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• W95085772 abstract "On the basis of Bayes transformation group generators, we introduce geodesic flows in non-Euclidean Bayes group manifold and derive the relation between conditional likelihoods and affine connections of this topological group manifold in four dimensional parametric space. Using this method, we show that field equations of log-likelihoods are similar to spinless particle field equations. Generalization to the two dimensional space-time leads to the well known Lorentz transformation. By introducing the relation between probability conservation and conservation of physical quantities, we derive momentum conservation law and solutions of one dimensional heat transfer." @default.
• W95085772 created "2016-06-24" @default.
• W95085772 creator A5077161713 @default.
• W95085772 date "2007-12-29" @default.
• W95085772 modified "2023-09-26" @default.
• W95085772 title "Approach to conservation laws based on Bayes group generators and its geodesic flows" @default.
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• W95085772 hasPublicationYear "2007" @default.
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