We present techniques that allow to decide that the dimension of some pointed Hopf algebras associated with non-abelian groups is infinite. These results are consequences of [AHS]. We illustrate each technique with applications. Dedicado a Isabel Dotti y Roberto Miatello en su sexagésimo cumpleaños. Introduction 0.1. Let G be a finite group and let CG CGYD be the category of YetterDrinfeld modu...

با توجه به رشد بالای جمعیت در جهان و نیاز اطمینان از امنیت غذایی، افزایش تولید واحد سطح محصولات زراعی به‌منزلة راهبردی اساسی حل مسئلة تأمین غذا به‌شمار می‌رود. سوی دیگر، وجود محدودیت زیرکشت پایین‌بودن میانگین عملکرد برخی کشاورزی مانند گندم کشور، محصول می‌تواند راهکاری عملی پاسخ کشور محسوب شود. یکی مهم‌ترین بیماری‌های فوزاریوم است که، نقش پیش‌بینی این بیماری جلوگیری کاهش بهره‌وری محصول، مدل‌هایی...

The problem of multiple endpoint testing for k endpoints is treated as a 2 finite action problem. The loss function chosen is a vector loss function consisting of two components. The two components lead to a vector risk. One component of the vector risk is the false rejection rate (FRR), that is, the expected number of false rejections. The other component is the false acceptance rate (FAR), th...

Let X be a Banach space and suppose that A1, . . . ,An are noncommuting (that is, not necessarily commuting) elements in L(X), the space of bounded linear operators on X. Further, for each i ∈ {1, . . . , n}, let μi be a continuous probability measure on B([0,1]), the Borel class of [0,1]. Each such n-tuple of operator-measure pairs (Ai,μi), i = 1, . . . , n, determines an operational calculus ...

We use a bisection method, [Par80, p. 51], to compute the eigenvalues of a symmetric Hl-matrix M . The number of negative eigenvalues of M −μI is computed via the LDL T factorisation of M − μI. For dense matrices, the LDL factorisation is too expensive to yield an efficient eigenvalue algorithm in general, but not for Hl-matrices. In the special structure of Hl-matrices there is an LDL T factor...

A simple proof of the equivalence of Pareto optimality plus positiveness and α-maxmin optimality, dispensing with the assumption of closedness of the utility possibility set, is given. Also the structure of the set of Pareto optimal utility profiles is studied. © 2008 Elsevier B.V. All rights reserved. The main results of the recent paper by Sagara ‘‘A characterization of α-maxmin solutions of ...

Y-type hexagonal ferrites with the nominal chemical composition Ba2Ni2–xZnxFe12O22 (0.0 ≤ x ≤ 0.6 with a step of 0.1) have been synthesized by the conventional solid state reaction method and sintered in the temperature range 1150 ̊C 1250 ̊C to study their structural and magnetic properties. The aim of the present work is to increase the magnetic properties of Y-type hexaferrites by Zn substituti...

A new molecular simulation method for the calculation of vapour-liquid equilibria of mixtures is presented. In this method, the independent thermodynamic variables are temperature and liquid composition. In the first step, one isobaric isothermal simulation for the liquid phase is performed, in which the chemical potentials of all components and their derivatives with respect to the pressure, i...