‎in the present paper‎, ‎by making use of the differential subordination and‎ ‎superordination results of miller and mocanu‎, ‎  ‎certain classes of admissible functions ‎are determined so that subordination as well as superordination implications‎ ‎of functions associated with an integral operator hold‎. ‎additionally‎, ‎differential sandwich-type result is obtained‎.

Which comes first—the lyrics or the music? Here we consider the lyrics-first approach to songwriting and seek to augment the process by developing a creativity-support tool which uses lyrics as a creative constraint for rhythm generation. We describe a novel algorithm for suggesting possible melodic rhythms to complement the accent structure of a given set of lyrics. The algorithm is composed o...

We discuss how statistical inference techniques can be applied in the context of designing novel biological systems. Bayesian techniques have found widespread application and acceptance in the systems biology community, where they are used for both parameter estimation and model selection. Here we show that the same approaches can also be used in order to engineer synthetic biological systems b...

Let α = −2+ √ −1 be a root of the polynomial p(x) = x +4x+5. It is well-known that the pair (α, {0, 1, 2, 3, 4}) forms a canonical number system, i.e., that each γ ∈ Z[α] admits a finite representation of the shape γ = a0 + a1α+ · · ·+ alα with ai ∈ {0, 1, 2, 3, 4}. The set T of points with integer part 0 in this number system

We propose a likelihood function endowed with a penalisation that reduces the bias of the maximum likelihood estimator in regular parametric models. The penalisation hinges on the first two derivatives of the log likelihood and can be computed numerically. The asymptotic properties and the sensitivity to nuisance parameters of the penalised likelihood and derived quantities are addressed. In mo...

Nowadays ICT is the integral part of modern teacher’s and scholar’s activity. For teachers it is reasonable to allocate two basic approach of ICT use: e-learning courses designing (to satisfaction of educational needs of students and implementation of new educational approaches) and openness in the presentation of their own research interests. For effective implementation of these approaches it...

and Applied Analysis 3 where n α 1, α denotes the integer part of number α, provided that the right side is pointwise defined on 0, ∞ . Definition 2.2 see 20 . The Riemann-Liouville fractional integral of order α > 0 of a function f : 0, ∞ → R is given by I 0 f t 1 Γ α ∫ t 0 t − s α−1f s ds, 2.2 provided that the right side is pointwise defined on 0, ∞ . From the definition of the Riemann-Liouv...

This paper presents an unsupervised discretization method that performs density estimation for univariate data. The subintervals that the discretization produces can be used as the bins of a histogram. Histograms are a very simple and broadly understood means for displaying data, and our method automatically adapts bin widths to the data. It uses the log-likelihood as the scoring function to se...

In this paper we address the issue of research communities in science and engineering and their effects on graduate students and women in particular. We present our observations of graduate student experiences in one particular research community. These observations are considered in the context of research done by national science institutes and feminist theorists about the under-representatio...