How Do Cultural Classes Emerge from Assimilation and Distinction? An Extension of the Cucker-Smale Flocking Model

When cultural tastes are not neutral but hierarchically matched to social status, people assimilate themselves to higher status by consuming cultural goods while distinguishing themselves from lower status by developing new tastes. Extending the Cucker-Smale model for mutual influence among agents, we examine when and how many cultural classes emerge from continuous distributions of tastes and what conditions those classes satisfy, through the assimilation-distinction mechanism. We simulate the models with different initial distributions of tastes (uniform, normal, and chi-square), given various ranges of 2 parameters: (a) the strength and (b) the range of distinction relative to assimilation. Tastes are flocking and cultural classes emerge when the range of assimilation is much larger than that of distinction. The number of classes increases with the strength of distinction, whereas the distance between classes equals the range of distinction. Some properties of emergent classes are mathematically proved. First, in a two-class system, the stronger distinction, the larger the upper class. Second, in a three-class system, the middle class is necessarily larger than the lower class and likely larger than the upper class. Third, a 3-class system cannot emerge if distinction is weaker than assimilation. These properties are universal and do not depend on the initial distribution of cultural tastes. This independence predicts homogeneous cultural classes emerging across different social conditions. Also, the cultural middle class as the largest group may explain why subjective class consciousness is often higher than objective position. Unless assimilating efforts can reach an infinite range, there emerges a cultural outcast at the lowest end of the cultural hierarchy.     

烯烃聚合高性能FI催化剂的进展

FI催化剂系一近几年发展起来的烯烃聚合高性能催化剂。以它的极高的活性、聚合物分子结构的可控性、多重活性聚合等特性而引人注目。本评述首先进行该催化剂的化学描述,然后分别介绍该催化剂的主要特征、活性中心结构、聚合机理和应用,重点介绍该催化剂的五大特征。     

The effects of external optical feedback on the power penalty of DFB-LD modules for 2.5Gbs−1 optical transmission systems

We report the effects of external optical feedback on the power penalty of commercial distributed feedback laser diode (DFB-LD) modules for 2.5Gbs–1 optical transmission systems. External optical feedback presented to the DFB-LD modules causes the excitation of external cavity modes, resulting in increased relative intensity noise (RIN) and intensity noise ripples at low frequency region below 500MHz. For a 10–10 bit error rate (BER), the minimum power penalty is as much as 1.25dB for a feedback ratio of –8.8dB. An excess power penalty of 0.5dB per 3dB increase in the feedback ratio was also empirically obtained. We suggest that optical isolators in 2.5Gbs–1 DFB-LD modules used in conventional optical transmission systems or WDM systems must have a peak isolation ratio of better than 54.5dB, instead of the previously recommended 30dB, for negligible power penalty induced by external optical feedback.     

Highly Concise Synthesis of 3'-"Up"-ethynyl-5'-methylbicyclo-[3.1.0]-hexyl Purine and Pyrimidine Nucleoside Derivatives Using Rhodium(II) Carbenoid Cycloaddition and Highly Diastereoselective Grignard Reaction

Synthesis of north‐5'‐methylbicyclo[3.1.0]hexyl purine and pyrimidine nucleosides with an ethynyl group at C‐3' position has been successfully accomplished by a facile method. Methylbicyclo[3.1.0]hexanone (±)‐ 5 having three contiguous chiral centers was remarkably simply constructed only by four steps containing a carbenoid insertion reaction in the presence of rhodium(II) acetate dimer and CuSO₄, giving a correct relative stereochemistry of the generated three chiral centers. Upon Grignard reaction of (±)‐ 5 with ethynylmagnesium bromide, exclusive diastereoselectivity was observed. Condensation of glycosyl donor (±)‐ 9 with purine nucleobase afforded only the desired N⁹‐alkylated nucleoside, while condensation with pyrimidine, N³‐benzoylated uracil gave the desired N¹‐alkylated nucleoside (±)‐ 13 with the undesired O²‐alkylated nucleoside (±)‐ 14 . Probably, (±)‐ 14 would be formed due to steric hindrance caused upon approaching for N¹‐alkylation.     

VIBRATION AND STABILITY CONTROL OF SMART COMPOSITE ROTATING SHAFT VIA STRUCTURAL TAILORING AND PIEZOELECTRIC STRAIN ACTUATION

A dual approach based on both structural tailoring and piezoelectric strain actuation, aimed at controlling the free vibration and stability of a spinning circular shaft subjected to axial forces is presented. Due to the involvement in these structural systems of gyroscopic forces and, consequently, of the possible occurrence of divergence and flutter instabilities, the dual control methodology shows a high degree of efficiency toward postponement of the occurrence of these instabilities. The structural model of the shaft as considered in this paper is based on an advanced thin-walled beam that includes the effects of transverse shear, anisotropy of constituent materials, rotatory inertias, etc. The displayed results reveal the synergistic implications of the application of this dual technology toward the enhancement of the dynamic response characteristics and expansion of the domain of stability of these systems.     

A STUDY ON THE VIBRATION CHARACTERISTICS OF A LARGE SIZE KOREAN BELL

Structural elements which determine the vibration and sound properties of the Korean bell are reviewed. Vibration response characteristics under an impact excitation are investigated by the analysis and experiment. Numerical and experimental methods to predict and tune the vibration and sound properties of a large Korean bell (named the New Bosingak Bell) are introduced. Beat phenomenon, which is a very important sound property of the Korean bell, is analytically examined, and an experimental technique to enhance the beat property is proposed.     

Current Fluctuations in a Semiconductor Quantum Dot with Large Energy Spacing

Current fluctuation in electronic systems has been extensively studied due to the fact that they can pro- vide further information of charge transport compared to the conventional conductance measurements. Shot noise is the non-equilibrium electrical fluctuation due to the discrete nature of carriers flowing through a device, reflecting correlation effects. A well-known shot noise power density as uncorrelated charge trans- mission is S - 2el, with I the average current. This Poissonian shot noise can be observed in sys- tems with a single tunnel barrier. Positive or neg- ative correlations between charged particles, induced by the Coulomb interaction and the Pauli exclusion principle, can enhance or suppress shot noise from the Poissonian value. Numerous experimental and the- oretical studies of the shot noise in mesoseopie sys- tems have been carried out on various devices such as self-assembled quantum dots, resonant tunnel- ing diodes,molecular junction devices, quan- tum point contacts,semiconductor quantum dots, and metal atomic chains. Externally driven exci- tations which affect shot noise properties were also investigated.