We investigate the type II string effective potential at tree-level and derive necessary ingredients for having de Sitter solutions in orientifold models with fluxes. Furthermore, we examine some explicit O6 compactifications in IIA theory on manifolds with SU(3)-structure in the limit where the orientifold sources are smeared. In particular, we use a simple ten-dimensional Ansatz for four-dime...

This paper presents the results of a preliminary investigation into the distribution of peak factors in the QPSK message space for different numbers of carriers with the aim of determining those messages which exhibit a low peak factor relative to a given threshold. A group structure is suggested which associates cosets of 16 messages into equivalence classes having the same peak power. Algorit...

The motivation of this article is to define approximately near rings, some types $N$-groups, ideals, and rings all descriptive cosets. Moreover, properties these algebraic structures are given. Furthermore, near-ring homomorphisms introduced their investigated.

Abstract Let G be a finite group, N normal subgroup of and K conjugacy class . We prove that if $$K\cup K^{-1}$$ K ∪ - 1 is union cosets , then soluble, real-imaginary class, is, every irreducible character takes ...

We describe a constructive coset-based coding framework for the general broadcast problem. Our construction is inspired by the information-theoretic framework of Marton [16], who used the concept of random binning to provide the best-known achievable broadcast region to date. Our approach leverages our recent coset-based construction for the Slepian-Wolf coding problem. The key enabling idea is...

Let G be any abelian group and {asGs}ks=1 be a finite system of cosets of subgroups G1, . . . , Gk. We show that if {asGs} k s=1 covers all the elements of G at least m times with the coset atGt irredundant then [G : Gt] 6 2 and furthermore k > m + f([G : Gt]), where f( ∏ r i=1 p αi i ) = ∑ r i=1 αi(pi − 1) if p1, . . . , pr are distinct primes and α1, . . . , αr are nonnegative integers. This ...