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Logical Construction of the Ionization Energy Theory and the Origin of Physical Categories
Logical Construction the Ionization Energy Theory the Origin of Physical Categories General Physics
2012/5/31
Logical proofs and definitions are developed to establish (i) the energy-level spacings, \xi for each chemical element (from the periodic table of chemical elements) can be converted to the ionization...
Regard Renormalization in QED as Functor between Categories
Regard Renormalization QED Functor between Categories Mathematical Physics
2011/9/19
Abstract: To unify the quantum electrodynamics (QED) under the first principle which brings the renormalization unartificially, we study Feynman diagrams in QED according to the set theory and the cat...
Categories of unitary representations of Banach-Lie supergroups and restriction functors
Banach–Lie supergroups unitary representations smooth vectors analytic vectors
2011/8/25
Abstract: We prove that the categories of smooth and analytic unitary representations of Banach--Lie supergroups are well-behaved under restriction functors, in the sense that the restriction of a rep...
Supervised and Unsupervised Learning of Multidimensional Acoustic Categories
auditory categories supervised learning unsupervised learning nonspeech
2014/5/7
Learning to recognize the contrasts of a language-specific phonemic repertoire can be viewed as forming categories in a multidimensional psychophysical space. Research on the learning of distributiona...