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Vor 4 Tagen · In mathematical statistics, the Kullback–Leibler (KL) divergence (also called relative entropy and I-divergence), denoted (), is a type of statistical distance: a measure of how one probability distribution P is different from a second, reference probability distribution Q.
Vor 3 Tagen · However, an increase in the statistical entropy when two system are combined is perfectly consistent with information theory because the particles have access to a greater volume and therefore there is a greater uncertainty over their position. It is entirely possible, therefore, that the statistical entropy is not equivalent to thermodynamic entropy.
Vor 2 Tagen · Beim Schmelzen von Eis wird die geordnete Eiskristallstruktur in eine ungeordnete Bewegung einzelner Wassermoleküle überführt: Die Entropie des Wassers im Eiswürfel nimmt dabei zu. Die Entropie ist eine in der Thermodynamik definierte physikalische Größe von fundamentaler Bedeutung. Sie ist eine der Zustandsgrößen eines makroskopischen ...
- Entropie
Vor einem Tag · In probability theory and statistics, the binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a sequence of n independent experiments, each asking a yes–no question, and each with its own Boolean-valued outcome: success (with probability p) or failure (with ...
Vor 2 Tagen · Entropy is a fundamental concept in information theory and coding, which was introduced by Claude E. Shannon in his seminal 1948 paper, “A Mathematical Theory of Communication. In the context of information theory, entropy is a measure of the uncertainty or the randomness in information content. It’s crucial in determining the limits of ...
Vor 9 Stunden · Besides, he gave a dimensional description of entropy, which led to fruitful results in dimension theory, ergodic theory, multifractal analysis and other fields of dynamical systems. The variational principle shows that the topological entropy is the supremum of the measure-theoretical entropy, where the supremum is taken over all the ergodic measures [ 28 ].
Vor 3 Tagen · We analyze the entropy behavior of the de Sitter spacetime during the inflationary phase. In the de Sitter spacetime, a cosmological horizon that constrains the causal accessible region of an observer, exhibits thermal properties analogous to the event horizon of a black hole. From the principle of holography, the entropy within the causally connected region for an observer is constrained by ...
