Auspicious Symbols of Rank and Status

Dynamics of Status Symbols and Social Complexity

the relationship between using language learning strategies, learners’ optimism, educational status, duration of learning and demotivation

with the growth of more humanistic approaches towards teaching foreign languages, more emphasis has been put on learners’ feelings, emotions and individual differences. one of the issues in teaching and learning english as a foreign language is demotivation. the purpose of this study was to investigate the relationship between the components of language learning strategies, optimism, duration o...

Modular Symbols for Q-rank One Groups and Voronoǐ Reduction

Let G be a reductive algebraic group of Q-rank one associated to a self-adjoint homogeneous cone defined over Q, and let Γ ⊂ G be a torsion-free arithmetic subgroup. Let d be the cohomological dimension of Γ. We present an algorithm to compute the action of the Hecke operators on H(Γ;Z). This generalizes the classical modular symbol algorithm, when Γ ⊂ SL2(Z), to a setting including Bianchi gro...

Dynamics of Status Symbols & Social Complexity

In this paper, a symbolic version of the Simmel effect has been explored via computer simulation. By Simmel effect, we mean the dynamics of status symbols in hiearchically ordered societies. This phenomemon was highligthed by the sociologist Georg Simmel (1895), when he attempted to explain the rapid diffusion and decline of fashion. Simmel, hypothesised that the instability of fashion results ...

Inequalities for full rank differences of 2-marked Durfee symbols

In this paper, we obtain infinitely many non-trivial identities and inequalities between full rank differences for 2-marked Durfee symbols, a generalization of partitions introduced by Andrews. A certain strict inequality, which almost always holds, shows that identities for Dyson’s rank, similar to those proven by Atkin and Swinnerton-Dyer, are quite rare. By showing an analogous strict inequa...