The aim of this paper is to construct pairing friendly elliptic curves. In this paper, we explain a method of finding the polynomials representing √−D and ζk over the field containing √−D and ζk and how to construct a pairing friendly elliptic curves over the cyclotomic fields containing Q(ζk, √−D) for arbitrary k and D by CP method. By using the factorization of the cyclotomic polynomial combi...

We present a model in which two of the most important features of the long-run growth process are reconciled: the massive changes in the structure of production and employment; and the Kaldor facts of economic growth. We assume that households expand their consumption along a hierarchy of needs and firms introduce continuously new products. In equilibrium industries with an expanding and those ...

background: some evidence has shown benefits of probiotics in the management of minimal hepatic encephalopathy (mhe). we evaluated the efficacy of a multistrain probiotic compound, alone and in combination with lactulose, in the treatment of mhe. materials and methods: h   is study has two parts. first, consecutive adult patients with mhe were randomized to receive lactulose (30–60 ml/day) + pr...

The quantum modular invariant jqt(θ) of θ ∈R is defined as a discontinuous PGL2(Z)-invariant multi-valued map using the distance-to-the-nearest-integer function ‖ · ‖. For θ ∈Q it is shown that jqt(θ) =∞ and for quadratic irrationalities PARI/GP experiments suggest that jqt(θ) is a finite set. In the case of the golden mean φ, we produce explicit formulas involving weighted versions of the Roge...

We use a new dataset of hedge fund returns from a separate account platform to examine (1) how much of hedge fund return smoothing is due to main-fund specific factors, such as managerial reporting discretion (2) the costs of removing hedge fund share restrictions. These accounts trade pari passu with matching hedge funds but feature third-party reporting and permissive share restrictions. We u...

In this paper, we examine two widely-used approaches, the polynomial chaos expansion (PCE) and Gaussian process (GP) regression, for the development of surrogate models. The theoretical differences between the PCE and GP approximations are discussed. A state-of-the-art PCE approach is constructed based on high precision quadrature points; however, the need for truncation may result in potential...

AIMS Electronic healthcare records (EHRs) are increasingly used to store clinical information. A secondary benefit of EHRs is their use, in an anonymized form, for observational research. The Clinical Practice Research Datalink (CPRD) contains EHRs from primary care in the UK and, despite 1083 peer-reviewed research publications, has never been used to obtain pharmacogenetic samples. Using a st...

Exposure buildup factors for some tissues such as bone compact, Muscle striated, orange articulation wax, red articulation wax, nylon, PMMA and paraffin 2 have been computed using the five parameter geometric progression (GP) fitting method in the energy range of 0.01515.0 MeV, up to the penetration of 40 mean free paths (mfp). The variation of exposure buildup factors for all the selected tiss...

Flood frequency analysis (FFA) involves fitting of a probability distribution to observed flood data. Two main models, annual maximum (AM) and peaks over threshold (POT), are generally adopted in FFA. The POT model is underemployed due its complexity uncertainty associated with selection meeting independence criteria selecting data series. This study evaluates the AM models using from 188 gauge...