-
forced by
subadditivity to dip
below the s ∗ + ϵ {\displaystyle s^{*}+\epsilon }
slope line, a contradiction. In more detail, by
subadditivity, we have...
-
subadditivity properties of the von
Neumann entropy in 1936.
Quantum relative entropy was
introduced by
Hisaharu Umegaki in 1962. The
subadditivity and...
-
linked the
definition to the
mathematical concept of
subadditivity; specifically,
subadditivity of the cost function.
Baumol also
noted that for a firm...
- The
subadditivity effect is the
tendency to
judge probability of the
whole to be less than the
probabilities of the parts. For instance,
subjects in one...
- and only if it is
subadditive. Therefore, ****uming p ( 0 ) ≤ 0 {\displaystyle p(0)\leq 0} , any two
properties among subadditivity, convexity, and positive...
-
entropy was
given by Aczél,
Forte and Ng, via the
following properties:
Subadditivity: H ( X , Y ) ≤ H ( X ) + H ( Y ) {\displaystyle \mathrm {H} (X,Y)\leq...
- the
function on each of the sets. This is
thematically related to the
subadditivity property of real-valued functions. Let Ω {\displaystyle \Omega } be...
- In
quantum information theory,
strong subadditivity of
quantum entropy (SSA) is the
relation among the von
Neumann entropies of
various quantum subsystems...
-
multiplicativity are
readily apparent from the definition. To see that
subadditivity holds,
first note that | a + b | = s ( a + b ) {\displaystyle |a+b|=s(a+b)}...
- m ( T n x ) {\displaystyle g_{n+m}(x)\leq g_{n}(x)+g_{m}(T^{n}x)} (
subadditivity relation). Then lim n → ∞ g n ( x ) n =: g ( x ) ≥ − ∞ {\displaystyle...
