Multi-restricted numbers and powers of permutation representations

Let (Q, G) be a permutation representation. The restricted diagonal action of G on the subset of Qn containing n-tuples in which no elements appear more than m times, the so-called multi-restricted power of permutation representation with restriction m, is studied. The orbit decompositions of these actions involve a new class of numbers, the so-called multi-restricted numbers of the first and second kinds with restriction m. The multi-restricted numbers of the second kind without a restriction are the Stirling numbers of the second kind, and the multi-restricted numbers of the second kind with restriction 2 are reparametrized coefficients of Bessel polynomials, the so-called Bessel numbers. The multi-restricted numbers of the second kind with the restriction m ≥ 3 are entirely new, and this thesis is devoted to a study of this new series of numbers

Generating b-nomial numbers

This paper presents three new ways to generate each type of b-nomial numbers: We develop ordinary generating functions, we find a whole new set of recurrence relations, and we identify each b-nomial number as a single binomial coefficient or as an alternating sum of products of two binomial coefficients

La evolución del léxico del interiorismo desde el siglo XVIII hasta la primera mitad del siglo XX

No contamos con trabajos que delimiten el significado de la palabra interiorismo, por lo que es esencial acotarla y definirla adecuadamente. Según el diccionario académico, el interiorismo es "Arte de acondicionar y decorar los espacios interiores dela arquitectura". La palabra interiorismo, aúna, pues, un aspecto funcional y otro estético, el primero se expresa con el verbo acondicionar (se refiere a proveer de una cierta condición o calidad); el segundo, por su parte, remite a la dimensión artística, puesto que emplea el verbo decorar. El presente trabajo se centra en la decoración mediante los objetos domésticos o interiores de las viviendas. si bien también se ha buscado la conexión del interiorismo con la arquitectura y sus técnicas, incluso con distintas artes decorativas. Se ha elegido el estudio de la evolución del léxico del interiorismo, porque integra parcialmente el de distintas especialidades y también por la idoneidad del tema para avanzar en el conocimiento de la sociedad y la cultura del periodo que comprende desde el siglo XVIII hasta el primer tercio del siglo XX, por ello se ha tenido en cuenta cómo repercutieron en la decoración de interiores los principales movimientos artísticos. El interés por la decoración distingue a personas preocupadas por la elegancia y el arte en general, movidas por el anhelo de perseguir la belleza ..

What most Matters in Strengthening Educational Competitiveness?: An Application of FS/QCA Method

AbstractThis study was conducted in order to investigate the relationships between different factors affecting educational competitiveness, which is crucial to enhancing national competitiveness in every country, and to put forward policy implications whereby each country may raise the level of its educational competitiveness. PISA score was selected as an indicator representing the educational competitiveness of 22 OECD countries, and this included some independent variables, such as per capita GDP, total public expenditure on education as a percentage of GDP, and total per capita public expenditure on education (US dollars), affecting educational competitiveness. We employed the fuzzy set analysis method (FS/QCA) to analyze the complex causal relationships among the factors affecting educational competitiveness. The research results show that there are three significant combinations of variables affecting educational competitiveness (PISA score). Model 1 is a configuration of four variables (high total expenditure on education as a percentage of GDP, high total per capita expenditure on education, high ratio of private-source expenditure on education to GDP, and high GDP), and includes Netherlands, Finland, Australia, and Ireland. Model 2 is a configuration of five variables (low total expenditure on education, low total per capita expenditure on education, low ration of students to teaching staff, low private-source expenditure on education, and low GDP, and includes Poland. Model 3 is a configuration of five variables (low total expenditure on education, low total per capita expenditure on education, high private-source expenditure on education, high ratio of students to teaching staff, and high GDP), and includes Japan. Finally, the study suggests that each country should endeavour to enhance its own educational competitiveness, considering how the factors associated with this relate to each other

A Comparative Analysis of Economic Regionalism in Europe and East Asia: A Historical Institutionalist Approach

Despite several similarities in the rise and development of economic regionalism, widely different institutional arrangements have been formed in Europe and East Asia. Rational-functionalist approaches do not provide an appropriate explanation of why this is so. This paper seeks to answer this question by borrowing insights from historical institutionalist accounts. The research shows that economic interdependence and policy needs alone cannot explain the timing of regional economic initiatives and the path-dependent nature of institutional development. Historical and structural conditions including external pressures and their nature can have long-term effects on institutional forms. Human factors, however, including ideas and leadership can play a crucial role as well, especially in times of historical and structural changes