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In the present paper we study the well-posedness for the one-dimensional cubic NLS perturbed by a generic point interaction. Point interactions are described as the 4-parameter family of self-adjoint extensions of the symmetric 1D...
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In the present paper we study the well-posedness for the one-dimensional cubic NLS perturbed by a generic point interaction. Point interactions are described as the 4-parameter family of self-adjoint extensions of the symmetric 1D Laplacian defined on the regular functions vanishing at a point, and in the present context can be interpreted as localized defects interacting with the NLS field. A previously treated special case is given by an NLS equation with a delta defect which we generalize and extend, as far as well-posedness is concerned, to the whole family of point interactions. We prove existence and uniqueness of the local Cauchy problem in strong form (initial data and evolution in the operator domain of point interactions), weak form (initial data and evolution in the form domain of point interactions) and L-2(R). Conservation laws of mass and energy are proved for finite energy weak solutions of the problem, which imply global existence of the dynamics. A technical difficulty arises due to the fact that a power nonlinearity does not preserve the form domain for a subclass of point interactions; to overcome it, a technique based on the extension of resolvents of the linear part of the generator to maps between a suitable Hilbert space and the energy space is devised and estimates are given which show the needed regularization properties of the nonlinear flow.
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Films are generally more attractive than other forms of TV shows. Such attractiveness can be enhanced through Steerable plots where the audiences act not merely as passive spectators, but rather as active participants. The product...
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Films are generally more attractive than other forms of TV shows. Such attractiveness can be enhanced through Steerable plots where the audiences act not merely as passive spectators, but rather as active participants. The production of an interactive film requires a narrative structure based on which the plot can be written and expanded. This paper attempted to investigate and propose a new engaging narrative structural model that can be used in TV shows. Moreover, the new model can bring about cost-effectiveness for producers and filmmakers, while enabling the audience to actively create a narrative, switching from one narrative line to another. A successful medium outlet in this competitive arena tends to attract a wider range of audience, leaving a far greater impact on the audience. This is in contrast to ordinary films entailing only one theme and effect. Dubbed as interactive narrative, the newly proposed model can both influence every narrative line and the viewer, which was called a hyper-structure impact in this paper. The final section will explore the experience of producing an interactive short film based on the newly proposed model.
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The Physics teaching process is often based on providing just the information, without telling the student how to put things in practice. The students take the information, memorize and reproduce it, in order to pass exams, withou...
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The Physics teaching process is often based on providing just the information, without telling the student how to put things in practice. The students take the information, memorize and reproduce it, in order to pass exams, without being able to apply the theory in real life situations. Under these circumstances the student is seen only as a consumer of information. New technologies such as interactive whiteboard help the teacher to change student perceptions of learning physics, making the teaching and learning process interactive and focusing on the student. The interactive whiteboard attracts the student in an interactive learning process in which he is able to build his own knowledge. The aim of this paper is to outline the role of the interactive whiteboard in changing the student's attitude towards the physics lessons.
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The dynamic and complex application domains of today demand increased flexibility in inter-agent interactions, i.e. an increased ability of agents to consider changes in the system or behavior of other agents and choose from multi...
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The dynamic and complex application domains of today demand increased flexibility in inter-agent interactions, i.e. an increased ability of agents to consider changes in the system or behavior of other agents and choose from multiple ways of interacting with other agents to achieve the same goals. A number of approaches to support such flexible interactions have been proposed in the existing literature, and we offer an extensive review of these approaches, classifying them according to the manner in which they achieve flexibility. Each type of approaches is appraised using our novel analytical framework. Finally, we demonstrate how this framework can be used to identify which approaches are suitable for a given application domain, and we exemplify this aspect using the domains of e-commerce and dynamic service composition.
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The correlation of gaps in dimer systems was introduced by Fisher and Stephenson (Phys Rev 132:1411-1431, 1963), who looked at the interaction of two monomers generated by the rigid exclusion of dimers on the closely packed square...
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The correlation of gaps in dimer systems was introduced by Fisher and Stephenson (Phys Rev 132:1411-1431, 1963), who looked at the interaction of two monomers generated by the rigid exclusion of dimers on the closely packed square lattice. In previous work we considered the analogous problem on the hexagonal lattice, and we extended the set-up to include the correlation of any finite number of monomer clusters. For fairly general classes ofmonomer clusters we proved that the asymptotics of their correlation is given, for large separations between the clusters, by a multiplicative version of Coulomb's law for 2D electrostatics. However, our previous results required that the monomer clusters consist (with possibly one exception) of an even number of monomers. In this paper we determine the asymptotics of general defect clusters along a lattice diagonal in the square lattice (involving an arbitrary, even or odd number of monomers), and find that it is given by the same Coulomb law. We also obtain a conceptual interpretation for the multiplicative constant as the product of the correlations of the individual clusters.
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Collocated interaction has received growing interest in both academic research and the design of information and communication technological applications. An emergent research topic within this area relates to technological enhanc...
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Collocated interaction has received growing interest in both academic research and the design of information and communication technological applications. An emergent research topic within this area relates to technological enhancement of social interaction. Various envisioned systems aim beyond simply enabling interaction, to actively enhance-i.e., improve the quality or extent of-social interaction between collocated people. However, there is little understanding of the optimal design solutions and roles of technology considering this goal. This literature review outlines the landscape of design explorations in this emergent research topic. We contribute an in-depth study of 92 publications that present relevant solutions or prototypes, analyzing their focus areas, design objectives, and design and evaluation approaches. To contribute with a new theoretical perspective, we identify various roles of technology relevant for enhancement, representing three abstract categories: facilitating, inviting and encouraging. This review helps researchers to describe, analyze, and position relevant prior research and identify gaps in scientific knowledge.
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Ail experimental study is carried out to investigate the three-dimensional instantaneous structure of an incident shock wave/turbulent boundary layer interaction at Mach 2.1 using tomographic particle image velocimetry. Large-scal...
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Ail experimental study is carried out to investigate the three-dimensional instantaneous structure of an incident shock wave/turbulent boundary layer interaction at Mach 2.1 using tomographic particle image velocimetry. Large-scale coherent motions within the incoming boundary layer are observed, in the form of three-dimensional streamwise-elongated regions of relatively low- and high-speed fluid, similar to what has been reported in other supersonic boundary layers. Three-dimensional vortical structures are found to be associated with the low-speed regions, in a way that can be explained by the hairpin packet model. The instantaneous reflected shock wave pattern is observed to conform to the low- and high-speed regions as they enter the interaction, and its organization may be qualitatively decomposed into streamwise translation and spanwise rippling patterns, in agreement with what has been observed in direct numerical simulations. The results are used to construct a conceptual model of the three-dimensional unsteady flow organization of the interaction.
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Proposals to establish a 'science of interaction' have been forwarded from Information Visualization and Visual Analytics, as well as Cartography, Geovisualization, and GIScience. This paper reports on two studies to contribute to...
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Proposals to establish a 'science of interaction' have been forwarded from Information Visualization and Visual Analytics, as well as Cartography, Geovisualization, and GIScience. This paper reports on two studies to contribute to this call for an interaction science, with the goal of developing a functional taxonomy of interaction primitives for map-based visualization. A semi-structured interview study first was conducted with 21 expert interactive map users to understand the way in which map-based visualizations currently are employed. The interviews were transcribed and coded to identify statements representative of either the task the user wished to accomplish (i.e., objective primitives) or the interactive functionality included in the visualization to achieve this task (i.e., operator primitives). A card sorting study then was conducted with 15 expert interactive map designers to organize these example statements into logical structures based on their experience translating client requests into interaction designs. Example statements were supplemented with primitive definitions in the literature and were separated into two sorting exercises: objectives and operators. The objective sort suggested five objectives that increase in cognitive sophistication (identify, compare, rank, associate, & delineate), but exhibited a large amount of variation across participants due to consideration of broader user goals (procure, predict, & prescribe) and interaction operands (space-alone, attributes-in-space, & space-in-time; elementary & general). The operator sort suggested five enabling operators (import, export, save, edit, & annotate) and twelve work operators (reexpress, arrange, sequence, resymbolize, overlay, pan, zoom, reproject, search, filter, retrieve, & calculate). This taxonomy offers an empirically-derived and ecologically-valid structure to inform future research and design on interaction.
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Interaction based on human movement has the potential to become an important new paradigm of human-computer interaction. However, high quality, mainstream movement interaction requires effective tools and techniques to support des...
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Interaction based on human movement has the potential to become an important new paradigm of human-computer interaction. However, high quality, mainstream movement interaction requires effective tools and techniques to support designers. A promising approach to movement interaction design is Interactive Machine Learning, in which designing is done by physically performing an action. This article brings together many different perspectives on understanding human movement knowledge and movement interaction. This understanding shows that the embodied knowledge involved in movement interaction is very different from the representational knowledge involved in a traditional interface, so a very different approach to design is needed. We apply this knowledge to understand why interactive machine learning is an effective tool for motion interaction designers and to make a number of suggestions for future development of the technique.
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The NMR spectra of powdered or otherwise non-oriented solids are often poorly resolved owing to the influence of a variety of anisotropic line-broadening mechanisms. The first-order effects of dipole-dipole coupling and chemical s...
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The NMR spectra of powdered or otherwise non-oriented solids are often poorly resolved owing to the influence of a variety of anisotropic line-broadening mechanisms. The first-order effects of dipole-dipole coupling and chemical shift anisotropy (i.e., when treated as perturbations to the main Zeeman interaction) can be removed by magic angle spinning (MAS) [1], where the sample is rotated rapidly about an axis inclined at an angle of 54.74 to the external magnetic field, B0. The magnitude of these interactions (typically a few kHz and tens to hundreds of ppm, respectively) are such, when compared with the Zeeman interaction (typically tens or hundreds of MHz), that their second-order effects are considered negligible. In contrast, the quadrupolar interaction, observed for nuclei with spin quantum number I > 1/2, is often of sufficient magnitude that its second-order effects cannot be neglected. While MAS is still able to produce some line narrowing, it is not capable of removing completely the second-order quadrupolar broadening and fully isotropic spectra are not obtained [2]. To achieve truly high-resolution spectra a more complex approach, such as multiple-quantum (MQ) MAS [3], satellite-transition (ST) MAS [4], double rotation (DOR) [5] or dynamic angle spinning (DAS) [6], is required.
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