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Characterization of isolated homogeneous hypersurface singularities in C^4

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Science China Mathematics 2006年第11期49卷 1576-1592页

作者： YAU Stephen S T Department of Mathematics Statistics and Computer Science University of Illinois at ChicagoChicagoIL 60607-7045USA

Let V be a hypersurface with an isolated singularity at the origin in Cn+1. It is a natural question to ask when V is defined by weighted homogeneous polynomial or homogeneous polynomial up to biholomorphic change of coordinates. In 1971, a beautiful theorem of Saito gives a necessary and sufficient condition for V to be defined by a weighted homogeneous polynomial. For a two-dimensional isolated hypersurface singularity V, Xu and Yau found a coordinate free characterization for V to be defined by a homogeneous polynomial. Recently Lin and Yau gave necessary and sufficient conditions for a 3-dimensional isolated hypersurface singularity with geometric genus bigger than zero to be defined by a homogeneous polynomial. The purpose of this paper is to prove that Lin-Yau's theorem remains true for singularities with geometric genus equal to zero.

关键词： homogeneous polynomials, hypersurface singularity, weighted homogeneous polynomial, geometric genus.

Vud, Vus, THE CABIBBO ANGLE, AND CKM UNITARITY

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Chinese Physics C 2016年第10期40卷 710-713页

作者： E. Blucher W.J. Marciano univ. of chicago BNL

The Cabibbo-Kobayashi-Maskawa （CKM） [1,2] threegeneration quark mixing matrix written in terms of the Wolfenstein parameters （λ, A, p, η） [3] nicely illustrates the orthonormality constraint of unitarity and cen...

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LEPTONIC DECAYS OF CHARGED PSEUDOSCALAR MESONS

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Chinese Physics C 2016年第10期40卷 731-745页

作者： J. Rosner S. Stone R. Van de Water univ. chicago Syracuse univ. FNAL

We review the physics of purely leptonic decays of 7π^±, K^±, D±, Ds±, and B± pseudoscalar mesons. The measured decay rates are related to the product of the relevant weak-interactionbased CKM matrix element of the constituent quarks and a strong interaction parameter related to the overlap of the quark and antiquark wave-functions in the meson, called the decay constant .fp.

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Translational machinery and translation regulation in axon regeneration

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Neural Regeneration Research 2025年第5期20卷 1392-1394页

作者： Homaira Nawabi Stephane Belin univ.Grenoble Alpes InsermU1216Grenoble Institut NeurosciencesGrenobleFrance

Over the centuries,the regeneration field has been puzzled by the dual response of the central nervous system(CNS-brain,spinal cord,cranial nervesⅠandⅡ)and the peripheral nervous system(PNS that refers to all the nerves that innervate muscles,skin,organs,bones among others).Even Ramon y Cajal had noticed that an injury to the PNS often leads to axon regrowth,in contrast to the CNS.

关键词： nerves organs muscles

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COSMIC RAYS

Chinese Physics C 2016年第10期40卷 421-428页

作者： J.J. Beatty J. Matthews S.P. Wakely Ohio State univ. Louisiana State univ. univ. of chicago

29.1. Primary spectra The cosmic radiation incident at the top of the terrestrial atmosphere includes all stable charged particles and nuclei with lifetimes of order 108 years or longer. Technically, ＂primary＂ cosmic rays are those particles accelerated at astrophysical sources and ＂secondaries＂ are those particles produced in interaction of the primaries with interstellar gas. Thus electrons, protons and helium, as well as carbon, oxygen, iron, and other nuclei synthesized in stars, are primaries. Nuclei such as lithium, beryllium, and boron （which are not abundant end-products of stellar nucleosynthesis） are secondaries. Antiprotons and positrons are also in large part secondary. Whether a small fraction of these particles may be primary is a question of current interest.

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Chinese Law in Imperial Eyes： Sovereignty, Justice, and Transcultural Politics. New York： Columbia university Press, 2016

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Frontiers of Literary Studies in China-Selected Publications from Chinese universities 2017年第3期11卷 576-580页

作者： Ransmeier, Johanna Sirera univ chicago Chicago IL 60637 USA

The Qing dynasty＇s encounter with Western empires is best understood as representing neither a clash of civilizations, nor China＇s failure to adapt to supposedly more sophisticated modes of commerce and governance. Instead, historians ought to turn their attention to the mutually constitutive processes of diplomatic and legal exchange that dominated the period leading up to the first opium conflict. In Chinese Law in Imperial Eyes,

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Saul Bellow and Modern American Fiction

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Comparative Literature:East & West 2001年第2期 1-17页

作者： Mark Krupnick The univ. of chicago

Saul Bellow has been America’s leading novelist for nearly 40 years. This essay has three chief aims:1) to define Bellow’s idiosyncratic genius as a writer;and 2) to place him in the context of the modern American *** aid of the latter goal I offer some generalizations about the tradition of American prose fiction.3) My third aim is to provide some bibliographical guidance to literary criticism and interpretation of modern American fiction.

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The Cenozoic mantle magmatism and motion of lithosphere on the north margin of the Tibetan Plateau

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Science China Earth Sciences 2001年第S1期44卷 10-17页

作者：罗照华肖序常曹永清莫宣学苏尚国邓晋福张文会 China univ Geosci Beijing 100083 Peoples R China Chinese Acad Geol Sci Beijing 100037 Peoples R China univ Illinois Dept Earth & Environm Sci Chicago IL 60607 USA

Geodynamic properties and evolution of the lithosphere on the north margin of the Tibetan Plateau are recently hot topics to geoscientists in the world. Have the northern plates been subducting underneath the Plateau? It is still an unsolved problem. One of the keys to solving this problem is to understand the genetic processes of Cenozoic magmas on the north margin of the Tibetan Plateau. However, there is no enough evidence supporting the subduction model. In contrast, a series of evidence indicates that collision-induced huge shearing faults and large-scale crust shortening played a main role in lithosphere motion on the north margin of the Tibetan Plateau. The mantle-derived igneous rocks strictly distribute at the intersections of large strike-slip faults on the north margin of the Plateau. Generation of magmas may be related to local exten-sional condition induced by strike-slipping faults, which lead to lithosphere gravitational instability and collapse, as well as upwelling of the deep hot material. Heat induced by shearing and carried by upwelling hot material may cause partial melting on H2O-bearing mantle.

关键词： northern margin of Tibetan Plateau magmatism subduction collision strike-slip fault deep-seated xenolith.

Ultrafast Optical Kerr Effect of ConjugatedSilver Phenylacetylide Complex Oligomer

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Chinese Chemical Letters 1999年第9期10卷 793-794页

作者： Yi Hui XU Li LIN Jia Gang LUO Boon K. TEO Zong Ju XIA Ying Hua ZOU Hut Ying CHEN (1Department of Chemistry. university of Hinois at chicago. chicago. IL 60680. USA2Department of Physics. Mesoscopic Physics Laboratory. Peking university,Beijing 1008713 univ Illinois Dept Chem Chicago IL 60680 USA Beijing univ Dept Phys Mesoscop Phys Lab Beijing 100871 Peoples R China Beijing univ Dept Chem Inst Polymer Sci Beijing 100871 Peoples R China

Silver phenylacetylide oligomer was found to exhibit prominent third-order nonlinear optical property, with susceptibility chi((3)) of 2.4x10(-14) esu (10(-4) mol/L in 1:1 dimethyl sulfoxide/CHCl3 mixed solution) and second-order hyperpolarizability gamma of 5.18x10(-32) esu via heterodyned ultrafast optical Kerr effect measurement. It existed mainly as 1:1 complex oligomers and polymers as characterized by mass spectroscopy and elemental analysis etc.

关键词： silver phenylacetylide conjugated complex optical Kerr effect