given. Jackknife as well as bootstrap estimates of the variance of the singly im...

Models of analog retrieval require a computationally cheap method of estimating similarity between a probe and the candidates in a large pool of memory items. The vector dot-product operation would be ideal for this purpose if it were possible to encode complex structures as vector representations in such a way that the superficial similarity of vector representations reflected underlying struc...

The spectrum of the Dirichlet Laplacian on conical layers is analysed through two aspects: the infiniteness of the discrete eigenvalues and their expansions in the small aperture limit. On the one hand, we prove that, for any aperture, the eigenvalues accumulate below the threshold of the essential spectrum: For a small distance from the essential spectrum, the number of eigenvalues farther fro...