Conceptualization of Space within the Tang Landscape Quatrain

The thesis explores the poet’s creation of conceptualized space within the Tang landscape quatrain in the Tang dynasty (618-907) by usage of literary techniques, the focal point being that of temporal and spatial progression to create dynamic and static space. “Space” within the thesis is defined as the “matrix of which forms emerge, medium in which they are related,” a mentalization and visualization of breadth, depth, and width created within the artistic medium. I argue that the concision of Classical Chinese allows the poet to transcend the linguistic limitations imposed by rules of verse to create boundless, semantic space by constructing vivid tableaus of scene and emotion. In Classical Chinese, there are no verb tenses, no indication of plurality in nouns, and no gender or cases for pronouns. The poet must use language to mold intangible form into tangible existence. The deliberate application of ambiguity is a vital component in the creation of multi-layered dimensions of space within Classical Chinese poetry. The Tang dynasty is often known as the golden age of Chinese poetry, dominated by the emergence of new innovations and form as poetry writing became more ubiquitous. The breaking from traditional rules of verse allowed the poet to uniquely utilize space to further their reflections in their poetry. The thesis examines the poet’s creation of spatiality through two lenses of spatiality: creation of external space through landscape, and secondly, the creation of internal space through mental reflection upon that very landscape. The Tang poet approaches the landscape not only as a place setting, but also as an entire subliminal entity in which he aims to capture with his senses and perceptions to create space in which the reader can visualize. The descriptive poetry of the landscape quatrain is simply not a limitation as a medium of visual communication as Tang poets infuse layers of meaning with the economy of a few characters. The significance of framing this study within traditional poetic concerns is to understand the intersections of nature, landscape, literary technique, and aesthetic experience. There has been much academic scholarship on the poetry of the High Tang by scholars such as James J. Y. Liu, Stephen Owen, Burton Watson, just to name a few. However, the objective of this thesis is to offer a new perspective through the lens of spatial creation. Quatrains written by famous Tang poets, Li Bai (701-762), Wang Wei (701-761), and Meng Haoran (689-740) are selected to illustrate how the technique of progression is uniquely utilized to create depth and perspective of space.Asian Studie

EPR spectrum via entangled states for an Exchange-Coupled Dimer of Single-Molecule Magnets

Multi-high-frequency electron paramagnetic resonance(EPR) spectrum for a supermolecular dimer $[ Mn_4]_2$ of single-molecule magnets recently reported [S. Hill, R. S. Edwards, N. Aliaga-Alcalde and G. Christou(HEAC), Science 302, 1015 (2003)] is studied in terms of the perturbation method in which the high-order corrections to the level splittings of degenerate states are included. It is shown that the corresponding eigenvectors are composed of entangled states of two molecules. The EPR-peak positions are calculated in terms of the eigenstates at various frequencies. From the best fit of theoretical level splittings with the measured values we obtain the anisotropy constant and exchange coupling which are in agreement with the corresponding values of experimental observation. Our study confirms the prediction of HEAC that the two $Mn_4$ units within the dimer are coupled quantum mechanically by the antiferromagnetic exchange interaction and the supermolecular dimer behaviors in analogy with artificially fabricated quantum dots.Comment: 16 pages,2 figures, 2 table

Finding High-Dimensional D-OptimalDesigns for Logistic Models via Differential Evolution

D-optimal designs are frequently used in controlled experiments to obtain the most accurateestimate of model parameters at minimal cost. Finding them can be a challenging task, especially whenthere are many factors in a nonlinear model. As the number of factors becomes large and interact withone another, there are many more variables to optimize and the D-optimal design problem becomes highdimensionaland non-separable. Consequently, premature convergence issues arise. Candidate solutions gettrapped in local optima and the classical gradient-based optimization approaches to search for the D-optimaldesigns rarely succeed. We propose a specially designed version of differential evolution (DE) which is arepresentative gradient-free optimization approach to solve such high-dimensional optimization problems.The proposed specially designed DE uses a new novelty-based mutation strategy to explore the variousregions in the search space. The exploration of the regions will be carried out differently from the previouslyexplored regions and the diversity of the population can be preserved. The proposed novelty-based mutationstrategy is collaborated with two common DE mutation strategies to balance exploration and exploitationat the early or medium stage of the evolution. Additionally, we adapt the control parameters of DE as theevolution proceeds. Using logistic models with several factors on various design spaces as examples, oursimulation results show our algorithm can find D-optimal designs efficiently and the algorithm outperformsits competitors. As an application, we apply our algorithm and re-design a 10-factor car refueling experimentwith discrete and continuous factors and selected pairwise interactions. Our proposed algorithm was able toconsistently outperform the other algorithms and find a more efficient D-optimal design for the problem