In this paper, we propose a quantum algorithm for recommendation systems which incorporates the contextual information of users to personalized recommendation. The preference is encoded in third-order tensor dimension N can be approximated by truncated singular value decomposition (t-svd) subsample tensor. Unlike classical that reconstructs using t-svd, our obtains recommended product under cer...

 Let $R$ be a ring‎, ‎and let $n‎, ‎d$ be non-negative integers‎. ‎A right $R$-module $M$ is called $(n‎, ‎d)$-projective if $Ext^{d+1}_R(M‎, ‎A)=0$ for every $n$-copresented right $R$-module $A$‎. ‎$R$ is called right $n$-cocoherent if every $n$-copresented right $R$-module is $(n+1)$-coprese-nted‎, ‎it is called a right co-$(n,d)$-ring if every right $R$-module is $(n‎, ‎d)$-projective‎. ‎$R$...

We consider orthocenters of simplices of the unit sphere of the ndimensional Euclidean space. For n = 3, orthocenters always exist for all simplices, but for n ≧ 4, they do not necessarily exist. Moreover, unlike the case of the Euclidean space, it is possible that there exist infinite numbers of orthocenters. In this paper, we give characterizations of the existence and the uniqueness of ortho...

We show that although unconditionally secure quantum bit commitment is impossible, it can be based upon any family of quantum one-way permutations. The resulting scheme is unconditionally concealing and computationally binding. Unlike the classical reduction of Naor, Ostrovski, Ventkatesen and Young, our protocol is non-interactive and has communication complexity O(n) qubits for n a security p...

Unlike many particle systems, activated random walk has nontrivial behavior even in one spatial dimension. We prove inner and outer bounds on the spread of n walkers from a single source $${\mathbb {Z}}$$ . The bound involves comparison with stationary distribution finite interval, while stabilization an infinite Bernoulli configuration

N-acetylmuramyl-L-alanyl-D-isoglutamine (MDP), an apparently nonimmunogenic bacterial peptidoglycan-derived small peptide, was found to induce a polyarthritis the rat similar to that induced by Freund's complete adjuvant when injected in the form of an oil emulsion. An oil emulsion of its isomer, N-acetylmuramyl-L-alanyl-L-isoglutamine, which unlike MDP has no immunostimulatory activity, failed...

Eleven new 2-styrylbenzothiazole-N-oxides have been prepared by aldol - type condensation reactions between 2-methylbenzothiazole-N-oxide and para-substituted benzaldehydes. Compounds with cyclic amino substituents showed typical push-pull molecule properties. Four compounds were tested against various bacterial strains as well as the protozoan Euglena gracilis as model microorganisms. Unlike p...

In this paper, it is shown that the Peukert generalized equations C = Cm/(1 + (i/i0)n), 0.522Cmtanh((i/i0)n/0.522)/(i/i0)n and Cmerfc((i/ik − 1)/(1/n))/erfc(−n) are applicable for capacity estimation of automotive-grade lithium-ion batteries within discharge current range, from 0 to 10 Cn. Additionally, here all parameters (Cm, n, i0 ik) in under study have a clear physical meaning, unlike clas...