-
general notion of a
monotonic function. The
terms nondecreasing and
nonincreasing are
often used in
place of
increasing and
decreasing in
order to avoid...
- In mathematics, a
monotonic function (or
monotone function) is a
function between ordered sets that
preserves or
reverses the
given order. This concept...
-
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...
- analysis, it
suffices to
bound the
function of
interest with
continuous nonincreasing positive definite functions. In
other words, when a
function belongs...
- 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...
- 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...
-
overpartitions of n: an
overpartition of n is an
ordered sequence of
nonincreasing integers that sum to n,
where the
first occurrence of each
integer may...
-
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...
- {\displaystyle \lim _{x\to c}M(x)} both
exist as they
feature nondecreasing and
nonincreasing functions of x, respectively.
Consider a
sequence x i → c {\displaystyle...
-
bitonic sequence (a
single nondecreasing sequence followed by a
single nonincreasing one or vice versa), then the
output will form two
bitonic sequences...
