Physical space approach to wave equation bilinear estimates revisit

In the paper by Klainerman, Rodnianski and Tao \cite{Klainerman-Rodnianski-Tao}, they give a physical space proof to a classical result of Klainerman and Machedon \cite{Klainerman-Machedon} for the bilinear space-time estimates of null forms. In this paper, we shall give an alternative and very simple physical space proof of the same bilinear estimates by applying div-curl type lemma of Zhou \cite{Zhou} and Wang-Zhou \cite{Wang-Zhou-1}, \cite{Wang-Zhou-2}. As far as we known, the later development of wave maps \cite{Sterbenz-1}, \cite{Sterbenz-2}, \cite{Tao-1}, \cite{Tao-2}, \cite{Tataru-1}, \cite{Tataru-2}, and the proof of bounded curvature conjecture \cite{Klainerman-Rodnianski-Szeftel-1}, \cite{Klainerman-Rodnianski-Szeftel-2} rely on basic idea of Klainerman and Machedon \cite{Klainerman-Machedon} as well as Klainerman, Rodnianski and Tao \cite{Klainerman-Rodnianski-Tao}

Disillusionment with Chinese culture in the 1880s : Wang Tao\u27s Three classical tales

Leading scholars of modern Chinese literature have long discussed how the May Fourth became a hegemonic force and have sought to uncover the “burdens of May Fourth”; that is, those discourses eclipsed by the May Fourth intellectuals as they promoted the goal of openness and pluralism in the New Culture Movement. They have discovered Chinese modernity in the Late Qing writings as early as the mid-nineteenth century, decades before the May Fourth movement. Particularly, some scholars have argued that features of modernity might have stemmed from indigenous genres or classical language. My study of how the West is portrayed in three classical tales written by the pioneering Late Qing thinker Wang Tao 王韜 in the 1880s contributes to this discussion. These three classical tales, “Biography of Mary” 媚梨小傳, “Travel Overseas” 海外壯遊, and “Wonderland under the Sea” 海底奇境, were first published as literary supplements in Dianshizhai Pictorial 點石齋畫報 and later reprinted in Wang Tao’s story collection Songyin manlu 淞隱漫錄. They are notable because they represent the first tales in Chinese literary history to imagine Western cities and Western women—as opposed to any other places or races or ethnicities—in a period when Chinese intellectuals had begun looking to the West for ways to modernize their nation.5 I argue that these three tales reveal signs of disillusionment with traditional Chinese culture surfacing as early as the 1880s, a time when most reformers were advocating solely for technological and institutional changes. Even more interesting, modern sentiments are expressed in classical Chinese. Wang Tao utilized the traditional narrative form of the classical tale to lament the degeneration of the very civilization in which it had flourished

Tiles with no spectra

We exhibit a subset of a finite Abelian group, which tiles the group by translation, and such that its tiling complements do not have a common spectrum (orthogonal basis for their L-2 space consisting of group characters). This disproves the Universal Spectrum Conjecture of Lagarias and Wang [7]. Further, we construct a set in some finite Abelian group, which tiles the group but has no spectrum. We extend this last example to the groups Z(d) and R-d (for d >= 5) thus disproving one direction of the Spectral Set Conjecture of Fuglede [1]. The other direction was recently disproved by Tao [12]

La influencia del taoísmo y el budismo en la poesía china de paisaje: los casos de Tao Yuanming, Wang Wei y Feng Zhi

This article analyses the relationship between poetry and nature through Chinese landscape poetry. The study focuses on three Chinese poets from three different periods of Chinese history: Tao Yuanming, Wang Wei and Feng Zhi. Through the poet Tao Yuanming, the influence of Taoism on landscape poetry, the influence of Buddhism on Wang Wei's poetry and the influence of both Taoism and Buddhism and modern European thought on Feng Zhi's poetry are analysed. In short, this article aims to highlight respect for nature in Chinese poetry, both in classical and modern poetry.En este artículo se analiza la relación de la poesía y la naturaleza a través de la poesía china de paisaje. El estudio se ha centrado en tres poetas chinos pertenecientes a tres épocas diferentes de la historia de este país: Tao Yuanming, Wang Wei y Feng Zhi. A través del poeta Tao Yuanming se analiza la influencia del taoísmo en la poesía de paisaje, la huella del budismo en la poesía de Wang Wei y la influencia tanto del taoísmo y el budismo como del pensamiento moderno europeo en la poesía de Feng Zhi. En suma, con este artículo se quiere poner en valor el respeto hacia la naturaleza en la poesía china, tanto en la poesía clásica como en la poesía moderna

On Fuglede’s conjecture and the existence of universal spectra

Recent methods developed by, Too [18], Kolountzakis and Matolcsi [7] have led to counterexamples to Fugelde's Spectral Set Conjecture in both directions. Namely, in R(5) Tao produced a spectral set which is not a tile, while Kolountzakis and Matolcsi showed all example of a nonspectral tile. In search of lower dimensional nonspectral tiles we were led to investigate the Universal Spectrum Conjecture (USC) of Lagarias and Wang [14]. In particular, we prove here that the USC and the "tile --> spectral " direction of Fuglede's conjecture are equivalent in any dimensions. Also, we show by an example that the sufficient condition of Lagarias and Szabo [13] for the existence of universal spectra is not necessary. This fact causes considerable difficulties in producing lower dimensional examples of tiles which have no spectra. We overcome these difficulties by invoking some ideas of Revesz and Farkas [2], and obtain nonspectral tiles in R(3)

CLMV準地域におけるアグリビジネスへの直接投資：国境を越えた悪影響の防止とタイ国の域外義務の確保

京都大学新制・課程博士博士(経済学)甲第24775号経博第670号新制||経||303(附属図書館)京都大学大学院経済学研究科経済学専攻(主査)教授 久野 秀二, 教授 田中 彰, 准教授 WANG Tao学位規則第4条第1項該当Doctor of EconomicsKyoto UniversityDGA

現場の制度的メカニズム：場所、個人、と実践

京都大学新制・課程博士博士(経済学)甲第24307号経博第659号新制||経||302(附属図書館)京都大学大学院経済学研究科経済学専攻(主査)准教授 WANG Tao, 教授 澤邉 紀生, 教授 山内 裕, 准教授 Thinley Tharchen学位規則第4条第1項該当Doctor of EconomicsKyoto UniversityDGA

Concerto Competition Final Round

Sponsored by Dr. Elizabeth E. Force Jury Ross Harbaugh, cello Jose Lopez, piano Luciano Magnanini, bassoon Piano Accompanists Jodie DeSalvo Lisa Leonard Tao Lin Edward Turgeon Finalists Jessica Sherer, flute - Ibert, Flute Concerto Vuctor Coo, cello - Elgar, Cello Concerto Martin Gueorguiev, cello - Dvorak, Rondo Shoko Hino, piano - Barber, Piano Concerto Ying Huang, piano - Brahms, Piano Concerto No. 1 Cristian Mandu, violin - Tchaikovsky, Violin Concerto Irena Momchilova, viola - Bruch, Romance Alexander Plotkin, bassoon - Weber, Bassoon Concerto, Op. 75 Alexander Tchobanov, piano - Rachmaninoff, Piano Concerto No. 2 Angel Valchinov, violin - Tchaikovsky, Violin Concerto Cristina Vaszilcsin, violin - Sibelius, Violin Concerto Migzhe Wang, clarinet - Mozart, Clarinet Concert