- also
known as the law of
equipartition,
equipartition of energy, or
simply equipartition. The
original idea of
equipartition was that, in
thermal equilibrium...
- In
information theory, the
asymptotic equipartition property (AEP) is a
general property of the
output samples of a
stochastic source. It is fundamental...
- atom,
corresponding to the
three spatial directions.
According to the
equipartition of
energy this
means that
there is a
thermal energy of 3/2 kT per...
-
equally split between kinetic and potential. This is an
example of the
equipartition principle: the
total energy of a
system with many
degrees of freedom...
-
degrees of
freedom can be defined, each with a
different value. By the
equipartition theorem,
internal energy per mole of gas
equals cv T,
where T is absolute...
-
substance will go into
raising its temperature,
exemplified via the
equipartition theorem.
Statistical mechanics predicts that at room
temperature and...
- intuitively.
Suppose the
source is ergodic, then it has the
asymptotic equipartition property (AEP). By the AEP,
after a long
stream of n {\displaystyle...
- \cdots ,x_{n})-H_{n}(X)\right|<\varepsilon \right\}.} The
asymptotic equipartition property (AEP)
shows that for
large enough n, the
probability that a...
-
entropy Entropy rate
Limiting density of
discrete points Asymptotic equipartition property Rate–distortion
theory Shannon's
source coding theorem Channel...
-
entropy Entropy rate
Limiting density of
discrete points Asymptotic equipartition property Rate–distortion
theory Shannon's
source coding theorem Channel...
