Quantum absentminded driver problem revisited

The aim of the paper is to study the problem of absentminded driver in the quantum domain. In the classical case, it is a well-known example of a decision problem with imperfect recall that exhibits lack of equivalence between mixed and behavioral strategies. The optimal payoff outcome is significantly lower than the maximum payoff appearing in the game. This raises the question whether a quantum approach to the problem can increase the strategic position of the decision maker. The results that we present in the paper clearly reveal the benefits from playing the absentminded problem with the aid of quantum objects. Through appropriately chosen initial quantum state, the unitary strategies enable the decision maker to obtain the maximum possible payoff. At the same time, our scheme comes down to the classical problem with a suitable restriction of unitary strategies.

Bioinformatics and wet laboratory analysis of rs1800562 to predict genetic aetiology of iron overload in Nigeria

Introduction/Objective The most reported single nucleotide polymorphism (SNP) of the HFE gene is rs1800562, representing the substitution of Adenine for Guanine at position 847 of the HFE gene. This has been widely implicated in hereditary haemochromatosis and other conditions like altered cholesterol balance, Alzheimer’s disease and cutaneous photosensitivity. Abnormal HFE protein resulting from the mutant HFE gene leads to formation of excess iron which has been postulated as likely mechanism for these diseases. Although there is evidence of iron overload in Africans, only few studies have explored possible genetic causes, and prevalence of rs1800562 is not known in West African population. Hence the need to determine the prevalence of rs1800562 in Nigeria using computational and wet laboratory approach. Methods/Case Report Details of rs1800562 were retrieved from Ensembl Genome Browser version 99. Severity of the consequences of this SNP on protein product was determined using bioinformatics tools including SIFT, Polyphen, Mutation Assessor, HOPE, I-mutant and MutPred2. Genotyping of rs1800562 was done In silico using restriction fragment length polymorphism (RFLP). Primer3plus was used for primer design, NCBI BLAST and SMS were used for primer validation. We used Webcutter 2.0 to determine suitable restriction enzymes. The genotyping was simulated using USCS virtual PCR and RestrictionMapper. Whole blood samples were obtained from 200 participants selected randomly from a pool of blood donors. DNA was extracted and flanking region of rs1800562 was amplified. The amplified product was digested by RSA1and fragments examined on agarose gel electrophoresis. Results (if a Case Study enter NA) The MAF was found to be 0.01 globally and 0.02 in Africa. In the two Nigerian population examined (Yoruba and Esan population), MAF was 0.00. Mutation Assessor and SIFT Polyphen consistently predicted the mutation to be of severe consequences. Analysis on HOPE, I-mutant and Mutpred2 revealed loss of protein stability, change in net charges affecting the HFE protein localization and its interaction with other proteins. All the participants in the wet laboratory analysis were homozygous for the wild type allele of rs1800562 (MAF=0). Conclusion This study confirmed the In silico prediction of the absence of rs1800562 in Nigeria. Future studies should focus on other SNPs of the HFE gene as well as other gene involved in iron metabolism.

Fundamental solutions and Hadamard states for a scalar field with arbitrary boundary conditions on an asymptotically AdS spacetimes

We consider the Klein-Gordon operator on an n-dimensional asymptotically anti-de Sitter spacetime (M,g) together with arbitrary boundary conditions encoded by a self-adjoint pseudodifferential operator on ∂M of order up to 2. Using techniques from b-calculus and a propagation of singularities theorem, we prove that there exist advanced and retarded fundamental solutions, characterizing in addition their structural and microlocal properties. We apply this result to the problem of constructing Hadamard two-point distributions. These are bi-distributions which are weak bi-solutions of the underlying equations of motion with a prescribed form of their wavefront set and whose anti-symmetric part is proportional to the difference between the advanced and the retarded fundamental solutions. In particular, under a suitable restriction of the class of admissible boundary conditions and setting to zero the mass, we prove their existence extending to the case under scrutiny a deformation argument which is typically used on globally hyperbolic spacetimes with empty boundary.

Development of CAPS Marker Linked to H2 Locus of Fusarium Wilt Resistance in Chickpea

Background: Fusarium wilt is one of the widely distributed biotic stress of chickpea limiting its productivity worldwide. The major problem limiting the resistance breeding is screening of germplasm and breeding lines for disease resistance. To address such problems, identification of molecular marker closely linked to resistance locus is an effective strategy.Methods: The RAPD marker A07C417 closely linked H2 locus of Fusarium wilt resistance locus has been converted into SCAR and the loss of initial polymorphism was recaptured by alignment of consensus sequences from SCAR amplified locus for the identification of common motifs. Further, the linkage association of this marker with Fusarium wilt resistance locus has been reaffirmed using Fusarium wilt response of RILs phenotyped for wilt reaction using wilt sick pots and also wilt sick plots.Result: Identification of single nucleotide polymorphism at the consensus SCAR locus between susceptible and resistant cultivar, enabled development of CAPS marker through suitable restriction enzyme Aci I making it an effective codominant marker system for resistance deployment via marker assisted selection.

An improved overlap extension PCR for simultaneous multiple sites large fragments insertion, deletion and substitution

The existing molecular cloning methods are often limited by the availability of suitable restriction sites. It is still a challenge for simultaneous cloning of multiple fragments into different sites of a single vector. Here we developed a novel method named improved overlap extension PCR (IOEP) for restriction enzyme independent cloning of large fragments. The addition of primers enables IOEP to exponentially amplify the overlap extension product, thus greatly improves the amplification efficiency of large fragments. Moreover, coupled with the benefit of T4 DNA polymerase to improve cloning efficiency, our method can be used to simultaneously insert, delete and replace multiple DNA fragments at different sites.

The stability of closed linear Weingarten spacelike hypersurfaces in foliated spacetimes

This paper discusses the stability concerning closed linear Weingarten spacelike hypersurfaces [Formula: see text] immersed in foliated spacetimes. Firstly, we show that a totally umbilic [Formula: see text] is strongly stable. Secondly, given a generalized Robertson–Walker spacetime [Formula: see text] whose warping function [Formula: see text] is under a suitable restriction, we prove that if [Formula: see text] is strongly stable, then it is totally umbilic.

Cloning and constructing transformation vector carrying IbOr from the sweetpotato (Impomea batatas L.) involved in accumulation of carotenoids

The Orange gene (Or gene) is known as a gene encoding the protein containing a cysteine-rich Zinc finger domain. The Or protein is an important component of the structure that involes in accumulation of carotenoids and enhancing the resistant ability of plant to enviromental stresses. In an attempt to improve the nutritional quality and resistance to adverse environmental conditions of maize, in this article, we present the results on cloning IbOr gene from the sweetpotato cultivar Hoang Long and constructing transformation vectors carrying cloned IbOr gene under control of Ubiquitin (Ubi) or Globulin 1 (Glo1) promoter. The cloned IbOr gene was 942 bp in size and had similarity level of 100% comparing to the IbOr gene that was deposited in GenBank with Accession number HQ828087.1. The IbOr gene from sweedpotato Hoang Long was registered in GenBank under Accession number KX792094.1. The deduced protein consisted of 313 amino acids having Zin finger domain of DnaJ and HSP40 proteins. We have also constructed two transformation vectors pCambia2300/Ubiquitin/IbOr/Nos and pCambia2300/Glo1/IbOr/Nos. These vectors were transformed successfully into Agrobacterium tumefaciens strain C58. The presence of the target gene (IbOr) and promoter (Ubi or Glo1) in the A. tumefaciens strains were confirmed by colony-PCR amplification with respective specific primer pairs and digested by suitable restriction enzymes. These vectors will provide important materials for further gene transfer research for the expression of IbOr gene and production of transgenic maize with ability to accumulate high carotenoids.

A VARIANT OF HARISH-CHANDRA FUNCTORS

Harish-Chandra induction and restriction functors play a key role in the representation theory of reductive groups over finite fields. In this paper, extending earlier work of Dat, we introduce and study generalisations of these functors which apply to a wide range of finite and profinite groups, typical examples being compact open subgroups of reductive groups over non-archimedean local fields. We prove that these generalisations are compatible with two of the tools commonly used to study the (smooth, complex) representations of such groups, namely Clifford theory and the orbit method. As a test case, we examine in detail the induction and restriction of representations from and to the Siegel Levi subgroup of the symplectic group $\text{Sp}_{4}$ over a finite local principal ideal ring of length two. We obtain in this case a Mackey-type formula for the composition of these induction and restriction functors which is a perfect analogue of the well-known formula for the composition of Harish-Chandra functors. In a different direction, we study representations of the Iwahori subgroup $I_{n}$ of $\text{GL}_{n}(F)$, where $F$ is a non-archimedean local field. We establish a bijection between the set of irreducible representations of $I_{n}$ and tuples of primitive irreducible representations of smaller Iwahori subgroups, where primitivity is defined by the vanishing of suitable restriction functors.

Robust Social Decisions

We propose and operationalize normative principles to guide social decisions when individuals potentially have imprecise and heterogeneous beliefs, in addition to conflicting tastes or interests. To do so, we adapt the standard Pareto principle to those preference comparisons that are robust to belief imprecision and characterize social preferences that respect this robust principle. We also characterize a suitable restriction of this principle. The former principle provides stronger guidance when it can be satisfied; when it cannot, the latter always provides minimal guidance. (JEL D71, D81)

LINEAR WEINGARTEN HYPERSURFACES WITH BOUNDED MEAN CURVATURE IN THE HYPERBOLIC SPACE

We apply appropriate maximum principles in order to obtain characterization results concerning complete linear Weingarten hypersurfaces with bounded mean curvature in the hyperbolic space. By supposing a suitable restriction on the norm of the traceless part of the second fundamental form, we show that such a hypersurface must be either totally umbilical or isometric to a hyperbolic cylinder, when its scalar curvature is positive, or to a spherical cylinder, when its scalar curvature is negative. Related to the compact case, we also establish a rigidity result.