Inner and outer bounds are established on the capacity region of two-sender, two-receiver interference channels (IC) where one transmitter knows both messages. The transmitter with this extra message knowledge is referred to as being cognitive. The inner bound is based on strategies that generalise prior work, and includes rate-splitting, Gel’fand–Pinsker (GP) coding and cooperative transmissio...

UA-Magazine he use of municipal wastewater to fertilize ponds began in Kolkata in the thirty’s, and it is now perhaps the largest wastewater fed aquaculture system in the world (Nair, 1944; Jhingran, 1991). Kolkata is a metropolis of 14 million inhabitants. The Kolkata periurban area especially where wastewater fish farming is practiced supports the livelihood of a large number of people throug...

ii ACKNOWLEDGEMENTS I am extremely grateful to my supervising professor Dr Babak Fahimi for his unstinted support. His guidance and encouragement has been vital in my learning process. I am thankful for his confidence in me and mentoring me for the successful completion of this thesis. I would like to express my gratitude to my parents and sisters for their unbounded care and love. Their encour...

The most general four-dimensional non-linear sigma-model, having the second-order derivatives only and interacting with a background metric and an antisymmetric tensor field, is constructed. Despite its apparent non-renormalizability, just imposing the one-loop UV-finiteness conditions determines the unique model, which may be finite to all orders of the quantum perturbation theory. This model ...

Background : Till date there is no published multi-institutional data regarding the epidemiological profile of pediatric brain tumors in India. Aim : The present retrospective study analyses the histological spectrum of pediatric age group brain tumors in seven tertiary care hospitals in India. Material and Methods : Data regarding frequencies of various primary brain tumors (diagnosed accordin...

Etheno-DNA adducts such as 1,N(6)-ethenodeoxyadenosine (epsilondA) and N(2),3-ethenodeoxycytidine (epsilondC) are formed as result of oxidative stress and lipid peroxidation via reactive alkenals (J. Nair et al., Mutat. Res., 424:59-69, 1999). High pi-6 polyunsaturated fatty acid intake markedly increased levels of WBCs in female volunteers on a controlled diet (J. Nair et al., Cancer Epidemiol...

This paper considers a three-receiver broadcast channel with degraded message sets and message cognition. The model consists of a common message for all three receivers, a private common message for only two receivers and two additional private messages for these two receivers, such that each receiver is only interested in one message, while being fully cognizant of the other one. First, this m...

The entropy power inequality (EPI) and the Brascamp-Lieb (BLI) are fundamental inequalities concerning differential entropies of linear transformations random vectors. EPI provides lower bounds for vectors with independent components. BLI, on other hand, upper a vector in terms some its transformations. In this paper, we define family functionals, which show subadditive. We then establish that ...

For integers n,s,b0,…,bn with n≥3,s≥0, |b0|=|bn|=1, let G1(x)=G1(x,n,s)≔n!∑j=0nbj(j!)−1n+s−jn−jxj. n≥0 and 0≤s≤92 it is proved in Shorey Sinha (2022) that, except for finitely many pairs (n,s),G1(x)=G1(x,n,s) either irreducible or linear factor times an polynomial. If s≤30, we determine here explicitly the set of (n,s) above assertion. This implies a new proof result Nair (2015) that G1(x) s≤22.