A Light Discussion and Derivation of Entropy
نویسنده
چکیده
The uncertainty in a set of discrete outcomes is the entropy. In some text books an explanation for this assertion is often another assertion: the entropy is the average minimum number of yes-no questions necessary to identify an item randomly drawn from a known, discrete probability distribution. It would be preferable to avoid these assertions and search for the heart of the matter where does entropy arise from? This manuscript addresses this question by deriving from three simple postulates an expression for entropy.
منابع مشابه
A review of quantum thermodynamics
In this article, we present a brief and elementary review of quantum thermodynamics and its achievements and challenges. This review includes an introduction to some fundamental concepts such as internal energy, heat, work, entropy, entropy production, thermal equilibrium, second law of quantum thermodynamics, relation between thermodynamics and information theory, as well as a discussion of ho...
متن کاملA note on the entropy production formula
We give an elementary derivation of the entropy production formula of [JP1]. Using this derivation we show that the entropy production of any normal, stationary state is zero.
متن کاملOn Jordan left derivations and generalized Jordan left derivations of matrix rings
Abstract. Let R be a 2-torsion free ring with identity. In this paper, first we prove that any Jordan left derivation (hence, any left derivation) on the full matrix ringMn(R) (n 2) is identically zero, and any generalized left derivation on this ring is a right centralizer. Next, we show that if R is also a prime ring and n 1, then any Jordan left derivation on the ring Tn(R) of all n×n uppe...
متن کاملSurvey of the Balance of Equilibrium Erosion in the Hajiabad River Watershed (Hormozgan Province) using the Entropy Model
Erosion is a surface-leveling phenomenon where thetransportof sediments from being washed off the land or by the force of gravity move from elevated areas. During different periods, in Iran, constantly flowing water has been affected by erosion. Thus it is important to address the erosionproblem. This research attempts to assess and identify the parameters affecting erosion in Haji Abad Wa...
متن کاملSimple Entropic Derivation of a Generalized Black-Scholes Option Pricing Model
A straightforward derivation of the celebrated Black-Scholes Option Pricing model is obtained by solution of a simple constrained minimization of relative entropy. The derivation leads to a natural generalization of it, which is consistent with some evidence from stock index option markets.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- CoRR
دوره abs/1404.1998 شماره
صفحات -
تاریخ انتشار 2014