curl of product of a scalar and a vector proof

... ∆ b is the sub-Laplacian, R and A 11, 11 are respectively the scalar curva- ture and the second covariant derivative of the torsion of the Tanaka-Webster connection for θ. Thus the integrand ψ θ θ ... Branson-Ørstead [4] and Parker-Rosenberg [20] on the constructions of conformal invariants from the heat kernel k t (x, y) of the conformal Laplacian, and their CR analogue for CR invariant sub-Laplacian by Stanton ... Similar arguments of approximation can be applied to the other cases. In the following we prove the theorems in the real analytic category. 4.1. Proof of Theorem 1. Taking a real analytic family of...

Ngày tải lên: 16/02/2014, 05:20

... X; a subvariety of X has a cycle class in the dual of a rational homology space of X and the duals of these cycle classes span a subspace of homology, which might be large. Up to normalisation, ... DAMIAN ROESSLER Recall that an Artin character of Q is a character of a finite dimensional complex representation of the automorphism group of the normalisation  Q of Q over Q, which is trivial ... the case of Dirichlet characters has been tackled up to now; obtaining a proof of Conjecture A for nonabelian Artin characters (i.e. for abelian varieties with complex multiplication by a field whose...

Ngày tải lên: 14/03/2014, 22:20

... Chongsa-nguan, M. & Chaicumpa, W. (2001) Localization of Shiga toxins of entero- haemorrhagic Escherichia coli in kidneys of paediatric and geriatric patients with fatal haemolytic uraemic ... immunostaining (Fig. 3Ae) and double immuno- staining with VT1 and anti-Gb 3 (Fig. 3Af) of serial sections. Tubular staining was similar to that observed in type A samples. MAb anti-Gb 3 and VT1 staining ... 2004 Differential carbohydrate epitope recognition of globotriaosyl ceramide by verotoxins and a monoclonal antibody Role in human renal glomerular binding Davin Chark 1,2 , Anita Nutikka 1 , Natasha Trusevych 1,3 ,...

Ngày tải lên: 16/03/2014, 16:20

... per lane). Arrows indicate the migration of c arp apoA-I (27.5 k Da ) and A- II (12.5), respectivel y. Table 1. Bacteriostatic and bactericidal a ctivities o f carp apoA-I and A- II. Each value ... dis- played by carp plasma HDL. Design and evaluation of apoA-I synthetic peptide Based o n our observations and on several studies that have shown that mammalian apoA-I associated to HDL parti- cles ... Pseudomonas sp. and Yersinia ruckeri (Table 1). In addition, purified apoA-II a lso dis- played bacteriostatic activity against the Gram-positive and -negative b acteria a t m icromolar concentrations...

Ngày tải lên: 16/03/2014, 18:20

... dependencies that transformational grammars in their various incarnations have tried to account for can be satisfactorily captured by classes of rules that are non-transformational and at the same Clme ... this language (although for TAG's a proof is not in hand yet), LFG's can generate this language. In a TAG for each elementary tree, we can add mare elementary trees, systematically ... extreme case where the a& apos;s, b's ,and c's can he any order, as long as the number of a& apos;s =the number of b's=the number of c'S. GPSG ~and TAG's cannot generate this...

Ngày tải lên: 24/03/2014, 01:21

... words, occlusal traits that affect dental appearance and have an impact on participants' daily lives may not be captured by IOTN. In addition, DAI has many more measures of malocclusion affecting ... eruption, defects of cleft lip and pal- ate as well as any craniofacial anomaly, Class II and Class III buccal occlusions, and hypodontia. Only the highest scoring trait is used to assess treatment need ... for individuals who have a DHC grade of 4 or 5, or grade 3 with an AC of 6 or above. All other cases were therefore classified as having no need. For DAI, 10 occlusal traits were assessed and a score was...

Ngày tải lên: 18/06/2014, 19:20

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Ngày tải lên: 13/07/2014, 23:27

... Combinatory Categorial Grammar.Ph.D.the- sis, School of Informatics, University of Edinburgh. Alena B¨ohomv a, Jan Hajiˇc, Eva Hajiˇcov a, and Barbora Hladk a. 2003. The Prague Dependency Treebank: ... implementation, each node cannot have more than one forward and one backward extraposed element and one forward and one backward trace. It may be preferable to use list structures instead, especially ... Proceedings of the 41st Annual Meeting of the Association for Computational Lin- guistics, pages 96–103, Sapporo, Japan. Gerald Gazdar, Ewan Klein, Geoffrey K. Pullum, and Ivan A. Sag. 1985. Generalised...

Ngày tải lên: 08/03/2014, 02:21

... denotes a particular individuated person and The War of the Roses a palrticula¢ individumed war. Both the Sul~H'Category relation and the Indiviluates relation provide ways of walking around ... PENMAN This gaper will view a grammar and a lexicon as integral parts of a text production system (PENMAN). This perspective leads to certain recluirements on the form of the grammar and that ... part of conceptuals which has become laxicalized and thus enters into the structure of the vocabulary. There is also a correlation between conceptual organization and the organization of part...

Ngày tải lên: 17/03/2014, 19:20

... that the EngCG disambiguator has a clearly smaller error rate than the probabilistic tagger when a similar (small) amount of ambiguity is permitted in the output. A state -of- the-art statistical ... experimental evaluations. In the current article, these points of criticism were investigated. A state -of- the-art statistical tagger, capable of performing error-rate-ambiguity tradeoff, was trained ... essentially statistical language models automat- ically derived from usually hand-annotated corpora. These corpus-based models can be represented e.g. as collocational matrices (Garside et al....

Ngày tải lên: 17/03/2014, 23:20

... 18 cm and 12 cm, and the lateral faces are inclined to the plane of the greater base at an angle of 45°. Find the altitude and the lateral edge of this truncated pyramid and the altitude of the ... sides of a parallelogram are equal to a and b (a < b), and the angle between them to a. Determine the area of the quadrilateral formed by the bisectors of the angles of the parallelogram. 260. ... the area of the diagonal sect ion. 536. Find the areas of the diagonal sections of a quad- rangular pyramid whose base is a parallelogram with the sides 23 cm and 11 cm long. The diagonals of...

Ngày tải lên: 08/04/2014, 10:41

Ngày tải lên: 28/06/2014, 20:20

... pig and human; L in rat), 680 (L in pig and human; I in rat), 760 (K in pig; R in rat and human), 991 (A in pig and human; S in rat), 1009 (M in pig and human; R in r at) and 1023 (L in pig and ... visualization as described in Materials and methods. Lectin TRH-degrading Brain enzyme Serum enzyme Liver enzyme SNA (Sambucus nigra A. ) – + + GNA (Galanthus nivalis A. ) + – – MAA (Maackia amurensis ... access t o s tandard chow and water ad libitum . Preparation of tissue homogenates and serum After the animals were killed, blood and tissues were immediately collected. S erum was obtained after...

Ngày tải lên: 31/03/2014, 21:21

Ngày tải lên: 08/08/2012, 17:20