Hierarchical spherical model from a geometric point of view

A continuous version of the hierarchical spherical model at dimension d=4 is investigated. Two limit distributions of the block spin variable X(gamma), normalized with exponents gamma = d + 2 and gamma=d at and above the critical temperature, are established. These results are proven by solving certain evolution equations corresponding to the renormalization group (RG) transformation of the O(N) hierarchical spin model of block size L(d) in the limit L down arrow 1 and N ->infinity. Starting far away from the stationary Gaussian fixed point the trajectories of these dynamical system pass through two different regimes with distinguishable crossover behavior. An interpretation of this trajectories is given by the geometric theory of functions which describe precisely the motion of the Lee-Yang zeroes. The large-N limit of RG transformation with L(d) fixed equal to 2, at the criticality, has recently been investigated in both weak and strong (coupling) regimes by Watanabe (J. Stat. Phys. 115:1669-1713, 2004) . Although our analysis deals only with N = infinity case, it complements various aspects of that work.

A Morphological View of the Sodium 4,4 `-Distyrylbiphenyl Sulfonate Fluorescent Brightness Distribution on Regenerated Cellulose Fibers

Evidence of the sorption of the whitening agent sodium 4,4`-distyrylbiphenyl sulfonate in the presence of the anionic surfactant sodium dodecylsulfate or the cationic surfactant dodecyl trimethyl ammonium chloride on regenerated cellulose fibers is given by several microscopy techniques. Scanning electron microscopy provided images of the cylindrical fibers with dimensions of 3.5 cm (length) and 13.3 mu m (thickness), with empty cores of 1 mu m diameter and a smooth surface. Atomic force microscopy showed a fiber surface with disoriented nanometric domains using both tapping-mode height and phase image modes. Atomic force microscopy also showed that the whitening agent and surfactant molecules were sorbed onto the fiber surface, in agreement with the adsolubilization sorption model. Transmission electron microscopy showed fibers with nanometric parallel cylinders, surrounded by holes where the fluorescent whitening molecules accumulated. On the basis of these techniques, we conclude that the sorption process occurs preferentially on the fiber surface in contact with the water solution, and under saturated conditions, the whitening agent penetrates into the pores and are simultaneously sorbed on the pore walls bulk, forming molecular aggregates. (C) 2010 Wiley Periodicals, Inc. J Appl Polym Sci 2321-2327, 2010

The mitochondrial view of Blastocladiella emersonii

The mitochondrial genome of the chytrid Blastocladiella emersonii was sequenced and annotated, revealing the complete set of oxidative phosphorylation genes and tRNAs/rRNAs necessary for the translation process. Phylogenetic reconstructions reinforce the proposal of the new phylum Blastocladiomycota. Evidences of gene duplication due to inserted elements suggest shared susceptibility to gene invasion/exchange between chytrids and zygomycetes. The gene content of B. emersonii is very similar to Allomyces macrogynus but the content of intronic and changeable elements is much lower suggesting a stronger resistance to this kind of exchange. in addition, a total of 401 potential nuclear transcripts encoding mitochondrial proteins were obtained after B. emersonii EST database scanning using Saccharomyces cerevisiae, Homo sapiens and Arabidopsis thaliana data as probes and TargetP tool to find N-terminal mitochondrial signal in translated sequences. (c) 2008 Elsevier B.V. All rights reserved.

View of the library at the New York Trade School

This photograph shows several empty tables and a few shelves in the library at the New York Trade School. Black and white photograph.

View of Air Conditioning and Refrigeration classroom at the New York Trade School

This black and white photograph shows classroom space of the Air Conditioning/Refrigeration Dept. empty of students. Black and white photograph.

View of drafting section in Air Conditioning Department of the New York Trade School

Students are shown working in the drafting section of the Air Conditioning Department of the New York Trade School. Black and white photograph that has some damage around the edges.

View of the library at the New York Trade School (2)

This is a view of the library at the New York Trade School, which was taken at a slightly different time than Photo73 as shown by the different wall hangings, namely the addition of a stuffed deer on the wall. Photograph is black and white and slightly fading.

View of Lithography Lab at the New York Trade School

Part of a lithography lab at the New York Trade School is depicted in this photograph. To the right sample prints are hung on a board, while other prints can be seen on the table, possibly drying. Black and white photograph.