1,855 research outputs found

    Classical pattern distributions in Sn(132)\mathcal{S}_{n}(132) and Sn(123)\mathcal{S}_{n}(123)

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    Classical pattern avoidance and occurrence are well studied in the symmetric group Sn\mathcal{S}_{n}. In this paper, we provide explicit recurrence relations to the generating functions counting the number of classical pattern occurrence in the set of 132-avoiding permutations and the set of 123-avoiding permutations

    Quadrant marked mesh patterns in 123-avoiding permutations

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    Given a permutation σ=σ1σn\sigma = \sigma_1 \ldots \sigma_n in the symmetric group Sn\mathcal{S}_{n}, we say that σi\sigma_i matches the quadrant marked mesh pattern MMP(a,b,c,d)\mathrm{MMP}(a,b,c,d) in σ\sigma if there are at least aa points to the right of σi\sigma_i in σ\sigma which are greater than σi\sigma_i, at least bb points to the left of σi\sigma_i in σ\sigma which are greater than σi\sigma_i, at least cc points to the left of σi\sigma_i in σ\sigma which are smaller than σi\sigma_i, and at least dd points to the right of σi\sigma_i in σ\sigma which are smaller than σi\sigma_i. Kitaev, Remmel, and Tiefenbruck systematically studied the distribution of the number of matches of MMP(a,b,c,d)\mathrm{MMP}(a,b,c,d) in 132-avoiding permutations. The operation of reverse and complement on permutations allow one to translate their results to find the distribution of the number of MMP(a,b,c,d)\mathrm{MMP}(a,b,c,d) matches in 231-avoiding, 213-avoiding, and 312-avoiding permutations. In this paper, we study the distribution of the number of matches of MMP(a,b,c,d)\mathrm{MMP}(a,b,c,d) in 123-avoiding permutations. We provide explicit recurrence relations to enumerate our objects which can be used to give closed forms for the generating functions associated with such distributions. In many cases, we provide combinatorial explanations of the coefficients that appear in our generating functions

    性理體註正蒙補訓解 : 6 卷 / 張道升, 仇廷桂纂輯 ; 仇廷桂

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    Comprend : Xin kan xing li da quan : 6 juan / Zhou Dun yi zhuan ; Zhu Xi zhu - 新刊性理大全 : 6卷 / 周敦頤撰 ; 朱熹註Avec mode text

    The portrayal of women in Mao Dun's early fiction 1927-1932

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    It is the prevailing critical assessment of Mao Dun's early creative writing that he displays a singular insight in his portrayal of women. This thesis seeks not only to challenge this assessment by a predominantly male body of criticism but also the assumptions on which it is based, namely that an intellectual sympathy for the women’s cause necessarily implies a transcendence of the patriarchal attitudes with which society is imbued. The major short stories and novellas written between 1927 and 1932 are analysed systematically to identify Mao Dun's underlying attitudes towards women. His portrayal of women is assessed from the following perspectives:~ his autobiographical accounts of his encounters with women in his political and personal life and his deliberate association of his female comrades with his creative inspiration;- traditional Chinese perceptions of women and gender roles as these are manifested in the classical tradition;-- Mao Dun's numerous articles and essays on the women's question written during the nineteen twenties and his work in the women's section of the Party in Shanghai;- Mao Dun's attempt to reconcile his conflicting sympathies for feminism and socialism. This thesis relies for its methodology on Western feminist criticism. While the approach is maintained, in its application to the context of early twentieth century China, its eurocentrism in terms of cultural assumptions and perceptions of gender has been replaced by a definition of Chinese values. Since a fundamental prerequisite, of feminist criticism is the assessment of the writer in his/her own cultural context, a historical survey of the portrayal of women in traditional literature is provided to serve as a standard against which to measure Mao Dun’s portrayal

    Pelliot chinois 2913

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    Contient : Da zhi du lun 大 智 度 論 [trad. de Kumārajīva] ; Recueil d'éloges et d'épitaphes ; [-] yin qing guang lu da fu jian jiao guo zi ji jiu jian dian [-] zhen zan [-] 銀 青 光 錄 大 夫 撿 校 國 子 祭 酒 兼 殿 [-] 眞 讚 ; [-] jun jie du shi jian jiao si tu nan yang zhang fu jun mu zhi ming [-] 軍 節 度 使 撿 校 司 徒 南 陽 張 府 君 墓 誌 銘 par Zhang Jing qiu 張 景 球 ; Da tang Dun huang yi jing san zang wu he shang mao zhen zan 大 唐 燉 煌 譯 經 三 藏 吴 和 尚 貌 眞 讚par Zhang [Jing] qiu 張 [景] 球Numérisation effectuée à partir d'un document original

    A translation of nine of the most fashionable quadrilles, consisting of fifty French country dances, as performed in England and Scotland. With explanatory notes. To which are prefixed, a few observations on the style, &c. of the quadrille, the English country dance, and the Scotch reel.

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    The three chapters that make up this manual are devoted to the merits and performance of the French quadrille, a popular ballroom dance performed by four couples who face each other in a square. In recognizing the existence of specific steps appropriate for quadrilles, Dun warns against performing steps used in English country dances or Scotch reels. The manual concludes with the figures for six quadrilles

    sj-docx-1-tan-10.1177_17562864221138148 – Supplemental material for Vigabatrin-associated brain abnormalities on MRI in tuberous sclerosis complex patients with infantile spasms: are they preventable?

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    Supplemental material, sj-docx-1-tan-10.1177_17562864221138148 for Vigabatrin-associated brain abnormalities on MRI in tuberous sclerosis complex patients with infantile spasms: are they preventable? by Lin Wan, Wen He, Yang-Yang Wang, Yong Xu, Qian Lu, Meng-Na Zhang, Qiu-Hong Wang, Shuo Dun, Li-Ying Liu, Xiu-Yu Shi, Jing Wang, Lin-Yan Hu, Bo Zhang, Guang Yang and Li-Ping Zou in Therapeutic Advances in Neurological Disorders</p

    Genesis of the Permian ophiolites and ultramafics in the Dun Mountain terrane, New Zealand

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    The origin of the Patuki ophiolite complex and the Dun Mountain ultramafics of Middle Permian age in Nelson, New Zealand is discussed. The Patuki volcanics have strong affinities with tholeiites of mid ocean spreading ridges transitional to alkaline basalts, similar to those from fracture zones and ocean islands. The Dun Mountain Group, of serpentinites, peridotites, dunites, gabbros, intruded the upper Patuki Group as a linear series of aligned pods and sheets. They carried up with them tectonic inclusions of older rock, which were metasomatised, and altered wall-rock. The rocks did not act as a floor (and alleged source) for the Patuki, but partly post-dated and were emplaced into Patuki. -Author

    Spatial and temporal control of regulated exocytosis by protein and lipid interactions

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    Cellular communication requires the transport of chemical messengers between intracellular compartments and from cell to cell. The regulated exocytosis of a secretory vesicle at the plasma membrane involves the merger of two bilayers, with markedly different lipid composition, within a millisecond time scale. The spatial and temporal control of the protein and lipid complement at these fusion sites is essential. A highly conserved family of proteins are known to drive this fusion event; SNAP-25 and syntaxin-1 (t-SNAREs) associate at the plasma membrane in a 1:1 stoichiometry to provide a binding site for the vesicle-membrane protein synaptobrevin (v-SNARE). The formation of this complex and subsequent fusion requires accessory proteins for efficient calcium-triggered exocytosis; which of these proteins facilitate the initial attachment of vesicle to the plasma membrane prior to fusion is still under debate. Specific sites for vesicle fusion have been proposed and the organisation of lipids and proteins at these fusion sites has been extensively investigated with limited spatial and temporal resolution; however the presence of raft-forming lipids at these sites as well as the arrangement of SNARE proteins at the molecular level is still under contention. The data presented within this thesis aims to elucidate the protein and lipid environment at the fusion site using super-resolution microscopy and advanced vesicle tracking. Under diffraction-limited microscopy the t-SNAREs are visualised as 200 nm homogenous clusters; however I have used single molecule localisation microscopy to reveal a more complex heterogeneous molecular arrangement. Quantification of lipid order exclusively at the plasma membrane provided insight into the influence of cholesterol-induced lipid arrangement on SNAP-25 localisation. In addition the t-SNARE interaction was investigated using TCSPC-FLIM identifying two lipid-order-dependent conformations in distinct clusters at the plasma membrane. Extensive vesicle tracking at optimum sampling rates demonstrated the ‘sampling’ behaviour of LDCVs and allowed characterisation of vesicle fusion sites. In summary I find that vesicles exhibit preference for residence and probably fusion at regions of plasma membrane with a low t-SNARE density; these proteins appear to exert control over exocytosis by adopting alternative conformations that are under cholesterol-induced regulation
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