introduction: users’ performance and their interaction with information retrieval systems can be observed in development of their mental models. users, especially users of health, use mental models to facilitate their interactions with these systems and incomplete or incorrect models can cause problems for them . the aim of this study was the adjustment and development of health user’s mental m...

We determine the law of the convex minorant (Ms,s�[0,1]) of a real-valued Cauchy process on the unit time interval, in terms of the gamma process. In particular, this enables us to deduce that the paths of M have a continuous derivative, and that the support of the Stieltjes measure dM� has logarithmic dimension one. DOI: https://doi.org/10.1214/ECP.v5-1017 Posted at the Zurich Open Repository ...

in this paper we define intuitionistic fuzzy metric and normedspaces. we first consider finite dimensional intuitionistic fuzzy normed spacesand prove several theorems about completeness, compactness and weak convergencein these spaces. in section 3 we define the intuitionistic fuzzy quotientnorm and study completeness and review some fundamental theorems. finally,we consider some properties of...

the present paper introduces the notion of the complete fuzzy norm on a linear space. and, some relations between the fuzzy completeness and ordinary completeness on a linear space is considered, moreover a new form of fuzzy compact spaces, namely b-compact spaces and b-closed spaces are introduced. some characterizations of their properties are obtained.

A family of generalized Cauchy distributions, T-Cauchy{Y} family, is proposed using the T-R{Y} framework. The family of distributions is generated using the quantile functions of uniform, exponential, log-logistic, logistic, extreme value, and Fréchet distributions. Several general properties of the T-Cauchy{Y} family are studied in detail including moments, mean deviations and Shannon’s entrop...

Observations of the multi-TeV spectra of the nearby BL objects Mkn 421 and Mkn 501 exhibit the high energy cutoffs predicted to be the result of intergalactic annihilation interactions, primarily with infrared photons having a flux level as determined by various astronomical observations. After correction for this absorption effect, the derived intrinsic spectra of these multi-TeV sources can b...

We derive an algorithm of optimal complexity which determines whether a given matrix is a Cauchy matrix, and which exactly recovers the Cauchy points defining a Cauchy matrix from the matrix entries. Moreover, we study how to approximate a given matrix by a Cauchy matrix with a particular focus on the recovery of Cauchy points from noisy data. We derive an approximation algorithm of optimal com...

The aim of this note is to give a quick derivation of Theorem 1 using the techniques developed in [1] and the skew domino Cauchy identity. Let Gλ/μ(X; q) = ∑ D q spin(D)xweight(D) be the spin-weight generating function of domino tableaux with shape λ/μ; see for example [1]. Here we will use the convention that spin(D) is equal to half the number of vertical dominoes in D. Though not stated expl...

This paper is devoted to a conditional stability estimate related to the ill-posed Cauchy problems for the Laplace’s equation in domains with C boundary. It is an extension of an earlier result of [19] for domains of class C. Our estimate is established by using a global Carleman estimate near the boundary in which the exponential weight depends on the distance function to the boundary. Further...