Any Entropie Field is a collection of Microstates (assembled into a Causal Macrostate
or Phase as part of a Causal Process cycle) causally generated one from another as an Effect of the Causal Couple Temperature / Information variation.
t], t [greater than or equal to] 0, let us enumerate the states of this process in the direct lexicographic order of the components r, n, w, v, m, and refer to the set of the states of the Markov chain having values (i, r) of the first two components of the Markov chain as the macrostate
Shannon's concept of information, based on Boltzmann's equation about the relationship between entropy, microstate, and macrostate
, does not specify sequence subunits.
The aim of the work is the analysis of dimensional boundary between the nano-and macrostate
and mathematical description of the nanoparticle term.
com) conniverate noncreative (W2), nonreactive constabule locust bean contrarisome sermocinator (W2) coral teeth trochleate (W2) cortenions (plural of consertion (Webster's Revised Unabridged cortenion) Dictionary, 1998) cream toast macrostate
(OED) cream-shitters (plural Christmas tree of cream-shitter) Denver omelette Love Me Tender (Elvis Presley film and song from 1956; www.
The Boltzman entropy of the initial distribution of temperature may be calculated as k log(P) where k is the Boltzmann constant and P is the number of microstates compatible with the actual macrostate
, that is, with the actual value of our function at the boundary ).
6 Formulating the concept of entropy as measuring the number of possible microstates corresponding to the given macrostate
, the second law of thermodynamics will tell us that in spontaneous natural processes, the macrostates
are shifted towards new macrostates
in which the number of possible microstates is higher.
In a sense we "collapse" the brain geometry from a spatial extension to a pointwise representation in the macrostate
This is because entropy is a property of a macrostate
and is defined in terms of the number of possible microstates which correspond to that macrostate
, relative to the total number of possible microstates.
A compost heap is entropic in that a large number of different microstates (possible combinations and configurations of parts) correspond to the same macrostate
(the same compost heap).
The initial macrostate
of that two-body system was compatible with a huge numbe of its possible microstates: and the overwhelming majority of those compatible microstates were ones which the deterministic equations of motions entail would evolve, over the next ten minutes, towards states in which the temperature-difference between those two bodies is smaller.
Stability criteria for the contextual emergence of macrostates
in neural networks.