卡塔兰数和卡塔兰常数的表示

介绍了卡塔兰数的来由,用解析方法证明了有关卡塔兰数的一个结论 ,给出了卡塔兰常数的积分表示形式,得到了包含卡塔兰常数的一种计算公式。     

Congruences for finite triple harmonic sums

Zhao (2003a) first established a congruence for any odd prime p>3, S(1,1,1;p)≡-2Bp-3 (mod p), which holds when p=3 evidently. In this paper, we consider finite triple harmonic sum S(α,β,γ;p) (mod p) is considered for all positive integers α,β,γ. We refer to w=α β γ as the weight of the sum, and show that if w is even, S(α,β,γ;p)≡0 (mod p) for p≥w 3; if w is odd, S(α,β,γ;p)≡rBp≥w (mod p) for p≥w, here r is an explicit rational number independent of p. A congruence of Catalan number is obtained as a special case.     

行走路线问题的推广

文章将一道经典的行走路线问题进行了推广,获得了几个有趣的结论,使行走路线问题的结论成为文中定理3的特例。     

Does grammatical aspect influence event conceptualization? The description of translational events in a second language / ¿Influye el aspecto gramatical en la conceptualización del evento? La descripción de eventos de translación en la segunda lengua

Abstract

It has been proposed that there is a relationship between grammatical aspect and event conceptualization. In addition, it has been proposed that grammaticized concepts that do not have obvious counterparts in the world, like aspect, would be more resistant to restructuring when acquiring a second language. Russian and Catalan both have grammatical aspect, though their habitual uses do not completely overlap. In two studies, we analysed the oral narrative production in Catalan of advanced L2 speakers of Catalan whose L1 is Russian and of native Catalan speakers. In study one, we analysed the aspectual framing of the narrative, while in study two, the participants described 48 short video clips depicting different types of translational movement. Although Russian L1 speakers have acquired the means to express aspectual nuances in Catalan, they consistently differed from Catalan native speakers.     

Mobius带上Catalan三角剖分的计数

文[3]定义了Mobius带上的Catalan三角剖分,并计数了这种三角剖分的数目．本文利用生成函数的方法得到了相应的结论．这种推导要比文[3]中的推导简单得多．     

Future Business Innovation in Minority Language Media

This article investigates innovation in the media business models that some European minority-language news organizations are implementing in these times of economic crisis. It entails a shift in the underlying business and service philosophy which interpellates the community and pleads for a change in their mutual relationship. The research is based on the case studies of two private media companies from the Catalan and Basque language media systems that were experiencing economic and financial difficulties. Conducting inspirational advertising campaigns, the news organizations issued a call for readers and non-readers to make a funding commitment to the project, a pledge to provide new revenues and liaisons, while retaining and enhancing the standard income streams. In brief, it is about going back to the basics of active community projects and involvement.