13,696 research outputs found
Area law from loop quantum gravity
We explore the constraints following from requiring the area law in the entanglement entropy in the context of loop quantum gravity. We find a unique solution to the single-link wave function in the large j limit, believed to be appropriate in the semiclassical limit. We then generalize our considerations to multilink coherent states, and find that the area law is preserved very generically using our single-link wave function as a building block. Finally, we develop the framework that generates families of multilink states that preserve the area law while avoiding macroscopic entanglement, the space-time analogue of "Schrödinger's cat." We note that these states, defined on a given set of graphs, are the ground states of some local Hamiltonian that can be constructed explicitly. This can potentially shed light on the construction of the appropriate Hamiltonian constraints in the LQG framework
Biomechanical modeling of gravitropic response of branches: roles of asymmetric periphery growth strain versus self-weight bending effect
Group invariant solutions for the system of harmonic map equations.
Hung Ling Yan Lincoln.Thesis (M.Phil.)--Chinese University of Hong Kong, 2004.Includes bibliographical references (leaves 87-88).Abstracts in English and Chinese.Chapter 1 --- Introduction --- p.5Chapter 2 --- Preliminary --- p.10Chapter 2.1 --- Background in geometry --- p.10Chapter 2.2 --- Background in harmonic maps --- p.12Chapter 3 --- Lie Point Transformations and Symmetries --- p.16Chapter 3.1 --- Definition of symmetries --- p.16Chapter 3.2 --- Determine the Lie point symmetries of partial differential equations --- p.25Chapter 3.2.1 --- Second order differential equations --- p.26Chapter 4 --- Similarity Variables --- p.30Chapter 4.1 --- "Similarity variables and group-invariant, solutions" --- p.30Chapter 4.2 --- Reduction of number of variables of the partial differential equations --- p.34Chapter 4.2.1 --- Determine the similarity variables --- p.34Chapter 4.2.2 --- Procedure to reduce the number of variables of a system of partial differential equations --- p.36Chapter 5 --- Group Invariant Harmonic Maps --- p.38Chapter 5.1 --- Determine the Lie point symmetries of the harmonic map equations --- p.39Chapter 5.2 --- Reduction of harmonic map equations to ordinary differ- ential equations --- p.54Chapter 5.3 --- Solving the harmonic map system which has been reduced to ordinary differential equations --- p.62Chapter 5.3.1 --- Case 1 of Theorem 5.2.1 --- p.62Chapter 5.3.2 --- Case 2 of Theorem 5.2.1 --- p.66Chapter 5.3.3 --- Case 3 of Theorem 5.2.1 --- p.75Bibliography --- p.8
Yuan Hung-tao's Theory of Hsing-ling
While there have been numerous studies of the Ming poet Yuan Hung-tao 袁宏道, or Yüan Chung-lang 袁中郞, (1568-1610), they have for the most part dealt with particular problems and have failed to give a satisfactory explanation of his theory of hsing-ling 性靈. The purpose of this study is to repair this deficiency. Yüan's object in expounding his hsing-ling theory was to remedy the defects of the archaism of the poets of his age, though at the same time he himself had some sympathy for the "return to antiquity" movement. The reason he did not find these two positions mutually contradictory was that he believed that literature must change with time, and that the excellence of a poem can never be guaranteed by the modernity or antiquity of its diction. Thus he declared that there were many fine works among the poetry of the Sung period, which was condemned by the archaists, and designated Po Chü-i and Su Tung-p'o as his ideals. His theories, known by the name of hsing-ling and widely acclaimed in China at the time, are analyzed in this study, as well as his general view of literature, which sprang from his ideals of freedom and naturalness in life
Documents of Ling-shih Hung (令史弘)
Etsin-gol MSS. (居延漢簡) found at Kharakhoto amount to even ten thousand and mostly are fragmentary. It would be very difficult to put them in order. Here the writer wishes to suggest one approach to this purpose. He has collected as many documents as possible concerning Ling-shih Hung (令史弘). He believes that it is possible to make several reasonable groups of documents by thus centering them in such and such individuals
supplementary_material – Supplemental material for Emergency nurse practitioners’ use of a modified Edinburgh red eye diagnostic algorithm: Prospective observational study
Supplemental material, supplementary_material for Emergency nurse practitioners’ use of a modified Edinburgh red eye diagnostic algorithm: Prospective observational study by Lee-Kwan Chuk, Josephine Yuen-Man Chung, Henry Hing-Wai Lau, Ling Yan Leung, Kevin KC Hung and Colin A Graham in Hong Kong Journal of Emergency Medicine</p
Future trends of computer integrated manufacturing in electronics industry of Hong Kong.
by Leung Wing-keung, Joseph, Mok Yan-hung, Albert.Thesis (M.B.A.)--Chinese University of Hong Kong, 1988.Bibliography: leaves 92-93
Tissue location of Vibrio antigen delivered by immersion to tiger shrimp (Penaeus monodon)
Characterization of Cryptocaryon irritans, a parasite isolated from marine fishes in Taiwan
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