Titlebook: Implicit Functions and Solution Mappings; A View from Variatio Asen L. Dontchev,R. Tyrrell Rockafellar Textbook 20091st edition Springer-Ve

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Asen L. Dontchev,R. Tyrrell Rockafellarspin and have symmetric wave functions; fermions are quantum particle with half-integer spin and are represented with anti-symmetric wave functions. The functional setting is given by symmetric or anti-symmetric tensor product of Hilbert spaces. We describe these spaces and transformations between t

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Asen L. Dontchev,R. Tyrrell Rockafellarrt space of quantum states (and on quantum operators) as a phase-space translation. Then applying it to a Schwartz class state of arbitrary profile we get a set of generalized coherent states. When we apply the Weyl–Heisenberg translation operator to the ground state of the .-dimensional Harmonic Os

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Asen L. Dontchev,R. Tyrrell Rockafellar n-sphere, the hydrogen atom and the Bargmann space representation. Ph.D. thesis, Mathematics Department, University of Virginia, 1996, [251]), Thomas and Villegas-Blas (Commun Math Phys 187:623–645, 1997, [244]). We show that in a semiclassical sense they concentrate essentially around the Kepler o

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LatentGaze: Cross-Domain Gaze Estimation Through Gaze-Aware Analytic Latent Code Manipulationeatures that include gaze-relevant components has been ambiguous. This obscurity makes the model learn not only gaze-relevant features but also irrelevant ones. In particular, it is fatal for the cross-dataset performance. To overcome this challenging issue, we propose a gaze-aware analytic manipula

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Research on the Fluctuation Characteristics of Social Media Message Sentiment with Time Before and Desonance. This paper focuses on exploring the fluctuation of emotions with time in a “tree hole” of social media such as Microblog, and provides ideas and support for suicide warning, rescue, and user portraits of patients with depression in the “tree hole”. In this paper, the dataset of 2,356,066 m

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Novel Hybrid-Testing Paradigms for Automated Vehicle and ADAS Function Developmentnt stages, since they require extensive calibration, testing, and validation before they can be commissioned. Specifically, testing and verifying the expected vehicle behavior for ADAS/AD functions in various traffic scenarios is a major challenge. Unfortunately, the extent of real-life tests is oft