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The Yang-Mills heat equation with finite action in three dimensions
The existence and uniqueness of solutions to the Yang-Mills heat equation is proven over
eBook
Global regularity for the Yang–Mills equations on high dimensional Minkowski space
This monograph contains a study of the global Cauchy problem for the Yang-Mills equations on (6 1) and higher dimensional Minkowski space, when the initial data sets are small in the critical gauge covariant Sobolev space H˙(n−4)/2A. Regularity is obtained through a certain \"\"microlocal geometric renormalization\"\" of the equations which is implemented via a family of approximate null Crönstrom gauge transformations. The argument is then reduced to controlling some degenerate elliptic equations in high index and non-isotropic Lp spaces, and also proving some bilinear estimates in specially constructed square-function spaces.
eBook
Yinyang : the way of heaven and earth in Chinese thought and culture
\"The concept of yinyang lies at the heart of Chinese thought and culture. The relationship between these two opposing, yet mutually dependent, forces is symbolized in the familiar black and white symbol that has become an icon in popular culture across the world. The real significance of yinyang is, however, more complex and subtle. This brilliant and comprehensive analysis by one of the leading authorities in the field captures the richness and multiplicity of the meanings and applications of yinyang, including its visual presentations. Through a vast range of historical and textual sources, the book examines the scope and role of yinyang, the philosophical significance of its various layers of meanings and its relation to numerous schools and traditions within Chinese (and Western) philosophy. By putting yinyang on a secure and clear philosophical footing, the book roots the concept in the original Chinese idiom, distancing it from Western assumptions, frameworks and terms, yet also seeking to connect its analysis to shared cross-cultural philosophical concerns\"-- Provided by publisher.
Book
Yang-Mills connections on orientable and nonorientable surfaces
In \"\"The Yang-Mills equations over Riemann surfaces\"\", Atiyah and Bott studied Yang-Mills functional over a Riemann surface from the point of view of Morse theory. In \"\"Yang-Mills Connections on Nonorientable Surfaces\"\", the authors study Yang-Mills functional on the space of connections on a principal $G_{\\mathbb{R}}$-bundle over a closed, connected, nonorientable surface, where $G {\\mathbb{R}}$ is any compact connected Lie group. In this monograph, the authors generalize the discussion in \"\"The Yang-Mills equations over Riemann surfaces\"\" and \"\"Yang-Mills Connections on Nonorientable Surfaces\"\". They obtain explicit descriptions of equivariant Morse stratification of Yang-Mills functional on orientable and nonorientable surfaces for non-unitary classical groups $SO(n)$ and $Sp(n)$.
eBook
Hawk of the mind : collected poems
\"The most comprehensive selection of poems by Yang Mu available in English. Translated by noted experts including John Balcom, Steve Bradbury and Andrea Lingenfelter, the volume also contains Yang Mu's prefaces and afterwords to four of his poetry collections, as well as his essay on the origins of Taiwanese poetry. All of this additional material shed light on his poetics. As a member of the first generation of postwar Taiwan, Yang Mu is a modern Taiwanese writer, whose poetry is known for its avant-garde, modernist cosmopolitanism, gracefully combining influences from the best international writing with a reverence for the legacy of classical Chinese poetry. The poems collected in this volume span a wide range of ideas and themes, including Yang Mu's references to music; his comments on social and political reality; his love for nature, and the re-examination of the colonial history of Taiwan. For more than half a century, Yang Mu has been a formative force and the most influential figure on Taiwan's poetry scene. He is widely read in the Chinese-speaking world and has been well received in other parts of the world. Individual volumes of his poetry are available in English, French, German, Japanese, and Swedish\"-- Provided by publisher.
BOOK
Bowen Yang says goodbye to ‘Saturday Night Live’
After seven seasons with “Saturday Night Live,” Bowen Yang took his final bow on Dec. 20.
Streaming Video
A tower built downwards
Written between 2019 and 2021, 'A Tower Built Downwards' is rooted in Yang Lian's living experience of the historical retrogression of Hong Kong, the disaster of Covid-19, and the global spiritual crisis, with an extraordinary cover by Ai Weiwei as metaphor for the book's content.
Book
Enhancement of the Electroluminescence from Amorphous Er-Doped Alsub.2Osub.3 Nanolaminate Films by Ysub.2Osub.3 Cladding Layers Using Atomic Layer Deposition
Amorphous Al[sub.2]O[sub.3]-Y[sub.2]O[sub.3]:Er nanolaminate films are fabricated on silicon by atomic layer deposition, and ~1530 nm electroluminescence (EL) is obtained from the metal-oxide-semiconductor light-emitting devices based on these nanofilms. The introduction of Y[sub.2]O[sub.3] into Al[sub.2]O[sub.3] reduces the electric field for Er excitation and the EL performance is significantly enhanced, while the electron injection of devices and the radiative recombination of doped Er[sup.3+] ions are not impacted. The 0.2 nm Y[sub.2]O[sub.3] cladding layers for Er[sup.3+] ions increase the external quantum efficiency from ~3% to 8.7% and the power efficiency is increased by nearly one order of magnitude to 0.12%. The EL is ascribed to the impact excitation of Er[sup.3+] ions by hot electrons, which stem from Poole-Frenkel conduction mechanism under sufficient voltage within the Al[sub.2]O[sub.3]-Y[sub.2]O[sub.3] matrix.
Journal Article