On Boas-Type Problem

R.P. Boas has found necessary and sufficient conditions of belonging of function to Lipschitz class. From his findings it turned out, that the conditions on sine and cosine coefficients for belonging of function to Lip α(0 & α & 1) are the same, but for Lip 1 are different. Later his results were generalized by many authors in the viewpoint of generalization of condition on the majorant of modulus of continuity. The aim of this paper is to obtain Boas-type theorems for generalized Lipschitz classes. To define generalized Lipschitz classes we use the concept of modulus of smoothness of fractional order.

Normal forms for rational difference equations with applications to the global periodicity problem

We propose a classification and derive the associated normal forms for rational difference equations with complex coefficients. As an application, we study the global periodicity problem for second order rational difference equations with complex coefficients. We find new necessary conditions as well as some new examples of globally periodic equations.

The black-white test score gap widens with age?

We re-examine the theoretical concept of a production function for cognitive achievement, and argue that an indirect production function that depends upon the variables that constrain parents' choices is both moretractable from an econometric point of view, and more interesting from an economic point of view than is a direct production function that depends upon a detailed list of direct inputs such as number of books in the household. We estimate flexible econometric models of indirect production functions for two achievement measures from the Woodcock-Johnson Revised battery, using data from two waves of the Child Development Supplement to the PSID. Elasticities of achievement measures with respect to family income and parents' educational levels are positive and significant. Gaps between scores of black and white children narrow or remain constant as children grow older, a result that differs from previous findings in the literature. The elasticities of achievement scores with respect to family income are substantially higher for children of black families, and there are some notable difference in elasticities with respect to parents' educational levels across blacks and whites.

La Imatge fidel de les unions temporals d'empreses UTE

En l’article es fa una revisió actual de les unions temporals d’empreses (UTE), per tal de veure si la informació comptable que presenten és fidedigne. En primer lloc, es defineix la unió temporal d’empreses, i es detalla l’origen històric, les característiques i els objectius de l’UTE. Seguidament es presenta la regulació comptable i fiscal que afecta a les UTE, i es detalla el que pauta l’adaptació del Pla general comptable de les empreses constructores en relació amb les UTE i la problemàtica derivada de les operacions en empreses d’aquest sector que tantes UTE realitzen. També es ressalta en l’article la responsabilitat de l’UTE i les Normes comptables internacionals relacionades amb les UTE. Finalment es presenten els resultats d’una anàlisi d’estats financers de trenta empreses constructores que habitualment realitzen UTE, per comprovar el seguiment que fan de l’adaptació sectorial del Pla general comptable de les empreses constructores i la informació que donen de les UTE. L’última part de l’article fa referència a les conclusions, i és en aquesta part on s’apunta que la informació comptable de les UTE ha de millorar notablement, ja que actualment és una informació poc transparent, insuficient i dispersa.

The word problem distinguishes counter languages

Counter automata are more powerful versions of finite state automata where addition and subtraction operations are permitted on a set of n integer registers, called counters. We show that the word problem of Zn is accepted by a nondeterministic m-counter automaton if and only if m &= n.

On the complexity of the Whitehead minimization problem

The Whitehead minimization problem consists in finding a minimum size element in the automorphic orbit of a word, a cyclic word or a finitely generated subgroup in a finite rank free group. We give the first fully polynomial algorithm to solve this problem, that is, an algorithm that is polynomial both in the length of the input word and in the rank of the free group. Earlier algorithms had an exponential dependency in the rank of the free group. It follows that the primitivity problem – to decide whether a word is an element of some basis of the free group – and the free factor problem can also be solved in polynomial time.

Resultados del test de consumidores de manzana del proyecto ISAFRUIT

El IRTA ha coordinado el desarrollo de un test de consumidores de nuevas variedades de manzana que se ha desarrollado dentro el programa de trabajo denominado ‘Implementación de nuevas variedades de manzana en base a las preferencias de los consumidores’ en el marco del proyecto europeo de investigación ISAFRUIT. En este programa de trabajo han participado 14 instituciones de investigación, universidades y empresas de Europa

Markup Test Reader: eina de creació i lectura de formularis de test

El projecte exposat en aquestes pàgines és un document d'estudi, anàlisi, disseny, programació i procés de proves en la confecció d'una aplicació de creació i lectura de formularis de test. Aquesta aplicació parteix de les possibilitats de millora de les prestacions, usabilitat i escalabilitat que poden oferir les tècniques de visió en computador en aquest camp. El projecte s'ha basat en un exemple en concret per tal d'oferir una eina vàlida per a la automatització de les tasques que en una empresa de recursos humans es poden donar a l'hora de gestionar la informació dels test psicotècnics que necessiten gestionar. El projecte parteix d'unes premisses bàsiques tals com: l'ús de tècniques en visió per computador, la modularitat, el compliment d'estàndards, la facilitat d'ús i la facilitat en la gestió de canvis.

Addressing the net balances problem as a prerequisite for EU budget reform: a proposal

Conflict among member states regarding the distribution of net financial burdens has been allowed to contaminate the entire design of the EU budget with very negative consequences in terms of equity, efficiency and transparency. To get around this problem and pave the way for a substantive budget reform, we propose to decouple distributional negotiations from the rest of the budget process by linking member state net balances in a rigid manner to relative prosperity. This would be achieved through the introduction of a system of compensating horizontal transfers that would take to its logical conclusion the Commission's proposal for a generalized compensation mechanism. We discuss the impact of the proposed scheme on member states? incentives and illustrate its financial implications using revenue and expenditure projections for 2013 that are based on the current Financial Perspectives and Own Resources Decision.

Orbit decidability and the conjugacy problem for some extensions of groups

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The generic Hanna Neumann conjecture and post correspondence problem

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H-Link simulator

Aquest projecte intenta donar solució al problema amb el qual s’ha trobat la empresa Hitachi Air Conditioning Products SA a la hora de fer probes durant el desenvolupament del seu principal producte, el CSNet Web. El simulador que s’ha realitzat en aquest projecte pretén reproduir la topologia d’una xarxa d’unitats d’aire condicionat per a que el CSNet Web les interpreti com si aquestes màquines fossin reals. Per a aconseguir-ho, el simulador reproduirà les comunicacions entre aquestes màquines i el CSNet Web.

The simultaneous conjugacy problem in groups of piecewise linear functions

Guba and Sapir asked, in their joint paper [8], if the simultaneous conjugacy problem was solvable in Diagram Groups or, at least, for Thompson's group F. We give an elementary proof for the solution of the latter question. This relies purely on the description of F as the group of piecewise linear orientation-preserving homeomorphisms of the unit. The techniques we develop allow us also to solve the ordinary conjugacy problem as well, and we can compute roots and centralizers. Moreover, these techniques can be generalized to solve the same questions in larger groups of piecewise-linear homeomorphisms.

Symmetry for a Dirichlet-Neumann problem arising in water waves

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The non-linear Dirichlet problem in Hadamard manifolds

We prove existence theorems for the Dirichlet problem for hypersurfaces of constant special Lagrangian curvature in Hadamard manifolds. The first results are obtained using the continuity method and approximation and then refined using two iterations of the Perron method. The a-priori estimates used in the continuity method are valid in any ambient manifold.