-
general notion of a
monotonic function. The
terms nondecreasing and
nonincreasing are
often used in
place of
increasing and
decreasing in
order to avoid...
-
double edges or loops. The
degree sequence is a list of
numbers in
nonincreasing order indicating the
number of
edges incident to each
vertex in the...
- In mathematics, a
monotonic function (or
monotone function) is a
function between ordered sets that
preserves or
reverses the
given order. This concept...
- case. Let {a1, a2,...} be a
sequence of real
numbers that is
either nonincreasing or nondecreasing, and let {b1, b2,...} be a
sequence of real or complex...
- analysis, it
suffices to
bound the
function of
interest with
continuous nonincreasing positive definite functions. In
other words, when a
function belongs...
- F t } {\displaystyle \left\{Z_{t},{\mathcal {F}}_{t}\right\}} is a
nonincreasing predictable sequence (Note that if { X t } {\displaystyle \left\{X_{t}\right\}}...
- Note that H δ d ( S ) {\displaystyle H_{\delta }^{d}(S)} is
monotone nonincreasing in δ {\displaystyle \delta }
since the
larger δ {\displaystyle \delta...
- k α k α k ′ {\displaystyle \lambda _{k}\alpha _{k}\alpha _{k}'} is
nonincreasing for
increasing k {\displaystyle k} ,
whereas the
elements of α k {\displaystyle...
- The
sequence ( A n ) {\displaystyle \left(A_{n}\right)} is said to be
nonincreasing if A n + 1 ⊆ A n {\displaystyle A_{n+1}\subseteq A_{n}} for each n ...
-
nondecreasing sequence and S n + ( T − T n ) {\displaystyle S_{n}+(T-T_{n})} is
nonincreasing.
Given m , n > N {\displaystyle m,n>N} then both S n , S m {\displaystyle...
