Titlebook: Mathematics and Physics; Yu. I. Manin Book 1981 Springer Science+Business Media New York 1981 mathematical physics.mathematics.physics

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Yu. I. Maninterminant of a log of Frobenius. In this paper we investigate further the properties of the Lefschetz and log of monodromy operators on this cohomology. We use the Connes-Kreimer formalism of renormalization to obtain a fuchsian connection whose residue is the log of the monodromy. We also present a

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Yu. I. Maninhe applications of noncommutative geometry to gauge theoriesThis book provides an introduction to noncommutative geometry and presents a number of its recent applications to particle physics. It is intended for graduate students in mathematics/theoretical physics who are new to the field of noncommu

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1389-2185 librium during its formation. However progress in the application of chemical thermodynamics to geological systems has been hindered since the time of Bowen and the other early physical-chemical petrologists by the recurring Cluandary of the experimental geologist. His systems are complex and are ex

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Hypoxia and Perfusion Labeling During Photodynamic Therapy,stochemical staining for vascular structure can provide accompanying information on the status of tumor blood flow at treatment conclusion. Taken together these data can be used to access the relative spatial distributions of hypoxia and perfusion during PDT.

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