“前七子”诗补注三则

明代“前七子”两大领袖之一的何景明有一首《武关》诗，诗云：“北转趋刘坝，西盘出武关。微茫一线路．回合万重山。天地几龙战，风云惟鸟还。关门锁溪水，日夜送潺湲。”对于该诗的最后两句，在《明诗选注》(黄瑞云选，中州古籍出版社1990年出版)该诗的注③中，我只是简单地注日：“潺湲(chan yuan)，溪水流动貌。

Relationships Between Fractal Road and Drainage Networks in Wuling Mountainous Area:Another Symmetric Understanding of Human-Environment Relations

Symmetrical relationships between humans and their environment have been referred to as an extension of symmetries in the human geographical system and have drawn great attention. This paper explored the symmetry between physical and human systems through fractal analysis of the road and drainage networks in Wuling mountainous area. We found that both the road and drainage networks reflect weak clustering distributions. The evolution of the road network shared a significant self-organizing composition, while the drainage network showed obvious double fraetal characteristics. The geometric fractal dimension of the road network was larger than that of the drainage network. In addition, when assigned a weight relating to hierarchy or length, neither the road network nor drainage network showed a fractal property. These findings indicated that the fractal evolution of the road network shared certain similarities with fractal distribution of the drainage network. The symmetry between the two systems resulted from an interactive process of destroying symmetry at the lower order and reconstructing symmetry at the higher order. The relationships between the fractal dimensions of the rural-urban road network, the drainage network andthe urban system indicated that the development of this area was to achieve the symmetrical isomorphism of physical-human geographical systems.

New observations on Vetulicola longbaoshanensis from the Lower Cambrian Guanshan Biota(Series 2, Stage 4), South China

Cambrian vetulicolians are enigmatic metazoans which play an important role in understanding the early animal evolution. Vetulicola longbaoshanensis Yang et al., 2010 is a unique species reported from the Guanshan Biota, Cambrian Series2, Stage 4 at eastern Yunnan, South China, which expands our understanding of vetulicolians. Here, new exceptionally preserved materials of V. longbaoshanensis from the Lower Cambrian Wulongqing Formation(which yields the so-called Guanshan Biota)in both Wuding and Kunming areas are described, in which the gill structures of V. longbaoshanensis are well preserved. The gill structures of our fossils are more complicated than those in the type species: the gill sac is gourd-shaped and can be divided into a smaller anterior part and a larger posterior part, prominent gill silt and dense gill filaments present in the joint of the two parts. Comparative analyses indicate that vetulicolians from the Guanshan Biota are similar to the Vetulicola rectangulata Luo et Hu, 1999 from the Chengjiang Biota in gross morphology. However, compared with the V. rectangulata, the Guanshan forms possess a larger body size, a higher length/height ratio of anterior body, and a higher ratio of gill sac width to anterior body height, probably typifying the derive characters anticipated of vetulicolians. These new materials, therefore, shed new light on our understanding of vetulicolians morphology and the early evolution of the gill structures.

Thermodynamic properties of calcium ferrite-type MgAl_2O_4:A first principles study

The diamond anvil cell experiments have revealed that the calcium ferrite(CF)-type aluminous phase is probably an important component of subducted mid-oceanic ridge basalt(MORB) in the lower mantle. In this study, we have performed first principles lattice dynamics calculations for the Mg Al_2O_4 end-member of the aluminous phase based on density functional perturbation theory using two functionals within the local density approximation(LDA) and generalized gradient approximation(GGA) for bracketing the calculated properties at their lower and upper limits, respectively. A simple empirical pressure correction at zero temperature has been applied to both LDA and GGA. The results of room-temperature equation of state(EOS) and zero-pressure thermal expansion calculated by GGA with pressure correction have shown the best agreement with available experimental data. The high-pressure and temperature thermodynamic properties have been obtained using the GGA with correction method. The pressure-volume relations are fitted with a third-order high-temperature Birch-Murnaghan EOS. The isobaric heat capacity, the coefficient of thermal expansion and isothermal bulk modulus are fitted with polynomials and their coefficients are reported in the range of 0–40 GPa and 300–2000 K. The density profile of MORB estimated using the computational thermo-elastic constants supports the hypothesis that the subducted oceanic slabs could gain enough downwelling forces into the lower mantle.