134 research outputs found

    Non-linear Geometry of Banach Spaces

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    The study of non-linear structure of Banach spaces dates back to a result by Kadets in 1963, which says that every two separable infinite dimensional Banach spaces are homeomorphic. In non-linear geometry of Banach spaces, the functions studied are usually uniformly continuous, Lipschitz or coarse Lipschitz. The fundamental question we always ask ourselves is that, given a non-linear map f from a Banach space X to another Banach space Y , suppose that f has a certain property , is it true that there exists a linear map T from X to Y with the same property?For example, suppose that X, Y are uniformly homeomorphic Banach spaces, is it true that X, Y are linearly isomorphic? Unfortunately, the answer to this question is negative. However, it is of interest to know under what further conditions should be imposed on f (or on X, or on Y ) so that the answer becomes positive. For example it is known that if X is uniformly homeomorphic to a Hilbert space, then X is linearly isomorphic to a Hilbert space.We will give a survey article about the Lipschitz and uniform structures of Banach spaces. The main references include the book by Kalton and Albiac, the article by Kalton and the paper by Godefroy, Lancien and Zizler.Banach空間上非線性結構的研究最早可追溯自Kadets於1963年證明的一項定理,這定理指出所有無限維可分空間都是同胚的。Banach空間之間非線性幾何研究通常會研究一致連續函數、Lipschitz函數或coarse Lipschitz函數。最基本的問題如下:假設f是從某一Banach空間X到另一Banach空間Y的非線性函數,如f滿足特定條件(通常為一一對應函數),會否存在某一線性函數T:X→Y滿足相同條件?例如,設X,Y為一致同胚的Banach空間,那麼X,Y會否為線性同構?於1984年,Ribe給出了一反例。我們繼而想問的是,我們應予f甚麼條件(或予X甚麼條件、或予Y甚麼條件),X, Y才會線性同構?例如,如Y為Hilbert空間,那麼X則與Y線性同構。這篇綜述文章主要以Kalton的文章、Kalton和Albiac的書和Godefroy、Lancien以及Zizler的文章作參考,講述Banach空間非線性幾何的發展以及一些有趣的結果。LIU, Cheuk Lik.M.Phil. Chinese University of Hong Kong 2021.Includes bibliographical references (leaves )Abstracts in English and Chinese.Title from PDF title page (viewed on ...

    Water-soluble polymer-based cantharimides as potentially selective anti-tumor agents

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    US8344007; US8344007 B2; US8344007B2; US8,344,007; US 8,344,007 B2; 8344007; Appl. No. 12/428,488Author name used in this invention: Johnny Cheuk-on TangAuthor name used in this invention: Kim-hung LamAuthor name used in this invention: Chung-hin ChuiAuthor name used in this invention: Marcus Chung Wah YuenUSVersion of Recor

    The Role of Prior Belief in Children's Trust in Testimony: A Social Ecological Approach.

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    Throughout development, we accumulate knowledge about the world around us by reconciling novel information from external sources with our existing beliefs. However, little is known about how the reconciliation process develops, and how its development interacts with the environment. This dissertation explores the relationship between the strength of prior beliefs and children’s trust in testimony, and examines how this relationship operates across different social contexts, developmental stages, and cultures. The cultural investigation, in particular, is organized in relation to the ways in which culturally-shaped beliefs and experiences combine to socialize independent vs. interdependent learners. Across three studies (N = 200), preschoolers, kindergartners, and second-graders in the United States and in Hong Kong categorized objects in the presence of a confederate teacher, who sometimes provided labels that were in conflict with children’s beliefs about the objects. The ambiguity of the objects receiving unexpected labels (ambiguous vs. non-ambiguous) and the social context (the teacher’s presence vs. absence) were manipulated. Converging measures (endorsement of unexpected labels, spontaneous comments, and reaction times) were used to portray multiple aspects of children’s trust behavior. Vignettes of hypothetical transgressions and questionnaire items were further used to elicit trust-relevant perceptions from children and their caregivers. Four key findings emerged from the investigation. First, the strength of prior beliefs influenced trust behavior across all social contexts, ages, and cultures examined. Second, the connection between endorsement and belief strength appeared more fine-tuned in older children. Third, and surprisingly, US kindergartners frequently endorsed unexpected testimony in all of their categorizations, whereas US and Chinese second-graders, and Chinese kindergartners were more selective, categorizing non-ambiguous objects based on their prior beliefs. Finally, the tendency for Chinese learners to be more prevention-focused and vigilant against error than US learners likely contributed to the cross-cultural patterns found in children’s trust in testimony.PhDPsychologyUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue.lib.umich.edu/bitstream/2027.42/84497/1/chancc_1.pd

    Development of a whole cell vaccine for acute myeloid leukaemia

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    We describe the modification of tumour cells to enhance their capacity to act as antigen presenting cells with particular focus on the use of costimulatory molecules to do so. We have been involved in the genetic modification of tumour cells to prepare a whole cell vaccine for nearly a decade and we have a particular interest in acute myeloid leukaemia (AML). AML is an aggressive and difficult to treat disease especially for patients for whom haematopoietic stem cell (HSC) transplant is not an option. AML patients who have a suitable donor and meet HSC transplant fitness requirements, have a 5 year survival of 50%, however for patients with no suitable donor or for which age is a factor, the prognosis is much worse. It is particularly poor prognosis patients, who are not eligible for HSC transplant, who are likely to benefit most from immunotherapy. It would be hoped that immunotherapy would be used to clear residual tumour cells in these patients in the first remission following standard chemotherapy treatments and that this will extend the remission and reduce the risk of a second relapse associated with disease progression and poor mortality rates. In this symposia report we will focus on whole cell vaccines as an immunotherapeutic option with particular reference to their use in the treatment of AML. We will aim to provide a brief overview of the latest data from our group and considerations for the use of this treatment modality in clinical trials for AM

    Minimal stretch factors of orientation-reversing fully-punctured pseudo-Anosov maps

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    27 pages, 6 figuresWe show that the stretch factor λ(f)\lambda(f) of an orientation-reversing fully-punctured pseudo-Anosov map ff on a finite-type orientable surface SS, with χ(S)4-\chi(S) \geq 4 and having at least two puncture orbits, satisfies the inequality λ(f)χ(S)σ2\lambda(f)^{-\chi(S)} \geq \sigma^2, where σ=1+2\sigma=1+\sqrt{2} is the silver ratio. We provide examples showing that this bound is asymptotically sharp. This extends previous results of Hironaka and the third author to orientation-reversing maps

    Minimal stretch factors of orientation-reversing fully-punctured pseudo-Anosov maps

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    We show that the stretch factor λ(f)\lambda(f) of an orientation-reversing fully-punctured pseudo-Anosov map ff on a finite-type orientable surface SS, with χ(S)4-\chi(S) \geq 4 and having at least two puncture orbits, satisfies the inequality λ(f)χ(S)σ2\lambda(f)^{-\chi(S)} \geq \sigma^2, where σ=1+2\sigma=1+\sqrt{2} is the silver ratio. We provide examples showing that this bound is asymptotically sharp. This extends previous results of Hironaka and the third author to orientation-reversing maps.Comment: 27 pages, 6 figure

    Efficient visible light photocatalytic oxidation of NO on F-, N-codoped spherical TiO₂ synthesized via ultrasonic spray pyrolysis

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    Author name used in this publication: Frank S. C. LeeVersion of RecordPublishedC

    GABI-Kat SimpleSearch: new features of the Arabidopsis thaliana T-DNA mutant database

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    Kleinbölting N, Huep G, Klotgen A, Viehöver P, Weisshaar B. GABI-Kat SimpleSearch: new features of the Arabidopsis thaliana T-DNA mutant database. Nucleic Acids Research. 2012;40(D1):D1211-D1215.T-DNA insertion mutants are very valuable for reverse genetics in Arabidopsis thaliana. Several projects have generated large sequence-indexed collections of T-DNA insertion lines, of which GABI-Kat is the second largest resource worldwide. User access to the collection and its Flanking Sequence Tags (FSTs) is provided by the front end SimpleSearch (http://www.GABI-Kat.de). Several significant improvements have been implemented recently. The database now relies on the TAIRv10 genome sequence and annotation dataset. All FSTs have been newly mapped using an optimized procedure that leads to improved accuracy of insertion site predictions. A fraction of the collection with weak FST yield was re-analysed by generating new FSTs. Along with newly found predictions for older sequences about 20 000 new FSTs were included in the database. Information about groups of FSTs pointing to the same insertion site that is found in several lines but is real only in a single line are included, and many problematic FST-to-line links have been corrected using new wet-lab data. SimpleSearch currently contains data from ∼71 000 lines with predicted insertions covering 62.5% of the 27 206 nuclear protein coding genes, and offers insertion allele-specific data from 9545 confirmed lines that are available from the Nottingham Arabidopsis Stock Centre

    Algoritmos para retransmissão de vídeo H.264 em redes sobrepostas

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    Dissertação (mestrado) - Universidade Federal de Santa Catarina, Centro Tecnológico, Programa de Pós-Graduação em Ciência da Computação, Florianópolis, 2010Com a popularização da banda larga os usuários domésticos passaram a consumir diversos serviços multimídia pela Internet: Telefonia IP, rádio, vídeo sob demanda. Por enquanto, em se tratando de vídeos, os principais serviços disponíveis na rede não oferecem as características presentes na TV, ou seja, não são ao vivo e necessitam de buferização, gerando portanto atraso. Eles também requerem uma grande largura de banda nos servidores, linearmente crescente com número de clientes. Através das redes sobrepostas (orientadas a dados) pode-se remediar a falta de suporte ao IP Multicast, que seria uma solução para essa classe de aplicação, sem os problemas com a largura de banda. Entretanto tais redes não especificam o tratamento das perdas de pacotes, de modo que ou estas são ignoradas, ou são recuperadas em qualquer situação. Este trabalho faz uma análise dos recursos do padrão de compressão de vídeo digital H.264 e apresenta critérios claros para retransmissão a partir dos diferentes tipos de codificação presentes nesse formato. Estabelece prioridades a partir desses tipos e define três algoritmos para a escolha de partes perdidas para a recuperação. Um deles (SeRViSO) observa uma meta fixa levando em conta as prioridades, em termos de quanto dos dados deve retransmitir. O segundo (Adaptativo) usa uma meta variável, buscando inicialmente a retransmissão de todas as partes perdidas de um segmento, mas a cada vez que a retransmissão de partes do mesmo segmento for solicitada a meta diminui. O último algoritmo ((m,k)-Firm) também tem metas fixas, mas uma para cada tipo de codificação, e não tolera perdas de partes com o mesmo tipo de codificação muito próximas. Todos eles são definidos dentro do escopo da proposta da rede sobreposta SeRViSO. As vantagens de um tratamento claro das perdas são óbvias: maior adaptação às condições da rede e perdas menos importantes, ou seja, que não redundem em propagação de erro por muitos quadros. Os resultados dos testes com um protótipo confirmam isso, de forma que a perda de partes do tipo mais importante foi consistentemente menor que a perda média
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