We study the complexity of locally decoding and locally list-decoding error correcting codes with good parameters. We focus on the circuit depth of the decoding algorithm and obtain new efficient constructions and tight lower bounds. our contributions are as follows: 1. We show general transformations from locally decodable and locally list-decodable codes with high-depth, say NC, decoders, int...

background: the present study aimed to investigate the nailfold capillaroscopy (nc) features of the patients with dermatomyositis (dm) and its correlation with their disease activity indices, physical findings, and laboratory results. methods: the present cross-sectional study was conducted on 27 dm patients above 16 years old who had referred to an(there are 3 clinics not one) outpatient rheum...

the goal of this study was to investigate the common clinical chemistry and distribution of xanthine oxidase (xo) in selected tissues of a mouse model of menopause. twenty four nmri female mice were divided into three groups: normal control (nc), and ovariectomized (ovx) groups and an estrogen-treated ovariectomized (ovx+e) group which received subcutaneous injection of estradiol benzoate (2 mg...

On the basis of the topological l/Nc expansion, various types of the distribution function for the soft and the hard processes are obtained, which contain the freedoms pertaining to the underlying string structure of hadronic reactions. It is stressed that the distribution functions for the soft process refer to the energy fractions of jets and are distinct from those for the hard process in th...

1 Department of Mathematics, Nandalal Ghosh B.T. College, Panpur, P.O.-Narayanpur, District –North 24 4 Parganas, Pin code-743126, West Bengal, India; [email protected] 5 2 Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, P.O.-Botanic 6 Garden, Howrah-711103, West Bengal, India; [email protected] (S.A.); [email protected] (T.K.R.) 7 * Corresp...

The application of nanoparticles in order to enhance the composites properties has been recently attracted many researchers' attentions. To increase the mechanical and physical properties of the composites, the nanoparticles have no significant effect on the weight and nanostructure of composites. One of the well-known nanoparticles is the Nanoclay (NC) that have been widely used in industries ...

For given non-abelian group G, the non-commuting (NC)-graph $Gamma(G)$ is a graph with the vertex set $G$ $Z(G)$ and two distinct vertices $x, yin V(Gamma)$ are adjacent whenever $xy neq yx$. The aim of this paper is to compute the spectra of some well-known NC-graphs.