|
|
Všudypřítomné exponenciální zobrazení a edukační aspekty interdisciplinární fyziky
Gottvald, Aleš
We emphasize the concept of exponential family and elucidate its ubiquitous and unifying role for interdisciplinary physics. We outline some metamorphoses of the exponential family in Bayesian Inference, Statistical Thermodynamics, Quantum Physics, Fourier Spectroscopy, Analytical Combinatorics, Sufficient Statistics, Symmetries and Lie Groups, Complex Systems (spiral geometries, power laws, phyllotaxis). On a heuristic level, the exponential family elucidates analogies between many seemingly scattered concepts and constructions, thus representing a tool of remarkable educational value. On a deeper epistemic level, the exponential faimly points out to some important ideas behind information physics and interdisciplinary science in general, thus representing a vivid research concept
|
guest ::
